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madam [21]
3 years ago
7

A line through point A is drawn parallel to the base of ABC. Without using a protractor, justify that the three angles of ABC ad

d up to 180 degrees.

Mathematics
1 answer:
faltersainse [42]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Since the line through A is parallel to BC, then

b = 3 ( alternate angles )

a = 1 ( alternate angles )

a + 2 + b = 180° ( straight angle ), thus

1 + 2 + 3 = 180°

Thus the 3 angles of ΔABC sum to 180°

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Elena-2011 [213]

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   =2+8            2x8=16
   =3+7            3x7=21
   =4+6            4x6=24
   =5+5            5x5=25
↑ Left: the possible measurements of the two fences, Right: the possible areas

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Ans: 25 square feet


5 0
3 years ago
Subtitute 2x+y=7 and 3x-y=8
iogann1982 [59]

Answer:

x = 3 , y = 1

Step-by-step explanation:

2x + y = 7

3x + y = 8

solution

2x + y = 7-----------(1)

3x - y = 8------------(2)

from equation 1

2x + y = 7

y = 7 - 2x-------------(3)

substitute equation 3 into equation 2

3x - y = 8

3x - (7 - 2x) = 8

3x - 7 + 2x = 8

3x + 2x = 8 + 7

5x = 15

divide through by the coefficient of x

5x/5 = 15/5

x = 3

to find y

substitute x into equation 1

2x + y = 7

2(3) + y = 7

6 + y = 7

y = 7 - 6

y = 1

8 0
4 years ago
(1, 5) (3 , 1) <br> Please Help
hammer [34]

Answer:

(4, 6)?

Step-by-step explanation:

Im not sure you didn't give much info

6 0
3 years ago
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White raven [17]

Answer:

area = 202.5 yd²

Step-by-step explanation:

area = (15 x 12 ) + (3)(15)(0.5)

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8 0
3 years ago
Read 2 more answers
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Mademuasel [1]

Step-by-step explanation:

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    5^8 ÷ 5^-2 =

     (6^3 ) ^ 4 =

For these problems, the applicable rules of exponents are;

      aᵇ x aⁿ  = aᵇ⁺ⁿ

      aᵇ  ÷ aⁿ = aᵇ⁻ⁿ

       (aᵇ)ˣ  = aᵇˣ

For the first problem; 4³ x 4⁵

     aᵇ x aⁿ  = aᵇ⁺ⁿ

      4³ x 4⁵  = 4³⁺⁵   = 4⁸

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5 0
3 years ago
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