Answer:
x = 41
y = 65
z = 107
Step-by-step explanation:
y and 65 are vertically opposite angles. Vertically opposite angles are equal.
y = 65
74 + y + x = 180
74 + 65 + x = 180
139 + x = 180
x = 180 - 139
x = 41
z is the exterior angle, whereas 66 and x are interior angles in a triangle.
Formula : -
Exterior angle = Sum of two interior angles
z = 66 + x
= 66 + 41
z = 107
Answer:
95.03
Step-by-step explanation:
Answer:
48 degrees
Step-by-step explanation:
Angle 2 is a right angle.
Right angles are 90 degrees.
A line is 180 degrees.
Angle 1, 5, and 2 form a line.
180-90=90
That means that Angles 1 and 5 add up to 90 degrees.
We know that Angle 3 is 42 degrees.
Angle 3 and 5 are Vertical angles.
Vertical angles are always congruent.
This means that Angle 5 is also 42 degrees.
As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)
42+x=90
Subtract 42 from both sides.
x=48
m<1=48
Answer:
$ 13,689
Step-by-step explanation:
18*30=540*25.35= $ 13,689
Answer: 412.5cm cubed
Step-by-step explanation:
Volume of a prism: area of base ( in this case it’s the triangle) times the height
First: half x 90 x 120 = 165
Then times the height
So, 164 x 2.5 = 412.5
