we know that
<u>Vertical angles</u> are a pair of opposite and congruent angles formed by intersecting lines.
so
Let
x1---------> angle vertical 1
x2---------> angle vertical 2
x1=x2 ------> equation 1
in this problem
if the vertical angles formed are supplementary
that means that
x1+x2=180 ------> equation 2
substitute equation 1 in equation 2
x1+x1=180
2x1=180
x1=180/2
x1=90 degrees
therefore
<u>the answer is</u>
The vertical angles are right angles
The answer to the question is m = 2
21, 45, 121, 300, 312, 333, 347, 421, 614,
The median is the middle number of a data set therefore you need to arrange the data is order from smallest to largest as I have done above. Then you need to find the number in the middle which is 312 in this case by finding the number which has the central position (position 5 in this case) of the data set. If there are an even number of numbers in the data set, you add them together and divide by 2 though that is not necessary this time as there are an odd number of numbers.
X2 - 2x + 9x - 18
X2 + 7x - 18
Answer:
(2 x +1) ( x + 1) = 2 x² + 3 x + 1
Step-by-step explanation:
The steops used to find the product of (2 x + 1) (x + 1) are
=( 2 x )× x + (2 x) × 1 + x + 1
= 2 x² + 2 x + x + 1
= 2 x² + 3 x + 1