Answer:
x=3
y=5
Step-by-step explanation:
x+5y=28 (i)
-x-2y=-13. (ii)
add equation 2 from equation 1
x+5y=28
-x-2y=-13
3y=15
y=5
put the value of y in equation 1
x+5y=28
x+5*5=28
x+25=28
x=28-25
x=3
The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,

Simplify this.



Now we can find each angle measure.











So the angle labeled
is the largest angle in the triangle.
Answer:
x = 7
x = -5
Step-by-step explanation:
Given
x² - 2x - 35 = 0
Consider the factors of the constant term (- 35) which sum to give the coefficient of the x- term (- 2)
The factors are - 7 and + 5, since
- 7 × 5 = - 35 and - 7 + 5 = - 2, thus
(x - 7)(x + 5) = 0
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7
Answer:
46 in²
Step-by-step explanation:
<span>5[8 - (9x - 7)] + 6x = 0
5[8 -9x + 7] + 6x = 0
5(15 -9x) + 6x = 0
75 - 45x + 6x = 0
-39x = -75
39x = 75
x = </span>

= 1.923076923076923 ≈ 1.92