Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

7 0

3 years ago

A scale model of a human heart is 16ft long. The scale is 32:1. How many inches long is the actual heart it represents?

melisa1 [442]

0.5 or 6 inches
The model=32
Actual size=1

32/1= 16/?
If 32 is 1 foot which equals 12 inches, and 16 is half of 32, then 16 is 0.5 inches or 6 inches

4 0

3 years ago

If line KM bisects angle JKL, angle JKL = 92 degrees, and angle MKL = (5x+1) degrees, find the value of

kherson [118]

The value of the variable x is found to be x = 9.

<h3>What is termed as angle bisector?</h3>

In geometry, an angle bisector is a line that divides an angle into two equal angles.
A bisector is something that divides a shape or thing into two equal portions.
An angle bisector is a ray that divides an angle into two equal components of the same measurement.

A bisected angle divides the two sides in equals.

JKM = LKM

As, both are equal.

Then, each of these angles are 1/2 the angle JKL.

1/2 JKL = MKL

1/2 ×( 92) = 5x + 1

Further simplifying;

46 = 5x+1

Subtract 1 from each side

46-1 = 5x

45 = 5x

Divide each side by 5

45/5 = 5x/5

x = 9

Thus, the value of the unknown variable is found to be x = 9 units.

To know more about the angle bisector, here

brainly.com/question/14399747

#SPJ9

6 0

11 months ago

Which relation represents a function?

Tom [10]

C is the rigth answer because all the other three has two x values in common. :)

8 0

3 years ago