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3 years ago

What type of triangle has an exterior angle that is obtuse at two vertices? Explain your reasoning.

Mathematics

1 answer:

navik [9.2K]3 years ago

5 0

Answer:

A right triangle

Step-by-step explanation:

A right triangle would meet these characteristics. A triangle's inner angles always add up to be 180 degrees. A right triangle has one angle at 90 degrees meaning the other two angles need to be less than 90 degrees and sum up to be 90 degrees. This would indicate that both of these angles' exterior angles would be obtuse because they would be wider than 90 degrees.

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Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

Brut [27]

Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

$scale\ factor=4$

Since:

$4>1$

It is an Enlargement.

You can identify that the vertices of the pre-image shown in the figure, are:

$(-2,1)\\\\(-1,2)\\\\(0,0)\\\\(-1,-2)$

So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

$((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)$

Now you can draw it (The image is attached).

8 0

3 years ago

12. Find the measure of the largest angle in the triangle shown.

Art [367]

Step-by-step explanation:

all angles of a triangle sum to 180

180 = 15x + 24x +21x

180=60x

solve for x

then substitute that for 24(x) to get the angle

7 0

3 years ago

Read 2 more answers

Otis plans to make 3 batches of sidewalk chalk How much plaster of paris does he need

den301095 [7]

Answer:

$4\frac{1}{2}$ cups plaster of paris.

Step-by-step explanation:

Given:

for one batch of sidewalk chalk = $1\frac{1}{2}$ cup plaster of paris.

Number of bathes = 3

We need to find quantity of plaster of paris.

Solution:

For making 1 batch of sidewalk chalk = $1\frac{1}{2}$ cup plaster of paris.

For making 3 batches of sidewalk chalk = $3\times 1\frac{1}{2}$ cup plaster of paris.

$= 3\times \frac{2\times 1+1}{2}$

$= 3\times \frac{2+1}{2}$

$= 3\times \frac{3}{2}$

$= \frac{3\times 3}{2}$

$= \frac{9}{2}$

$=4\frac{1}{2}$

Therefore, he needed $4\frac{1}{2}$ cups plaster of paris.

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3 years ago

What is the area of this figure? <br><br> Enter your answer in the box

Anvisha [2.4K]

Area of box : 18*18, which is 324

area of larger triangle : 18*16/2 which is 144

area of larger triangle : 8*16/2 which is 64

add them all to get 532

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3 years ago

What is the repeating decimal for 8/11

Tamiku [17]

8 ÷ 11 = 0.72727272...
Therefore, decimal '72' is repeating

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3 years ago

What type of triangle has an exterior angle that is obtuse at two vertices? Explain your reasoning.​

What type of triangle has an exterior angle that is obtuse at two vertices? Explain your reasoning.