Does this equation represent a direct variation?
y=1/6x

Answers

Answer 1

Answer: This equation represents a direct variation, for the ratio between y and x is constant~

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Given\qquad \overline{OL}\perp\overline{ON}
OL
⊥
ON
start overline, O, L, end overline, \perp, start overline, O, N, end overline
\qquad m \angle LOM = 3x - 15^\circm∠LOM=3x−15
∘
m, angle, L, O, M, equals, 3, x, minus, 15, degrees
\qquad m \angle MON = 5x - 23^\circm∠MON=5x−23
∘
m, angle, M, O, N, equals, 5, x, minus, 23, degrees
Find m\angle MONm∠MONm, angle, M, O, N:

Answers

Segments LO and ON are perpendicular, providing the required

information for the value of the sum of ∠LOM and ∠MON.

m∠MON is 57°

Reasons:

The given parameter are;

$\overline{OL}$ is perpendicular to $\overline{ON}$ ; $\overline{OL} \perp \overline{ON}$

m∠LOM = (3·x - 15°)

m∠MON = (5·x - 23°)

Required:

Find m∠MOM

Solution:

Given that $\overline{OL}$ is perpendicular to $\overline{ON}$ , we have;

m∠LON = 90° by definition of perpendicular lines

m∠LON = m∠LOM + m∠MON by angle addition postulate

Therefore;

m∠LOM + m∠MON = 90° by substitution property of equality

Which gives;

(3·x - 15°) + (5·x - 23°) = 90° by substitution property

8·x - 38° = 90°

$x =(90^(\circ) + 38^(\circ) )/(8) = 16^(\circ)$

x = 16°

m∠MON = 5·x - 23°

m∠MON = 5 × 16° - 23° = 57°

m∠MON = 57°

Learn more here:

brainly.com/question/18888627

Answer:57

Step-by-step explanation:

Yana opens a saving account with $100 initial balance. She then deposits $50 each month. Which equation will represent the problem correctly?a=100m+50
a=50m+100
a=50m+100m
a=100+50

Answers

Answer:

a = 50m + 100

Step-by-step explanation:

100 is the constant and will remain whether or not any money is deposited monthly or not.

The $50 is how much per m months.

How is volume similar and different to mass?

Answers

Mass is the measure of the amount of matter an object has. Volume is the amount of space an object occupies.

The reason how they are similar is because you are looking for the in side of that shape. And the difference is because in volume you were looking to see how many cube can fit in the shape and the mass is to see how much it weighs

Can someone explain the steps of how to solve number 13 please!!