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3 years ago

Lines g, h, and l are parallel and m ∠ 1 = 52°. What is m ∠ 11?

2 answers:

6 0

M∠1 and m∠4 are equal because they are vertical.
m∠4 and m∠ 8 are equal because they are corresponding.
m∠8 and m∠12 are equal because they are corresponding.
m∠12 and m∠11 are supplementary, so the m∠11 must be equal to 128 degrees.

masha68 [24]3 years ago

4 0

Is there not a picture that goes with this question?

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A train stops at Atlanta, then at Bayville, and then at Colleyville. The

Nezavi [6.7K]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as what is required of the question is not stated.

However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.

Represent the distance from Atlanta to Colleyville with AC

Represent the distance from Atlanta to Bayville with AB

Represent the distance from Bayville to Colleyville with BC

So, we have that:

$AC = 25.5\ miles$

$AB = 10\frac{2}{3}\ miles$

The relationship between AB, AC and BC is:

$AC = AB + BC$

Make BC the subject of formula:

$BC = AC - AB$

$BC = 25.5 - 10\frac{2}{3}$

Convert fraction to decimal

$BC = 25.5 - 10.7$

$BC = 14.8$

Hence, the distance from Bayville to Colleyville is 14.8 miles

3 0

3 years ago

Triangle TRS is similar to triangle TMN. Angle T = 40°, angle R = 60°, and angle S = 80° . What is the measure of angle M

Andre45 [30]

Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

Hence if triangle TRS is similar to triangle TMN, then;

<R = <M and <S = <N

Given that;

<T = 40 degrees

<R = 60degrees

<S = 80 degrees

Since <R = <M, then <M = 60degrees

7 0

2 years ago

A sled is being pulled across a floor by two ropes such that the angle between them is 40°. If the forces on the ropes are 100 p

Dafna1 [17]

Answer:

option 4 ⇒ 236 lb.

Step-by-step explanation:

Best explanation of the question is as shown in the attached figure.

we will use the parallelogram method to calculate resultant force.

to get the length of the resultant force ⇒ use the cosines law

The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)

Applying at the question where b = F₁ , c = F₂ and ∠A = ∠x

Given that F₁ = 100 pounds , F₂ = 150 pounds and ∠x = 180° - 40° = 140°

∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481

∴ Resultant force = √55481 = 235.54 ≅ 236 pounds

The answer is option 4 ⇒ 236 lb.

8 0

3 years ago

Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write wit

SCORPION-xisa [38]

Answer:

Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

Step-by-step explanation:

We are given the following hypothesis below;

Let p = proportion of people who write with their left hand

So, Null Hypothesis, $H_0$ : p = 0.22 {means that the proportion of people who write with their left hand is equal to 0.22}

Alternate Hypothesis, $H_A$ : p $\neq$ 0.22 {means that the proportion of people who write with their left hand is different from 0.22}

Now, Type I error states that we conclude that the null hypothesis is rejected when in fact the null hypothesis was actually true. Or in other words, it is the probability of rejecting a true hypothesis.

So, in our question; Type I error is to Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29.

Type II error states that we conclude that the null hypothesis is accepted when in fact the null hypothesis was actually false. Or in other words, it is the probability of accepting a false hypothesis.

So, in our question; Type II error is Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is different from 0.29.

4 0

2 years ago

A student flips a fair coin 6 times. Answer the following questions: 1. Suppose that after flipping the coin all six times the e

VashaNatasha [74]

Answer:

1. 7 outcomes.

2. 64 outcomes.

3. D and H

Step-by-step explanation:

1. The experimenter will record the total number of heads after flipping the coin 6 times, therefore, the possible outcomes are: the experimenter got 0 heads, the experimenter got 1 head,..., the experimenter got 6 heads. Therefore there are 7 possible outcomes: (0, 1, 2, 3, 4, 5, 6).

2. If the experimenter records the result after each flip (H or T), for the first flip she has 2 results (heads or tails), for the second one she has 2 results, same for the third, fourth, fifth and sixth flip.

Therefore the possible outcomes are: $(2)(2)(2)(2)(2)(2)=2^{6}=64$ .

3. Now the experimenter will end up the experiment earlier if she gets two tails or two heads in a row.

A.TTHTT is not possible because in this case she would've ended up the experiment after the second flip since she got two tails.

B.TTH is not possible either for the same reason.

C. HT is not possible because she still needs to get another T or two H in a row.

D. This is a possible outcome because in this one she flipped the coin 6 times and she didn't get two heads or two tails in a row so she didn't finish it earlier.

E. Is not possible because she should've stopped after the second flip.

F. Is not possible because it has 7 letters, therefore, 7 flips.

G. Is not possible because she should've stopped once she got heads in the fourth and fifth flip.

H. Is possible because she got heads in the second and third flip.

6 0

2 years ago