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White raven [17]
3 years ago
14

What is the measure of Angle DEF?

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Angles outside a circle are half the difference of the measures of the intercepted arcs.

78 - 12 = 66

66/2 = 33

The angle is 33 degrees

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The local radio tower is located 20 miles east and 12 miles north of Pamela's cabin. The radio tower has a 25 mile broadcast rad
pychu [463]

Answer:

x^2 +y^2 -40x -24y  -81 =0

Step-by-step explanation:

We can write the equation of a circle in the form

(x-h)^2 + (y-k)^2 = r^2

Where (h,k) is the center and r is the radius

Assuming that Pamela's cabin is the center

( x-20)^2 + (y- 12)^2 = 25^2

We want to get to general form

x^2 + y^2 + Dx + Ey + F = 0,

Distributing

x^2 -40x +400 + y^2 -24y +144 = 625

x^2 +y^2 -40x -24y +544 -625 =0

x^2 +y^2 -40x -24y  -81 =0

3 0
3 years ago
Graph the following function on the axes provided.
vitfil [10]

Step-by-step explanation:

step 1. graph f(x) = 2x + 6

step 2. y = mx + b. (slope intercept form)

step 3. b = 6 which is the y intercept so put a dot on (0, 6) or on the y axis at 6

step 4. m = 2 so put another dot up 2 and over to the right 1 from the y intercept

step 5. draw a line through your 2 points and you are done.

5 0
3 years ago
2/3 × 42 pls explain in steps
sergij07 [2.7K]

Answer:

28

Step-by-step explanation:

Convert element to fraction:

2/3 x 42/1

Cross-cancel common factor:

2/1 x 14/1

Multiply Factors:

2 x 14

1 x 1

Multiply the numbers 14 x 2 = 28

And boom, the answer is 28!

8 0
3 years ago
Read 2 more answers
In circle H with m \angle GHJ= 104m∠GHJ=104 and GH=15GH=15 units, find the length of arc GJ. Round to the nearest hundredth.
AlladinOne [14]

Answer: GJ= 27.23

i dont know how to explain this lol sorry but that answer is right

6 0
3 years ago
If the candidate only wants a 0.2% margin of error at a 95% confidence level, what size of sample is needed?
musickatia [10]

Answer:

n = 22

Step-by-step explanation:

Using

n = p(1-p)(Zc/E)²

From table E = 0.2 while p= 0.37

So substituting

We have n= 22.4

Thats a sample size of approximately 22

3 0
3 years ago
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