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ryzh [129]
3 years ago
7

What is the answer for part b

Mathematics
1 answer:
trasher [3.6K]3 years ago
5 0

Answer:

(-3,-10)

Step-by-step explanation:

Given part a, you seem to know the midpoint formula. We can easily edit that to figure out what an endpoint is. Say that a variable "a" represents the x coordinate of D, and b the y coordinate. As the x coordinate of M is 0.5, and the x coordinate of C is 2, we can use the midpoint formula to say that \frac{a+2}{2} =-0.5 . Multiplying both side by 2, we get that a+2=-1, and subtracting both sides by 2, a=-3. Similarly, \frac{b+7}{2} =-1.5, b+7=-3, and b=-10, making our answer (-3, -10). Let me know if you have any questions.

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In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

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2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

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Answer:

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Step-by-step explanation:

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Answer:

see explanation

Step-by-step explanation:

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