52 + 3x = 5(−x + 9) − 49 solve for x

Mathematics

1 answer:

Tems11 [23]2 years ago

3 0

Answer:

x = -7

Step-by-step explanation:

52 + 3x = -5x + 45 - 49

8x = -56

x = -7

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A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water

Debora [2.8K]

The diameter of half the cone is equal to half of the given diameter and its height is also half the given height.
V = 1/3(πr²)(h)
d = 1.5 inches, r = 0.75 inches
h = 2 inches

Substituting,
V = 1/3(π)(0.75 in)²(2 in)
V = 1.178 in³

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2 years ago

If M is the centroid of triangle GHI, HL=45, JI=63, and KG=60, find the missing measures

AysviL [449]

Answer:

Part a) $ML=15\ units$

Part b) $HM=30\ units$

Part c) $JM=21\ units$

Part d) $MI=42\ units$

Part e) $GM=40\ units$

Part f) $MK=20\ units$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A centroid of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.

The centroid is located two thirds of the distance from any vertex of the triangle

Part a) Find ML

we have

$HL=45\ units$