Answer:
x = 25; both labeled angles are 65º
Step-by-step explanation:
To find the value of x, recall that the angles formed by two parallel lines on the same line are equal if they correspond to each other.
In the figure given above, we have two parallel line given. The angle formed by each parallel line is corresponding to the other. Therefore, both angles formed are equal.
Thus,
(3x - 10)° = (x + 40)°
Solve for x
3x - 10 = x + 40
Subtract x from both sides
3x - 10 - x = x + 40 - x
3x - x - 10 = x - x + 40
2x - 10 = 40
Add 10 to both sides
2x - 10 + 10 = 40 + 10
2x = 50
Divide both sides by 2
2x/2 = 50/2
x = 25
*Plug in the value of x to find the measure of each labelled angles:
(3x - 10)° = 3(25) - 10 = 75 - 10 = 65°
(x + 40)° = 25 + 40 = 65°
Answer:
32.50
Step-by-step explanation:
It is simple. You need to know the basics of money, fractions, and well... Math! :)
if you take 13 and multiply it by 2 you get 26
Take the 26 and put it aside -------------> 26
divide 13 in half. that would be 6.50
6.50 + 6.50 = 13
Now get the 26 --------------------------> 26
and add 6.50 to 26.
That would be 32.50!
Please make sure to follow and like! :)
It will take 29 minutes to empty a 2,030- Gallon Tank.
70 x 1 = 70 Gallons per minute
2,030/70 = 29 minutes
Answer:
237.9 meters
Step-by-step explanation:
Let x represent the length of the tunnel.
Applying the Cosine Law, we have:
x² = 201² + 146² - 2*201*146*Cos(85)
x² = 61,717 - 58,692*0.0872
x² = 61,717 - 5,117.9424
x² = 56,599.0576
x = √56,599.0576
x = 237.9 m (nearest tenth)
