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n200080 [17]
2 years ago
8

Can someone explain this

Mathematics
1 answer:
ycow [4]2 years ago
7 0

Answer:

Step-by-step explanation:

To find measures of angles m and n

The triangle to the left has three sides of equal length.

This means that it will also have three angles of equal measure.

The internal angles of a triangle sum to 180°

So the internal angles of the left triangle are 180/3 = 60°

The top right angle is made up of one of the 60° angles and angle n

60 + n = 90

n = 30°

Again the internal angles of a triangle sum to 180°, so the right triangle

m + n + 90 = 180

m = 180 - 90 - 30

m  = 60°

or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.

Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore

m = 60°

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What is the measure of arc WXY
bonufazy [111]

Answer:

152°

Step-by-step explanation:

Let P be any point on tangent \overleftrightarrow{YZ} and WY is secant or chord of the \odot J .

\therefore m\angle WYZ + m\angle WYP = 180°\\(Straight \: line \: \angle 's) \\\therefore 104° + m\angle WYP = 180°\\\therefore  m\angle WYP = 180°- 104° \\\red{\boxed {\bold {\therefore  m\angle WYP = 76°}}} \\

NOW, by tangent secant theorem:

m\angle WYP =\frac{1}{2}\times m(\widehat{WXY}) \\\\76°=\frac{1}{2}\times m( \widehat{WXY}) \\\\76°\times 2 =m( \widehat{WXY}) \\\huge \purple {\boxed {\therefore m(\widehat{WXY}) = 152°}}

8 0
2 years ago
Consider the following expression<br><br> 2y+1+9x<br><br> Select all of the true statements below.
Harman [31]

Answer:

2y+1+9x is written as a product of three factors

5 0
1 year ago
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andrew11 [14]

Answer:

x  \leqslant 2

Step-by-step explanation:

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3 years ago
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she had 98 but spent 10.85 so she now has:

98-10.85 = 87.15

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Which ordered pair is a solution of the equation? y-3=5(x-2) A.) (2,3) B.) (3,2) C.) Both D.) Neither
White raven [17]

Answer:

A is the only solution.

Step-by-step explanation:

A simple way to solve it is to plug in the x and y values

For A, we plug in 2 for x and 3 for y

3-3=5(2-2)

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Ordered pair A is a solution

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-1 does not equal 5

Therefore only A is a solution

5 0
3 years ago
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