Therefore , the solution of the given problem of triangle comes out to be ABC is congruent with XYZ.
Describe the triangle.A triangle is a polygon since it has three parts and three vertices. It is a fundamental geometric figure. A triangle with the corners A, B, & C is referred to as triangle ABC. A single planar and triangle are found in geometric shapes when four elements are not collinear. Due of its three sides and top right corner, triangles are classified as polygons.
Here.
ABC is congruent with XYZ, hence
then,
∠A equals ∠X
∠B is equivalent to ∠Y.
∠C equals ∠ Z
and,
xy is equivalent to line ab.
yz is identical to line bc.
xz is equivalent to line ac.
Cpct was used to resolve this.
congruent triangle's matching triangle segments
Therefore , the solution of the given problem of triangle comes out to be ABC is congruent with XYZ.
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Pablo shares his birthday cake with a friend. Pablo eats 3/8 and his friend eats 1/4. How much of the cake was left over? (Represent your answer as a fraction)
Answer:3/8 was left over
Step-by-step explanation: 3/8 plus 1/4 x 2 equals 5/8... remainder 3/8
Answer:
3/8 (this is the answer)
What are the 4 quadrants in order?
The 4 (four) quadrants in order are: Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.
A coordinate plane is divided into four sections called quadrants. These quadrants are numbered I, II, III, and IV in a counterclockwise direction, starting with the top right.
Quadrant I is the top right section of the coordinate plane, and it contains all the points where the x-coordinate and y-coordinate are positive.
Quadrant II is the top left section of the coordinate plane, and it contains all the points where the x-coordinate is negative and the y-coordinate is positive.
Quadrant III is the bottom left section of the coordinate plane, and it contains all the points where the x-coordinate and y-coordinate are negative.
Quadrant IV is the bottom right section of the coordinate plane, and it contains all the points where the x-coordinate is positive and the y-coordinate is negative.
Understanding this concept is important for solving mathematical problems, especially in algebra and geometry.
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What is ¾ divided by 4?
The solution to this ¾ divided by 4 is 0.1875.
To visualize the question we are trying to solve, let's put 3/4 and 4 side-by-side so it's easier to see:
3/4÷4
The numbers in 3/4 divided by 4 are labeled below:
3 = numerator
4 = denominator
4 = whole number
All we need to do here is keep the numerator exactly the same (3) and multiply the denominator by the whole number:
3/4 x4= 3/16.
Once you have your final fraction, just divide the numerator by the denominator to get your answer in decimal form:
3/16=0.1875
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Non -examples of the property 0
When we multiply any number by zero, the outcome is always a zero, according to the definition of the zero property of multiplication, examples as 8 x 0 = 0.
What is zero property?When we multiply any number by zero, the end result is always a zero, according to the definition of the zero property of multiplication. Zero need not always be the first or second number. When multiplied by another number, it could be anywhere. This indicates that the outcome of the multiplication is unaffected by the placement of the digit zero.
All different kinds of numbers fall under the umbrella of this property. They could be fractional, decimal, or integer numbers. Thus, the results of some such numbers will be as follows:
10 x 0 = 0 6.4 x 0 = 0
½ x 0 = 0 1 x 2 x 3 = 0
A non-example of property 0 is: 5 × 1 = 5, the number is not multiplied by 0, therefore, it does not denote the zero property of multiplication.
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Compete question is: Give non-example of the property 0.
Find the probability using the normal distribution. Use a graphing calculator and round the answer to four decimal places. P(0 < z < 2.18)- Find the area under the standard normal distribution curve to the left of z-1.34 and to the right ofz -2.13. Use a graphing calculator and round the answer to four decimal places. The area is
The probability of 0 < z < 2.18 is 0.9945, rounded to four decimal places.
1. To find the probability, we first need to calculate the area under the standard normal distribution curve to the left of z = 1.34 and to the right of z = 2.13.
2. To do this, we can use the graphing calculator to plot the standard normal distribution curve.
3. Then, we can calculate the area under the curve to the left of z = 1.34 by subtracting the area under the curve to the left of z = 2.13 from the total area under the curve.
4. Finally, we can round the answer to four decimal places to get the probability of 0.9945.
The probability of 0 < z < 2.18 is 0.9945, rounded to four decimal places.
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A spherical balloon has a radius of 15cm. Air is added to the balloon until it's surface area
increases by 500 cm². What would be the new diameter of the balloon after the air is added?
The new diameter of the sphere after the air is added is 32.6cm
What is surface area of a sphere?A sphere is a solid figure bounded by a curved surface such that every point on the surface is the same distance from the centre.The Surface Area of Sphere is 4πr², where r is the radius of sphere.
The original surface area when air is not added. is :
A = 4×3.14×15²
A = 2826cm²
When air is added, the surface area increased by 500cm². Therefore the new surface area = 2826+500 =3326cm²
To find the new radius of the sphere
3326 = 4×3.14× r²
r² = 3326/12.56
r² = 265
r = √265
r = 16.3
the diameter of the balloon after the air is added = 2r = 2× 16.3 = 32.6 cm
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Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes
Maisie wants to make a rectangular lawn 10 m by 14m.
She has 5 boxes of grass seed.
(a) Has Maisie got enough grass seed to make a lawn 10 m by 14m!
You must show all
your working
(4)
Total Seeds required 9.33 kg and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.
If you're fortunate enough to have a rectangular lawn, determining the size is straightforward. Multiply the length and breadth measurements together to get the total. You now have your region/area.
So, Maisie knows that she needs 3 kg of grass seed to make a rectangular lawn 5 m by 9m.
Grass seed is sold in 2 kg boxes,
Maisie wants to make a rectangular lawn 10 m by 14 m,
She has 5 boxes of grass seed
To Find, Has Maisie got enough grass seed to make a lawn 10m by 14 m
Solution:
3 kg of grass seed to make a rectangular lawn 5 m by 9m.
=> 3 kg of grass seed needed for 5 x 9 = 45 m²
=> 1 m² required = 3/45 kg seed
a rectangular lawn 10 m by 14 m,
area = 10 x 14 = 140 m²
Hence 140 m² required = 140 x 3/45 = 9.33 kg
Grass seed is sold in 2 kg boxes,
She has 5 boxes of grass seed
Hence total seeds = 5 x 2 = 10 kg
Therefore, total seeds required 9.33 kg and she has 10 kg.so, she has enough grass seed to make a lawn 10m by 14 m.
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braylon had 75% of all baseball cards ever made bob's publishing company. if he has 960 cards, how many had bob's publishing company made?
Answer:1280
Step-by-step explanation:
75% of something is 960 you can use trial and error to find the amount by just doing 75% of a number a little higher than what you got
Keith caught a fish that measured 20 inches. Jeremy caught a fish that measured 19 inches. How many inches longer was Keith’s fish than Jeremy’s?
Answer:
1 inch
Step-by-step explanation:
It's 1 inch because you minus 20 inch by 19 inch and get 1 inch
What is the solution for [tex]x^{2} + 4x\ \textgreater \ 77[/tex]?
x < –7 or x > 11
x < –11 or x > 7
–7 < x < 11
–11 < x < 7
The solutions of x² + 4x > 77 is x < –11 or x > 7
Solutions of an equation:An equation is a mathematical expression that states that two algebraic expressions must be equal in nature. Finding the value of a variable in an equation indicates the process of solving an equation. The solution of the equation is the value that was determined while solving the equation.
Here we have
x² + 4x > 77
Subtract -77 from both sides
=> x² + 4x - 77 > 77 - 77
=> x² + 4x - 77 > 0
The above expression can be factorized as follows
=> x² + 11x - 7x - 77 > 0 [ Split middle term ]
=> x(x + 11) - 7(x + 11) > 0
=> (x + 11) (x - 7) > 0
=> (x + 11) > 0 (x - 7) > 0
=> x < -11 x > 0
Therefore,
The solutions of x² + 4x > 77 is x < –11 or x > 7
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Use the distributive
property to write an
expression
that is
equivalent
to 32 + 4r.
Answer:
4 (8+r)
Step-by-step explanation:
What is the total area of the three triangle?
Answer: triangle 1's 1/2 length* triangle 1's width+triangle 2's 1/2 length* triangle 2's width+triangle 3's 1/2 length* triangle 3's width
Step-by-step explanation: triangle 1/2 length* triangle width=triangle area.
For a given recipe, 3 cups of flour are mixed with 9 cups of sugar. How many cups of flour should be used if 63 cups of sugar are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
Use direct variation method of mathematics
What kind of slope does y 10 have?
The slope of line y = 10 is zero.
We know that the slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate.
It describes the steepness of a line.
The slope of x - axis.
m = 0
As for x-axis the change in y-coordinate is zero.
So, by definition of slope,
m = 0/(change in x coordinate)
m = 0
We know that the slopes of parallel lines are equal.
A line y = 10 is parallel to x-axis
So, the slope of line y = 10 is zero.
i.e., the line y = 10 has zero steepness.
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i need help asap!! ANYONE?? I HAVENT DONT THIS IS LIKE a year
Answer: 5 or -5
Step-by-step explanation:
Since a^2+b^2=c^2 is the Pythagorean theorem, you need to plug in a=3 and b=4 into the equation. 3^2+4^2=c^2. Simplify the left side of the equation first. 3^2 is 9 and 4^2 is 16. 9+16=25. So, 25=c^2. Take the root of this and the square root of 25 is -5 or 5 interchangeably.
If 750ml of paint covers an area of 12 m2, what area (in m2) will 1.6 litres of paint cover?
Answer: To find the area that 1.6 litres of paint will cover, we can use the unit rate. The unit rate is a way to compare different quantities by finding how much of one quantity corresponds to one unit of another quantity.
We know that 750ml of paint covers an area of 12 m2, this means that the unit rate of paint:area is 750ml:12m^2
We can use this to find the area that 1.6 litres of paint will cover.
First we should convert the 1.6 litres of paint to milliliters, since we have the unit rate in ml:
1.6 litres = 1.6*1000 ml = 1600 ml
Now we can use the unit rate to find the area that 1.6 litres of paint will cover:
Area = (1600 ml paint) * (12 m2/750ml paint) = 21.333 m2
So, 1.6 litres of paint will cover approximately 21.333 m^2
Note that you could also use the proportion (750ml/12m^2) = (1600ml/x) to find the value of x.
Step-by-step explanation:
Sue ha 20 bicuit in a tin. There are: 12 plain bicuit
5 chocolate bicuit
3 currant bicuit
Sue take two random bicuit from the tin. Work out the probability that the two bicuit are not the ame type
So, the probability that the two biscuits are not the same type is 0.15 or 15%.
To find the probability that the two biscuits are not the same type, we need to calculate the probability that Sue takes one biscuit of each type.
First, we will calculate the probability that Sue takes one plain biscuit, one chocolate biscuit, and one currant biscuit.
The probability of Sue taking one plain biscuit is 12/20, since there are 12 plain biscuits out of a total of 20.
The probability of Sue taking one chocolate biscuit after taking a plain biscuit is 5/19, since there are now 5 chocolate biscuits out of 19 remaining.
The probability of Sue taking one currant biscuit after taking a plain and chocolate biscuit is 3/18, since there are now 3 currant biscuits out of 18 remaining.
To find the overall probability that Sue takes one biscuit of each type, we multiply the individual probabilities together:
P = (12/20) * (5/19) * (3/18) = 0.15
So, the probability that the two biscuits are not the same type is 0.15 or 15%.
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Suppose a ball was dropped from a TV tower 2120 feet high. The time it takes an object to free-fall from the top of this tower to the ground can be represented by the equation s = -16t^2 + 2120, where s is the distance from the ground in feet and t is the time in seconds. Approximately how long will it take the object to reach the ground?
If a ball is dropped from 2120 feet, it will take approximately_________ seconds to reach the ground.
The time taken by the ball to reach the ground is 11.5 seconds.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Suppose a ball was dropped from a TV tower 2120 feet high. The time it takes an object to free-fall from the top of this tower to the ground can be represented by the equation s = -16t² + 2120.
The time will be calculated as,
s = -16t² + 2120
Equate with zero as the ball reaches the ground the height s becomes zero.
-16t² + 2120 = 0
-16t² = -2120
t² = 2120 / 16
t² = 132.5
t = √132.5
t = 11.5 seconds
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How do you draw a triangle with 7cm 5cm and 4cm?
ΔABC is the required triangle in which AB = 4 cm, BC = 7 cm and AC = 5 cm.
To see the attachment.
Now, According to the question:
Let us assume that given sides are :
BC = 7 cm, AB = 4 cm and AC = 5 cm
Steps of construction
Step I Draw a line BC = 7 cm.
Step II With center B and radius 4 cm draw an arc.
Step III With center C and radius 5 cm, draw an arc which cuts the previous arc at A.
Step IV Join AB and AC.
Hence, ΔABC is the required triangle in which AB = 4 cm, BC = 7 cm and AC = 5 cm.
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rewrite the following ratios in simplest form
Answer:
in Step-by-step explanation
Step-by-step explanation:
9)
60/40 = divide both side by 10
6/4 = divide both side by 2
3/2
10)
28/63 = divide both side by 7
4/9
11)
45/120 = divide both side by 15
3/8
what is the equation of the line shown in the graph?
Note that the line is a horizontal line, passing through the point (0, 1) in the y-axis.
All points of this line have 1 as their y-coordinate. That is, this line contains points like (-3, 1), (-1, 1), (5, 1), (17, 1)... etc.
Thus, this is the line where y is always 1, this is the line y=1.
What is horizontal line?A horizontal line is a sleeping line. It is a straight line that goes from left to right or right to left. The word horizontal is derived from the word “horizon”, which is the line where the earth and sky appear to be meeting far far away. A horizontal line is a straight line that is parallel to the x-axis and where all the points on the line have the same y-coordinate.Horizontal line is a straight line that is mapped from left to right, whereas the vertical is a straight line that is mapped from top to bottom. In coordinate geometry, the line parallel to the x-axis is called horizontal line and the line which is parallel to the y-axis is called vertical line.To learn more about vertical line refer to:
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Each and every point along this line has a y-coordinate of 1. This line has points like (-3, 1), (-1, 1), and (5, 1), for example (17, 1).
What is meant by equation of the line?The formula for these lines is y = mx + b, where m denotes the slope and b the y-intercept.
A sleeping line is a line that is horizontal. From left to right or right to left, it is a straight line. The word "horizon," which refers to the line where it appears that the earth and sky are meeting in the distance, is the ancestor of the word "horizontal." A horizontal line is a straight line that is perpendicular to the x-axis and contains points with identical y-coordinates throughout.
Vertical lines are straight lines that are mapped from top to bottom, whereas horizontal lines are straight lines that are mapped from left to right. In coordinate geometry, the horizontal line is the line parallel to the x-axis, while the vertical line is the line parallel to the y-axis.
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What is the value of x? there are two triangles, triangle abc and triangle def. Side ab is congruent to side de, side ac is congruent to side df. Angle cab is congruent to angle fde. The length of the side bc is (x-4).
There are two triangles, triangle abc and triangle def. Side ab is congruent to side de, side ac is congruent to side df. Angle cab is congruent to angle fde. The length of the side bc is (x-4). The value of x is 23.
The value of x can be calculate as follows:
Given that the triangles are congruent and moreover
Considering that
AB = DE
AC = DF
so,
The third will be compatible as well.
so,
BC = AE
x - 4 = 19
x = 19 + 4
x = 23
Therefore , the value of x is 23. When there are two triangles, triangle abc and triangle def. Side ab is congruent to side de, side ac is congruent to side df. Angle cab is congruent to angle fde. The length of the side bc is (x-4).
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Please answer this question and I will give you a brainlist!
Answer:
I think it's (4,4) but I could be wrong
Step-by-step explanation:
Brayden i earning money for a charity by walking lap around a track. He walk 2 1/2 lap each day for 7 day for 7 day. Hi goal i 16 lap. If he walk 16 lap or more, he earn $2 per lap. If he walk le than 16 lap, he earn $1 per lap
Brayden's total earning by walking lap around a track is $35, if he walks 2+1/2 = 5/2 laps per day for 7 days.
Per day walking of brayden = 5/2 laps
7 days walking of brayden = 5/2 × 7 = 35/2 laps
As per the question statement he earns $1 per lap if he walk less than 16 laps and $2 per lap if hi walks 16 or more lap. Since the total walking of brayden is more than 16 laps, so he will earn at the rate of $2 per lap. So total earning will be,
= 2× 35/2
= $35
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A newsletter publisher believes that more than 31% of their readers own a personal computer. Is there sufficient evidence at the 0.02 level to substantiate the publisher's claim?
State the null and alternative hypotheses for the above scenario
The null hypothesis is: H0: p ≤ 0.31
The alternative hypothesis is : H1: p > 0.31
What is a null hypothesis?A common statistical theory called the null hypothesis asserts that there is no statistical link or significance between two sets of observed data and measurable events for a given single observed variable.
The null states that the probability of the readers have the personal computers have to be lower than or equal to 31 percent.
What is the alternative hypothesis?
An alternate hypothesis is a claim that the two variables have some kind of statistical relationship.
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What is the value of x in X² 9?
The value of x in the given equation x² = 9 is x = ± 3.
In x² = 9, we need to remove the power of 2 in order to separate just x.
This implies finding the square root √x² which is equal to x.
However, there are 2 possible answers to any square root, a positive or a negative answer.
x = √9
x = ± 3
0r we can solve this equation by the splitting method.
Rearrange the equation
x² = 9
(x - 3)(x + 3) = 0
On solving, we get
x = +3 and x = -3
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Give the first five terms of the sequence:
2/5,A₂ =4/5; ªn‚ = ª,-2 (for n ≥ 3)
Answer: 2/5, 4/5, -4/5, 8/5, -16/5
I dunno that's what I got I could be wrong
The range of the function f(x)=[x+3]-5 is
A) [-5,∞)
B) (-5,∞)
C) [3,∞)
D) (3,∞)
The range of a function is the set of all possible outputs (y-values) for a given input (x-value).
Given the function f(x) = [x+3]-5, we can see that the function first adds 3 to x and then subtracts 5. The square bracket notation around (x+3) indicates that the function is taking the greatest integer less than or equal to (x+3).
For any input x, the output of the function will always be the greatest integer less than or equal to (x+3) - 5. Therefore, the output of the function is always an integer less than or equal to -2.
So the range of the function is [-5, -2] U (-2, ∞)
Option A) [-5,∞) is incorrect as the range starts with -5 but the function output is always less than or equal to -2.
Option B) (-5,∞) is incorrect as the function output is always less than or equal to -2.
Option C) [3,∞) is incorrect as the function output is always less than or equal to -2.
Option D) (3,∞) is incorrect as the function output is always less than or equal to -2.
The correct answer is (-2, ∞)
What causes eye dilation?
Light and emotional variables are affected by eye dilation. Under typical conditions, pupils are meant to dilate as a result of changes in lighting and psychological factors.
Why do your pupils continue to dilate?A physical or psychological condition, certain substances or prescriptions, or an injury could be the cause of this. The term "blown pupil" is occasionally used by doctors to describe more severe mydriasis when the pupils are fixed and dilated. This disorder may be a sign of brain damage brought on by a stroke or other physical trauma.Light and emotional variables are affected by eye dilation. Under typical conditions, pupils are meant to dilate as a result of changes in lighting and psychological factors.Under typical conditions, pupils are meant to dilate as a result of changes in lighting and psychological factors. A dilated pupil will typically return to its normal size on its own.To learn more about eye dilation refer to:
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geometry rotations image
The reflection in the line y = x, followed by a reflection in the x-axis transformation that maps the preimage to the image.
What is the transformation?
Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation. A function, f, that maps to itself are called the transformation, i.e., f: X → X. The pre-image X becomes the image X after the transformation. This transformation can be any or combination of operations like translation, rotation, reflection, and dilation.
In geometry, transformation involves changing the position and/or size of a shape.
The transformation that maps the pre-image to the image is dilation
From the given diagram
We can see that the size of and are not the same.
When the No change in size or shape or orientation and Flips the pre-image and produces the mirror-image, then the transformation type is Reflection.
Hence, the reflection in the line y = x, followed by a reflection in the x-axis transformation that maps the preimage to the image.
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