Can someone please help me on 3,4, and 5

Mathematics

2 answers:

alexandr1967 [171]3 years ago

8 0

A=45 b=60 c=90 I think

mamaluj [8]3 years ago

3 0

This is algebra and rearranging equations.

Let's start with question 3. The sum of all the angles in the triangle is 180 degrees. Therefore, 45 + 2k + k = 180. We can solve this:

180 - 45 = 3k by rearranging the equation so 135 = 3k, so k = 135/3 = 45 degrees. We can now see that the triangle is isosceles, with two angles being both 45 degrees.

The other two follow the same process:

4: a + 2a + 2a+ a = 360 so 6a = 360

a = 360/6 = 60 degrees

5: b + 3/2 b+ (b+45) + (2b-90) + 90 = 540

5b + 1/2b + 45 = 540 (because the -90 and +90 cancel each other out)

so 5 1/2b = 495

b = 90

If you use each letter and substitute in the values into the angles, you will find that they all add up to the sum of angle measures of each shape.

Hope I helped!

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Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 1114

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Answer:

$20

Step-by-step explanation:

Paul is making bread using a recipe. The amount of flour he uses is proportional to the number of loaves of bread. He uses 11 1/4 cups of flour to make 5 loaves of bread. If Paul used 18 cups of flour, and then sold the loaves of bread he made at a bake sale for $2.50 each, how much money would Paul make from his bread sales?

Step 1

Find out how many loaves of bread he can produce from 18 cups of flour

11 1/4 cups of flour = 5 loaves of bread

18 cups of flour = x loaves of bread

Cross Multiply

11 1/4 cups × x loaves = 18 cups × 5 loaves

x loaves = 18 cups × 5 loaves/ 11 1/4 cups

x loaves = 90 ÷ 11 1/4

x loaves = 90 ÷ 45/4

x loaves = 90 × 4/45

x loaves = 8 loaves of bread

He can produce 8 loaves of bread from 18 cups of flour.