Answer:
C and D
Step-by-step explanation:
Hope this helps :)
Answer: cos(54) because the cosine is = to the sine between two complementary angles and 36 + 54 = 90, which means they are complementary.
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.
Answer:
<u>y = x + 7</u>
Step-by-step explanation:
Calculate the slope of a line that passes through (-2,5) and (1,8). The slope is the Rise/Run between the 2 points:
Rise = (8 - 5) or 3.
Run = (1-(-2)) = 3
Rise/Run, the slope m, is 3/3 or 1.
The equation can be written as y = 1x + b.
We need to find a value of b that forces the line though both points. Do that by entering one of the two points into y = 1x + b and solve for b. I'll use point (1,8)
y = x + b
8 = 1 + b
b = 7
The equation becomes <u>y = x + 7</u>
See the attached graph.
If x is the first number in the sequence, you can represent the next consecutive number using (x+1), the one after with (x+2), etc. We can set up an equation like this:
x + (x+1) + (x+2) + (x+3) = 130
This can be simplified to:
4x + 6 = 130
Now subtract 6 from each side:
4x = 124
Next we divide each side by 4:
x = 31
We have the first number in the sequence, but we need the THIRD number. Since we've already established that (x+2) would be the third number, we can just plug in x.
31 + 2 = 33
The third number in this sequence is 33.