MATHEMATICS HIGH SCHOOL

The measure of angle BAC is 77 and the measure of angle ACD is 127, what is the measure of angle ABC?

Answers

Answer 1

Answer:

Answer:

The measure of angle ABC is 50°

Step-by-step explanation:

step 1

Find the measure of angle ACB

we know that

∠ACB+∠ACD=180° ----> by supplementary angles

see the attached figure to better understand the problem

∠ACB=180°-127°=53°

step 2

Find the measure of angle ABC

we know that

The sum of the interior angles of a triangle must be equal to 180 degrees

∠ABC+∠ACB+∠BAC=180°

substitute the given values

∠ABC+53°+77°=180°

∠ABC=180°-130°=50°

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Answers

Answer:

The graph is not a function of x because the line x = 0 intersects the graph at two points.

Step-by-step explanation:

This graph is not a function because it fails the vertical line test, since several vertical lines would intersect the graph at 2 points.

This answer choice is correct, as the line x = 0 intersects the graph at 2 points, (0, 2) and (0, -2).

Answer:

Step-by-step explanation:

How many solutions?
1
2
3
0

Answers

Answer:

The number of solutions of the system is 0

Step-by-step explanation:

we know that

When solving a system of equations by graphing, the solution of the system is equal to the intersection point both graphs.

In this problem the graphs do not intersect

therefore

The number of solutions of the system is 0

In the above figure, ∠AOB = 80°. What does ∠ACB equal?

Answers

No diagram was provided but using the one retrieved from another source, we have a circle with a center O. Points A, B, and C are assigned around the circle. This means that ∠AOB forms a central angle. That means AB is equal to 80° as well. Now, ∠ACB forms an inscribed angle with arc AB. Recall that the value of the inscribed angle is half of the measurement of the arc. Since AB is 80°, then ∠ACB is (80/2) = 40°. Therefore, the answer is 40°.

The graph represents a function:In which part of the graph is the function increasing?

Part A
Part B
Part C
Part D

Answers

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a. True
b. False

Answers

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Answers

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3.       When I start reading I can’t stop
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