Mathematics High School

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

Which figure has rotational symmetry but no line symmetry?
A) Figure 1
B) Figure 2
C) Figure 3
D) Figure 4​

Answers

Answer:

In my opinion i would think A but it might be P also, sorry im not sure but thats my best guess.

Step-by-step explanation:

Figure 4 has rotational symmetry but no line symmetry.

Option D is correct.

Symmetry :

The rotational symmetry of a shape explains that when an object is rotated on its own axis, the shape of the object looks the same.

Some of the examples are square, circle, hexagon.A line of symmetry is a line that cuts a shape exactly in half. It means that if we fold the shape along the line, both halves would match exactly.

From given figure, It is observed that figure 4 has rotational symmetry but no line symmetry.

Learn more about the rotational symmetry here:

https://brainly.com/question/15178808

If a fair coin is tossed 3 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?
ANSWER IS 0.125

Answers

the answer is 0.125?

Marcus mows lawns for his summer job. He earns $15 per lawn. If he earned $75 dollars during the week, how many lawns did he mow? Pls answer the question.

Answers

the answer is going to be 5

What is the volume of the prism, to the nearest cubic inch?

Answers

the volume of the prism is 16

The probability of rolling a number cube and getting a 6 and 3.

Answers

We have to find out the probability of getting 6 and 3,

Since this only one roll it is not possible to get 2 numbers in one roll

So, I will presume you want the probability of getting 6 or 3,

Total number of outcomes= {1,2,3,4,5,6} = 6 outcomes

Number of favorable outcomes = {3,6} = 2 outcomes

Probability of rolling 6 or 3 = [tex]\frac{Number'of 'favorable' outcomes}{Total' number 'of' outcomes}[/tex]

= 2/6

= 1/3 or 0.33333%

Therefore the probability of rolling 6 or 3 is one in three chances

Happy to help :)

If u have any doubts or questions , feel free to ask

Which term best describes the graph
of y=-5x+1

A:increasing
B:decreasing
C: constant
D: positive

Answers

B thank me later hope you have a good day

Please help with range

Answers

Answer:

i think the one u have is right

Step-by-step explanation:

range is the smallest number to the largest, so the last one is right. hope this helps!

Use the order of operations to simplify
3^2 + 2^2

Answers

3^2=9 and 2^2= 4 and 9+4=13

How do I do this?

Write the equation of a cubic function with the following transformations.
1) Horizontal shift to the right 5 units
2) Vertical shift up 4 units
3) Vertical compression by a factor of ½

Answers

Answer:

1/2f(x-5)+4

Step-by-step explanation:

the base function x^3 then the transformations happen.

1) f(x) becomes f(x-5)

2)+4 is added to the end of the equation f(x-5)+4

3)add 1/2 to the beginning of f(x)    1/2f(x-5)+4

Input any cubic function for f(x)

Calculate the area of the triangle.
State the units of your answer.
6 cm
6 cm​

Answers

Answer:

18 cm

Step-by-step explanation:

I hope i'm correct..

So first the formula of finding the area of a triangle is

A= 1/2 (b) (h)

If we turn the triangle we can do that.

so,

A=1/2 (6)(6)

A=1/2(36)

1/2 of 36 is 18

So, the answer is 18 cm

Answer:

18 Cm

Step-by-step explanation:

[tex]A = \frac{ab}{2}[/tex]

Area = 6 times 6 over 2

NEED HELP ASAP PLEASE AND THANK YOU!!!

Answers

Step-by-step explanation:

10²+11²

=100+121

=221

=√221

=14.87

help guys
D, E, F, G and H are points on the circumference of the circle G1=x+20 and H=2x+10. DE||FG
a) determine the size of DEG in terms of x
b) calculate the size of DHG​

Answers

Step-by-step explanation:

A. DEG =x+20 (alt angles DellFg)

B. DHG =110 (opp angles of cyclic quad)

X+20+2x+10=180(remember to solve for x)

Solve for X in the Diagram.
Brainliest for the first Correct answer :)
(Sorry for all the questions)

Answers

60 + 80 + 48 + x = 180
188 + x = 180
x = -8
the answer is A

Determine whether y=9(−5)x represents an exponential function.

Answers

It is. Exponential functions are written in the format y=akx. This equation satisfies that.

The figure shows the measurements, in inches, of a rectangular prism. A rectangular prism has a height of 8 inches, length of 7 inches and a width of 7 inches. What is the volume of the prism? A. 92 cubic inches B. 236 cubic inches C. 472 cubic inches D. 672 cubic inches

Answers

I think that it is B

Answer:D 672

Step-by-step explanation: (12 x 8)x 7=672

What is the quotient of 4,510 - 22 ?

Answers

Answer:

The answer is 99,220!!

Step-by-step explanation:

Did you mean to type quotient?

The area of a gymnasium is (27x + 18) square units. Factor
27x + 18 to find possible dimensions of the gymnasium.

Answers

Answer:

9 by (3x + 2) units

Step-by-step explanation:

Note that 9 is a factor of both 27x and 18.  Therefore,

27x + 18 factors into 9(3x + 2).

Possible dimensions of the gym are 9 by (3x + 2) units.

Find the GCF of 5y5 and 50y2.

Answers

Answer: [tex]5y^2[/tex]

Step-by-step explanation:

Given

[tex]5y^5\ \text{and}\ 50y^2[/tex]

GCF or HCF of the two is the highest common factor

[tex]\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10[/tex]

It is clear GCF is [tex]5y^2[/tex]

⚠️Attention ⚠️HELPPPPPP!!!!!

Answers

Answer:

it would be B.

Step-by-step explanation:

through: (9,-5), Slope=3/4 what is the slope equation?​

Answers

9=3/4x+-5 is the answer I believe

Arc AD=98 and I need help with both problems below

Answers

Answer:

arc DC = 64

angle DCQ = 32

Step-by-step explanation:

Hello There!

The circumference of a normal circle is 360

Given that arc AD = 98 and having found arc ABC we can find arc DC by subtract the known arcs from 360

360 - 98 - 198 = 64

Hence arc DC = 64

The problem wants us to find angle DCQ having found arc DC

Remember like stated before an included angle is equal to 1/2 its opposite arc

64/2=32

so angle DCQ = 32

PLEASE HELP URGENT WILL GIVE BRAINLIEST!! What is the following sum? Assume x > 0 and y > 0 sqrt x^2y^2+2 sqrt x^3y^4+xy sqrt y

Answers

Answer:

Second Option

Step-by-step explanation:

properties of parallelograms worksheet answers milliken publishing company mp3497 page 24

Answers

Answer:

what?

Step-by-step explanation:

Answer: you need to show the worksheet so we can help

Step-by-step explanation:

24=×+7 ayudenme por favor :) ​

Answers

Answer:

24 -7 = x+7-7

17 = x

x = 17

so the solution set of

x is x = 17

Relative frequencies are calculated as ___________.
Total
Ranges
Medians
Percentages

Answers

Answer:

I believe the answer is D: Percentages

Step-by-step explanation:

I believe this is the answer because relative frequency is also titled as another approach to probability that is described in either proportions or percentages.

q⋅(a+y)=67y+93
what is the answer?

Answers

Check below for what’s a and what’s y

can someone please help me with this ​

Answers

Step-by-step explanation:

Diameter = 2r

= 7.7 = 2r

7.7/2 = r

3.85=r

decrease
133 in the ratio 7:2​

Answers

Answer:

38

Step-by-step explanation

2/7× 133=38

Find the perimeter of the rectangle

Answers

Answer:

86 inches

Step-by-step explanation:

16+16+27+27=

Answer:

the perimeter equals 86 ft

Step-by-step explanation:

perimeter = l + w + l + w or 2(l + w)

2(27 + 16)

27 + 16 = 43

43 * 2 = 86

Which is the simplified form of the expression​ below. Please help

Answers

4/(x^14 y^8) To see steps needed, see the picture below.
Other Questions
Starting on bare rock what is the usual ecological succession of organisms What is 0.06 x 0.4 = This picture of gas stations BEST illustrates which aspect of a market economy?AcreditBcompetitioninterest ratesDopportunity cost what is a plot event HElppppp what is the history of fairy tales? plz I need this asap. 18 points!!Which sentence is in the present tense?OWill they be singing the anthem live or lip-synching?OThe excited crowd didn't know all the words but sang along anyway.O I sing in the shower every morning.OShe sang while she hiked and hoped it would scare the bears away. Specialization changed the economies of the North and South after the Civil War. Choose ALL statements that describe howspecific inventions or systems helped specialization.ATransportation options began to expand with trains, boats, and bicycles.B)Assembly lines in factories helped individual workers specialize in tasks.Plantations in the South could quickly process cotton with the cotton gin.D)Horses had many jobs, as they were used for transportation, farming, andracingThe flying shuttle loom helped textile factories quickly make largeamounts of yarnE -12(5/6a-7/8)+1/14(3 1/2a-1 2/5) Even though the female only produces eggs with half the number of chromosomes, during parthenogenesis. how is she able to produce an offspring (zygote) with the full number of chromosomes? A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner Please please help me What is 1,872,521 rounded to the nearest thousand? I NEED THIS ASAP I'LL GIVE BRAINLIESTMarina simplified the expression 4x + 5(4x b) (x 2) to be 17x 8.What was the value of b?A. -6B. -2C. 2D. 10 write a diary entry of the changes that you have noticed in your best friend today Help asapppppppppppppppp If a corporation goes out of business, the companys stock __________. A. no longer has any value B. is redeemable for its original value C. can be transferred to another company D. gains in value since company assets are liquidated If you can answer BOTH CORRECTLY you'll get brainliest which two stars remain in the straight line of the polaris? Based on your knowledge of roots and affixes, which is the most likelydefinition for the word zoology?O A. The study of animalsB. A place where animals are keptO C. A school for animalsD. The study of plants math come help plese