Check the picture below.
so, if we get the whole area of the figure, which will be the combined areas of those three rectangles, and if we get the area of the triangle, and then subtract that area from of the triangle from the whole figure's area, we're in effect making a whole in the total area, and what's leftover is the shaded area.
Answer:
x = 7 and y = -2
Given:
x = 5y + 17 _____first equation
2x + 3y = 8 ____second equation
Steps:
2x + 3y = 8
<em>plug in x = 5y + 17 into second equation</em>
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2(5y + 17)+3y = 8 [ open the brackets ]
10y + 34 + 3y = 8
10y + 3y = 8 - 34 [ collect and group terms ]
13y = -26 [ divide both sides by 13 ]
y = -2 [ final answer ]
solve for x:
x = 5y + 17
x = 5(-2) + 17
x = 7
Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
