Answer:
45*
Step-by-step explanation:
180-115=65
65=angle 2
180-110=70
70=angle 1
70+65=135
180-135=45
45=angle 7
angle 7 and 6 are vertical angles so angle 6=45
angle 6 and angle 5 are an example of alternate interior angles soo
angle 5=45*
Hope I helped!
Answer:
y = -5/4x - 4
Step-by-step explanation:
The equation they give you is in slope intercept form. y=mx+b. The m is the slope (-5/4). Since they want a parallel line you keep the same slope for point slope form. Point slope formula is y-y1=m(x-x1). the y1 and x1 are where you plug in the coordinates they give you.
y - 1 = -5/4x (x + 4)
y - 1 = -5/4x - 5
y = -5/4x - 4
Answer:
side opposite 30° angle (shorter leg) = 6 cm
side opposite 60° angle (longer leg) = 6√3 cm
Step-by-step explanation:
I'm not 100% sure if this is right but if its wrong i am so sorry.
Answer:
C. 2
Step-by-step explanation:
The grid markings are the same distance apart in the x- and y-directions, so a line with slope 1 will make a 45° angle with the x-axis. Your line is steeper than that, so has a slope more than 1.
Your line goes up to the right, so its slope is positive.
The only answer choice that is a positive number more than 1 is ...
... C. 2
_____
The slope is computed as the ratio of rise (vertical change) to run (horizontal change). The two marked points tell you the vertical change is from y=-4 to y=6, a change of 6-(-4) = 10. The horizontal change is from x=1 to x=6, a change of 6-1 = 5.
Then the ratio of rise to run is 10/5 = 2. This matches answer C.