This answer is rational, because the answer would be -9... which is rational.
Answer:
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- Step-by-step explanation:
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Answer:
x=16
y=23
Step-by-step explanation:
angle (4x+4) and angle (7x-44) are alternate exterior angles which are equal, so we can set up an equation like this to find x:
4x+4=7x−44
calculate it then you'll get x=16
for the next one I'm not really sure how to explain since they are not labeled but,.. since we have the measure 39 we can figure out by using the pairs 'interior angles on the same side of a transversal' and 'vertical angles' that it's equal to 141, so to find y we use the equation
8y-43=141
calculate it and you'll get y=23
180 - 72 = 118
And then the other way around is
72° again, makes the answer 118°.
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
