The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Answer:
29
Step-by-step explanation:
Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression
3 * 4^2 - 7 * 4 + 9
3 * 16 - 28 + 9
= 29
Answer:
A=4.
Step-by-step explanation:
Note: In the expression of area the first term should be
.
It is given that area of a rectangular floor of your house is
and the length is
units.
We know that, area of a rectangle is
Since length of the rectangle is
, therefore
is a factor of
and the value of
is 0 at x=-2.
Divide both sides by 4.
Therefore, the value of A is 4.
Answer:
5a -4
Step-by-step explanation:
Given
(2a + 3) + (3a - 7) ← remove parenthesis
= 2a + 3 + 3a - 7 ← collect like terms
= (2a + 3a) + (3 - 7)
= 5a + (- 4)
= 5a - 4