Find the measure of angle of hmgPLS HELP AND SHOW WORK

Mathematics

1 answer:

Anna11 [10]3 years ago

8 0

Answer:

70 degrees

Step-by-step explanation:

Angle HMK = 50 degrees

Angles LMK, MLK and MKL are equal to 60 degrees, being in a perfectly congruent triangle which they all add up to 180 degrees.

Add 60 to 50 = 110

180 - 110 = 70 degrees, equal to angle HMG.

This is because the line that angles LMK, HMK and HMG are on is supplementary.

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What is 7/8 divided by 1/8

eduard

Answer:

Step-by-step explanation:

Concepts:

Division: a system of distributing a collection of things into equal parts

Fractions: #s that represent a part of a whole

Dividing Fractions: dividing a fraction by another fraction = multiplying the fraction by the inverse (reciprocal) of the other one
Inverse Operations: operations that are opposite of each other (e.g. inverse of addition is subtraction)

Solving:

1. First, let's set up the equation:

7/8 ÷ 1/8

2. We can get the reciprocal of 1/8 by doing the opposite of division; multiplication. 1/8 becomes 1 · 8, and that's equal to 8.

3. Now, since we know dividing a fraction by another one is exactly the same as multiplying the fraction by the reciprocal of the other, let's multiply 7/8 by the inverse of 1/8, which is 8.

7/8 · 8 = 56/8 = 7

Therefore, 7/8 divided by 1/8 is equal to 7.

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3 years ago

Help, please i need this asap

MAVERICK [17]

Answer: He would need to ride on average 7.9 miles each day

Step-by-step explanation:

let x = the average number of miles he would have to ride each day to reach his goal.

$39.6=4x+8\\39.6-8=4x+8-8\\31.6=4x\\\large\boxed{x=7.9}$

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2 years ago

Find the volume of the cone shown below.

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

The formula for volume of cone is $V=\frac{1}{3}\pi r^2 h$

Where

V is the volume

r is the radius of the circular base

h is the height of the cone

In the diagram shown, we can clearly see that height is 12, radius is 9. We can simply plug them into the formula and get our exact answer (leaving pi as pi):

$V=\frac{1}{3}\pi (9)^2(12)\\=324 \pi$