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Orlov [11]
3 years ago
15

In circle A, marc BC is 71° and marc EF is 78°: Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, cre

ating angle EDF. The measure of arc BC is 71 degrees, and the measure of arc EF is 78 degrees. What is m∠FDE? 35.5° 74.5° 39° 78°
Mathematics
1 answer:
jasenka [17]3 years ago
5 0

Answer:

74.5

Step-by-step explanation:

Since the angles are not on the center of the circle, we use this formula:

71+78/2= 74.5

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If f(x)=-5^x-4 and g(x)=-3x-2 find (f-g)(x)
sukhopar [10]

Answer:

(f-g)(x) = 5^x +3x -2

Step-by-step explanation:

The value (f-g)(x) means subtract the function g from f. This can be done by combining only like terms between each.

(f-g)(x) = 5^x - 4 -(-3x-2)\\(f-g)(x) = 5^x - 4 +3x + 2\\(f-g)(x) = 5^x +3x -2

4 0
3 years ago
Read 2 more answers
you make $7. 50 an hour and time and a half for overtime. How much will you make if you work a 40 hour week in 7 hours of overti
ololo11 [35]

40 hours a week including 7 hours overtime

normal hours = 33 x $7.50 = $247.5

overtime hours = 7 x $11.25 = $78.75

Total wage per week for 40 hours = $326.25

total wage for full year i.e 52 weeks = $326.25 x 52 = $16,965

3 0
3 years ago
A 90% confidence interval for u using the sample results X = 131.2, s=55 , and n= 50 Round your answer for the point estimate to
Ilya [14]

Answer:

131.2 ;

12.8 ;

(118.4, 144)

Step-by-step explanation:

Given :

X = 131.2, s=55 , and n= 50

Point estimate of the mean :

Since, sample size is large (n > 30) ; the sample mean = population mean according to the center limit theorem :

Margin of Error = Zcritical * s / sqrt(n)

Zcritical at 90% = 1.645

Margin of Error : 1.645 * (55 / sqrt(50))

Margin of Error : 1.645 * 7.7781745

Margin of Error = 12.795097

Margin of Error = 12.8

The confidence interval (C.I) :

C.I = x ± margin of error

C. I = 131.2 ± 12.8

(131.2 - 12.8) ; (131.2 + 12.8)

(118.4, 144)

8 0
3 years ago
A sphere has a volume of 972π in3. Find the radius of the sphere.
aleksandr82 [10.1K]

Answer:

radius =9 in

Step-by-step explanation:

Shown in the picture

7 0
4 years ago
Quadrilateral QRST has diagonals that are perpendicular but not congruent. Which type of quadrilateral could describe quadrilate
Zanzabum

Answer:

Rhombus

Step-by-step explanation:

This undoubtedly has to be a rhombus. When you look at other quadrilaterals for example and want to judge and or differentiate, we see that in the case of a square, the diagonals are equal to one another and they are not congruent. Same can be applied to that of a rectangle as well, it's diagonals aren't congruent, even if they appear perpendicular.

On the other hand, the diagonals of a rhombus is both perpendicular, and at the same time congruent. And thus, that's our answer

3 0
3 years ago
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