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4 years ago

Find x [Angles and Segment]

Mathematics

1 answer:

Alex_Xolod [135]4 years ago

6 0

Answer:

8.3 cm

Step-by-step explanation:

The product of lengths to the near and far point of intersection with the circle is the same in all cases:

(7 cm)(7 cm) = (y)(11 cm +y) = (4 cm)(4 cm +x)

Since we're only interested in x, we can divide by 4 and subtract 4:

49 cm² = (4 cm)(4 cm +x)

(49/4) cm = 4 cm +x . . . . . . divide by 4 cm

8.25 cm = x . . . . . . . . . . . . . subtract 4 cm

To the nearest tenth, x = 8.3 cm.

_____

For a tangent segment, the two points of intersection with the circle are the same point, so the product of lengths is the square of the length.

___

The angles depend on the size of the circle, which is not given.

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The fee for a service call from a plumber can be modeled with the function C(h)= 75 + 20h, where C is the total cost of the serv

Lynna [10]

Answer:

20 ; $135 ; service charge for 3 hours spent is $135

Step-by-step explanation:

Given that :

Service fee equation model :

C(h)= 75 + 20h

C = total cost of the service call

h = number of hours the plumber spends working on the problem

The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours

bx = 20h

b = 20

Charge per hour = 20

C(3) = 75 + 20(3)

75 + 60 = 135

This means that total service call charge for a plumber who spends three hours fixing a problem is $135

6 0

3 years ago

The area of the rectangle is 54 units squared. Write and solve an equation to find x.

lord [1]

Answer: $x=5$

Step-by-step explanation:

The area of a rectangle can be found with the following formula:

$A=lw$

Where "l" is the length and "w" is the width.

In this case you can identify in the figure given in the exercise that:

$l=4x-2\\\\w=3$

You know that the area of that rectangle is the following:

$A=54$

Therefore, knowing those values, you can substitute them into the formula and then you must solve for "x" in order to find its value. You get that this is:

$54=(4x-2)(3)\\\\54=12x-6\\\\54+6=12x\\\\\frac{60}{12}=x\\\\x=5$