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3 years ago

Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b.

Mathematics

2 answers:

satela [25.4K]3 years ago

7 0

Answer:

a = 60°

b = 120°

Step-by-step explanation:

First, you can find measure a by using the first shape. There are six rhombuses, and you can use the innermost a of each one to form a circle. A full circle is 360°, so divide 360 by six. The answer is sixty. So on the next shape, the a measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for b, you would divide 240 by two. The answer is 120.

To check your work, use the knowledge that circles are 360° (the four interior corners of a rhombus will also add up to 360°. 2(120) + 2(60) = 360. Hope this helps! Feel free to ask any questions!

kap26 [50]3 years ago

4 0

A=60
b=120
Hopes this help

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

Does anyone understand how to do this

Lerok [7]

Answer:

Step-by-step explanation:

I understand it! (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers. You don't know what they are so we will call them x and y. Our first statement says that these numbers multiply to equal 120. So that first equation is

xy = 120

Our second statement says that they add to -22. So that second equation is

x + y = -22

Now we need to find the 2 numbers. We have 2 unknowns, x and y. That means that we have to have 2 equations. No more than 2 no less than 2. Solve the first equation for y. It doesn't matter which equation you pick and which variable you choose to solve for. If you do the work correctly, you will get the correct answers either way. Solving the first equation for y gives you:

$y=\frac{120}{x}$