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Bond [772]
3 years ago
5

How many triangles exist with the given angle measures? 32°, 51°, 97°

Mathematics
1 answer:
irinina [24]3 years ago
6 0
For each triangle sum of it's angles must add to 180°.
We need to check if these angles satisfy that condition:
32°+51°+97°=180°

They do satisfy. Now we check if any angle has value that is not possible.
32° and 51° angles are OK.
97° angle is also OK. It is obtuse angle.

For each angle measures exactly one triangle exists. In this example we have an obtuse-angle triangle.
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Which term best describes the graph of y = –2?
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Answer:

It would be constant.

Step-by-step explanation:

Since there is no x value, the line will have no slope and just be horizontal about y= -2.

3 0
2 years ago
Can an octagon have interior angles that measure 100 degrees, 156 degrees, 125 degrees, 90 degrees, 175 degrees, 160 degrees, an
worty [1.4K]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

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2 years ago
In parallelogram ABCD, the measure of angle ABC is 130, find the measure, in degrees of angle DAB
77julia77 [94]
Angle ABC = 130
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6 0
3 years ago
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Consider the function graphed below. What is the average rate of change of the function over the interval [1, 3]?
EleoNora [17]
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8 0
3 years ago
Use synthetic division to show that the number given to the right of the equation is a solution of the equation. Then solve the
AysviL [449]

Answer:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

Step-by-step explanation:

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We perform the synthetic division as shown in the attachment by dividing by x-2.

This gives a remainder of 0 and a quotient of

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(x - 2)(2 {x}^{2}  + 5x + 2) = 0

We factor the quadratic term by splitting the middle term;

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Collect common factors again:

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The solution is:

x = 2 \: or \: x =  - 2 \: or \: x =  -  \frac{1}{2}

8 0
3 years ago
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