Answer:
Smaller=18 degrees; larger= 162 degrees
Step-by-step explanation:
ok so first supplementary angles mean that the two angles added together will equal 180 degrees.
so 1x + 9x = 180 (combine like terms)
10x=180 (divide each side by 10)
x=18
so the smaller angle is 18 because its only 1x, and the larger angle is 162 because 18x9=162
check: 18 + 162 = 180
Answer:
7.5 m 457.5

Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V =
.
Original Cone =
=
= 937.5
Smaller Cone =
=
= 480
Frustum = 937.5
- 480
= 457.5
Answer:
P=2(l+w)
divide the both sides by 2
P/2 = l +w
make w the subject of the formula
P/2 - l =w
w = P/2 - l
Answer:
(35k + 20) cents
Step-by-step explanation:
First of all, let us have the value of each unit:
1 quarter = 25 cents
1 nickel = 5 cents
1 dime = 10 cents
Given that number of quarter = k
Quarters are 5 lesser than Nickels, so number of nickels = k+5
One more than twice as many dimes as quarters:
k = 2
Number of Dimes + 1
So, number of dimes = 
Value of quarters =
cents
Value of nickels = 
Value of dimes = 
So, total value of coins =

Answer:
The first pair.
Step-by-step explanation:
3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.