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3 years ago

What is the measure of angle ABC in the circle shown in the picture?

Mathematics

1 answer:

Fynjy0 [20]3 years ago

3 0

Answer:

45°

Step-by-step explanation:

I think you meant m<ACB, and from what I see here, I took half of 90°, which is 45°.

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Factor by grouping. Then supply the term that is missing below. 2mn-3m+8n-12=(m+4)(?-3) The missing term ? = _____.

Degger [83]

2mn - 3m + 8n - 12

Let's group the first two terms together and the last two:

2mn - 3m and 8n - 12

In the first group, m is the greatest common factor.

m(2n - 3)

In the second group, 4 is the greatest common factor.

4(2n - 3)

Therefore, (m + 4) and (2n - 3) are our factors. Our missing term is 2n.

4 0

4 years ago

Give the radian measure of an angle drawn in standard position that corresponds with the ray containing the coordinate point (−1

Sergeu [11.5K]

Answer:

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point $(-12, -3\sqrt{2})$ is approximately $1.108\pi$ radians.

Step-by-step explanation:

With respect to origin, the coordinate point belongs to the third quadrant, which comprises the family of angles from $\pi\,rad$ to $\frac{3\pi}{2}\,rad$ . The angle in standard position can be estimated by using the following equivalence:

$\theta = \pi\,rad + \tan^{-1} \left(\frac{3\sqrt{2}}{12} \right)$

$\theta \approx \pi \,rad + 0.108\pi \,rad$

$\theta \approx 1.108\pi\,rad$

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point $(-12, -3\sqrt{2})$ is approximately $1.108\pi$ radians.

5 0

3 years ago

Find the ordered pairs for the x- y-intercepts of the equation 9y−2x=18. x-intercept(0,2), y-intercept(−9,0) x-intercept(−9,0),

liq [111]

X intercept is the value of x when y=0, y intercept is the value of y when x=0
9y-2x=18
when x=0, y=2, so the y intercept is (0,2)
when y=0, x=-9, so the x intercept is (-9,0)

4 0

3 years ago

The number of hours that college students sleep on a week night is approximated by a normal curve with a mean of 7 hours and a s

Tanya [424]

The information above is shown in the normal distribution curve shown below

Step 1 : Find the z-score for 5 hours
$z= \frac{5-7}{1.7} =-1.18$ rounded to 2 dp

Step 2: Read the value of z-score on the z-table
As shown in the second picture, the value z at -1.18 is 0.1190

Step 3: The proportion can be written in percentage form which is 11.90% rounded to 12% to nearest whole number

5 0

4 years ago

EFGH is a parallelogram. Find the measure of FG and EG <br>

navik [9.2K]

Answer:

FG = 44

EG = 80

Step-by-step explanation:

For FG:

1) 5z - 16 = 3z + 8

2) 5z = 3z + 24

3) 2z = 24

4) z = 12

5) 3(12) + 8 = 44

For EG:

1) 2w + 22 = 4w + 4

2) 2w = 4w - 18

3) -2w = -18

4) w = 9

5) 4(9) + 4 + 2w + 22 = 80

7 0

3 years ago