Answer:
∡A = 48°
∡B = 58°
∡BCA = 74°
Step-by-step explanation:
start by finding m∡BCA; this angle is supplementary with ∡BCD and the pair must add up to 180. therefore, m∡BCA = 74°
all three interior angles of a triangle must add up to 180:
74 + 4y + 3y + 22 = 180
96 + 7y = 180
7y = 84
y = 12
substitute '12' for 'y' in 3y + 22 to get 58
substitute '12' for '4y' to get 48
Well it would actually be 7.2 inches per each piece
4 units right and 4 units down
Answer:
1 quart blue + 1 1/2 quart red
Step-by-step explanation:
Given:
Ratio of blue paint : red paint = 1/3 : 1/2
simplifying this ratio into whole numbers by multiplying both sides by 2 and 3, we get:
(1/3) x (3x2) : (1/2) x (3x2)
2 : 3
From this we can determine the fractions of red and blue paint used in any total purple mix
fraction of blue paint = 2/(2+3) = 2/5 of purple mix
fraction of red paint = 3/(2+3) = 3/5 of purple mix
we are given that we want to make 2 1/2 (= 5/2) quarts of purple paint
hence
amount of blue paint
= fraction of blue paint in purple mix x total amount of purple paint
= (2/5) x (5/2) = 1 quart
amount of red paint
= fraction of redpaint in purple mix x total amount of purple paint
= (3 /5) x (5/2) = 3/2 quart = 1 1/2 quart
Answer:
x=16
Step-by-step explanation:
-8x-3=13-9x
-8x+9x=13+3
x=16
