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Ronch [10]
3 years ago
8

Solve. Justify your responses. a Given:a║b and c║d, m∠ 4=35° Find: m∠1, m∠2, and m∠3

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

<em>m∠1 =  90°</em>

<em>m∠2 = 35°</em>

<em>m∠3 = 55°</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

m

Given that <4 = 35°

m

The sum of the angle on a straight line at point A is 180°. Hence:

90+m

The sum of angle in the triangle ABC is 180°, hence;

m

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Answer:

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Step-by-step explanation:

V=LWH/3

V=(3)(3)(4.5)/3

V=13.5 in^{2}

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6 0
3 years ago
Read 2 more answers
PLEASE HELP!
Luden [163]
To find the approximate volume that was released you will find the volume of the sphere before and after the water was released and subtract them.  Use the formula for finding the volume of a sphere to do this.

Before:  

V=4/3 x pi x r^3
    4/3 x 3.14 x 4.5^3
V = 381.51 cubic inches

After:

V=4/3 x pi x r^3
    4/3 x 3.14 x 3.6^3
V = 195.33 cubic inches

381.51 - 195.33 = 186.18 cubic inches


The answer is choice B.

5 0
3 years ago
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Whitepunk [10]

Answer:

6. C. 16.64 km

7. B. P 216.00

8. B. P 565 425

9. C. 0.27

10. D. 24.6875

11. B. 3 kg

12. B. ratio

13. A. Proportion

14. D. 6:10

15. B. 2:3

Step-by-step explanation:

6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?

Speed = 5.12km/hr

Time = 3.25 hr

To find the distance;

Distance = speed * time

Distance = 5.12 * 3.25

Distance = 16.64 km

7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?

Quantity = 48 pencils

Cost price = P 4.50

To find the total selling price;

Total = quantity * cost price

Total = 48 * 4.50

Total = P 216

8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they

pay?

Quantity = 125.65 m²

Cost price = P 4500

Total price = 125.65 * 4500

Total price = P 565425

9. What is 2.7/10 = 0.27

10. What is 98.75/4 = 24.6875

11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar

contain?

Mass = 63 kg

Amount = 21 jars

Each jar = 63/21 = 3 kg

12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

13. Proportion: It is a statement that two ratios are equal.

14. What ratio is equal to 3:5?

We would multiply both ratio by 2

3:5 * 2 = 6:10

15. What ratio is proportional to 4:6?

We would divide both ratio by 2

4:6 / 2 = 2:3

7 0
3 years ago
Use the image to answer questions 6-7.
zepelin [54]

Answer:

x = 22

y = 24

Step-by-step explanation:

110 and 5x are equal to each other because they are vertically opposite of each other.

110 = 5x; divide 5 on both side; x = 22

a line is 180 degrees, so if we use angle 110 with 3y-2, then 3y-2 must equal 70 (180 - 110).

70 = 3y - 2; add 2 to both sides

72 = 3y; divide 3 on both sides; x =24

6 0
3 years ago
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