Can someone pleasee help and answer these 4 questions for me I already tried so many times trying to figure it out and the due date is this Sunday. Thank you
1. In parallelogram HJKL if HM=12 find HK.
2. Given parallelogram UVWX below, VY = 80. If Y X = 6x + 2, solve for x.
3. Given parallelogram OPQR below,
RS = 65. If SP =- 2x - 7, solve for x.
4. In parallelogram ABCD if m/CDA = 120° find m/ABC.
Answers
Answer:
1. HK = 24
2. x = 13
3. x = -26
4. ∠ABC = 120°
Step-by-step explanation:
(1) In all parallelograms, the diagonals bisect each other, or split each other into two congruent (same) halves.
We are given parallelogram HJKL. Its diagonals are HK and JL, because they both are segments that connect two opposite vertexes.
This means that HK and JL are bisected.
Thus, HM is half of HK.
Let's make an equation to represent this situation and solve for HK.
[tex]HM = \frac{1}{2}HK[/tex]
⇒ [tex]12 = \frac{1}{2}HK[/tex] . . . . . . substitute known values
⇒ [tex]12(2) = \frac{1}{2}HK(2)[/tex] . . . . . . multiply the LHS and RHS by 2 to isolate HK
⇒ ∴ [tex]24 = HK[/tex] . . . . . . compute
(2) This problem is similar to #1, so we can use the same concepts as #1.
However, we are given an expression instead of integers.
The only thing that's different about this problem is that we need to solve for x, not a diagonal or part of a diagonal.
VX and UW are the diagonals of parallelogram UVWX.
Thus, VX and UW are bisected.
Thus, the VY and YX are the same length, because they are split in half.
Let's make an equation to represent this situation and solve for x.
[tex]VY = YX[/tex]
⇒ [tex]80 = 6x + 2[/tex] . . . . . . substitute the known values
⇒ [tex]78 = 6x[/tex] . . . . . . . . . subtract 2 from the LHS and RHS
⇒ ∴[tex]13 = x[/tex] . . . . . . . . . divide both sides by 6 to isolate x
(3) This problem uses the exact same concepts and steps as #2.
Thus, RS and SP are the same length.
Let's make an equation to represent this situation and solve for x.
[tex]RS = SP[/tex]
⇒ [tex]65 = -2x - 7[/tex] . . . . . . . . substitute the known values
⇒ [tex]72 = -2x[/tex] . . . . . . . . . . . add 7 to the LHS and RHS
⇒ ∴[tex]-36 = x[/tex] . . . . . . . . . . . divide both sides by -2 to isolate x
(4) In a parallelogram, the opposite angles are congruent (the same).
In parallelogram ABCD, we are given ∠CDA and asked to solve for ∠ABC.
∠ABC and ∠CDA are opposite angles.
∠CDA = 120°
∠ABC = ∠CDA
∴ ∠ABC = 120°
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The parallelogram HJKL is handed to us. The segments HK and JL, which both link two vertexes that are in opposition to one another, serve as its diagonals, triangle HK = 24; x = 13; x = -26; ∠ABC = 120°
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
All parallelograms have diagonals that cut them in half or divide them into two congruent (same) halves.
HK = 24, x = 13, x = -26, and ABC = 120 degrees.
The parallelogram HJKL is handed to us. The segments HK and JL, which both link two vertexes that are in opposition to one another, serve as its diagonals.
As a result, HK and JL are divided. HM therefore makes up half of HK.
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Related Questions
–5(–2) also i checked and apparently its not -7
Answers
Answer:
Im pretty sure you need to multiply answer is 10
Step-by-step explanation:
because the -5and -2 are right next to each other and if -7 doesn't work thats the next best thing.
what is the quotient of 0.6÷243
Answers
Answer:
the answer is 0.0024
Step-by-step explanation:
there are more digit's after 4 but hope this is enough
PLSSS SHOW UR WORK AND HOW YOU GOT THE ANSWER FOR THIS also help me quickly pls!!
Delroy is going to a dog adoption day at his local animal shelter. he wants to make 4 batches of the biscuits for the dogs. how many cups of margarine will he need?
Answers
= 4/3 cups, or 1 1/3 cups
You multiply the numerator by the whole number, and keep the denominator the same.
Angelica calculated the distance between the two points shown on the graph below.
On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.
Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.
She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.
Answers
Answer:
D
Step-by-step explanation:
The length of the side AB is 8 units, which Angelica calculated correctly.
What is the distance formula between two points?The distance formula between two points,
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the given information AC = 6 units and BC = 10 units.
Therefore, The length of the side AB² = 10² - 6².
AB² = 100 - 36.
AB² = 64.
AB = 8 units.
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Terrell brought $5.00 to spend at the rink's concession stand. Hot dogs cost $0.65, French fries cost $0.80, nachos cost $1.25, and drinks cost $0.95. If Terrell buys French fries and a drink, what is the maximum number of hot dogs he can purchase?
Answers
Answer:
5 hotdogs
Step-by-step explanation:
Deduct the price of French fries + drink from the total amount of money he has.
5.00 - 0.80 - 0.95 = 3.25
Divide the amount of money left with the amount of money each hotdog cost.
3.25 ÷ 0.65 = 5
If the area of the rectangle is 35 units squared, where could point “B” be placed?
Answers
Answer:
(2,0) or (2, -4)
Step-by-step explanation:
Hope that helps!
find the value of x
Answers
Answer:
X=65.4 Degrees
Step-by-step explanation:
Hehe ;)
1) Rewrite the expression as the difference of two squares.
(X+y)(x-y)-6x+9
A) (x + 3)2 + y2
B) (x + 3)2 - y2
c)(x – 3)2 + y2
D) (x – 3)2 - y2
Answers
Answer:
c
Step-by-step explanation:
Is the answer
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answers
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
16d + 20c + 5d -7 - 8c - 7d + 3 Evaluate the expression if: d= -3 and c= 4
Answers
Answer:
2
Step-by-step explanation:
d.
16x-3= -48
5x-3= -15
-7x-3= 21
=-42
c.
20x4= 80
-8x4= -32
= 48
-7+3= -4
how much is 1000 subtract 4
Answers
Answer:
your answer is 996
1000 - 4 = 996
PLZ, HELP WILL GIVE 20 MORE POINTS FOR FREE!!!!!!
Answers
Answer:
16x+12
Step-by-step explanation:
4 sides
2*(5x-2 )
10x-4
2(3x+8)
6x+16
10x-4+6x+16=16x+12
Answer:
3+8=x
Step-by-step explanation:
then 5-2=x multiply and you get 15+16
7. Mrs. Dyson asked her students to draw a figure with a perimeter of 4x+4.
Shown below are 4 drawings made by her students. (They are not drawn to
scale.) Which one is NOT correct? *
Answers
Answer:
the answer is b
Step-by-step explanation:
find the formula for the nth term in the given sequence 12,36,108,324,972
Answers
Answer:
[tex]\huge\boxed{a_n=12\cdot3^{n-1}=4\cdot3^n}[/tex]
Step-by-step explanation:
[tex]a_1=12\\\\a_2=36=3\cdot12=3a_1\\\\a_3=108=3\cdot36=3a_2=3\cdot3a_1=3^2a_1\\\\a_4=324=3\cdot108=3a_3=3\cdot3^2a_1=3^3a_1\\\\a_5=972=3\cdot342=3a_4=3\cdot3^3a_1=3^4a_1\\\vdots\\a_n=3^{n-1}a_1=3^{n-1}\cdot12\\\\3^{n-1}\cdot12=3^{n-1}\cdot3\cdot4=3^{n-1+1}\cdot4=4\cdot3^n[/tex]
[tex]\text{Used}\\\\a^n\cdot a^m=a^{n+m}[/tex]
The graph of the function f is shown. f(3) =
Answers
Answer: f(3) is 5.
Step-by-step explanation:
The value of the function f(3) is 5 from the given graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the value of f(3) from the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The value of f(3) is 5.
To find this we have to draw a perpendicular line at x=3.
Now let us check the corresponding point of y where the point and perpendicular line intersect.
Hence, the value of the function f(3) is 5 from the given graph.
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The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answers
Answer:
41.91 is your answer right answer
If f(x) = (3+x)/ (x-3),what is f(a+ 2)?
Answers
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)
chase travel 192 miles in 16 hours on his inline skates .What is his unit rate in milees per hour
Answers
a 1 mph
b 0.083
c 12 mph
d 24 mph
Answers
Explanation
Put the following rational numbers in order from least to greatest.
-8.2, 0.4, -2.5, 2.4
Answers
Answer:
-8.2,-2.5,.4,2.4
Step-by-step explanation:
start by negatives. negatives are lesser the higher they are. so -8.2 is less than -2.5. then positives are greater than negatives. .4 is less than 2.4. hope this helps
Please help with this slope problem!!
Answers
Hope this helps
Have a great day/night
Feel free to ask any questions
Which one is true pls answer
Answers
Answer:
C. All rectangles are quadrilaterals.
Step-by-step explanation:
Quadrilaterals are shapes that have 4 sides, so all rectangles are quadrilaterals, along with squares, rhombus' and other 4 sided shapes.
PLEASE HELP WITH THIS I WILL MARK YOU AS BRAINLIEST PLS AND TY
Answers
Answer:
it would be multiplying by 2 Soo 2•2= 4
and 4•2= 8. and 6•2 = 12. and 8•2=16 and 10•2=20
y=2x (y is # of valentines, x is # of pieces of paper)
then for the table u plug in so
2: y = 2x2 = 4
4: 8
6: 12
8: 16
10:20
for the graph it’s in the picture i put
Find the circumstances of a circle of the radius 15 CM
Answers
The whole bar weighs 60 grams. How much does 1/4
of the bar weigh?
Answers
Answer:
15 grams
Step-by-step explanation:
Answer:
1/4 of the bar is 15 grams
Question 3
Circle A has area of 500 in^2. The diameter of Circle B is three times the diameter of circle A. Estimate the area of circle B.
Answers
Answer:
750^2
Step-by-step explanation:
backtrack and find the diameter of circle A. A=πr, which means the diamater is about 159 1/11. three times the diameter will give 477 3/11, so the radius is 238 7/11. multiply it to 22/7 (π) then you get 750^2.
What is 4w^2? Plz answer!!!
Answers
A class of 37 students took a test worth 100 points. The five-number summary of their scores is 55, 67, 73, 81, 98. Identify the FALSE statement: Group of answer choices At least 25% of the students scored a 67 or below. At least 18 students scored below a 67. At least 9 students scored between 67 and 73. At least 25% of the students scored an 81 or above.
Answers
Answer:
At least 18 students scored below a 67.
Step-by-step explanation:
Given the 5 number summary of scores obtained by 37 students in a test worth 100 points :
55, 67, 73, 81, 98
Minimum = 55
Q1 = 67
Q2 = 73
Q3 = 81
Maximum = 98
Q1 = first quartile = 25%
Atleast 25 % scored below 67 (True)
25% of 37 students = 0.25 * 37 = 9.25
Atleast 9 students scored below 67 (True)
Median, Q2 = 50%
Score between Q2 and Q1 = 50% - 25% = 25% ;
Hence, atleast 25 students scored between 73 and 67 ; meaning (0.25 *37) = 9.25 students Hence. Atleast, 9 students scored between 73 and 67 (True)
Third quartile = 75%
Percentage above third quarterile = (100 - 75)% = 25%
Hence, atleast 25% scored above 81 (True)
The false statement is At least 18 students scored below a 67.
A classroom of students has their heights measured (in inches) for statistics investigation. The tallest student in the class is 71 inches tall. One student is assigned to record all the values. That student made a mistake when recording one of the values. When they meant to record the 71, they accidentally entered 711. What is the affect of this mistake on the median and IQR?
Answers
Answer:
This mistake has no effect on the median and IQR, since it will be an outlier.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
Median:
The 50th percentile is called median.
Interquartile Range:
Difference between the 75th and the 25th percentile.
In this question:
Tallest student measures 71 inches, but with a mistake, it was accidentaly entered 711.
However, since the mean and the median are related to the percentiles, in the middle of the distribution, they wont be affected by an outlier such as this.
A significance test is conducted for which the alternative hypothesis states that more than 85 percent of adult sea turtles on a certain beach are female. The p-value for the test is 0.4158. If the null hypothesis is true, which of the following statements is a correct interpretation of the p-value?
a. Of all possible samples of the same size, 41.58 percent will result in 85 percent of adult sea turtles on the beach being female.
b. Of all possible samples of the same size, 41.58 percent will result in 85 percent or more of adult sea turtles on the beach being female.
c. Of all possible samples of the same size, 41.58 percent will result in 85 percent or less of adult sea turtles on the beach being female.
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent or more of adult sea turtles on the beach being female.
e. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being female.
Answers
Answer:
d. Of all possible samples of the same size, 20.79 percent will result in 85 percent of adult sea turtles on the beach being females.
Step-by-step explanation:
Hypothesis testing is conducted to test an observation against the null hypothesis. P-value is calculated to determine whether to accept or reject the null hypothesis. In the given case the p-value is 0.4158 which means null hypothesis is true.
let x = -11/8 and y = -11/4 Which expression has a negative value? A. x + y B. x - y C. x . y D. x/y
Answers
-11/8 + (-11/4)
= -11/8 - 11/4
= -11/8 - 22/8
= -33/8