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Likurg_2 [28]
3 years ago
5

Given: m arc AB = 4x, m arc BC = 3x m arc CD = 2x, m arc DA = 3x Find: m∠APB

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
5 0

Answer:

m<APB = 30 degrees

Step-by-step explanation:

The sum of angles in a circle is 360 degrees. Add up all the arcs to get the equation : 4x+3x+2x+3x=360 degrees.

x is equal to 30 degrees

m arc AB = 4x = 120 degrees

m arc DC = 2x = 60 degrees

By secants exterior angles, m<APB = 1/2(m arc AB - m arc DC) = 1/2(120-60) = 30 degrees.

The answer is m<APB = 30 degrees

Vitek1552 [10]3 years ago
3 0

Answer:

a > m/bp

Step-by-step explanation:

flip the equation

abp > m

divide both sides with bp

abp/bp > m/bp

a > m/bp

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The height of a trapezoid is 6 in. and it’s area is 72 in to the 2nd power. One base of the trapezoid is 6 inches longer than th
Vitek1552 [10]

Given:

The height of the given trapezoid = 6 in

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Also given, one base of the trapezoid is 6 inches longer than the other base

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Formula

The area of the trapezoid is

A=\frac{1}{2} (b_{1} +b_{2} )h

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b_{2} be the longer base

As per the given problem,

b_{2}=b_{1}  +6

Now,

Putting, A=72, b_{2}=b_{1}+6 and h=6 we get,

\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72

or, b_{1}+b_{1}+6 = \frac{(72)(2)}{6}

or, 2b_{1}+6 = 24

or, 2b_{1}=24-6

or, b_{1}= \frac{18}{2}

or, b_{1}=9

So,

The shorter base is 9 in and the other base is = (6+9) = 15 in

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One base is 9 inches for one of the bases and 15 inches for the other base.

5 0
3 years ago
Jim’s Gym has an initial fee of $300 to join the gym and then charges $3 per visit. Sally’s Salon has an initial fee of $250 and
aksik [14]

The system of equation is y = 300 + 3x and y = 250 + 5x and  the number of visits is 25

<h3>The system of equations </h3>

The given parameters are:

<u>Jim's Gym</u>

  • Initial fee = $300
  • Charges = $3 per visit

<u>Sally's Salon</u>

  • Initial fee = $250
  • Charges = $5 per visit

The equation is calculated as:

Total (y) = Initial * Charges * Number of visits (x)

So, the system of equation is

y = 300 + 3x

y = 250 + 5x

<h3>Number of visits before the plans are equal</h3>

We have:

y = 300 + 3x

y = 250 + 5x

Substitute y = 300 + 3x in y = 250 + 5x

300 + 3x = 250 + 5x

Evaluate the like terms

-2x = -50

Divide by -2

x= 25

Hence, the number of visits is 25

Read more about system of equations at

brainly.com/question/12895249

#SPJ1

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2 years ago
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When the weight of apples is increased by a factor of 4, by what factor does the total cost increase?
Hitman42 [59]

Answer:

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