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soldi70 [24.7K]
4 years ago
9

Find the degree of w

Mathematics
2 answers:
Vanyuwa [196]4 years ago
6 0

By the external angle of a triangle theorem 142 = w + 49

So w = 142 - 49 = 93 degrees (answer)

lorasvet [3.4K]4 years ago
4 0

Sum of angles of a linear pair = 180. So angle with measurement 142 and the adjacent angle to it have a sum = 180.

THerefore 142+y=180

Subtracting 142 from both sides

y = 38

Now in the down right sides corner triangle

38+49+w=180

87+w=180

Subtracting 80 from both sides,

w = 93

So the measurement of angle w = 93 .

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Sam's vegetable garden is triangle. His plan shows that the plot is a right-angled triangle. Sam measures the sides of his veget
algol [13]

Answer:

The answer to your question is given below

Step-by-step explanation:

Let 'a' and 'b' be the length of the first two sides of the triangle and let 'c' be the longest length of the triangle.

The following data were obtained from the question:

Length of a = 17 m

Length of b = 144 m

Length of c = 145

For the triangle to be a right-angled triangle, then it must certify the pythagoras theory which states that the square of the two sides in a right-angled triangle is equal to the square of the longest side.

Thus, we can prove that the triangle is a right-angled triangle as illustrated below:

a² + b² = c²

Length of a = 17 m

Length of b = 144 m

Length of c = 145

17² + 144² = 145²

289 + 20736 = 21025

21025 = 21025

From the above illustration, we can see clearly that the square of two sides of the triangle is equal to the square of the longest side. Therefore, the triangle is a right-angled triangle.

8 0
3 years ago
12 + 3y − 8 − 7y = ?
RoseWind [281]

Answer: -4y + 4

Step-by-step explanation: 12 + 3y - 8 - 7y

                                              12 + 3y + -8 + -7y

                                             (3y + -7y) + (12 + -8)

                                             = -4y + 4

4 0
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Answer:

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Step-by-step explanation:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

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