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3 years ago

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Mathematics

2 answers:

sweet-ann [11.9K]3 years ago

8 0

Answer:

h = 40°

Step-by-step explanation:

These 2 angles are congruent due to the Corresponding Angles Theorem.

Sedbober [7]3 years ago

4 0

Answer:

40°

Step-by-step explanation:

The lines are parallel. We know this because of the 2 arrows that are on the lines, indicating they are parallel.

Therefore, the 2 angles are congruent by the Corresponding Angle Theorem.

So, we can set the 2 angles equal to each other.

40=h

Therefore, angle h is 40 degrees.

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Ruth contributes 18% of the total cost of her individual health care. This is $67.50

ololo11 [35]

Answer:

9000

Step-by-step explanation:

67.50 x 2 x 12 = 1620 (deduction for the whole yr)

1620 / 18 x 100 = 9000

8 0

3 years ago

What is the y-intercept? (20,0) 0 (0, 18) (18,0) O (0,20)

Y_Kistochka [10]

The answer is (0,18)

4 0

3 years ago

Point O is the center of the circle. What is the value of X? Answer options: 24, 15, 27, 20

Tanya [424]

Answer: FIRST OPTION

Step-by-step explanation:

To solve this problem you must apply the Intersecting Secant-Tangent Theorem. By definition, when a secant line and a tangent lline and a secant segment are drawn to a circle from an exterior point:

$(Tangent\ line)^2=(Secant\ line)(External\ Secant\ line)$

The total measure of the secant shown is:

$18+Diameter$

If the radius is 7, then the diameter is:

$D=7*2=14$

Therefore:

$Secant\ line=18+14=32$

You also know that:

$External\ Secant\ line=18\\Tangent\ line=x$

Keeping the above on mind, you can substitute values and solve for x:

$x^{2}=32*18$

$x=\sqrt{576}\\x=24$

4 0

3 years ago

From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

$\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}$

Hence, the correct option is D. 2/7

6 0

3 years ago

Which angles are corresponding angles?

konstantin123 [22]

Answer:

A. 7 and 3

B. 1 and 5

Step-by-step explanation:

Corresponding angles are a pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.

The answers are:

•8 and 4

•5 and 1

•7 and 3

•6 and 2

I hope this helps! I'm sorry if it's wrong.

3 0

3 years ago