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Anton [14]
3 years ago
8

Please help!

Mathematics
1 answer:
loris [4]3 years ago
8 0

m∠B = 33° is the answer.

<u>Step-by-step explanation:</u>

If two triangles ΔABC and ΔMOP are similar,  then their corresponding angles are congruent.

In any triangle, sum of the measure of the angles add up to 180°.

∠A+ ∠B+ ∠C = 180°

∠A  ≅ ∠M

∠B ≅ ∠O

∠C ≅ ∠P

So we can add as,

∠A + ∠B+ ∠P = 180°

45° + ∠B + 102° = 180°

∠B + 147° = 180°

∠B = 180° - 147° = 33°

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A parallelogram has one angle that measures 135 degrees. What are the measures of other three angles in the parallelogram?
geniusboy [140]

Answer:

The measure of other three angles are 135° , 45° and 45°

Step-by-step explanation:

The opposite angles of a parallelogram are equal.

So if we consider a parallelogram ABCD ,

Angle A = Angle C

Angle B = Angle D

If we take angle A = 135° then angle C = 135°

SUM OF INTERIOR ANGLES OF A QUADRILATERAL IS 360°.

A+B+C+D=360°

135°+B+135°+D=360°

270°+B+D=360°

But B=D

So,2B=90°

B=45°

D=45°

So A = C = 135°

A = C = 135° B = D = 45°

A = C = 135° B = D = 45°

Read more on Brainly.in - https://brainly.in/question/15571497#readmore

6 0
2 years ago
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TiliK225 [7]

Step-by-step explanation:

This is a right triangle with two congruent angles. so this is a isoceles right triangle or called a

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3(x + 2)  = 24

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4 0
3 years ago
The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h
bezimeni [28]

Answer:


Step-by-step explanation:

let they travel the distance between them alone

d = common distance traveled by both motorcycle and car = 540 miles

t_{m}= time taken by motorcycle to travel distance between them

v_{m} = speed of the motorcycle = 48 mph

time taken by motorcycle to travel distance between them is given as

t_{m}= d/v_{m}

t_{m}=540/48

t_{m}= 11.25 h



t_{c}= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h

v_{m} = speed of the motorcycle

speed of motorcycle is given as

v_{m} = d/t_{m}

v_{m} = 540/9

v_{m} = 60 mph


when the car and motorcycle move towards each other, the relative speed is given as

v = v_{m} + v_{c}

v = 60 + 48

v = 108 mph

t = time taken to meet

Time taken to meet is given as

t = d/v

t = 540/108

t = 5 h

7 0
3 years ago
Madison needs to buy a new laptop for her music production. She borrows $2,100 and must pay the money back in equal amounts for
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Answer:

304

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