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3 years ago

Find all missing angles.

Mathematics

1 answer:

MaRussiya [10]3 years ago

6 0

Answer:

m∠1 = 51°

m∠2 = 18°

m∠3 = 123°

m∠4 = 39°

m∠1 = 51°

m∠2 = 34°

m∠3 = 95°

m∠4 = 38°

m∠5 = 47°

m∠6 = 74°

m∠7 = 59°

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The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

Delicious77 [7]

The width of rectangle is $2\frac{1}{4}\ cm$ and length is $5\frac{5}{12}\ cm$

Step-by-step explanation:

Let,

Width of rectangle = w

Length of rectangle = w+ $3\frac{1}{6}=w+\frac{19}{6}$

Perimeter of rectangle = $15\frac{1}{3}=\frac{46}{3}\ cm$

Perimeter of rectangle = 2(Length + Width)

$2(w+\frac{19}{6}+w)=\frac{46}{3}\\2(2w+\frac{19}{6})=\frac{46}{3}\\4w+\frac{19}{3}=\frac{46}{3}$

Subtracting $\frac{19}{3}$ from both sides

$4w+\frac{19}{3}-\frac{19}{3}=\frac{46}{3}-\frac{19}{3}\\4w=\frac{46-19}{3}\\4w=\frac{27}{3}\\4w=9$

Dividing both sides by 4

$\frac{4w}{4}=\frac{9}{4}\\w=\frac{9}{4}$

Therefore,

Width of rectangle = w = $\frac{9}{4}=2\frac{1}{4}$ cm

Length of rectangle = $w+\frac{19}{6}=\frac{9}{4}+\frac{19}{6}=\frac{27+38}{12}=\frac{65}{12}=5\frac{5}{12}\ cm$

The width of rectangle is $2\frac{1}{4}\ cm$ and length is $5\frac{5}{12}\ cm$

Keywords: perimeter, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago

Look at this I really need help with this

Anettt [7]

$y = 7500 {(.97)}^{0} \\ = 7500(1) \\ = 7500$
D

6 0

3 years ago

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den301095 [7]

Answer:

x = 65

Step-by-step explanation:

Angles are equal because of the vertical angle thm

2x + 15 = 145

2x = 130

x = 65

7 0

3 years ago

It takes 4 1/2 cups of cherries to make a cherry pie. Russell wants to make 4 cherry pies. How many cups of cherries will Russel

atroni [7]

Answer:

18 cups.

Step-by-step explanation:

Multiply 4.5 by 4.

3 0

3 years ago

On a windy day, a 90 foot rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depres

Alborosie

Answer:

79 ft

Step-by-step explanation:

Balloon - B, stake - S, point at ground - G

<u>Given:</u>

BS = 90 ft
m∠BSG = 62°
BG = x

<u>Use sine and solve for x:</u>

BG/BS = sin ∠BSG
sin 62° = x / 90
x = 90 sin 62 deg
x = 79 ft (rounded)

4 0

3 years ago