Answer:

Step-by-step explanation:
Given:
,
To find the value of y, let's find x by solving 3x = 15.
3x = 15
Divide both sides by 3
x = 15/3
x = 5
Plug in the value of x into 




Answer:
The first choice
Step-by-step explanation:
Area of a triangle is 1/2x base x height
the base is 10 and height is 24
26 is the hypotenuse but it is not used in calculating the area
Hope this helps :)
Answer:
Choice D
Step-by-step explanation:
For this one I would find if the point lands on the line.
<em><u>Choice A:</u></em>
What we have to do is to plug in -4 for x and 4 for y.

The point is not on this line so this cannot be it.
<em><u>Choice B:</u></em>
We pug what we know again.

The point is not on this line so it can't be it.
<em><u>Choice C:</u></em>
We pug in what we know again.

The point is not on this line so it can't be it.
The next one has to be it, but we'll check it just in case.
<em><u>Choice D:</u></em>
We plug in what we know again.

The point is on this line so this is the line.
Answer:
x = 7
Step-by-step explanation:
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 :)