If triangle PQR is similar to SQT, find the value of
PQ.
X-9
S
T
8
Y +5
P
R
21
X = 15
PQ = 26

If Triangle PQR Is Similar To SQT, Find The Value OfPQ.X-9ST8Y +5PR21X = 15PQ = 26

Answers

Answer 1

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

[tex]\frac{x-9}{x-9+x+5} = \frac{8}{21}[/tex]

[tex]\frac{x - 9}{2x - 4} = \frac{8}{21}[/tex]

[tex]21x - 189 = 16x - 32\\5x = 157\\x = 31.4[/tex]

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

Answer 2

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26


Related Questions

Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?

Answers

Step-by-step explanation:

48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.

Divide 48 by 300 to get what she would pick in one second.

This equals 0.16

Multiply 0.16 by 120 seconds [how many seconds are in two minutes].

This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.

A car museum wants to increase its collection by 20%. Currently the museum has 120 cars in its collection. How many cars would the museum need to add over the next year to meet its goal?

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Answer:

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Step-by-step explanation:

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Part D: x= -b/2a

(-1/3, -4/3)

im sorry if this is wrong ;'(

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Step-by-step explanation:

D will go with each funcuation.

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Answer:

the right answer is A :)

Plz show your work.

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Answer:

look at the picture i sent.......

Someone plz help me giving brainliest!

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Answer:

the estimate is : 39 7/32

the answer is :   46  9/35

There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?

Answers

Answer:

Step-by-step explanation:

P(g=1) is equal to

1-P(g=0)-P(g=2)

P(g=0)=(7/12)(6/11)

P(g=2)=(5/12)(4/11) so

P(g=1)=1-(42/132)-(20/132)

P(g=1)=(132-42-20)/132

P(g=1)=70/132

P(g=1)=35/66

Can someone help me quick. I really need help!! I’ll mark brainliest!! Please & thank youuu!

Answers

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Find the value of x so that the ratios 8: x and 12: 18 are equivalent.

Answers

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps

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Answers

Answer:

f = 2 1/4c

Step-by-step explanation:

Number of cups of flour is proportional to the number of cakes

Number of cups of flour = f

Number of cakes = c

Therefore,

f = k * c

Where,

k = constant of proportionality

Number of cups of flour = 22 1/2 cups

Number of cakes = 10 cakes

f = k * c

22 1/2 = k * 10

45/2 = 10k

k = 45/2 ÷ 10

= 45/2 × 1/10

= (45*1) / (2*10)

= 45/20

= 2 5/20

k = 2 1/4

The equation is

f = k * c

f = 2 1/4 * c

f = 2 1/4c

A trailer is 160 inches. A driveway is 60% longer than the car. How long is the driveway?!?

Answers

Answer:

266.666667

Step-by-step explanation:

The solution to which system of equations has an x-value of 3?
(A) x + 2y =-1; y=3x + 3
(B) 3x – Y= 2; x + 2y=-1
(C) y= 3x + 3; 230 + 3y=0
(D) 2x + 3y=0; x + 2y=-1

Answers

Answer:

D)

Step-by-step explanation:

True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false, give a counterexample to illustrate.​

Answers

Answer:

No false

Step-by-step explanation:

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(50pts) The distance covered and the time taken by a car are plotted in a graph.


a. Find the slope of the line in the graph.
b. Calculate the distance traveled by the car at the 20th second.
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Answers

Answer:

a=2

b=40m

c=2m/s

Step-by-step explanation:

slope is rise over run so 10/5 simplified is 2/1 or 2

for b just look at the graph at the 20th second

for c you do distance over time so basically the same thing as a 10/5 which is 2m/s

Find the measure of each numbered angle on this Triangle.

Answers

Answer:

m<1 = 69

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m<3 = 106

m<4 = 21

Step-by-step explanation:

PLEASE I NEED HELP!!!
If technology improves, what would happen to the PPC?

Answers

Answer:

For the economy as a whole, an improvement in technology shifts the production possibilities frontier outward. Production Possibility Frontier (PPF): An increase in technology that allows for greater output based upon the same inputs can be described as an outward shift of the PPF, as demonstrated in this figure.

Xian plans to run 14 laps around a track, each lap is 400 yards which would make his run a total of 5600 yards. So far Xian has run 1,680 yards around the track. What percentage of the run has Xian completed?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

0 and 4

Step-by-step explanation:

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We find the zeros by setting this factored form equal to zero and solving for x:

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Answers

180-135=45

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Please Help. Due Soon!

Answers

Answer:

yes

Step-by-step explanation:

They are correct because the reciprocal ( flipped or opposite) of -2/5 is 5/-2

Plz help me Find the indicated information

Answers

That is a virus do not go to it

A software company has found that on Mondays, the polynomial function C(t) = −0.0625t4 + t3 − 6t2 + 16t approximates the number of callers to its hotline at any one time. Here, t represents the time, in hours, since the hotline opened at 8:00 A.M. How many service technicians should be on duty on Mondays at noon if the company doesn't want any callers to the hotline waiting to be helped by a technician?

Answers

Answer:

At least 16 service technicians

Step-by-step explanation:

Given

[tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

Required

Number of service technician to be online at 12 noon

First, we calculate the value of t

[tex]t = 12\ Noon - 8:00AM[/tex]

[tex]t = 4[/tex]

Substitute [tex]t = 4[/tex] in [tex]C(t) = -0.0625t^4 + t^3 - 6t^2 + 16t[/tex]

[tex]C(4) = -0.0625 * 4^4 + 4^3 - 6 * 4^2 + 16 * 4[/tex]

[tex]C(4) = 16[/tex]

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Answers

Answer:

D

Step-by-step explanation:

180-43=137

Answer:

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Step-by-step explanation:

4=2/9x A) 6 B) 9 C) 15 D) 18

Answers

Answer:

D. 18

Step-by-step explanation:

multiply both sides by 9/2, the reciprocal of 2/9.

4×(9/2)=x

express 4×(9/2) as a single fraction.

4×9/2=x

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36/2=x

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swap sides so that all variable terms are on the left hand side.

x=18

Answer:

D 18

Step-by-step explanation:

you devide 4 by 2/9 and get your answer

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Answers

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Answers

Answer:

angleQ+angleR is 180degrees because of the properties of isoceles trapezoid. So, if you set equation and solve, you'll get the fact that x is 12, and angleR is 130degrees, and angleQ is 50degrees. According to the properties of isoceles trapezoid, angleQ is the same as angleT. So, angleT is 50degrees

Answer:

Step-by-step explanation:

An expression is written in the box.
x²+x-4
What is the value of this expression when x = -6?
0 -46
0 -35
O 26
38

Answers

Answer:

the solution to that is 26.

Answer:

26

Step-by-step explanation:

Substitute x = - 6 into the expression

x² + x - 4

= (- 6)² + (- 6) - 4

= 36 - 6 - 4

= 30 - 4

= 26

PLEASE HELP I WILL GIVE BRAINLIEST ​

Answers

Answer:

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

Step-by-step explanation:

step 1: I am going to convert the measurements

into decimals

8/5=1.6

2/5=.4

step 2: I will use cross multiplication to find out how much pumpkin for one pound of flour

1.6=.4

 1=?

1*.4=.4/1.6=.25

step 3:  I will convert .25 into a fraction

.25=1/4

for every 1/4 pound pumpkin, I will use 1 pound of flour

which is why

If using one pound of pumpkin the baker needs to use 4 pounds of flour mixture

HELP ME PLEASE I BEG YOU AND I WILL VOTE YOU BRAINLIEST IF YOU REALLY HELP!!!!

Answers

The answer to your question is (A, -3,-5)

Answer:

The correct answer is A(-3,-5)

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