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spin [16.1K]
3 years ago
7

Find the values of the variables, giving brief reasons for your answers.

Mathematics
1 answer:
Yuki888 [10]3 years ago
4 0

Answer:

55

Step-by-step explanation:

Because of the parallel lines (marked by those arrows) we know that the corner angles are the same:

110 - x = x so

110 = 2x

55 = x

You might be interested in
Which statement is true about figures ABCD and A′B′C′D′? (1 point)
sladkih [1.3K]

Answer:

Step-by-step explanation:

A'B'C'D' is obtained by rotating ABCD 180° counterclockwise about the origin and then reflecting it across the x-axis.

A(2, -2) is mapped to A'(-2, -2)

B(1, -4) is mapped to B'(-1, -4)

C(0, -2) is mapped to C'(0, -2)

D(1, -1) is mapped to D'(-1, -1)

If we rotate counterclockwise 180°, every point (x, y) is mapped to (-x, -y):

A(2, -2) gets mapped to (-2, 2)

B(1, -4) gets mapped to (-1, 4)

C(0, -2) gets mapped to (0, 2)

D(1, -1) gets mapped to (-1, 1)

Reflecting these images across the x-axis will then map (x, y) to (x, -y):

(-2, 2) gets mapped to (-2, -2)

(-1, 4) gets mapped to (-1, -4)

(0, 2) gets mapped to (0, -2)

(-1, 1) gets mapped to (-1, -1)

These new coordinates are the same as A'B'C'D'.

3 0
2 years ago
The null hypothesis claims that the proportion of community college students who work full-time is 0. 45. The alternative hypoth
diamong [38]

The stronger the evidence is against the null hypothesis, the higher the divergence from it.

What do you mean by null hypothesis ?

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H_{0}. To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts employ the null hypothesis,

The null hypothesis states that the percentage of the population who works full time is 0.45.

As a result, 450 persons who are randomly selected from a population of 1000 work full-time.

A different hypothesis states that the ratio is higher than 0.45.

In the options provided, the proportion for the first option is 300/1000, or 0.3.

In the second choice, 500/1000 equals 0.5

Third alternative: 700/1000 = 0.7

Therefore, the stronger the evidence is against the null hypothesis, the higher the divergence from it.

To learn more about the null hypothesis from the given link.

brainly.com/question/15980493

#SPJ4

4 0
1 year ago
What is the answer plz tell me and not just say something random
yulyashka [42]

Answer:1/3+3/5 actually is 14/15 and 11/12-5/6 is 1/12

Step-by-step explanation:

8 0
3 years ago
Sophia Thompson is 12 years old. Her mother is 5 years less than four times as old as Sophia. How old is mrs. Thompson? Please e
Ugo [173]
Sophia is 12. Four times that is 48. If her mother is 5 years less than this, she is 43.

(12 x 4) - 5 = 43
7 0
3 years ago
Goat on a Rope
mariarad [96]

Answer:

the area of grass is 314 square feet

Step-by-step explanation:

The radius of the circle the goat can reach is given by the length of the rope that ties the goat to the post (10 ft)

Then the area of the circle is: Area=\pi\,R^2=3.14\,(10\,\,ft)^2=3.14 * (100)\,ft^2=314 \,\,ft^2

So the area of grass is 314 square feet

6 0
3 years ago
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