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sergey [27]
2 years ago
14

1. Circles and segments create the many relationships addressed in the theorems throughout this unit. Use those theorems and the

information given for the following diagram to find each indicated measure. Show all your work. Note that the importance of justifications for your answers is equal to or greater than the importance of simply the answers in the earning of points.

Mathematics
1 answer:
jeyben [28]2 years ago
8 0
(a) m<IJK = 90 since segment IK is a diameter
(b) KI = 10 since since LM = KM = KI = 5. The 3 segments are radii.
(c) EP * PL = OP * PF; EP = 2
(d) m<OFH = 178/2 = 89; inscribed angle is half measure of intercepted arc
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The cost to manufacture t shirts can be represented by the function c(x)=10.5x complete the following statement about the functi
Advocard [28]

For this case we have:

Cost of manufactures of T-shirts C(x)=10.5x

where x represents the number of T-shirts

Part A:

Substituting x = 8 in the total cost equation you have to:

C (8) = (10.5) (8)\\\\C (8) = 84\\

Thus, the cost of 8 shirts will be C (8) = 84\\

Part B:

If x = 12 then

C (12) = (10.5) (12)\\\\C (12) = 126\\

Thus, the cost of 12 shirts will be C (12) = 126\\

Answer:

C (8) = 84\\\\C (12) = 126\\\\


8 0
3 years ago
Read 2 more answers
Samantha and her children went into a movie theater and will buy bags of popcorn and candies. Each bag of popcorn costs $6 and e
Juliette [100K]

Multiply the price of popcorn by the number of bags so 6b.

Multiply the price of candy by the number bought, so 3.25c

Add those together to get total :

6b + 3.25c

Now the most she can spend is 50 so set the equation to less than it equal to what she can spend:

6b + 3.25c <= 50

3 0
3 years ago
write the equation in slope intercept form of the line that passes through -1, 11 and is parallel to the graph of y = -8x + 3
lawyer [7]
<h2>Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>

<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

                 ⇒  if the slope of this line = - 8

                      then the slope of the parallel line (m) = - 8

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 11  =  - 8 (x - (-1))                                

                                ∴  y - 11  = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                      since   y - 11  = - 8 (x + 1)

                                        y  = - 8 x  + 3

The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

5 0
2 years ago
Evaluate the expression for w = -1.<br> -6W2 + 13w + 21 =<br> Submit
skelet666 [1.2K]

Answer:

2

Step-by-step explanation:

In this case, you have to substitute the w for -1, and then do the operation:

-6( -1 )^2 + 13( -1 ) + 21

-6( 1 ) - 13 +21

-6 -13 + 21

-19 + 21

2

6 0
3 years ago
Ms. Medina's math class has 15 students in total. In her class 9 of the students are boys. Which
PIT_PIT [208]

Answer:

6

Step-by-step explanation:

15 - 9

6 0
2 years ago
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