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zavuch27 [327]
2 years ago
10

State if each triangle is a right triangle

Mathematics
1 answer:
Arisa [49]2 years ago
6 0

Answer:

both 17 and 19 are right triangles because they both have a right angle

Step-by-step explanation:


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The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle
8090 [49]

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Step-by-step explanation:

We know that,

  • Sum of supplementary angles is 180 degrees.
  • Sum of complementary angles is 90 degrees.

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒  7x- x = 630° -180°

⇒  6 x = 450°

⇒  x = 75°  [divide both sides by 6]

So, original angle = 75°

Its supplement =  180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence,  original angle = 75°

Its supplement 105°

Its complement = 15°

4 0
3 years ago
Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett
Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

Word = DANCER

n =6 --- number of letters

Solving (a): Number of arrangements.

We have:

n =6

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =6!

This gives:

Total =6*5*4*3*2*1

Total =720

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

n = 5

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =5!

This gives:

Total =5*4*3*2*1

Total =120

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

n = 4

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =4!

This gives:

Total =4*3*2*1

Total =24

8 0
2 years ago
The perimeter of a rectangle is 42 inches. If the width of the rectangle is 8 inches, what is the length?
sergiy2304 [10]

perimeter = 2W + 2L

42 = 2*8 + 2L

Length = 26 / 2 = 13


3 0
2 years ago
Read 2 more answers
Which segment is opposite to angle D? DС FC or DF ​
PIT_PIT [208]

Answer:

The segment opposite to angle D is CF.

Step-by-step explanation:

To find what angle is opposite to a side. All you just have to do is see which segment doesn't touch that angle.  We see that angle D does not touch CF, so angle D must be opposite to CF.

6 0
1 year ago
Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?
Sloan [31]

Answer:

angle A=140

angle B=105

angle C=60

7 0
3 years ago
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