The statements that are true based on the midpoint given in the question include:
m∠P + m∠Q + m∠R = 180°PT, QU, and RS intersect at the same point.What is midpoint?In geometry, the midpoint simply means the middle point of a line segment. The midpoint is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.
Also, it should be noted that the midpoint bisects the segment.
In this case, m∠P + m∠Q + m∠R = 180°. This is because the sum of the angles in a triangle will be equal to 180°. Also, PT, QU, and RS intersect at the same point.
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Complete question:
Label the midpoint of PQ as point S, the midpoint of QR as point T, and the midpoint of RP as point U.
Next, draw PT, QU, and RS.
Which statements are true?
m∠Q = m∠R
The length of QU is half the length of RP.
m∠P + m∠Q + m∠R = 180°
QU ≅ RS
PT, QU, and RS intersect at the same point.
The sum of the lengths of QU and RS is equal to the length of PT.
Darwin's best time for running 5000 metres is 16 minutes. He wants to run it in 15 minutes and 30 seconds.
What percentage reduction in time is this?
Please include explanation!
Answer:
3 percent
Step-by-step explanation:
convert to seconds
960 seconds to 930 seconds
30 seconds ÷ 960=3 per cent
The percentage reduction in time is required.
The percentage reduction is [tex]3.125\%[/tex]
The initial value of time = 16 minutes
Final value of time = 15 minutes and 30 seconds = 15.5 minutes
Percentage reduction is given by
[tex]\dfrac{\text{Old value}-\text{New value}}{\text{Old value}}\times 100\\ =\dfrac{16-15.5}{16}\times100=3.125\%[/tex]
The percentage reduction is [tex]3.125\%[/tex]
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For what value of q is the equation -13(q+4)=7q+16 true?
Please help! Thanks!
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
how do i solve 2.5a+12=5a
Answer:
a
=
4.8
Step-by-step explanation:
there
220 divided by 393,718? Math
Which of the following sets of sides does not form a right triangle?
6.8.10
8.15, 17
7.24.26
5, 12, 13?
Answer:
7, 24, 26
Step-by-step explanation:
6 squared is 36 and 8 squared is 64. Add them together and you get 100, which is 10 squared. Do the same for the other ones and you'll notice that 7 squared and 24 squared added together is 625, which is not 26 squared. In my head 25 squared is 625(check if you don't believe me) so I know that the answer is the third one. The basic formula for a right triangle is a^2 + b^2 = c^2, and that's how you find if three numbers form a right triangle or not. Hope this helps :)
At a car dealership, salespeople earn a 5% commission on the first $10,000 of every sale, plus a 3% commission on any amount over $10,000. A salesperson sold a car for $12,300. What was the total commission on the sale? help me due today
Answer:
The total comission on the sale was $375.
Step-by-step explanation:
Since the salesperson sold the car for $12,300, the total comission on the sale would be equal to the 5% of $10,000 plus the 3% of the remaining amount which would be:
Total comission=(10,000*5%)+(12,500-10000)*(3%)
Total comission=500+(2,500*3%)
Total comission=300+75
Total comission=375
According to this, the answer is that the total comission on the sale was $375.
What is the answer to number 3 I don't get it
Answer:
First is 144
Second is 16
Third is 9
Step-by-step explanation:
1/3(9x + 12) = 15
a. x=5
b. x=3.67
c. x=2.8
d. x=4.5
Answer:
b
Step-by-step explanation:
x=11/3 or 3.6667 which is b
Answer:
Answer might be b
Step-by-step explanation:
9x+12
-----—---- = 15
3
9x+12 = 15 *3
9x +12 = 45
9x=45-12
9x =33
x = 33
---
9
x = 3.6
Not sure what I did is correct so pls check
Find the missing leg?
Answer:
11
Step-by-step explanation:
13×13 = 169
17 × 17 = 289
289 - 169 = 120
Square root of 120 is 10.95
Round answer to 11
HELPPPPPP PLEASEEEEE BRAINLIEST IF CORRECT!!!
Answer:
1<7
Step-by-step explanation:
Hey there!
1.) adjacent
2.) vertical
3.) corresponding
4.) none of these
5.) 1 and 7, 3 and 5, 2 and 8, 4 and 6
6.) 2 and 7, 6 and 3
Have a terrifcly amazing day!
Okay what’s the answer to this one plz
Answer:
what the FLIP
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3x + 8 = 5x ( Inscribed angles on same arc are equal) 5x - 3x = 82x = 8x = 8 / 2x = 4Hope it will help :)
Solving quadratics equations by square root method
Answer:
Step-by-step explanation:
Here is an example:
[tex]3x^{2} +7=55[/tex]
-7 on both sides of the equation
[tex]3x^{2} =48[/tex]
divide by 3 on both sides
[tex]x^{2} =16[/tex]
square root the [tex]x^{2}[/tex] and 16
x=±4
[tex]4 \times 8 ^{2x + 1?} = 32 ^{x + 2} [/tex]
Answer:
x = 5
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
[tex]a^x \times a^y = a^{x+y}[/tex]In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : [tex]a^x = a^y[/tex] ⇒ [tex]x = y[/tex] [∵ Bases are equal on both the sides]__________________________________________________________
[tex]4 \times 8^{2x+1} = 32^{x+2}[/tex]
Lets express it in terms of 2.
[tex]=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}[/tex]
[tex]=> 2^2 \times 2^{6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{2 + 6x+3} = 2^{5x+10}[/tex]
[tex]=> 2^{6x+5} = 2^{5x+10}[/tex]
Here the bases on both the sides are equal. Hence ,
[tex]=> 6x + 5 = 5x + 10[/tex]
[tex]=> 6x - 5x = 10 - 5[/tex]
[tex]=> x = 5[/tex]
-2x + 6 + 4x = -12
Solve for x
Answer:
x = -9
Step-by-step explanation:
-2x + 6 + 4x = -12
-2x + 4x = -12 - 6
2x = -18 -----Divide -18 by 2
x = -9
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet?
Answer:
152
Step-by-step explanation:
the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160
the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216
the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152
Step-by-step explanation:
I HOPE MY ANSWER HELPS U;)Solve the system of equations using subtraction.
3x - 2y = 5
3x + y = 11
the table below shows the heights of several books. Jean stacks a dictionary on top of her novel. How high is the stack of the two books?
A:between 5 and 5 1/2 inches
B:between 5 1/2 and 6 inches
C:between 4 1/2 and 5 inches
GIVING BRAINLIEST IF CORRECT PLSS HEP QUICKK!!!!!
Answer:
Between 5 and 5 1/2 inches
Step-by-step explanation:
Find the quotient
1. 22−9−2 ÷−5=
2. 3+ 27 ÷ +3=
please help me guys!
its blur
how can we read it if your picture is blur
In a study of all 3813 students at a college, it is found that 45% own a vehicle. Is this a statistic or parameter?
Answer:
statistic
Step-by-step explanation:
Find the area of the figure. PLEASE HELP
Answer:
23.49 in.
Step-by-step explanation:
Formula for area of triangle: 1/2 * b * h
1/2 * 16.2 = 8.1
8.1 * 2.9 =23.49 in.
Choose the student who correctly wrote the algebraic expression for the following statement.
Martha made six times as many goals.
Answer:
hector
Step-by-step explanation:
Aida is adding
hector is multiplying
camila is dividing
juan is subtracting
6x=6timesx=6(x)
so hector is right
Answer:
Hector's work
Step-by-step explanation:
"Six times as many" means 6 x the number of goal!
Hope that helps!
(urgent please help me with this. Will give brainliest)
[tex] \frac{x + 1}{2} = \frac{x - 1}{1} + \frac{5}{x} [/tex]
Find the number of terms and the degree of this polynomial.
Answer:
Number of terms = 3
Degree = 6
Step-by-step explanation:
A polynomial is a mathematical expression that gives the detailed combination of variables with their coefficients, their positive exponential, and other variables using the operations of subtraction, addition, and multiplication
The number of terms in a polynomial is the number of different powers of added or subtracted in the expression
Therefore, the number of terms in the expression -3·s⁶ + 2·s⁴ + 3·s³ is 3 terms
Number of terms = 3
The degree of a polynomial is given by the highest power of the variables in the polynomial. Therefore, the degree of the given polynomial is 6
Degree = 6
Your teacher is giving a test that has 5 more four-point questions than six-point questions.
The test is worth 120 points. Which system represents this information?
Answer:
x-y=5
4x+6y=120
Step-by-step explanation:
let x = # of 4-point questions
ley y = # of 6-point questions
# of 4-point questions is 5 more than # of 6-point questions
x=y+5 or x-y=5
now there's the matter of the points. Since each x is worth 4 points and each y is worth 6 points, they total number of points have to add up to 120, therefore:
4x+6y=120
The System of Equation is
x-y=5
4x+6y=120
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let x be number of 4-point questions.
ley y be number of 6-point questions.
as, the 4-point questions is 5 more than 6-point questions
So, x=y+5
or x-y=5.................(1)
Since each x is worth 4 points and each y is worth 6 points, they total number of points is 120.
So, 4x+6y=120....................(2)
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can someone please help i promise i’ll mark brainliest!!
Answer: I’m so sorry I don’t understand it but you should try Photomath it’s a app that helps with math and gives answers to math problems. Another good app is Socratic it looks for answers for any subject.
Step-by-step explanation:
Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
X
0
4
8
10
>
0
0.5
1
1 25
X
-
5
10 12.5
y
0
4
8
10
0
4
8
*
10
0.8 0.8 0.8 0.8
X
0
5
10 125
y
0810 820 8.25 8
Please hurry I’m going to get my phone taking away if I don’t finish my work
Answer:
second table
Step-by-step explanation:
For a proportional relationship, the constant of proportionality k is
k = [tex]\frac{y}{x}[/tex]
Choose an ordered pair from each table and evaluate for k
Table 1
using (8, 1 ), then
k = [tex]\frac{1}{8}[/tex] = 0.125 ≠ 0.8
Table 2
using (10, 8 ), then
k = [tex]\frac{8}{10}[/tex] = 0.8
Table 3
using (8, 0.8 ), then
k = [tex]\frac{0.8}{8}[/tex] = 0.1 ≠ 0.8
Table 4
using (10, 20.8 ), then
k = [tex]\frac{20.8}{10}[/tex] = 2.08 ≠ 0.8
Table 2 has a constant of proportionality k = 0.8
Find the solution of y = 4x + 2 for x = -5.
A.
(-5, -18)
B.
(-5, 22)
C.
(-18, -5)
Answer: THE ANSWER WOULD BE A. (-5, -18)
Notice how y=4x%2B2 is in slope-intercept form y=mx%2Bb where m is the slope and b is the y-intercept.
So this shows us that the slope is m=4 and the y-intercept is b=2 which is the point (0,2)
You can always plot an equation like this to find intercepts
and slope. Each point requires an x and a y. My
way is to make x+=+0 and find y,
then I make y+=+0 and find x
y+=+4x+%2B+2
y+=+4%2A0+%2B+2 solve for y
y+=+2
the point is (0,2)
then,
0+=+4x+%2B+2 solve for x
subtract 2 from both sides
4x+=+-2
x+=+-%281%2F2%29
the point is (-%281%2F2%29,0)
Once you have any two points, you can draw the line by connecting them
When the equation is in the form
y+=+mx+%2B+b
m = slope
b = y-intercept
So, your equation y+=+4x+%2B+2
m+=+4 (slope)
b+=+2 (y-intercept)
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (
−
5
,
−
18
)
Equation Form: x
=
−
5
,
y
=
−
18
HELP REEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Rounding
Step-by-step explanation:
Answer:
Round
Step-by-step explanation:
solve -1/8y ≤ 34. then graph the solution.
Answer:
Multiply each term in −1/8y≤34 by −8. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
−1/8y x −8 ≥ 34 x −8 Simplify −1/8y x −8
y ≥ 34 x −8
Multiply 34 by −8.
y≥−272
Step-by-step explanation: