Answer:
no solutions
Step-by-step explanation:
-8x + x + 15 = -7x + 12
Combine terms
-8x + x + 15 = -7x + 12
-7x +15 = -7x +12
Add 7x to each side
15 = 12
This is never true so there are no solutions
Answer: 17a) 32°
Step-by-step explanation:
Plot the coordinates and draw a line to connect them.
Then draw a horizontal line from (-4, 1) and a vertical line from (4, 6) until they intersect. This creates a 90° triangle.
Notice the length of the horizontal and vertical lines.
Use trigonometry to calculate the angle. Note that tan = opposite/adjacent
Answer:
y=1/2x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-(-2))/(12-6)
m=(1+2)/6
m=3/6
simplify
m=1/2
----------------------
y-y1=m(x-x1)
y-(-2)=1/2(x-6)
y+2=1/2(x-6)
y=1/2x-6/2-2
y=1/2x-3-2
y=1/2x-5
Answer:
robert is 12 years old
Step-by-step explanation:
robert's age=x
40=3x+4
that's the equation
40=3x+4
=36=3x
x=12
Answer:
m = 20°, n = 35°
Step-by-step explanation:
First, find n. We know that the base angles of an isosceles triangle are equal and that angles in a triangle add up to 180°. This means that:
- 110 + n + n = 180° - now simplify:
- 110 + 2n = 180° - subtract 110 from both sides:
- 2n = 180 - 110 - simplify again:
- 2n = 70° - divide both sides by 2:
- n = 35°
Now we know n, we can find m. The whole diagram is a triangle with angles of 90°, 35° (n) and the final angle can be split into m + n (m + 35°). This means that 125° + m + 35 = 180° (125 came from doing 90 + 35):
- 125 + m + 35 = 180° - now simplify:
- 160 + m = 180° - subtract 160 from both sides
- m = 180 - 160 - simplify
- m = 20°
Hope this helps!
