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ki77a [65]
3 years ago
9

Mr. Gomez needs to rent a moving truck. Company "A" charges $75 plus a $50 a day and Company "B" charges $105 plus $35 a day. Wr

ite an equation that can tell after how many days would the price be the same.
Mathematics
1 answer:
AlekseyPX3 years ago
8 0

Answer: 75+50x= 105+35x , required equation.

Step-by-step explanation:

Let x = Number of days

Given:  Company "A" charges $75 plus a $50 a day.

Total charge = 75+50x

Company "B" charges $105 plus $35 a day.

Total charge = 105+35x

When both are same , equation becomes

75+50x= 105+35x

So, Required equation: 75+50x= 105+35x

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A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the
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Answer:

The measure of the third arc is 150\°

Step-by-step  explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

42\°=\frac{1}{2}(x-y)

84\°=(x-y) ----> equation A

\frac{x}{y}=\frac{7}{3}

x=\frac{7}{3}y -----> equation B

Substitute equation B in equation A and solve for y

84\°=(\frac{7}{3}y-y)

84\°=(\frac{4}{3}y)

y=3*84\°/4=63\°

Find the value of x

x=\frac{7}{3}(63\°)=147\°

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

x+y+z=360\° -----> complete circle

substitute the values and solve for z

147\°+63\°+z=360\°

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For art class, each student
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Answer:

s=25

Step-by-step explanation:

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