Answer:
x = 10.5
Step-by-step explanation:
Firstly, in geometry, you may have to <u>prove that the two triangles pictured are similar</u>.
Since the two horizontal lines are marked, they are assumed to be parallel.
Therefore, if the lines are parallel, the two bottom angles of each triangle can be treated as the same due to the [Corresponding Angles Theorem], respectively
As such, the two triangles can be seen as <u>SIMILAR</u> as proven by <u>Angle-Angle Similarity.</u>
Now that we've proven both triangles to be similar, we can then set up ratios for the sides:
=
Note: we are using y as a measure of the <em>entire right side of the triangle</em>, so
<em>y = 6 + x</em>
Continuing on, if you cross-multiply the fractions to solve for y:
8y = 6 * 22
Simplify.
8y = 132
Simplify again.
y = 16.5
<u>We are not done yet!</u> We are solving for x, so remember <em>y = 6 + x</em>
16.5 = 6 + x
Solve for x.
x = 10.5
Lana = x
Pam = 0.5x - 0.05
Cheryl = 0.5x - 0.05 + 3.10
Total 89$ = Lana + Pam + Cheryl
89 = x + 0.5x - 0.05 + 0.5x - 0.05 + 3.10
89 = 2x + 3
89 - 3 = 2x
86 = 2x
86/2 = x
43 = x
then Pam = 0.5(43) - 0.05
= 21.50 - 0.05
= 21.45
Cheryl = 21.45 + 3.10
= 24.55
When the reference point is used in the point-slope form of the equation, the equation should evaluate to ...
... 0 = 0
This is only true for point (-16, 8) using the equation of selection a).
Happily, we also find that point (4, -2) satisfies the equation.
... -2-8 = -1/2(4+16)
... -10 = -1/2(20) . . . . true
The appropriate choice is ...
... a.) y-8 = -1/2(x+16)
Answer:
Square root of 16 is not 16
Answer:
its B , 4 11/20
Step-by-step explanation: