
Angles forming linear pair are :

And we know, they are supplymentary
So, the measures of the given angles are :
And
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Answer:
42 units squared
Step-by-step explanation:
break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.
so the area of the rectangle = l x w
= 4 x 7
= 28
the area of the triangle is ( l x w )/2
= (7 x 2)/2
= 7
the other triangle is the same too
so the area of that is also 7.
now add all areas,
7+7+28 = 42
"a" is an absolute value, so that means that after whatever is in the brackets is solved as far as it can be, it becomes a positive value, no matter what it is. So, |-1.4| is equal to 1.4. The equation is 1.4+ (-2.7) or 1.4 - 2.7 which equals -1.3
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Step-by-step explanation:
So when a question asks what is x% of the y number. It's asking you to convert the x into decimal form by dividing by 100 and then multiply it by y. This gives you the equation:
which gives you x% of y. so 15% of 43 is
. 43% of 300 is
.
the 12% of what number is 43 is a bit more tricky. It's asking you to instead find a number in which 12% of it is equal to 43. So instead of plugging solving for the percentage (which is already given) you solve for y. This gives you the following equation:
. Now all you do is calculate 12/100 which gives you
. now divide both sides by 0.12 to solve for y. This gives you 
43 is what percent of 106? This question is also a bit tricky, but instead of solving for y, you're solving for x. So plug in the known values, which gives you the equation:
. Divide both sides by 106 to get
and now multiply both sides by 100. this gives you
which is the answer 40.57%
What percent of 43 is 6. This is asking the same thing just in a different way. So percentage = unknown, entire number = 43, entire number * percentage = 6. With these values we get the equation:
. Divide both sides by 43 to get
now multiply by 100 to get
which is the answer 13.95%