step 1
Find out the slope WX
W(2,-3) and X(-4,9)
m=(9+3)/(-4-2)
m=12/-6
m=-2
step 2
Find out the slope YZ
Y(5,y) and Z(-1,1)
m=(1-y)/(-1-5)
m=(1-y)/-6
m=(y-1)/6
step 3
Remember that
If two lines are perpendicular
then
their slopes are negative reciprocal
that means
(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2
solve for y
2y-2=6
2y=6+2
2y=8
<h2>y=4</h2>
Answer:
x=8
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
For number 4, the midpoint is M, so the lengths of the 2 segments are half of the whole. PM and MQ are 11.
For number 5, TM and MS are 7.5.
Have an amazing day :)
Answer:
Step-by-step explanation:
We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .
We know that the ratio of sine is perpendicular to hypontenuse .
Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,
Substitute the respective values ,
<u>Hence the required answer is 40/41.</u>
Answer:
B. w = 4
Step-by-step explanation:
As we know, in a parallelogram length of opposite sides are equal.
so, AD = BC
⇒ 4w - 5 = 7w - 17
⇒ 12 = 3w
⇒ w = 4
