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serious [3.7K]
3 years ago
8

I just need someone to explain please

Mathematics
1 answer:
slava [35]3 years ago
5 0
<h3><u>Given</u><u>:</u></h3>

line m || line n

<h3><u>To</u><u> </u><u>Find</u><u>:</u></h3>

The value of x.

<h3><u>Alternate</u><u> </u><u>Interior</u><u> Angles</u><u>:</u></h3>

The angles formed when a transversal intersects two parallel lines ( m and n ).

<h3><u>Explan</u><u>ation</u><u>:</u></h3>

6x + 10° = 5x + 28° ( Alternate Interior Angles )

By transposition method, we get

6x - 5x = 28° - 10°

By simplifying the like terms, we get

x = 18°

<h2><u>Answer</u><u>:</u></h2>

The value of x is 18°.

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The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle.
nataly862011 [7]

Answer:

(2x+18) degrees

Step-by-step explanation:

A triangle is a total of 180 degrees, so you would do:

(2x+18)+55+(4x+11)=180

(2x+4x)+(18+55+11)=180           <- take out parentheses and add like terms

6x+84=180                         <- subtract 84 from both sides of the equation

6x=96                                    <- divide 6 from each side

x=16

Now that you know what x is you would plug it into each of the angles

Angle 1: 2x+18 --> 2(16)+18= 32+18= 50

Angle 2: 55

Angle 3: 4x+11 --> 4(16)+18= 64+18= 82

Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.

4 0
3 years ago
Read 2 more answers
URGENT HELP PLEASE!
KonstantinChe [14]

Answer:

Perpendicular lines (c)

3 0
3 years ago
When 3x^2-12x-7 is written in the form of a (x-h)^2+k, what is the value of a,h, and k?
slavikrds [6]
A=2,h=5,k=0 and the vertex,which is (h,k) is vertex (-5,0)
3 0
3 years ago
5x + y =7<br> 20x + 2 = y
kodGreya [7K]

Answer:

y = 6

x = 0.2

Step-by-step explanation:

5x + y =7

20x + 2 = y

5x(4) + y(4) = 7(4)

20x + 4y = 28

(20x = 28 - 4y) = (20x = y - 2)

28 - 4y = y - 2

30 - 4y = y

30 = 5y

y = 6

5x + y =7

20x + 2 = y

y = 7 - 5x

7 - 5x = 20x + 2

5 - 5x = 20x

5 = 25x

x = 0.2

4 0
3 years ago
Evaluate the expression when m=7 and n=26.<br><br> n-63/m
sergeinik [125]
The answer to your problem is 17

4 0
3 years ago
Read 2 more answers
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