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Sladkaya [172]
3 years ago
8

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:

<em>a = </em>60°

<em>b </em>=<em> </em>120°

Step-by-step explanation:

First, you can find measure <em>a </em>by using the first shape. There are six rhombuses, and you can use the innermost <em>a </em>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 <em>a</em> measurements add up to 120°. Subtract that from the circle: 360 - 120 = 240. And since there are two measurements for <em>b</em>, 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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The common ratio in a geometric series is 4 and the first term is 3.
kodGreya [7K]

Answer:

The sum of the first 8 terms in the series is 65535.

Step-by-step explanation:

We have,

The common ratio in a geometric series, r = 4

First term of GP is, a = 3

It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

S_n=\dfrac{a(r^n-1)}{r-1}, r>1

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S_8=\dfrac{3\times ((4)^8-1)}{4-1}\\\\S_8=65535

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3 years ago
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3 years ago
Is the ordered pair a solution to the system of linear equations?
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<span>​-7x + 2y = 0
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</span><span>​ordered pair: (−2,2)

the way to figure out if that ordered pair is a solution is pretty simple, you just plug the ordered pair into both equations, and check if the outcome is true.

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