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Strike441 [17]
3 years ago
7

Find the measures of each angle in the triangle.

Mathematics
1 answer:
Rufina [12.5K]3 years ago
3 0
We use 2 different rules here:

1) sum of angles in a triangle is equal to 180 degrees

2) when a triangle side is a diameter of the circle, then angle opposite to diameter is equal to 90 degrees.

so from 2) we know that B= 90

then from first one:

sum of angles = 180 = 90 + (3x + 6) + x = 96 + 4x

so 180 - 96 = 4x
so x = 84/4
x = 21

so answer is
A= 3x+ 6 = 63 + 6 = 69
B = 90
C = 21
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What is the following quotient? 2/ square root 13 + square root 11
enot [183]

Given : \frac{2}{\sqrt{13}+\sqrt{11}}

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}

=\frac{2\left(\sqrt{13}-\sqrt{11}\right)}{\left(\sqrt{13}+\sqrt{11}\right)\left(\sqrt{13}-\sqrt{11}\right)}

\left(\sqrt{13}+\sqrt{11}\right)\left(\sqrt{13}-\sqrt{11}\right)

\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}\left(a+b\right)\left(a-b\right)=a^2-b^2

a=\sqrt{13},\:b=\sqrt{11}

=\left(\sqrt{13}\right)^2-\left(\sqrt{11}\right)^2

\left(\sqrt{13}\right)^2-\left(\sqrt{11}\right)^2=13-11=2

=\frac{2\left(\sqrt{13}-\sqrt{11}\right)}{2}

\mathrm{Divide\:the\:numbers:}\:\frac{2}{2}=1

=\sqrt{13}-\sqrt{11}

Therefore, correct option is D.\\\sqrt{13} - \sqrt{11}

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3 years ago
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Why isn’t anyone helping me with my worksheet :(
SSSSS [86.1K]

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because it looks terrifying:( i feel so bad 4 u

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What is the simplified form of ether following expression ?
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76828262638292827273737373 there
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Estimate:<br> √5 + √15 <br><br> 8<br><br> 4<br><br> 6
aleksandrvk [35]
x= \sqrt{5} + \sqrt{15}
x^{2} =( \sqrt{5} + \sqrt15} )^2
= 5 + 15 + 2 √5√5√3
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≈36

x≈6
6 0
3 years ago
At any point in time, there could be bicycles, tricycles, and
Aleksandr-060686 [28]

Answer:

There may be 1 or 3 tricycles in the parking lot.

Step-by-step explanation:

Since at any point in time, there could be bicycles, tricycles, and cars in the school parking lot, and today, there are 53 wheels in total, if there are 15 bicycles, tricycles, and cars in total, to determine how many tricycles could be in the parking lot, the following calculation must be performed:

13 x 4 + 1 x 3 + 1 x 2 = 57

11 x 4 + 1 x 3 + 3 x 2 = 53

10 x 4 + 3 x 3 + 2 x 2 = 53

8 x 4 + 5 x 3 + 2 x 2 = 51

10 x 2 + 1 x 3 + 4 x 4 = 39

9 x 3 + 1 x 2 + 5 x 4 = 49

Therefore, there may be 1 or 3 tricycles in the parking lot.

6 0
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