Answer:
x=10.5
Step-by-step explanation:
40x-120=24x-48
40x-168=24x
16x-168=0
16x=168
x=10.5
Have a great day!
Answer:
23.3
(or 
(let me know if you wanted this one and is you want it explained) lol)
Step-by-step explanation:
To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:
Insert values:
Solve for c:
Evaluate exponents
Simplify addition
Find the square root of both
The fence needs to be approximately 23.3 m.
Answer:
c
Step-by-step explanation:
according to PEMDAS you should always do whats inside the parentheses first, then you'll multiply the parentheses by 5
Answer:
30°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
And the sum of the two angles in the triangle is 150°.
So to find the missing angle you do 180-150 which gives 30°.
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
