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kari74 [83]
2 years ago
9

Which two theorems would justify that m∠4 = m∠6, given that m∠5 = m∠6 in the diagram below?

Mathematics
2 answers:
KonstantinChe [14]2 years ago
7 0

Answer:

D

Step-by-step explanation:

My name is Ann [436]2 years ago
4 0

Answer: D) vertical angles theorem, alternate interior angles theorem

Angle 5 = Angle 6 by the alternate interior angles theorem

Angle 5 = angle 4 by the vertical angles theorem

By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.

We won't use the angle addition theorem or the right angles theorem.

You might be interested in
6. If you spun the spinner below, what are the odds that you will spin an
denis23 [38]

If you mean that is a 4 digit number then here is your answer.

Answer:

1:1

Step-by-step explanation:

So there is 1000 to 9999. That includes 9999-999= 9000 numbers. Since each number it is either a odd number or an even number, we can say that it is 1:1 There would be 4500 odd and 4500 even numbers. Every even number is followed by an odd number. for example: 1000-1001 1002-1003 1004-1005

so on so you would get to the point that you get to 9998-9999

Hope it helped you!

8 0
3 years ago
What percent of 30 I'd 16.5%
Ainat [17]

Answer:

45%

its my guess

I'm not sure

8 0
3 years ago
Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the
o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

tanx=\frac{64}{82}

This value also equals by bigger triangle as

tanx=\frac{h}{82+12(12)}=\frac{h}{226}

From these two we get

h = height of street light =\frac{226(64)}{82} =176.39

6 0
2 years ago
Please help. I need it. Bad.
Murljashka [212]

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

3 0
3 years ago
Add the two expressions.<br><br> 8k + 4 and 3k + 8<br><br> Enter your answer in the box.
ANTONII [103]
11k+12 is the answer


7 0
3 years ago
Read 2 more answers
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