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Murljashka [212]
3 years ago
8

Bottom left Angle: Top Angle: Bottom right Angle:

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0
Angles in a triangle always add up to 180 degrees

Here, we add up all the angles given to equal it to 180 degrees:

X + X + 10 + X + 5 = 180

Collect like terms -> 3X + 10 + 5 = 180

Add the whole numbers -> 3X + 15 = 180

Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15

The subtract -> 3X = 165

Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3

Finally, X = 55

Now wherever you see X in the triangle, replace it with 55.

With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 degrees
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We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅

in this problem
see the attached figure to better understand the problem
angle ∅=80°
opposite side angle ∅=12 ft  (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft

the answer is
2.12 ft

3 0
3 years ago
2.) Find the measure of exterior angle X:
Oxana [17]
ANSWER:
try 110 , sorry if that’s wrong
6 0
2 years ago
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What is 6 8/15 as a percentage ( 6 and 8/15)
Black_prince [1.1K]

Answer:

6.53

Step-by-step explanation:

6*15+8=98\\98/15\\6.53

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2 years ago
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Evaluate the expression when m = 63 and n = 45
sesenic [268]

The value of the given expression (3m - n)² + 4m when m = 63 and n = 45 is equal to 20,916.

<h3>What is an expression?</h3>

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

<u>Given the following variables:</u>

  • m = 63.
  • n = 45.

Substituting the given variables into the given expression, we have;

Expression = (3m - n)² + 4m.

Expression = (3(63) - 45)² + 4(45).

Expression = (189 - 45)² + 180

Expression = 144² + 180

Expression = 20,736 + 180

Expression = 20,916.

Read more on expressions here: brainly.com/question/28260012

#SPJ1

Complete Question:

Evaluate the expression when m = 63 and n = 45. (3m - n)² + 4m.

8 0
1 year ago
The histogram below represents the high temperatures recorded each day over month period. Which of the following statements are
Kisachek [45]

Answer:

See possible solutions below.

Step-by-step explanation:

The statements are not given. But the following can be determined from the graph:

  • More days recorded temperatures between 82 and 84 then other temperatures.
  • The least number of days recorded temperatures between 88 and 90.
  • The histogram is skewed to the right also known as positive skewed distribution.
  • The mean and median will most likely be in the range of 82-84 temperatures. But the mean will be greater than the median.
4 0
2 years ago
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