Answer:
∠ A = 130° , ∠ B = 50°
Step-by-step explanation:
supplementary angles sum to 180°
express ∠ A in terms of ∠ B , that is ∠ A = 3∠B - 20 , then
∠ A + ∠ B = 180° , that is
3∠B - 20+ ∠B = 180 ( add 20 to both sides )
4∠B = 200 (divide both sides by 4 )
∠ B = 50°
∠ A = 3 × 50° - 20 = 150° - 20° = 130°
Ratios equivalent to 5:1 are
10:2
15:3
Answer:
$ 27.09
Step-by-step explanation:
Given,
The regular price of the watch = $ 32.25,
The marked off percentage or discount percentage, in the sale = 16%,
So, the amount of marked off = 16% of regular price
= 16% of 32.25
= 0.16 × 32.25
= $ 5.16
Hence, the the price of the watch during the sale = Regular price - marked off
= $ 32.25 - $ 5.16
= $ 27.09
Last option is correct.
Answer:
56
Step-by-step explanation:
20 feet =10 inchs
10 feet is 5 inches
5 feet is 2.5 inches
1 feet is 0.5 inch
10+5+2.5+0.5= 18 inches
10+10+18+18=56
Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
