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4 years ago

Two exterior angles of a triangle equal 100° and 150°. Find all the interior angles.

Mathematics

1 answer:

Papessa [141]4 years ago

3 0

Answer:

The interior angles are 80°, 30° and 70°.

Step-by-step explanation:

The sum of interior angle of a triangle is 180°. Two exterior angle of the triangle is given as 100° and 150°. The exterior angle of a triangle is equal to the sum of the opposite interior angle. The exterior angle is the angle between one side of a triangle .

Since angle on a straight line = 180°

Two interior angles can be calculated as follows

180 - 100 = 80°

180 - 150 = 30°

2 interior angles are known.

Note the sum of interior angle of a triangle is 180°

since 2 interior angle are known the third angle can be calculated as follows

180 - 80 - 30 = 70°

The interior angles are 80°, 30° and 70°.

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Point N(7, 4) is translated 5 units up.

lutik1710 [3]

It is given in the question that

Point N(7, 4) is translated 5 units up.

And we have to find the coordinates of its image after this transformation.

Since the point translated up by 5 units, so the x coordinate remains same and we have to add 5 to y coordinate.

So the new coordinate after the transformation is

$N'(7+5,4)
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And that's the required coordinate after the given transformation .

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3 years ago

if sofia has 40,000 dresses and she needs to put them in 1,000 boxes equally, how many dresses will fit in each box

Margaret [11]

Answer:

40 dresses will fit in each box

Step-by-step explanation:

40,000 ÷ 1,000 = 40

Hope this helps

4 0

3 years ago

Read 2 more answers

A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the

forsale [732]

Answer:

option (c) n = 201

Step-by-step explanation:

Data provided in the question:

Standard deviation, s = 5.5 ounce

Confidence level = 99%

Length of confidence interval = 2 ounces

Therefore,

margin of error, E = (Length of confidence interval ) ÷ 2

= 2 ÷ 2

= 1 ounce

Now,

E = $\frac{zs}{\sqrt n}$

here,

z = 2.58 for 99% confidence interval

n = sample size

thus,

1 = $\frac{2.58\times5.5}{\sqrt n}$

n = (2.58 × 5.5)²

n = 201.3561 ≈ 201

Hence,

option (c) n = 201

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3 years ago

Sqareroot 12 - (sqr. 3) = ?

Brrunno [24]

1.73 is the answer >:-)............................

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3 years ago

3x-9 when x=3<br> Solve this

Citrus2011 [14]

Answer:

Step-by-step explanation:

3x - 9 if x = 3

Substitute:

3(3) - 9 =

9 - 9 = 0

This can be written as a function: f(x) = 3x - 9

f(3) = 3x - 9

f(3) = 3(3) - 9

f(3) = 9 - 9

f(3) = 0

-Chetan K

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3 years ago