In the figure, PQ is parallel to RS. The length of RP is 5 cm; the length of PT is 30 cm; the length of QT is 60 cm. what is the length of SQ?
A. 10 cm
B. 2 cm
C. 6 cm
D. 20 cm
thank you!
Answers
Answer:
10 cm
Step-by-step explanation:
because RT = 35 and RS = 75 so ST = 70
The length of SQ is 10 cm.
Option A is the correct answer.
We have,
Two similar triangles.
ΔTPQ and ΔTRS
So,
TR/TP = TS/TQ
TR = (TP +PR)
TS = (TQ + QS)
Substituting.
TR/TP = TS/TQ
(TP + PR)/TP = (TQ + QS)/TQ
(30 + 5) / 30 = (60 + QS) / 60
35/30 = (60 + QS) / 60
7/6 = (60 + QS) / 60
7 = (60 + QS) / 10
70 = 60 + QS
QS = 70 - 60
QS = 10
Thus,
The length of SQ is 10.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
Related Questions
A finance magazine did a survey and found that the average American family spends $1,600 on a summer vacation. If the distribution is normal with standard deviation $411, find the amount a family would have spent to be the 80th percentile. PreviousNext
Answers
Answer:
$1945Step-by-step explanation:
Let X be the normal distribution
Kindly find attached a detailed annotation of the solution to the problem.
in the attached document, we found the value that corresponds to 80th percentile, hence we found the value such that the probability that the variable x is lower than this value is 0.8.
Also, from the calculation, we found that the value which corresponds to the 80th percentile is $1945
0.00125mi squared=?ft squared
Answers
Answer:
6.6
Step-by-step explanation:
Multiply the length value by 5280
(6×10^2) ÷ (3×10^-3)
Answers
Answer:
2*10²
Reduce the expression, if possible, by cancelling the common factors.
Scientific Notation:
Hi!
Lets go through this together.
Using the operation, PEMDAS, we start from left, then go to right.
since there are two pairs of parenthesis, we start with the one on the left.
(6x10^2)
so now, we do the exponent, 10^2
10x10= 100
So our answer for this part is 100.
Now we have (6x100)
6x100=600
So now, the equation is 600÷(3x10^-3)
Now, we do the parenthesis on the right.
(3x10^-3)
First, we do the exponent, 10^-3
10x-10x-10= 1,000
so now, the equation is (3x1,000)
Now, we multiply.
3x1,000=3,000
So now, the equation is 600 ÷ 3,000
600 ÷ 3,000 = 0.2
So, your answer is 0.2.
__________________________________________________________
(6 x 10^2) ÷ (3 x 10^-3)
=(6 x 100) ÷ (3 x 10^-3)
= 600 ÷ (3 x 10^-3)
= 600 ÷ (3 x 1,000)
= 600 ÷ 3,000
= 0.2
(also, the scientific notation is 2x10^2)
__________________________________________________________
Hope this helps!
Let me know if you need anymore help!
Yours truly,
~~~PicklePoppers~~~If f(x) = -x +6 and the domain of f is { 3, 7 , 11}, what is the range of f(x)?
Answers
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
Step-by-step explanation:
hope it helps
Answer:
B
Step-by-step explanation:
what is 1000+194728573857275939868385937583957389583898389583958398395
Answers
Answer:
there is no way that is an actual question
Step-by-step explanation:
194728573857275939868385937583957389583898389583958399395
QS bisects ∠PQR. If m∠PQS = (5x)⁰ and m∠RQS = (2x + 6)⁰, then what is m∠PQR? Draw a picture and label before solving. *
Answers
Answer:
m∠PQR = (7x + 6)⁰
Step-by-step explanation:
Please find the diagram in the attachment.
Mathematically, since the angle PQR is bisected by the given line, it means that;
RQS + PQS = PQR
Thus;
PQR = (2x + 6) + 5x
PQR = 2x + 6 + 5x
PQR = 7x + 6
m∠PQR = (7x + 6)⁰
LAST QUESTION TO MY TEST I DONT WANNA FLUNK HELP ME
Find the slope given these points:
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-5/3
5
5/3
Answers
Answer:
the answer to the question is -5/3
pleasee helpp. Find all missing angles.
Answers
Answer:
1-51
2-18
3-123
4-39
Step-by-step explanation:
Pls help me fast! Thank you! 10 points
Answers
Susan is training for a marathon. In the marathon the distance required to run is 5.2 miles. Susan is currently running 4.8 miles in 22 minutes. She does not want her total run time to exceed 22 minutes. How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?
Answers
Answer:
0.4miles.
Step-by-step explanation:
The total distance to run for the marathon = 5.2 miles
Susan is currently running 4.8 miles in 22 minutes.
How much further does she need to run in the 22 minutes to complete the marathon and reach her goal?
= 5.2 - 4.8
= 0.4 miles.
What is the midpoint between -5,-4 and -3,3?
Answers
Answer:
(-4,-0.5)
Step-by-step explanation:
midpoint = ((x1+x2)/2, (y1+y2)/2)
= ((-5+-3)/2, (-4+3)/2)
= (-8/2, -1/2)
= (-4,-0.5)
10x+8= 5x -4
Pleaseeee help
Answers
Step-by-step explanation:
Here's the answer I hope it will help u
What is the sum of this expression?
2 1/16 + 7 3/8
A. 9 1/4
B. 9 7/16
C. 9 3/4
D. 9 7/8
Answers
Answer: [tex]9\frac{13}{24}[/tex]
Step-by-step explanation:
Add 2 and 7.
9
Add 1/16 and 3/8 = 13/24
9 13/24 is the answer.
Answer:
b. 9 7/16
Step-by-step explanation:
2 1/16 + 7 3/8
= 33/16 + 59/8
= 33/16 + 118/16
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= 9 7/16
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Answers
Answer:
17.85
Step-by-step explanation:
just times 5.95 by 3
A parking lot is 20 feet long. One tortoise starts at the edge of the parking lot and moves at a rate of 6 feet per minute. Another tortoise starts 4 feet from the edge of the parking lot and moves 2 feet per minute. Write an equation to represent when they will be in the same spot.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Length of parking lot = 20 feets
Speed of tortoise which starts at the edge = 6 feets per minute
Speed of tortoise which starts 4 feets from the edge = 2 feets per minute
Equation to represent when they will be in the same spot.
Distance = speed * time
Distance of Tortoise at edge = 6ft/min * t = 6t - - (1)
Distance of the other tortoise = (4 + 2t) - - - (2)
Equating both (1) and (2)
6t = 4 + 2t
6t - 2t = 4
4t = 4
t = 4/4
t = 1
Hence, they'll be at the same spot after 1 minute.
2. Find the value of x for which l | | m.
Answers
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Answers
Answer:
15.43
Step-by-step explanation:
71.04% off 53.28 is 15.43
The difference is 37.85 ,hope i helped
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Answers
Answer:
y=9
Step-by-step explanation:
Plugin what we know
[tex]\frac{y}{12} =\frac{3}{4}[/tex]
Simplify the equation by using cross-multiplication
4y=36
Divide both sides of the equation by 4
y=9
If this helped, please rank me brainliest! :)
Answer:
Y would be 9
Step-by-step explanation:
If the x is 12 and it shows the simplified version take the 4 and multiply it by how much you would need which is 3 so you go to the 3 above 4 and multiply it by 3 and you will get 9/12
Sorry if its a bit hard to understand but hope this helps!
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Answers
Answer:
[tex]r=\sqrt[3]{\frac{3v}{\pi h} }[/tex]
Step-by-step explanation:
The equation is v=1/3πr³h
Multiply both sides of equation by 3 to get
3v=πr³h
Divide both sides of the equation by πh to get
3v/πh = r³
Apply cube root on both sides of the equation as;
[tex]\sqrt[3]{\frac{3v}{pih} } =r[/tex]
11) -14 - 8x = -2(-3x + 7)
Needing some help with this
Answers
Answer:
x = 0
Step-by-step explanation:
First, distribute the -2 to the parentheses:
-14 - 8x = -2(-3x + 7)
-14 - 8x = 6x - 14
Add 14 to both sides:
-8x = 6x
Subtract 6x from both sides:
-14x = 0
Divide each side by -14:
x = 0
So, x = 0
Answer:
0
Step-by-step explanation:
-14-8x=6x-14(cancel equal terms)
-8x=6x(move the variable to the left)
-8x-6x=0(collect like terms)
-14x=0Divide both sides)
x=0
An athlete is jumping. However, every time she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot. On her second jump, she goes 1/4 of a foot, and so on and so forth. How many jumps does it take for her to travel 1 foot?Immersive Reader
Answers
Answer:
She will never complete 1 foot
Steps:
1) We will find the maximum value of this process, when this is carried out infinite times.
This process goes like a Infinite GP, whose
First term,a = 1/2ft.
Common Ratio, r = 1/2ft.
Maximum value of this process is One Foot when the athlete jumps forever or Practically, she will never complete her 1 foot.
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Starting from 1/2 ft. ,and ending at 1 foot.
The value always tends toward 1 but never reaches one.
What does the slope of the graph represent?
Answers
Jenise throws a ball 75 times and hits the target 41 times. What is the experimental probability that she will hit the target? State your answer as a percent.
Answers
Answer:
Step-by-step explanation:
Probability is the ratio of the required outcome to the total possible outcome
Total outcome = 75
Number of times target was hit (expected outcome) = 41
Pr(she will hit target)= 41/75
Next is to state in percent and u do that by multiplying the resulting fraction by 100
41/75 i n percent.
41/75×100
= 4100/75
= 54.67%
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Answers
Answer:
Step-by-step explanation:...
Find AC,AB=9x+1 BC=6x+25
Answers
Answer:
do u have a pic
Step-by-step explanation:
i need more info
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Answers
Answer:
4
Step-by-step explanation:
y=-2
-2*-2
4 (2 negatives is a positive)
Answer:
y ^ 2 = 4
Step-by-step explanation:
y ^ 2
= -2 ^ 2
= 4 (since - * - = +)
The _______ name of a number is how it sounds when we say its name the long way.
Answers
Answer:
Word. The word name
Step-by-step explanation:
I hope this helps you :)
What is the formula for finding slope?
Answers
Answer:
To find the slope of two given points, you can use the point-slope formula of (y2 - y1) / (x2 - x1). With the points plugged in, the formula looks like (3 - 2) / (4 - 1). Simplify the formula to get a slope of ⅓.
Step-by-step explanation:
HOPE THIS HELPED ✨
what expression is equal to 6x-8/4
Answers
Answer:
12x-6x-2
Step-by-step explanation:
8/4=2
12-6=6
6x-2
What does x equal? 2/7(x+4)=−6
Answers
Answer:
[tex]\boxed{x=-25}[/tex]
Step-by-step explanation:
[tex]\frac{2}{7} (x+4)=-6[/tex]
→ Multiply everything by 7 to get rid of the fraction
[tex]2(x+4)=-42[/tex]
→ Expand the bracket
[tex]2x+8=-42[/tex]
→ Minus 8 from both sides to isolate 2x
[tex]2x=-50[/tex]
→ Divide both sides by 2 to isolate x
[tex]x=-25[/tex]