Answer: x = 70, y = 110, z = 85
Step-by-step explanation:
If BE = CD, then using corresponding angles (are equal), x = 70
If x = 70, then 70+y = 180 (angles on a straight line)
y = 110
And z = 85 (corresponding angles again): angle ABE = angle ACD
Answer:
a:b = 2
Step-by-step explanation:
Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).
We have:
2a−b/6 = b/3
Lets sum b/6 in both sides:
2a−b/6 + b/6 = b/3 + b/6
2a = b/3 + b/6
Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:
2a = b/3*(2/2) + b/6
2a = 2b/6 + b/6
2a = 3b/6
2a = b/2, as 3/6 = 1/2
Now lets divide both sides by b to make an a/b appear:
2a/b = (b/2)/b
2a/b = 1/2
Finally, multiply both sides by (1/2) or divide by 2:
(2a/b)/2 = 2
a/b = 2
This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.
Radius would be 19.9151730644
Answer
Find out the how long are the two line segments together answer in cm .
To prove
As given
i am measurng two line segments the first line is 30centimeter long.
The second line segment is 500 millimeter .
As
1 millimeter = 0.1 centimeter
Now convert 500 millimeter into centimeter .
500 millimeter = 500 × 0.1 centimeter
= 50 centimeter
Thus second line segment be 50 centimeter long .
Total length of two line segments = 30 + 50
= 80 cm
Therefore the 80 cm long are the two line segments together answer in cm .
29. A carpenter worked for 4 days to finish a repair job. She charged $825 for 15 hours plus $278 for materials. What is the carpenter's rate per hour?
Let’s start solving:
=> 825 dollars + 278 dollars = 1 103 dollars is the total payment a carpenter have received
=> 15 hours is the total hours he worked
=> 1 103 / 15 = 73.5 dollars per hour. This is already including the material or equipment fee.
