All categories

3 years ago

B

Mathematics

1 answer:

Lesechka [4]3 years ago

8 0

Answer:

D. 39°

Step-by-step explanation:

mAB = (3x + 9°)

mCD = (11x – 71)

From the diagram: |AB|=|CD|

Since arcs AB and CD are subtended by a chord of equal length.

mAB=mCD

3x + 9°=11x – 71°

Collect like terms to solve for x

11x-3x=9°+71°

8x=80°

x=10°

Therefore, the measure of AB:

mAB = (3x + 9°)

=3(10)+9

=30+9

=39°

The correct option is D.

You might be interested in

Which of the following is a factor of x4 + 5x3 - 4x2 - 8x + 6? <br> 2x+3<br> x-1<br> 2x-3<br> x+1

muminat

Answer:

x + 1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the equation of the line that passes through the points (–2, 2) and (0, 5)?

lana66690 [7]

Answer:

The equation of line is given by

$y=\frac{3}{2}x+5$

Step-by-step explanation:

We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.

Let us first find the slope of the line using the formula

$m=\frac{y_2-y_1}{x_2-x_2}$

On substituting the values, we get

$m=\frac{5-2}{0+2}$

$m=\frac{3}{2}$

Now, using the point slope form, the equation of line is given by

$y-y_1=m(x-x_1)\\y-2=\frac{3}{2} (x+2)\\\\y-2=\frac{3}{2}x+3\\\\y=\frac{3}{2}x+5$

Therefore, the equation of line is given by

$y=\frac{3}{2}x+5$

6 0

4 years ago

Read 2 more answers

Find four consecutive positive integers such that the product of the first and fourth is four less than twice the first multipli

r-ruslan [8.4K]

Four consecutive integers... n, n+1, n+2, n+3.

The product of the 1st and 4th is four less than twice the 1st multiplied by the 4th.

n(n+3)=2n(n+3)-4 perform indicated multiplications...

n^2+3n=2n^2+6n-4 subtract n^2 from both sides

3n=n^2+6n-4 subtract 3n from both sides

n^2+3n-4=0 factor

n^2-n+4n-4=0

n(n-1)+4(n-1)=0

(n+4)(n-1)=0, and since n>0

n=1

So the four numbers are 1, 2, 3, 4

check...

1(4)=2(1)4-4

4=8-4

4=4

3 0

3 years ago

Find the x intercept and y intercept of the graph of the equation. 5x+4y=20

Andrej [43]

5x + 4y = 20

4y = 20 - 5x

y = 20/4 - 5/4x

y = 5 - 5/4x

The x intercept is when y = 0

0 = 5 - 5/4x

5/4x = 5

x = 4.5/5

x = 4

The y intercept is when x = 0

y = 5 - 5/4x

y = 5 - 5/4.0

y = 5

7 0

4 years ago

If y varies directly with x when y=1/3 and x = 12, find x if y is 4.

Nikitich [7]

Answer:

x = 144

Step-by-step explanation:

y α x

we introduce a constant 'k' when changing from α to =.

i.e y = kx

y = ⅓ when x = 12

Meaning, ⅓ = k * 12

⅓ = 12k

k = ⅓ ÷ 12

k = 1/36

If y = 4, x = ?

using the equation y = kx

4 = (1/36)x

x = 4 ÷ (1/36)

x = 4 * 36

x = 144

6 0

4 years ago