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3 years ago

your friends says that an exterior angle can never be complementary to any of the interior angles in a triangle?

Mathematics

2 answers:

Dafna1 [17]3 years ago

7 0

Answer:

Two angles are complementary if their addition is equal to 90°.

As you may know, the exterior angle is equal to the addition of both opposite interior angles, so suppose that you have a triangle with two angles of 30° and one of 120° (because the addition of the 3 interior angles must be equal to 180°)

In this case, the exterior angle that is opposite of both interior angles of 30°, is equal to their sum, so this angle has 30° + 30° = 60°

Now, this angle of 60° would be complementary with bot 30° interior angles.

So given the right triangle, an exterior angle can be complementary to some interior angles.

rusak2 [61]3 years ago

6 0

Exterior angles are complementary to the opposite interior angle

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What is m∠PTR? a. 12 b. 40 c. 50 d. 140 HELP!!!

kramer

Answer:

m<PTR = 140°

Step-by-step explanation:

First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.

m<PTQ = (x + 28)°

m<RTS = (2x + 16)°

m<PTQ = m<RTS (vertical opposite angles are congruent)

Therefore:

x + 28 = 2x + 16

Solve for x. Combine like terms

28 - 16 = 2x - x

12 = x

x = 12

Find m<PTQ

m<PTQ = (x + 28)

plug in the value of x

m<PTQ = 12 + 28 = 40°

m<PTR + m<PTQ = 180° (supplementary angles)

m<PTR + 40° = 180° (substitution)

m<PTR = 180 - 40 (subtracting 40 from each side)

m<PTR = 140°

3 0

3 years ago

Workers are installing new seats in the football stadium with the team colors.Starting with the first row, every sixth row of se

evablogger [386]

Answer:

red cuz its an odd number so every even number row is blue

Step-by-step explanation:

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2 years ago

Read 2 more answers

What does 4.57x0.08

jeka57 [31]

Answer:

0.3656 :)

Step-by-step explanation:

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3 years ago

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WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square

sertanlavr [38]

Answer:

Option A, B and E

Step-by-step explanation:

Determinant = ad-bc

Let's look at the picture and solve all

Option A)

If the row ( c and d ) is zero, the determinant will be zero

=> a(0)-b(0)

=> 0-0

=> 0 (So, True)

Option B)

If a = b = c = d (Let's say 1), the determinant will be

=> (1)(1)-(1)(1)

=> 1-1

=> 0 (So, True)

Option C)

An Identity matrix is

=> $\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

So , it's determinant will be

=> (1)(1)-(0)(0)

=> 1-0

=> 1 (So, False)

Option D)

The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)

Option E)

A zero matrix is

=> $\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

So, it's determinant is:

=> (0)(0)-(0)(0)

=> 0-0

=> 0 (So,True)

5 0

3 years ago

Identify the property shown. 5 + 2 = 2 + 5 24 x 1 = 24 13 + 0 = 13

Tom [10]

First one:
This is the commutative property of addition, which states that for two addends, the order of addends does not affect the value of the end result.

Second one:
This is the multiplicative identity property. It states that any number, when multiplied by 1, is equal to itself.

Third one:
This is the additive identity property, which states that any number, when added to 0, equals the same number.

Hope this helps!

8 0

3 years ago