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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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Which transformation is a dilation?
dem82 [27]
B. represents a dialation
5 0
3 years ago
If 2/3 of a cup of pancake mix makes 6 pancakes. How much will 3 1/3 cups of pancake mix, how many pancake does it make?
sergey [27]
31/3: 2/3= 5
5X6=30
All you have to do is divide 31/3 by 2/3 and it equals 5 then 5X6=30
8 0
3 years ago
The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine these numbers
vivado [14]
(x + y = 125)3
5x - 3y = 41
3x - 3y = 375
8x = 416, x = 52
52 + y = 125, y = 73

Solution: the numbers are 52 and 73
4 0
3 years ago
Hello!
avanturin [10]

Answer:

  • 7.71 km²

Step-by-step explanation:

<u>Area of triangle:</u>

  • A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

<em>See attached for details</em>

  • sin 40° = h/4
  • h = 4 sin 40°
  • h = 2.57 km

<u>The area is:</u>

  • A = 1/2*6*2.57 = 7.71 km²

6 0
2 years ago
Read 2 more answers
A student is considering publishing a new magazine aimed directly at owners of Japanese automobiles. He wanted to estimate the f
JulsSmile [24]

Answer:

Check Explanation

Step-by-step explanation:

a) Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

With p(japan) representing the true population proportion of US automobile that are made in Japan, the computer output 90% confidence

0.29938661 < p(japan) < 0.46984416

mean that p(japan); the true population proportion of US automobile that are made in Japan lies within the range of proportions (0.29938661, 0.46984416) with an assurance level of 90%.

b) 90% confidence mean that the true proportion may or may not be in the given range, but we are 90% certain that it does.

c) The confidence interval contradicts the politician's claim that "Half of all cars in the United States are made in Japan" because the proportion in the politician's claim, (0.50), does not lie within the range of values that our confidence interval says the true population proportion can take on; (0.29938661, 0.46984416).

0.50 lies outside of the confidence interval obtained for the true population proportion of US automobiles that are made in Japan, hence, the confidence interval contradicts the politician's claim.

Hope this Helps!!!

3 0
3 years ago
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