Answer:
the height of the rectangle is 13 cm
Step-by-step explanation:
The computation of the height of the rectangle is shown below:
As we know that
Area of rectangle = base × height
156 cm^2 = × 12 × height
So, the height is
= 156 ÷ 12
= 13 cm
hence, the height of the rectangle is 13 cm
Answer:
Step-by-step explanation:
∠ABC + ∠CBD = 90 so filling in the expressions for these angles:
(2x + 14) + (x + 7) = 90 and
3x + 21 = 90 and
3x = 69 so
x = 23. To find the measure of angle ABC in particular, we sub in a 23 for x:
x + 7 --> 23 + 7 = 30°, the last choice there.
Answer
{-10, 9}
Step-by-step explanation:
The above are Simultaneous equations
<h2>
What are simultaneous equations?</h2>
These are two or more equations that share same variables.
8X + 10Y = 10--------(1)
5X + 4Y = -14-------(2)
<h3>Multiply equation (1) by 5 and equation (2) by 8</h3>
40X + 50Y = 50 ---------(3)
40X + 32Y = - 112--------(4)
<h3>Subtract equation (4) from (3)</h3>
18Y = 162
<h3>Divide bothsides by 18</h3>

<h3>Substitute y = 9 into equation (3)</h3>
40X + 50Y = 50
40X + 50(9) = 50
40X + 450 = 50
40X = 50 - 450
40X = - 400
<h3>

</h3>
{-10, 9}