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forsale [732]
3 years ago
10

If /\PQR~/\SQT, find the value of x.

Mathematics
1 answer:
worty [1.4K]3 years ago
7 0

Answer:

\frac{x + 13}{8}  =  \frac{21}{x - 9}  \\  {x}^{2}  + 4x  - 117 = 168 \\  {x}^{2}  + 4x   - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x =  - 19

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What 2 numbers have a total of 46 and a diffrence of 12​
aleksley [76]

Answer:

29 and 17

Step-by-step explanation:

Sum: 29 + 17 = 46

Difference: 29 - 17 = 12

3 0
3 years ago
Read 2 more answers
What is the value of the expression?
lora16 [44]
-square root 3 over 3
 hope this helps.
7 0
3 years ago
The area of a rectangle is 144cm squared.if the length is 16cm. What's the perimeter?​
andreev551 [17]

Answer:

50

Step-by-step explanation:

rectangle area = 144 cm

Formula: A= L*H

The give the length which is 16

144 = 16*H

Since they gave u the area instead of the height, work backwards

144/16 = 16/16 *H

9 = H

Now you have the length and height

Length: 16

Height: 9

Perimeter is when you add up all the sides

The top and bottom of the rectangle is the length which is 16 so

16 + 16 = 32

The left and right side of the rectangle is the height which is 9 so

9 + 9 = 18

Now add then both

32 + 18 = 50

So the perimeter of the rectangle is 50

Hope this helped!

4 0
3 years ago
Solve the system of equations below algebraically <br> 2x+3y=6 and -5x+2y=4
Charra [1.4K]


Steps
I’m using elimination so I’m trying to get rid of y
To do that I multiply the first equation by 2 and the second by -3. Then solve
4x + 6x = 12
15x + -6x = -12
—————————
19x + 0 = 0
Divid by 19 to get x to one side. 0/19 is 0 so
X= 0
Plug that into an equation so 0 + 3y = 6
Divid by 3 and y = 2
Answer x = 0 y = 2
7 0
3 years ago
What times -1/2 x what = -20?
Radda [10]

Answer:

40

Step-by-step explanation:

Let the number be y

-1/2 × y = -20

y = -20 ÷ -1/2

y = 20 × 2

y = 40

6 0
3 years ago
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