Answer:
x = 20
Step-by-step explanation:
The triangle is isosceles ( 2 congruent sides )
Hence the base angles are congruent, thus
3x = 60 ( divide both sides by 3 )
x = 20
Answer:
36
Step-by-step explanation:
(Top bottom plus bottom bottom )× height divided by 2
(4+6)*6÷2=36
Answer:
=24.5%
Step-by-step explanation:
- Simple interest = (principal×rate×time)÷100. *brackets first*
- transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
- plug in values: rate = (100×37975) ÷ (31000×5)
- the result is 24.5%
To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other legs.
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m
Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.
Answer:
17 k + -25
Step-by-step explanation:
Simplify the following:
-5 (1 - 5 k) - 4 (2 k + 5)
-5 (1 - 5 k) = 25 k - 5:
25 k - 5 - 4 (2 k + 5)
-4 (2 k + 5) = -8 k - 20:
25 k + -8 k - 20 - 5
Grouping like terms, 25 k - 8 k - 20 - 5 = (25 k - 8 k) + (-5 - 20):
(25 k - 8 k) + (-5 - 20)
25 k - 8 k = 17 k:
17 k + (-5 - 20)
-5 - 20 = -25:
Answer: 17 k + -25
