Determine the constant of variation for the direct variation given . (0,0) (3,12) (9,36). Answer choices A. 3 B. 4 C. 12

Mathematics

1 answer:

andrezito [222]4 years ago

6 0

B, four since (36-9)/(9-3)is 4

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An apartment complex has a total of 175 units. Of these, 154 units are occupied. What percent of the apartment are unoccupied?

Vikentia [17]

Answer:

22%

Step-by-step explanation:

100% - ( 154 / 175 )

1.00 - (0.88)

0.22 -------> 22%

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3 years ago

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If mZBAC = (7x + 1) º and<br> mZBCA = (52 + 9) . what is the<br> measure of the vertex angle?

nata0808 [166]

<h3>Answer: 122 degrees</h3>

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Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

We're told that angles A and C are base angles. For any isosceles triangle, the base angles are congruent

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Let's use this fact to solve for x.

angle A = angle C

7x+1 = 5x+9

7x-5x = 9-1

2x = 8

x = 8/2

x = 4

Once we know what x is, we can find each base angle

angle A = 7x+1 = 7*4+1 = 28+1 = 29
angle C = 5x+9 = 5*4+9 = 20+9 = 29

Both angles A and C are 29 degrees each, so this confirms we have the correct x value.

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The last step is to use the fact that all three angles of a triangle add to 180 degrees. This will help us find angle B, which is the vertex angle.

A+B+C = 180

29+B+29 = 180

B+58 = 180

B = 180-58

B = 122

The vertex angle is 122 degrees.

So we can say either angle B = 122, or we could say angle ABC = 122

"angle ABC" is the same as "angle CBA".

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3 years ago

The area of triangle ABC is _____.

Marizza181 [45]

I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
SEE ATTACHED IMAGE.
Using Heron's Formula we can find the area of the triangle.
A = root (s (s-a) * (s-b) * (s-c))
s = (a + b + c) / 2
Where,
s: semi-perimeter
a, b, c: sides of the triangle
Substituting values:
s = (15 + 16 + 20) / 2
s = 25.5
s = 26
The area will be:
A = root (26 * (26-15) * (26-16) * (26-20))
A = 130.9961832
A = 130 u ^ 2
Answer:
The area of triangle ABC is:
C.
130 u ^ 2