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2 years ago

A rectangle's perimeter is 92 ft. Its length is 5 ft shorter than two times of its width. Use an equation

Mathematics

1 answer:

Setler79 [48]2 years ago

3 0

2 x ( 2w - 5 ) + 2 x w = 92

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What is the measure of angle A?

fgiga [73]

Answer:

∠A=65º

Step-by-step explanation:

A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
Remove parenthesis, x+40+3x+10+180-6x=180
Combine like terms, -2x+230=180
Subtract 180, -2x=-50
Divide by -2, so x=25

Now:

∠CAB=(25+40)º=65º
∠ABC=[180-6(25)]º=30º
∠BCA=[3(25)+10]=85º

5 0

2 years ago

A circle is centered at the point (7,1) and passes through the point (8,7). what is the radius

Scorpion4ik [409]

Easy

the radius is the distance from the center to a point on the circle

we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D= $\sqrt{(x2-x1)^2+(y2-y1)^2}$

so the distance between point and center is radius
D= $\sqrt{(8-7)^2+(7-1)^2}$
D= $\sqrt{(1)^2+(6)^2}$
D= $\sqrt{1+36}$
D=√37 units

radius is √37 units

7 0

3 years ago

1/2 divided by 2/3 =

Sergio039 [100]

3/4. Keep change flip. 1/2 x 3/2 = 3/4

5 0

2 years ago

5 baseballs to 25 softballs in simplest form

sashaice [31]

Answer:

1/5

Step-by-step explanation:

5 baseballs to 25 softballs

1 baseballs to 5 softballs in simplest form

5 0

3 years ago

Read 2 more answers

Emma is taking out a loan in the amount of $25,000. Her choices for the loan are a 60-month loan at 5% annual simple interest an

My name is Ann [436]

Answer:

The answer is $2750. Which is the difference in the amount of interest Emma would have to pay for these two loans

Step-by-step explanation:

Interest=( P× r × t)/100

60 months is converted to 5years(60/12=5)

Interest= (25000 × 5 × 5) /100

= $6250

72months is converted to 6 years(72/12=6 Years)

Interest=( P× r × t)/100

= (25000 × 6 × 6)/100

=$ 9000

The difference in the interest= $9000- $6250

= $ 2750

5 0

2 years ago