Answer:
see explanation
Step-by-step explanation:
∠1 and 170° form a straight angle and are supplementary, thus
∠1 = 180° - 170° = 10°
∠1 and ∠3 are vertical angles and congruent , thus
∠3 = 10°
∠2, 15° and ∠3 form a straight angle and sum to 180°, thus
∠2 = 180° - 15° - 10° = 155°
Thus
∠1 = 10°, ∠2 = 155°, ∠3 = 10°
Answer:3:1
Step-by-step explanation:
Given
There are 27 solid spheres of radius x cm
The volume of a sphere is 
The volume of 27 old spheres is the same as the volume of a new sphere
The volume of the old spheres is
The volume of a new sphere is
Now,
Step One
Find the area of the rectangle
Area = L * W
Area = 89 cm * 70 cm
Area = 6230 cm^2
Step Two
What is the formula for the two end semicircles?
Two semicircles = 1 whole circle
Area of any circle = pi * r^2
Step Three
Find the area of the circle
r = the width / 2 This may not be true. You need the diagram. If the circles are drawn on the length then use r = the length / 2
r = 70/2 = 35 cm
Area of circle = pi * r^2
Area of circle = 3.14 * 35^2
Area of circle = 3846.5
Step Four
Find the total area
The total area = Area of the rectangle + area of circle
The total area = 6230 + 3846.5
The total area = 10076.5 cm^2 <<<< Answer
The perimeter equation for a rectangle is two times the base plus two times the height.
2B + 2H=P
Plug in the known values and solve for x.
2(2x) + 2(x+1)=53
4x+2x+2=53
6x=51
x=8.5
Now that we know what x is, put it back into the formula for the height of the rectangle to find the final answer.
H= x+1
H=8.5+1
H=9.5 ft
It travels 140 miles per 1 hour
