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jeyben [28]
3 years ago
7

Drag and drop an answer to each box to correctly complete the proof.

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0

Answer:

Step-by-step explanation:

The correct question is shown in the image attached below.

Recall that: the line m is parallel to line n. In addition to that, m \angle 1 = 50^0 and m \angle 2 = 48^0, and \angle ABC is bisected by line s.

At this moment, by the angle addition postulate, angle DEF i.e.

∠DEF = m \angle 1 + m \angle 2

∠DEF = 50° + 48°

∠DEF = 98°

Similarly, using the rule of the alternate exterior angle ∠DEF = ∠ABC (∵ alternate exterior angles exhibit congruency).

Furthermore, By the definition of a bisector, angles 4 and 5 are congruent due to the fact that the line of a bisector splits the angle into two equal parts.

m∠4 = m∠5

∴

98/2 = 49°

Finally;

from the diagram, angle 3 and 4 are vertical angles

Thus, m∠3 = 49 by substitution property of equality ( because vertical angles are congruent angles).

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Find the fifth term in the geometric
OlgaM077 [116]

Answer:

<h2>          a₅ = 162</h2>

Step-by-step explanation:

The nth term in the geometric sequence:  a_n=a_1\cdt r^{n-1}

a₁ = 2  and  r = 3

So:

    a_5=a_1\cdot r^4=2\cdot3^4 = 2\cdot81=162

8 0
3 years ago
Qaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
Kipish [7]

Answer:

32.8 miles

Step-by-step explanation:

Amy is driving to Seattle. Suppose that the remaining distance to drive (in miles) is a linear function of her driving time (in minutes). When graphed, the function gives a line with a slope of -0.95. See the figure below. Amy has 48 miles remaining after 31 minutes of driving. How many miles will be remaining after 47 minutes of driving?

Answer: The general equation of a line is given as y = mx + c, where m is the slope of the line and c is the intercept on the y axis. Given that the slope is -0.95, substituting in the general equation :

y = -0.95x + c

Amy has 48 miles remaining after 31 minutes of driving, to find c, we substitute y = 48 and x = 31. Therefore:

48 = -0.95(31) + c

c = 48 + 0.95(31)

c = 48 + 29.45

c = 77.45

The equation of the line is

y = -0.95x + 77.45

After 47 minutes of driving, the miles remaining can be gotten by substituting x = 47 and finding y.

y = -0.95(47) + 77.45

y = -44.65 + 77.45

y = 32.8 miles

3 0
3 years ago
2. Evaluate the expression for q = 2 6​
GenaCL600 [577]

Answer:

12

Step-by-step explanation:

This may not be intirely correct because you said q = 2 6. I think that means 2 times 6.

Anyways

2 x 6 = 12

⇒ q = 12

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3 years ago
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Answer:

b = -1

Step-by-step explanation:

Solve for b means, write in the form of b =...

Given

+ b = - 1 and this is the same as b = - 1.

That is because the plus sign has no real meaning here, so you can ignore it as if it was not there at all.

It so turns out you now have the answer!

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4 years ago
Suppose you toss a coin 100 times and get 85 heads and 15 tails. Based on these​ results, what is the probability that the next
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