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Sholpan [36]
3 years ago
14

Lines g, h, and l are parallel and m< 2 = 132°.

Mathematics
2 answers:
xxMikexx [17]3 years ago
4 0
M < 2 and m < 6 are corresponding angles and are equal....so < 6 = 132.

< 6 and < 8 form a line and are equal to 180

< 6 + < 8 = 180
132 + < 8 = 180
< 8 = 180 - 132
< 8 = 48 <===
Margarita [4]3 years ago
3 0

Answer:

A \displaystyle 48\:degrees

Step-by-step explanation:

If you take a look at m∠8 & m∠6 and m∠4 & m∠2, they all form linear pairs, and linear pairs sum up to 180°, and m∠6 and m∠2 are in correspondence with each other [equivalent angle measures], according to the Angle Correspondence Theorem:

180° = 132° + m∠8

- 132° - 132°

____________________

\displaystyle 48° = m∠8

I am joyous to assist you anytime.

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Assuming that the inequality you were going for was a ≤, set both polynomials less than or equal to 0.

x - 3 ≤ 0

x + 5 ≤ 0

For the first equation add 3 to both sides of the inequality. For the second, subtract 5 from both sides.

x ≤ 3

x ≤ - 5

These would be your solutions I guess, however, if you want to expand upon that, your actual answer is (- ∞, - 5] because if you were to plot these two inequalities on a number line, that is where the overlap would occur.

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3 years ago
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1. There are 8 big fish for every 10 small fish.

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3 years ago
Leslie and Daniel plan to put an above-ground pool in the backyard of their new home. The backyard is rectangular, 30 feet by 50
Brut [27]
1047.84ft² is not covered by the pool.
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Subtract the area of the pool from the area of the yard to get the area of the yard that is not covered by the pool. If the dimensions of the yard are 30ft by 50ft, you multiply them to get the area: 1500ft²

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4 0
3 years ago
As part of his math assignment, Santos has to estimate the height
ycow [4]

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

5 0
3 years ago
Find the measure of the exterior angle.
PtichkaEL [24]

Answer:

1) 128°

2) 126°

3) 108°

<h2>Question one:</h2>

   The square in the corner means 90°. If you add the interior angles of any triangle together, you get 180. in this case, x is in exterior angle, so you subtract it from 180 to get the interior angle.  

38 + 90 + (180-x) = 180

38 + 90 + 180 - x = 180

38 + 90 + 180 - 180 - x = 0

38 + 90 + 180 - 180 = x

128 = x

<h2>Question two:</h2><h2></h2>

again, adding all the interior angles makes 180°. use this to make the equation.

3x + (5x-6) + 90 = 180

3x + 5x - 6 = 90

8x = 96

x = 12.

   x isn't the answer the question wants, however. if you look at the drawing, the angle that's supplementary to 5x-6 is the exterior angle. so,

180 - (5x-6) = the answer

180 - 5x + 6 = the answer

substitute x for 12

180 - 60 + 6 = the answer

126 = x

<h2>Question three</h2>

again, adding all the interior angles together makes 180°.

(a + 10) + 44 + (180-2a) = 180

a + 10 + 44 + 180 - 2a = 180

-a + 234 = 180

234 - 180 = a

54 = a

however, the question is looking for the exterior angle, not a. in this case, the exterior angle is 2a, so just multiply 54 by 2.

x = 108

8 0
3 years ago
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