Y = 3x - 5
The slope is found from y2-y1/x2-x1
Answer:
No
Step-by-step explanation: To be direct variation the line must pass through the origin(0,0). This equation has a y-intercept at (0,-1/2) so it does not pass through the origin.
Y = 2x - 17, comparing to y = mx + c, slope m = 2.
If perpendicular, the new slope would be -1/2, that is the negative reciprocal of 2.
And passing through (-8 , 1).
using y = mx + c, and x = -8, y = 1, m = -1/2
1 = -1/2*-8 + c
1 = 4 + c
1 - 4 = c
c = -3
y = mx + c, substituting m = -1/2, and c = -3, y = -(1/2)x - 3.
Option C.
Answer:
The area of triangle DEF is
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its heights is proportional and this ratio is called the scale factor and the ratio of its areas is equal to the scale factor squared
step 1
Find the scale factor
Let
z ----> the scale factor
----> ratio of its heights
step 2
Find the area of triangle DEF
Let
z ----> the scale factor
x ----> the area of triangle DEF
y ----> the area of triangle ABC
so
we have
substitute and solve for x
Answer:
mEFD= 90°
mEHF=130°
mHFG=55°
mG=75°
mE=15°
Step-by-step explanation:
mEFD: as you see on the other side of that mEFD there is a right angle. A right angle is =to 90°. An angle on the other side of it has to add up to the 90° angle to equal 180°. Therefore, it equals 90° because 180-90=90
mEHF: so mEHF (or c°) has an angle of 50° on the other side of it. angle c° plus 50° has to equal 180°. Therefore, c°=130 because 180-50=130
mHFG: This one is fairly simple. Since there is already a right angle (90°) when 35°is added to b°, you can figure this out by simple algebra. 90-35=55. The answer to mHFG (b°)= 55°
mG: Now that we know that b°=55° and we have the other angle of the triangle at 50, we just need to add all the angles to equal 180°. so we get 55+50+a°=180. This brings us to a°=180-105. So a°=75°.
mE: since we now know what °c equals (130°) we can solve the answer by equating 130+35+d°=180. we can move 165 on the other side to get d°=180-165. Therefore, d°=15°