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babymother [125]
3 years ago
9

The quotient of 3 times a number n and 6 is 8. What is the value of n?

Mathematics
1 answer:
Fantom [35]3 years ago
7 0

Answer:

d

Step-by-step explanation:

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∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
Georgia [21]

Answers:

  • x = 10
  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

  • m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

8 0
2 years ago
Plzzzzzzz helllp failing
telo118 [61]

Answer:

i belive a or c please tell me if i waz wroung

7 0
3 years ago
Form a perfect-square trinomial. y = x2 + 2x + − 1−
Flauer [41]

Answer:

y = x^2+2x+1

Step-by-step explanation:

x^2+2x+1

= (x+1)^2

5 0
2 years ago
Read 2 more answers
16. A negative number x a negative number is always positive. *<br> true<br> false<br> nositi
xenn [34]

Answer:

True.

Step-by-step explanation:

I don't know the explanation behind any of it, but a negative number, when multiples by another negative number, is always positive.

3 0
2 years ago
Which reason justifies step 2 in the proof
faust18 [17]

Answer:

Step-by-step explanation:

Given: ∠N≅∠S, line l bisects TR at Q.

To prove: ΔNQT≅ΔSQR

Proof:

From  ΔNQT and ΔSQR

It is given that:

∠N≅∠S (Given)

∠NQT≅∠SQR(Vertical opposite angles)

and TQ≅QR ( Definition of segment bisector)

Thus, by AAS rule,

ΔNQT≅ΔSQR

Hence proved.

Statement                                                 Reason

1. ∠N≅∠S                                                    given

2. ∠NQT≅∠SQR                            Vertical angles are congruent

3.  line l bisects TR at Q.                            given

4. TQ≅QR                                      Definition of segment bisector

5. ΔNQT≅ΔSQR                           AAS theorem

Hence proved.

Thus, option D is correct.

3 0
3 years ago
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