Step-by-step explanation:
since it is in the same line as DE, both have the same slope.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point on the line to another.
and so by using the coordinates of D and E
x changes by +4 (from 8 to 12).
y changes by -8 (from 32 to 24).
the slope is therefore
-8/+4 = -2
we are given the following triangles:
We are asked to determine the value of "y". To do that we will use the tangent of 25:
We solve for "y" by multiplying both sides by "x":
Now, we take the tangent of 15:
Now, we solve for "y" by multiplying both sides by the denominator:
Now, we set both values of "y" equal, we get:
now, we solve for "x". First, we apply the distributive property on the right side:
Now, we substract
Answer:
1st option
Step-by-step explanation:
7x + 7 and 112 are vertically opposite angles and are congruent , then
7x + 7 = 112 ( subtract 7 from both sides )
7x = 105 ( divide both sides by 7 )
x = 15
4y and 112 are adjacent angles and sum to 180° , that is
4y + 112 = 180 ( subtract 112 from both sides )
4y = 68 ( divide both sides by 4 )
y = 17
Answer:
15.38 of the students reported studying between 50 and 59 minutes.
Step-by-step explanation:
