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rodikova [14]
2 years ago
5

(GEOMETRY. REAL HELP PLS) Triangle DEF is an isosceles, so DEF = DFE.

Mathematics
2 answers:
alexandr1967 [171]2 years ago
7 0
Angles on a straight line add up to 180° so all you have to do is:

180 - 75 = 105

So CFD = 105°
kakasveta [241]2 years ago
4 0

Answer:

The Value of Angle CFD is 105°

Step-by-step explanation:

As you mentioned in the question, Triangle DEF is an isosceles triangle so angles DEF and DFE have the same degree value. If Angle DEF measures 75° then Angle DFE measures 75° as well.

A straight line has an Angle of 180°. Seeing as how CFE is a straight line and Angle DFE is 75°. We can subtract 75° from 180° in order to get the Angle CFD.

180-75 = 105

So the Value of Angle CFD is 105°

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
cestrela7 [59]

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, <u>D is greater than 13 and is the correct answer.</u>

D: 8 + 8 = 16.

3 0
2 years ago
What is the quotient of 5472 and 81?
Akimi4 [234]

Answer:

67

Step-by-step explanation:

Division:-

\sf\Large\qquad\quad67\\ \begin{array}{cc} \cline{2 - 2}\sf 81 )&\sf \ 5472\\&\sf -487 \downarrow\\ \cline{2-2}& \sf \ \ \ \ 602\\ &\sf \ - 567 \\ \cline{2-2} & \sf \ \035 \\ \cline{2-2} \end{array}\\\\\\ Divisor \rightarrow 81 \\ \\ Quotient \rightarrow 67\\\\Remainder \rightarrow 35

5 0
1 year ago
The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,
Andrej [43]

Answer:

A. $18

B. $200

C. p\in (16,20)

Step-by-step explanation:

Function:

f(p) = -50p^2 + 1,800p - 16,000

<u>Parts A and B:</u>

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200

The price that generates the maximum profit is $18

The maximum profit is $200

<u>Part C:</u>

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all p\in (16,20), so the positive profit is for p\in (16,20)

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

7 0
2 years ago
The formula for finding the interest on a loan is I = prt. Jack borrows $2,000 for 2 years at a rate of 2%. How much interest wi
bearhunter [10]

i = p \times r \times t
i = 2000 \times .02 \times 2
2000 \times .02 = 40
40 \times 2 = 80
i = 80
3 0
2 years ago
Read 2 more answers
The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.
deff fn [24]

Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

6 0
2 years ago
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