Answer:
Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:
We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:
On the right, combine like terms:
Add:
Subtract 12 from both sides. The right cancels:
Divide both sides by 12:
So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:
Substitute 8 for y:
Multiply:
Add:
Do the same for ST:
Substitute 8 for y:
Multiply:
Add:
The answer to this is 67.00
Answer:
-7/2 = -2(x-1/2)^2
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
Answer:
x = 18.5
∠1 = 76°
∠2 = 104°
∠3 = 76°
∠4 = 104°
∠5 = 76°
∠6 = 104°
Step-by-step explanation:
4x + 2 + 6x - 7 = 180
4x + 6x = 180 - 2 + 7
10x = 185
x = 185/10
x = 18.5
∠1 = 76°
∠2 = 104°
∠3 = 76°
∠4 = 104°
∠5 = 76°
∠6 = 104°
