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allochka39001 [22]
2 years ago
5

Find all the unknown angle measures in the diagram. Justify your answer for each angle measure.

Mathematics
1 answer:
Jet001 [13]2 years ago
4 0

Answer:

∠1 is 90° because it is a right angle

To find angle 2, we must add the given angles and x then make the equation equal to 180°, which we next solve for x;

x + 90 + 30 = 180

x + 120 = 180

-120        -120

x = 60, ∠2 = 60°

Angle 5 is vertical to angle 1 which equals 90 degrees, and <u>vertical angles are congruent</u> meaning that they measure the same degrees so therefore ∠5 = 90°

Angles 4 and 40° are <u>vertical</u> to angle 2 which measures 60 degrees;

40 + x(where x equals angle 4) = 60

-40       -40

x = 20, ∠4 = 20°

Specified earlier, angles <u>40° and 4 are equal to 60°</u>, this means that angle three added to angles 40° and 4 will be equal to 90 degrees since angle 1 is 90 degrees and the other three angles will have to equal 90 degrees because they are supplementary.

So we set up the equation;

40 + 20(angle four) + x = 90

60 + x = 90

-60       -60

x = 30, ∠3 = 30°

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mezya [45]

Hey there!

<h2>10(2)(2) </h2><h2>10(2) = 20</h2><h2>20(2) = 40</h2><h2>Thus, your answer is: 40</h2>

Good luck on your assignment and enjoy your day!

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3 0
3 years ago
Solve. 2(2z – 4) = 4​
Oxana [17]

Answer:

z = 3

Step-by-step explanation:

1) Divide both sides by 2.

2z - 4 =  \frac{4}{2}

2) Simplify 4/2 to 2.

2z - 4 = 2

3) Add 4 to both sides.

2z = 2 + 4

4) Simplify 2 + 4 to 6.

2z = 6

5) Divide both sides by 2.

z =  \frac{6}{2}

6) Simplify 6/2 to 3.

z = 3

<em><u>therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>z</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>3</u></em><em><u>.</u></em>

4 0
3 years ago
Under the translation T(-5, -2) the point (1, 6) will become (-4, -4).<br><br> True<br><br> False
Butoxors [25]

Step-by-step explanation:

<h3>It's False</h3>

Because (-5+ 1, - 2 + 6) = (- 4, 4) which is not equal to (-4, - 4).

7 0
3 years ago
Read 2 more answers
The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game. Whi
lesya692 [45]

Answer:

A. 12+2p

G. p+p+12

Step-by-step explanation:

The Eagles basketball team scored 12 more than 2 times as many points in the last game of the season than in the first game

Number of points scored in the last game of the season = 2p + 12

A. 12+2p

Equivalent

B. 2+p+12

= P + 14

Not equivalent

C. 2+12p

Not equivalent

D. p(2+12)

= 2p + 12p

Not equivalent

E. p+2+12

= P + 14

Not equivalent

F. 12p+2p

Not equivalent

G. p+p+12

= 2p + 12

Equivalent

3 0
3 years ago
-10(x+12)-11x.........................,............
NNADVOKAT [17]
-10x -120-11x
combine like terms so -10-11= -21x-120
7 0
2 years ago
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