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inysia [295]
2 years ago
14

The point (x, y) is proportional to the point (2, 5). Select all the true statements.

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
5 0

Step-by-step explanation:

(x, y) is a solution to y = 5/2X

(x, y) is a solution to y=x+3.

The ratio of Y/X is equivalent to 5/2

Point (x, y) is the same point as (5, 2).

A straight line through points (2, 5) and (x, y) will pass through the origin.

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PLEASE HELP :'))
andreev551 [17]

Answer:

D) 54 cm

Step-by-step explanation:

We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is \frac{2}{3} of the distance from each of the triangle's vertices to the midpoint of the opposite side.

Therefore, R is \frac{2}{3} of the distance from U to V, since the latter is the midpoint of the side opposite to U. We know this because R belongs to UV, so R must be QS's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).

We can then write the following equation:

VR=\frac{1}{3} UV

Substituting VR = 18 into the equation gives us:

18=\frac{1}{3} UV

Solving for UV, we get:

18=\frac{1}{3} UV

3 *18=3*\frac{1}{3}UV (Multiply both sides of the equation by 3 to get rid of UV's coefficient)

54=UV (Simplify)

UV=54 (Symmetric Property of Equality)

Therefore, the answer is D. Hope this helps!

7 0
2 years ago
HELP PLS!!! I GIVE BRAINLIEST
emmainna [20.7K]

Based on the multiplication property of equality, the statement that completes the proof is: C. CD = b(sin A) and CD = a(sin B).

<h3>What is the Multiplication Property of Equality?</h3>

The multiplication property of equality is given as, if a/b = y, then a = yb. Both sides of the equation is multiplied by the same value.

In step 5 where the multiplication property of equality is applied, we would have:

sin(A) = CD/b

Multiply both sides by b

sin(A) × b = CD/b × b

b(sin A) = CD

CD = b(sin A)

This same property is applied to sin B = CD/a to get CD = a(sin B).

Therefore, the missing statement is: C. CD = b(sin A) and CD = a(sin B).

Learn more about the multiplication property of equality on:

brainly.com/question/1978763

#SPJ1

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