ANSWER
Or
EXPLANATION
Let us find the gradient of the line:
by rewriting it in the slope intercept form.
We divide through by 4 now;
This is now in the form;
where
is he slope.
This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of .
Thus the perpendicular line has slope,
.
Let the perpendicular line have equation,
When we substitute the slope we have;
We substitute the point. to find c.
We substitute c to obtain;
Or
Answer: x= 5
Step-by-step explanation: If angles 1 and 2 are supplementary, that means they add up to 180. So if angle 1 is 87, angle 2 has to be 180-87=93. Then the equation would be 15x+18=93. Subtract 18 on both sides. 15x=75. Divide by 15 and your answer is 5.
Answer:
J < -7
Explantion:
Rewrite so J is on the left side
-20j > 140
Divide each term by -20 and simplify
j < -7
21.325 is the correct answer
BE is congruent to overline CF since they are altitudes of the same trapezoid(S).
AB is congruent to overline CD (Given)
AE is congruent to overline FD by the Hypotenuse Leg Theorem.
triangle ABC is congruent to triangle DCF (SSS Triangle Congruence)
angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.