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OleMash [197]
3 years ago
11

If triangle PQR is similar to SQT, find the value of

Mathematics
2 answers:
ankoles [38]3 years ago
5 0

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:

\frac{x-9}{x-9+x+5}  = \frac{8}{21}

\frac{x - 9}{2x - 4} = \frac{8}{21}

21x - 189 = 16x - 32\\5x = 157\\x = 31.4

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

exis [7]3 years ago
4 0

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

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Sonbull [250]
Yes, she is correct
1/2 + 1/2 = 1 or 0.5 + 0.5 = 1 so half of a wall plus half of a wall equals one hole wall.

That's as simple as I can put it mathematical reasoning. I hope this helps
7 0
3 years ago
You buy a car for $25,000. It depreciates at the rate of 23% per year.
Juliette [100K]

The worth of the car in 10 years is $1,831.67 using an exponential equation approach.

What is an exponential equation?

An exponential equation is the one with exponents such X^3(the 3 is the exponent)

The exponential equation required here is the one where the future value would be lower than current value because the car reduces in value year-in-year-out.

FV=PV*(1-r)^N

FV=future worth of the car

PV=today's value=$25,000

r=depreciation rate=-23%

N=number of years=10

The fact that r is negative means the car is depreciating not appreciating.

FV=$25,000*(1-23%)^10

FV=$1,831.67

Find further explanation on exponential equation below in the link:

brainly.com/question/11832081

#SPJ1

7 0
2 years ago
The surface area of a square pyramid is 125 square feet. The base length is 5 feet. What is the slant height?
Mademuasel [1]

Answer:

10.31 ft

Step-by-step explanation:

the base is 25 ft²

leaves 100 ft² for the 4 sides on top

so each triangle got 25ft²

the base length of the triangle is 5ft, bc it's the base length of the pyramid

so the height of the triangle is 10ft,

bc only then do we get a surface area of 25ft²

(b * h /2) for the triangle

now that we got base length and height,

let's look for the slant

we recall the pythagoras stuff to get the missing side of the triangle. but notice that we need to split the triangle in half to get a 90° angle.

leaving us with 10ft (height) and 2.5ft

slant² = 10² + 2.5²

slant² = 106.25

slant = sqrt(106.25)

slant = 10.31

3 0
2 years ago
Read 2 more answers
PLEASE ANSWER!!! A certain transformation moves a line segment as follows: Pt. A (2, 1) moves to A' (2, -1) and Pt. B (5, 3) to
worty [1.4K]

Answer: I believe this is a reflection

Step-by-step explanation: I think this is a reflection because the points are flipping to the exact opposite y coordinate.

Hope this helps.

3 0
3 years ago
Read 2 more answers
Here are descriptions for how two dot patterns are growing,
Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

T_n =2n^2 + 1

When n = 0 to 3, we have:

T_0 =2(0)^2 + 1 =1

Step 0 = 1 dot

T_1 =2(1)^2 + 1 =3

Step 1 = 3 dots

T_2 =2(2)^2 + 1 =9

Step 2 =  9 dots

T_3 =2(3)^2 + 1 =19

Step 3 =  19 dots

Next, we draw the diagrams of both patterns (see attachment)

Read more about patterns at:

brainly.com/question/15590116

6 0
2 years ago
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