Answer:
x=38 degrees
Step-by-step explanation:
supplemental angle to 114 degrees is 66 degrees
180=x+2x+66
3x=114
x=38 degrees
Answer:
Yes, they are equalent
Step-by-step explanation:
12:14 = 6:7
60:70 =6:7
both can be simplified to 6:7
Which part of the question?
Answer:
5/9
Step-by-step explanation:
Let's begin by determining the factors of the problem. We know that Robert ran a race that is 2/3 of a mile long. Therefore, we know that 2/3 is a factor in the equation. We also know that, of the 2/3 mile, he ran 5/6 of it. Now the tricky part is deciding how the two fractions are related.
To make this easier, let's substitute a different number for 5/6. We'll say 2.
If he has completed TWICE the length of the race, how would you determine how far he ran?
You would multiply 2/3 by 2! This same principle can be applied to the problem.
To determine the total distance run in miles, we can write it as 2/3 * 5/6
(NOTE that * is known as "times" or "multiplied by")
With this, you multiply the numerators (2 * 5 = 10) and the denominators (3 * 6 = 18) and then make your fraction... 10/18!
But you're not done yet. Always remember to simplify when possible. Both terms are divisible by 2. Therefore, it can be written as 5/9.
Hope this helped!
Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
