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3 years ago

What is the measure is the angle shown with the question mark?

Mathematics

2 answers:

Ilya [14]3 years ago

5 0

The interior angles of a quadrilateral( 4 sided figure) add up to 360 degrees.

114 + 84 + 94 + x = 360
292 + x = 360
x = 360 - 292
x = 68 <== ur missing angle

sergejj [24]3 years ago

5 0

Hello!

The total number of degrees that a polygon must add up to are 360°.

We currently know that three of the angles are: 114°, 84°, and 94°.

We will now add up the total number of these three angles:
114+84+94= 292

To find the measurement of the last angle, we must subtract 292° from the total (360°).

360-292= 68°

The measurement of the unknown angle is 68°.

I hope this helps you!!

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Which of the following amounts is greater than 48 inches? Select all that apply.

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Answer:

A,B,C, and E

Step-by-step explanation:

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3 years ago

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1. Dolores is on a bridge that is 42 feet above a lake. What is the distance from Dolores to the boat? G

mrs_skeptik [129]

Answer:

See answer below

Step-by-step explanation:

You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:

<u>Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?</u>

<u></u>

According to that, I will use the angle of 30° to do this, but the distance of 42 feet.

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With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:

tanα = a/b

Replacing we have:

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3 years ago

A car wheel has a diameter of 20.8 inches.

m_a_m_a [10]

Answer:

65.312 inches
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Step-by-step explanation:

<h3>Given</h3>

d = 20.8 inches

Travel in 1, 5, 30 rotations

<h3>Solution</h3>

<u>Circumference of the wheel is equal to one full rotation</u>

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3 years ago

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Approximate <img src="https://tex.z-dn.net/?f=-8%20%2B%5Csqrt%7B20%7D" id="TexFormula1" title="-8 +\sqrt{20}" alt="-8 +\sqrt{20}

alisha [4.7K]

The value of the radical expression -8 + √20 when expanded and solved is -3.6, based on the given parameters

<h3>What are equivalent expressions?</h3>

Equivalent expressions are different expressions that have equal values when evaluated and compared

<h3>How to approximate the radical expression?</h3>

The expression is given as:

-8 + √20

The above expression is a radical expression

So, we start by doing the following

Express 20 as 5 * 4

-8 + √20 = -8 + √(5 * 4)

Split the radical expression √(5 * 4)

-8 + √20 = -8 + √5 * √4

Evaluate the square root of 4 i.e. √4 = 2

-8 + √20 = -8 + √5 * 2

This gives

-8 + √20 = -8 + 2√5

Evaluate the square root of 5

-8 + √20 = -8 + 2 * 2.2

Evaluate the product of 2 and 2.2

-8 + √20 = -8 + 4.4

Evaluate the difference

-8 + √20 = -3.6

Based on the given parameters, the value of the radical expression -8 + √20 when expanded and solved is -3.6

So, the complete equation is:

-8 + √20 = -3.6