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 :)
It’s making me use 20 characters so here’s a lil text
Answer:
Lines a and c have the same slope, so they are parallel. Write an equation of the line that passes through (5, −4) and is parallel to the line y = 2x + 3. Step 1 Find the slope of the parallel line. The graph of the given equation has a slope of 2.
Answer:
Yes
Step-by-step explanation:
using pythagorus theorum: a^{2} + b^{2} = c^{2}
24^{2} +32^{2} = 1024+576
= 1600
40^{2} = 1600
thus, it can be concluded that these lengths can be the sides of a right-angled triangle.
A^2+b^2=(a+b) (a-b)
Let a^2=x^2 then a^2= x^2
Let b^2=63 them b^2= 64
b=8
Answer: (x+8) (x-8)
