Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer:
Step-by-step explanation:
The absolute difference is 77-(-8)=85. The only option that is equivalent is
|-8|+77
Answer:
MQ=14
Step-by-step explanation:
The two triangles are similar
So the equation is
12/72=x/12
1/6=x/12
x=2
We know for our problem that Rachel makes $10 per hour. Since

represent the number of hours that she works,

will be the total amount that she will make for working

hours. We also know that she sells bracelets for $5 each. Since

represents the number of of bracelets that she sells,

will be her total revenue for selling

bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of

and

must be equal or greater than 200:

We can conclude that <span>the graphs that shows the inequality that represents this situation, with its solution region shaded is:</span>