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3 years ago

HELP ON GEOMETRY!!! PHOTO ATTACHED

Mathematics

1 answer:

solmaris [256]3 years ago

4 0

Answer:

m∠j = 32 degrees

m∠g = 78 degrees

Step-by-step explanation:

The triangles shown in the image are similar.

This means:

- The shape of the two triangles are identical.

- The corresponding angle measures of the two triangles are identical.

- The size of each side is proportionally identical to the corresponding sides of the other triangle.

The angles of triangle HIJ correspond with the angles of triangle GEF, so:

m∠j = m∠f

m∠g = m∠h

m∠i = m∠e

We are given values for m∠h and m∠f, so substitute those in the equations:

m∠j = 32 degrees

m∠g = 78 degrees

m∠i = m∠e

Angle j is equal to 32 degrees and angle g is equal to 78 degrees.

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3 years ago

Find the midpoint of the segment from point a (6,3) to point B (8,1)

velikii [3]

Answer: $M=(7,2)$

Step-by-step explanation:

You need to use the following formula:

$M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})$

Given the points A(6,3) and B(8,1), you can identify that:

$x_A=6\\x_B=8\\y_A=3\\y_B=1$

Now, you can substitute these values into the formula $M=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2})$ .

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5 0

3 years ago

Read 2 more answers

Please help on two math questions. I don’t understand how to do them.

Sidana [21]

When you represent intervals on the number line, you're including full dots, excluding empty dots, and you're considering numbers highlighted by the line.

In the first case, you've highlighted everything before -2 (full dot, thus included), and everything after 1 (empty dot, excluded). So, the set would be

$x\leq -2 \lor\ x>1$

or, in interval notation,

$(-\infty,-2]\cup (1,\infty)$

In the second case, you are looking for all numbers between -3 and 5. This interval is symmetric with respect to 1: you're considering all numbers that are at most 4 units away from 1, both to the left and to the right.

This means that the difference between your numbers at 1 must be at most 4, which is modelled by

$|x-1|\leq 4$