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Pie
3 years ago
6

0-11-12. estimate to check if the given answer is reasonable.

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

Not reasonable. Not reasonable.

Step-by-step explanation:

1) 39x37=2183 We've been given this product.

Since 37 and 39 is greater than 35, then we can Round it up both to 40. Estimating that product means 40*40=1600. 2183 exceeds 1443. So the first product we've been given it's not a reasonable one.

39x37=2183 (Given)

Rounding up

40 x 40 = 1600

39 x 37 = 1443

Not Reasonable. Because 2183 exceeds the estimation (1600).

2) 27 x 8 = 2241

Since 27 is near to 30, as well as 8 is to 10. Let's round them both up:

30* 10=300

27 x 8 =216

Not Reasonable. Because 2241 exceeds the estimation (300).

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Answer each question below.
HACTEHA [7]

Answer:

\huge\boxed{\sf L = 78\°}

Step-by-step explanation:

<h3><u>Given that:</u></h3>

Exterior angle of L = 5x + 12

M = 3x - 2

N = 50

<h3><u>Statement:</u></h3>
  • Exterior angle is equal to the sum of non-adjacent interior angles.

So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.

Here,

Exterior angle of L = M + N

5x + 12 = 3x - 2 + 50

5x + 12 = 3x + 48

Subtract 12 to both sides

5x = 3x + 48 - 12

5x - 3x = 36

2x = 36

Divide 2 to both sides

x = 18

So,

<h3><u>Measure of angle M:</u></h3>

= 3x - 2

= 3 (18) - 2

= 54 - 2

= 52°

Now,

<h3><u>Measure of angle L:</u></h3>

<u>We know that,</u>

  • Sum of all the interior angles of triangle is 180 degrees.

L + M + N = 180°

L + 52 + 50 = 180

L + 102 = 180

Subtract 102 to both sides

L = 180 - 102

L = 78°

\rule[225]{225}{2}

7 0
2 years ago
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