Find the m Answer is in degrees

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

These angles are known as corresponding angles and when added up, they must be equal. So, let's set them equal to that, so we can solve for x, and then angle ABC:

$2x+46=3x-2$

$46=x-2$

$x=48$

Find ABC:

$2(48)+46 = 142$

As per to my calculations, ∠ABC = 142°.

You might be interested in

HELPP!!! BRAINLYESTTTTT!!!!!! GRAPH THE FUNCTION:

Roman55 [17]

Answer:

Step-by-step explanation:

We are given the function f(x) = -3/4(x) +6.

We know that the slope intercept form of a line is y = mx + b

Here, the slope m = -3/4.

The y-coordinate of the y intercept is b = 6 so the y-intercept is at the point (0,6) [x is always 0 at the y-intercept]

If you have to points you can graph the line, we only have the point (0,6).

To find the second point we use the slope.

We add the bottom point of the slope to the x coordinate of the y-intercept and we add the top part of the slope to the y coordinate of the y-intercept, so our second point is (0 + 4, 6 +(-3)) = (4, 3).

You then plot the points we have: (0,6) and (4,3) and draw the line through them.

Download pdf

5 0

3 years ago

What is 2/3, 7/6, 3 1/9, and 5 5/18 written as a decimal?

Paul [167]

Step-by-step explanation:

$\frac{2}{3} = 2 \times \frac{1}{3} = 2 \times 0.333 = 0.666 \\ \\ \frac{7}{6} = 7 \times \frac{1}{6} = 7 \times \frac{1}{2} \times \frac{1}{3} = 7 \times 0.5 \times 0.333 = 1.1655 \\ \\ 3 \frac{1}{9} = 3 + \frac{1}{9} = 3 + ( \frac{1}{3} \times \frac{1}{ 3} ) = 3 + (0.333 \times 0.333) = 3 \times 0.11088 = 3.11088 \\ \\ 5 \frac{5}{18} = 5 + (5 \times \frac{1}{18} ) = 5 + (5 \times \frac{1}{3} \times \frac{1}{3} \times \frac{1}{2} ) = 5 +(5 \times 0.333 \times 0.333 \times 0.5) = 5 + 0.27722 = 5.27722$