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4vir4ik [10]
3 years ago
14

Given: ∠A is a straight angle. ∠B is a straight angle.

Mathematics
2 answers:
choli [55]3 years ago
7 0

Given: ∠A is a straight angle. ∠B is a straight angle.

We need to Prove: ∠A≅∠B.

We know straight angles are of measure 180°.

So, ∠A and <B both would be of 180°.

It is given that ∠A and ∠B are straight angles. This means that <u>both angles are of 180°</u> because of the <u>the definition of straight angles</u>. Using <u>the definition of equality</u>, m∠A=m∠B . Finally, ∠A≅∠B by <u>definition of congruent. </u>

Alika [10]3 years ago
5 0

Just took the quiz, the right answers are:

It is given that ∠A and ∠B are straight angles. This means that <u>m∠A = 180° and m∠B = 1</u> because of the <u>definition of straight angles</u> .

Using the <u>substitution property of equality</u> , m∠A = m∠B . Finally, ∠A≅∠B by <u>angle congruence postulate</u> .

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dybincka [34]

Answer:

x=4 and y=4

Step-by-step explanation:

From first function we have:

3x - 4y =  - 4 \\ 4y = 3x  + 4

And from the second one:

y = 2x - 4 \\ 4y = 8x - 16

Substitute them:

4y = 3x + 4 \\ 4y = 8x - 16 \\  \\ 0 =  - 5x + 20 \\ x = 4 \\ y = 4

7 0
2 years ago
If a auditorium has 850 seats tickets were sold for 816 of the seats of the seats for what percent of the seats were tickets sol
Sonja [21]
It's 96%


816/850 = 0.96, which is 96%

Hope I helped! ( Smiles )
8 0
3 years ago
A weather service records 28.8 inches of rain over a 12 month period. What is the average rainfall per month for the year?
Basile [38]

Answer:

B) 2.4 inches

Step-by-step explanation:

The total amount of rain is 28.8 inches over 12 months. To find how much rain falls averagely in <em>one </em>month you need to divide the total by the amount of months. 28.8/12 = 2.4

6 0
2 years ago
Use the graph below to answer the question that follows:
snow_lady [41]

Answer:

  D)  Amplitude: 2; period: π; midline: y = 1

Step-by-step explanation:

The question is much more easily answered from the graph than from the description of the graph.

The amplitude is the extent of the peak above the midline (2), or half the peak-to-peak value (4/2=2). The midline is the line halfway between the peaks (1). The period is the horizontal distance between peaks of the same polarity (π).

7 0
3 years ago
Read 2 more answers
Simplify 3(2m^3n^-2)^4
Effectus [21]

Answer:

(48 m^12)/n^8

Step-by-step explanation:

Simplify the following:

3 ((2 m^3)/(n^2))^4

Multiply each exponent in (2 m^3)/(n^2) by 4:

3×2^4 m^(4×3) n^(-2×4)

4 (-2) = -8:

3×2^4 m^(4×3) n^(-8)

4×3 = 12:

(3×2^4 m^12)/(n^8)

2^4 = (2^2)^2:

(3 (2^2)^2 m^12)/(n^8)

2^2 = 4:

(3×4^2 m^12)/(n^8)

4^2 = 16:

(3×16 m^12)/(n^8)

3×16 = 48:

Answer: (48 m^12)/n^8

5 0
3 years ago
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