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erica [24]
4 years ago
11

Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown below. What shou

ld be her next step in the construction?
Select one:

a. Connect vertex B to the arc markings to complete the angle bisector

b. Use a straightedge to find the angle bisectors for angles A and B

c. Connect three arc markings together to form the triangle

d. Use the arc markings to determine the radius to construct the circle

Mathematics
2 answers:
Naddik [55]4 years ago
6 0

Answer:

Option A

Step-by-step explanation:

Given that Cynthia Cynthia is constructing a circle inscribed in a triangle. She has partially completed the construction as shown in the picture

We know that in circle of any triangle has centre as the intersection of two angle bisectors of the triangle.

Hence what she started is drawing angle bisector of B.  By connecting vertex to the arc intersection, she can draw the angle bisector of B.

Continuing the same procedure for angle bisector for any other angle A or C she can find point of intersection as I incentre then draw incircle.

SO next step if option A

il63 [147K]4 years ago
5 0
I think the answer is A
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A construction company is building a new parking garage and is charging the following rates: $5000 a month for the first 3 month
Elena L [17]

Answer:

C(t) = 5t for 0 < t ≤ 3

C(t) = (8t-9) for 3 < t ≤ 6

C(t) = 44 for 6 < t ≤ 10

C is given in thousands of dollars and t is given in months.

Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000

Step-by-step explanation:

We will do a piecewise analysis for this cost function.

How to obtain the total cost changes with each time interval.

In the first 3 months,

C(t) = 5t for 0 < t ≤ 3

Note that C is given in thousands of dollars

In the next 3 months,

C(t) = (8t-9) for 3 < t ≤ 6

- Here, it gets a little complex, we use the upper limit of the previous interval and the lower limit of this new interval to get the constant to be subtracted from the normal 8t that characterizes this interval.

8(3) = 24

5(3) = 15

constant = 24 - 15 = 9

In the last 4 months,

C(t) = 44 for 6 < t ≤ 10

- For the last four months, it is a single sum of $5000 plus the [8(6) - 9] from the previous inteval

C = [8(6) - 9] + 5 = 39 + 5 = 44

So, the cost of parking, tracked month after month gives

T | Cost (in thousands of dollars)

1 | 5

2 | 10

3 | 15

4 | 23

5 | 31

6 | 39

7 | 44

8 | 44

9 | 44

10 | 44

Total lump sum to be paid at the end of the 6 months for the total 10 months that the construction company works on the parking garage = $44000

Hope this Helps!!!

8 0
3 years ago
What is meaning of <br> 34+35= ?
Elis [28]

Answer:

lol

Step-by-step explanation:

3 0
3 years ago
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Steve and Karla are studying the text messaging habits of middle school students. They collected data about the number of messag
Bess [88]

Answer:

The correct answer is A.

A) The IQR of Karla's data in 13.

Step-by-step explanation:

The interquartile range can be defined as the difference of upper quartile and lower quartile range. If we want to find the IQR from the box plot, we can simply see the length of the box from the box plot, as it represent the IQR.

We can clearly see that:

IQR of Steve's data is 45 - 31 = 14, hence the second statement is incorrect

IQR of Karla's data is 52 - 39 = 13, hence the first statement is CORRECT

The difference of medians is 43 - 36 = 7

Hence the difference of medians is not the half or twice of IQR ranges of both data sets

5 0
4 years ago
find the x-intercepts and the coordinates of the vertex for the parabola Y equals negative X squared plus 8X -12. If there’s mor
Oksanka [162]

Answer:

x = 2, and 6

x = 2 , 6

Step-by-step explanation:

The quadratic function to analyze is: y = -x^2+8x-12

In order to find where the corresponding parabola intercepts the x axis, we set it equal to zero (y = 0):

y = -x^2+8x-12\\0 = -x^2+8x-12\\x^2-8x+12=0

This equation is easy to solve by factoring. We look for a air of integer numbers whose product equals the constant term "12", and whose combinig renders the coefficient of the middle term of the trinomial "-8".

The two such numbers are "-2" and "-6". We use them to split the middle term, and then solve by factoring by grouping:

x^2-8x+12=0\\x^2-2x-6x+12=0\\(x^2-2x)+(-6x+12)=0\\x(x-2)-6(x-2)=0\\(x-2)(x-6)=0

For the product of two factors to render zero, we need either one to be a zero.This means that (x-2)=0 (that is x = 2), or (x-6)=0 (that is x = 6).

So, there are two x-intercepts: x= 2, and 6

3 0
3 years ago
Someone help, its calc
Marizza181 [45]

Differentiate

\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)

\\ \rm\rightarrowtail 4x+9

  • Put x=5

f'(5):-

  • 4(5)+9
  • 20+9
  • 29

Option C

3 0
2 years ago
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