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Galina-37 [17]
3 years ago
7

In ANOP, NP is extended through point P to point Q, mZPNO = (x + 14),

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0

Answer:

Step-by-step explanation:

m∠OPQ = 23°

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Leah makes an origami photo frame to showcase her favorite family picture. The size
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Answer:

28 feet

Step-by-step explanation:

3.5 x 8 = 28

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3 years ago
Drag the tiles to list the sides of △MNO from shortest to longest.
sweet [91]

The smaller the angle subtended by a side, the smaller the length of the

side.

The correct responses are;

Question 1: The list of sides from shortest to longest are;

  • MO/Shortest MO/Medium and MO/Longest

a) <u>Friday</u>

b) <u>70 minutes</u>

c) <u>40%</u>

d) Yes<u>,</u> <u>the sum of the </u><u>mean</u><u> number of </u><u>minutes spent</u><u> on </u><u>aerobic</u><u> training and the mean number of minutes spent on </u><u>strength</u><u> training is equal to the mean </u><u>total</u><u> number of minutes spent </u><u>training.</u>

From the given diagram, we have, the measure of the third angle, ∠O, is

found as follows;

∠O = 180° - 54° - 61° = 65°

Therefore, ∠O = The largest angle

We get;

The longest side is opposite the largest angle, which gives;

The shortest side is the side opposite ∠N (54°)= \frac{}{MO}

The next shortest side is the side opposite ∠M(61°) = \frac{}{NO}

The longest side is the side opposite ∠O(65°) = \frac{}{MN}

a) The time spent training on Tuesday = 60 + 10 = 70 minutes

The time spent training on Thursday = 50 + 30 = 80 minutes

The time spent training on Friday = 45 + 40 = 85 minutes

Therefore, the day the athlete spent the longest total amount of time training is on <u>Friday</u>

b) The time spent training on Monday = 10 + 20 = 30 minutes

The time spent training on Wednesday = 20 + 15 = 35 minutes

Therefore, we get;

30, 35, 70, 80, and 85

The median total number of minutes the athlete spent training each day = <u>70 minutes</u>

<u />

c) The time spent strength training = 20 + 10 + 15 + 30 + 45 = 120

The total number of minutes the athlete spent training = 70 + 80 + 85 + 30 + 35 = 300

The  percentage spent on strength training = \frac{120}{300} × 100 = \frac{40}%

d) The mean number of minutes spent on strength training is found as follows;

Mean_{strength} =\frac{120}{5} =24

The mean number of minutes spent on aerobic training is found as follows;

Mean_{aerobic} =\frac{10+60+20+50+40}{5} =36

Mean_{strength} +Mean_{aerobic} =24+36=60

The mean total number of minutes spent training, Mean_{total} = \frac{300}{5} = 60

Therefore;

  • Mean_{strength}+Mean_{aerobic} = Mean_{total} \\

Learn more here:

brainly.com/question/2962546

4 0
2 years ago
70 + x + 55 + 30 = 180
sergiy2304 [10]

Answer:

x=25

Step-by-step explanation:

First, we add all like terms. Then, we solve for x.

70+x + 55 + 30 = 180\\x+70 + 55 + 30 = 180\\x+155=180\\x=25

We can rearrange some things because order does not matter with addition. Next, we just use basic equation solving techniques.

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3 years ago
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Several people are standing in line. Starting at 1 end, Santa is the 3rd person. Starting at the other end, he's the 11th person
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there are 13 people in line

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2 years ago
Caleb's grade was changed by -18 points
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Answer:

6.

Step-by-step explanation:

If each assignment is worth -3, you can divide 18 (amount of points changed) by 3 (each assignment's affect) to get 6.

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2 years ago
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