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vovikov84 [41]
3 years ago
5

In triangle XYZ, an exterior angle to angle X had measure 100° and an exterior angle to angle Z has measure 120°. Which side of

triangle XYZ is the longest?
Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

Side YZ is the longest

Step-by-step explanation:

The longest side is across from the largest angle.

Angle X must be 80° because its exterior angle is 100° and they're supplementary. Angle Z is 60° for the same reason. Inside a triangle is always 180°, and since the measures of angle Z and X add up to 140°, so there's 40° left, meaning angle X is the largest.

Angle X is across from size YZ, so that's the longest

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The dimensions of a triangular prism are shown in the diagram.
KatRina [158]

Answer:

The answer is 192.

Step-by-step explanation:

8 0
3 years ago
What number can be added to n and is equal to 200​
kirill [66]
N is an number you make up or your teacher so we need to know what n equals
8 0
3 years ago
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A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters. Which expression represe
Tresset [83]
The expression representing the volume of the prism is given as:
Volume=[base area]*[height]
base area is the area of the pentagon;
The area of pentagon is given by:
Area of pentagon=a^2ntan(180/n)
a=apothem length
n=number of sides
Area=2.8^2*5tan(180/5)
Area=28.48=28.5 cm^2
Therefore the expression for the volume of the prism with height,h, will be:
volume=28.5h cm^3
6 0
3 years ago
An international company has 25,600 employees in one country. If this represents 19.3% of the company's employees, how many empl
Elden [556K]

Answer:

Step-by-step explanation:

An international company has 25,600 employees in one country. If this represents 19.3% of the company's employees, then the total number of employees that the international company has would be 100%.

To determine the actual value for 100%,

Let x represent the total number if employees that the international company has. Therefore

19.3/100 = 25,600/x

Cross multiplying,

19.3x = 25600 × 100 = 2560000

x = 2560000/19.3 = 132642.49

The total number of employees is approximately 132643

8 0
3 years ago
Given the graph below, which of the following statements is true?
iogann1982 [59]

Answer: D.

The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.

Step-by-step explanation:

Looking at the graph included in the answer, the graph is connected between four points.

It starts with a negative slope, then changes to a positive slope after (-2, 0), and then changes back to a negative slope after (2, 2).

To answer this, first we need to know what a one-to-one function is.

A one-to-one function is any function that only has one x-coordinate for every y-coordinate. If a function has two x-coordinates for one y-coordinate (for example, (5, 4) and (10, 4)), then the function is not one-to-one.

An example of a one-to-one function is the graph of y = x.

There is only one x-coordinate for every y-coordinate on the graph.

<em>You can use the "horizontal line" test to determine whether a function is one-to-one.</em> If a horizontal line is placed anywhere on a graph and intersects the function more than once, the function is not one-to-one

For the function given:

When a horizontal line is placed at "y = 1", it intersects the function three times. This means that the function IS NOT one-to-one.

Choice D is correct.

The coordinates between y = 0 and y = 2 are paired with multiple x-values, and this correctly explains why the function is not one-to-one.

8 0
3 years ago
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