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Hoochie [10]
2 years ago
8

What is the value of the question mark in the picture below.

Mathematics
1 answer:
kenny6666 [7]2 years ago
4 0

Answer:

84°

General Formulas and Concepts:

<u>Geometry</u>

  • Alternate Interior Angles
  • Alternate Exterior Angles
  • Corresponding Angles

Step-by-step explanation:

According to the picture, we can see that the 2 angles are Alternate Interior Angles. By definition, these 2 angles will be congruent.

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Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

3 0
2 years ago
Factor tree for 30 and 54
elena-14-01-66 [18.8K]

Answer:

30|2

15|3

5|5

1

54|2

27|3

9|3

3|3

1

5 0
3 years ago
Read 2 more answers
James is participating in a 5-mile walk to raise money for a charity. he has received $200 in fixed pledges and raises $20 extra
Firlakuza [10]
The standard formula of a point-slope equation is (y-y1) = m(x-x1). So, we would arrange the final equation in this way as much as possible. Let y be the total amount her receives and x be the number of miles. That would be

y = 200 + 20x
y = 20 (10 + x)

That would be the equation. If he finishes the walk,

y = 20 (10+5)
y = $300

he would receive a total of $300.
6 0
3 years ago
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Compute the lower Riemann sum for the given function f(x)=x2 over the interval x∈[−1,1] with respect to the partition P=[−1,− 1
Nata [24]

Answer:

21/64

Step-by-step explanation:

First, we need to note that the function f(x) = x² is increasing on (0, +∞), and it is decreasing on (-∞,0)

The first interval generated by the partition is [-1, -1/2], since f is decreasing for negative values, we have that f takes its minimum values at the right extreme of the interval, hence -1/2.

The second interval is [-1/2, 1/2]. Here f takes its minimum value at 0, because f(0) = 0, and f is positive otherwise.

Since f is increasing for positive values of x, then, on the remaining 2 intervals, f takes its minimum value at their respective left extremes, in other words, 1/2 and 3/4 respectively.

We obtain the lower Riemman sum by multiplying this values evaluated in f by the lenght of their respective intervals and summing the results, thus

LP(f) = f(-1/2) * ((-1/2) - (-1)) + f(0) * (1/2 - (-1/2)) + f(1/2)* (3/4 - 1/2) + f(3/4) * (1- 3/4)

= 1/4 * 1/2 + 0 * 1 + 1/4 * 1/4 + 9/16 * 1/4 = 1/8 + 0 + 1/16 + 9/64 = 21/64

As a result, the lower Riemann sum on the partition P is 21/64

3 0
3 years ago
PLEASE HELP ASAP
Nikitich [7]
10 x 10 x 10 = 10^{3}
4 0
3 years ago
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