Answer:
x = 7
Step-by-step explanation:
the 2 is doubled so the 3.5 has to be doubled as well
2/3 ÷ 4
2/3 ÷ 4/1
We invert the 4/1 to 1/4 and multiply out.
2/3 × 1/4
= 1/3 × 1/2 2 into 4 is 2.
= 1/(3 × 2)
= 1/6
Hope this helps.
Answer:
∠C=90°
∠A=67°
∠B=23°
Step-by-step explanation:
For angle C:
Thales' Theorem states that an angle inscribed across a circle's diameter is always a right angle.
Therefore, since AB is the diameter(hypotenuse) then angle C is the right angle. (90°)
For Angle A:
The measure of arc BC= 134 degrees. We can just use a formula for an inscribed triangle. ∠A = 1/2 (mBC)
∠A= (1/2)134
∠A= 77°
For angle B:
All triangle angles all add up to 180. We can just subtract angles A and C from 180°:
∠B = 180-(90+67)
∠B = 23°
Answer:
2160 units square
Step-by-step explanation:
We are given the perimeter of 182 units and that the lengths are 11 more units than the width. So the length is W+11, eleven more than the width. There is also 2 width sides so the sum of the lengths are 2W+22. There is also 2 width sides so if you add that to the equation the perimeter equals 4W+22.
4W+22=182
4W=160
W=40
So the width is 40 units, and the length is 11 more so the length is 54 units. Multiply these two numbers to get the area. 44*54=2160 square units.
<u>Complete Question</u>
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.

Answer:

Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = 