The answer would be B.36 because you should add up all the angles to get 10x. So, all angles in a triangle = 180. So, do 10x=180 to get x=18. C=2(18), so C=36. Please mark as brainliest it would be much appreciated!
Answer:
a = 21
Step-by-step explanation:
Step 1: Write equation
6(1/2a - 3) = 1/4(12 + 8a)
Step 2: Solve for <em>a</em>
- Distribute: 3a - 18 = 3 + 2a
- Subtract 2a on both sides: a - 18 = 3
- Add 18 to both sides: a = 21
Answer:
Arc length = 9.42 cm
Step-by-step explanation:
First you need the circumference of the circle
r = 6
C = 2* pi * r
C = 2 * 3.14 * 6 = 37.68
To find the length of the arc, we need to know the central angle. IN this case it is 90 degrees (notice the right angle of the triangle).
To find the length of the arc Arc length = (central angle in degrees/360) * C
Arc length = 90/360 * 37.68
Arc length = 9.42 cm
Answer:
For #21, x = 35, y = 85
Step-by-step explanation:
For these types of problems, you will simply use to facts. The sum of the measure of a line is 180 degrees, and alternate angles of crossing lines are equivalent. With that being said, let's work #21.
We can see that there are two lines, and we are given 2 values to find with 3 possible equations.
[1] ( 2x + 25 ) + y = 180
[2] y + ( 3x - 10 ) = 180
[3] 2x + 25 = 3x - 10
Using any of these equations, we can solve for the variables. Let's use the 1st and 3rd equations to find x and y.
2x + 25 = 3x - 10
2x + -2x + 25 + 10 = 3x + -2x + -10 + 10
35 = x
Now plug in the value of x to find y:
( 2x + 25 ) + y = 180
( 2(35) + 25 ) + y = 180
( 70 + 25 ) + y = 180
95 + y = 180
y = 85
We can check these values by plugging into the 2nd equation
x = 35 ; y = 85
y + ( 3x - 10 ) = 180
(85) + (3(35) - 10) = 180
85 + ( 105 - 10) = 180
85 + 95 = 180
180 = 180
Thus, we have validated our results and found the values of x and y.
Cheers.
Answer:
765
Step-by-step explanation:
Craig picks 4 times 459 apples, or 1836 apples. The total number Lori and Craig picked is ...
total apples = 459 +1836 = 2295
Each of the three equal groups will have 1/3 this number of apples, so will have ...
1/3 × 2295 = 765 . . . apples
There are 765 apples in each group.
