Answer:
150 degrees and 30 degrees
Step-by-step explanation:
Let's say the measure of the angle is x. This angle is 5 times that of its supplementary, supplementary angles will add up to 180 degrees. So we have an equation of x = 5(180-x). Solve this equation for x
x = 5(180-x)
x = 900 - 5x
6x = 900
x = 150 degrees, this is the value of one angle
The other angle is 180-x = 180-150 = 30 degrees
Answer:
Option C. (2x+3)(6x – 5) is the correct answer.
Step-by-step explanation:
Given polynomial(trinomial) is:

The given trinomial is quadratic. Factorization will be as follows:
Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.
The required factors are 18 and 10
So,

Hence,
Option C. (2x+3)(6x – 5) is the correct answer.
Answer:
x=-4
Step-by-step explanation:
3x-5=7x+11 Add like terms
+5 +5
3x=7x+16 Do it again...
-7x -7x
-4x=16 Now divide
x=-4
The number 15 has 2 place values.
The value in the tens place is 1.
The value in the ones place is 5.
1 tens + 5 ones = 15
If you need help comment below and ill try my best to help you out!
The situation is represented by a drawing with a right triangle where an airplane is at the top corner, the elevation angle (opposite to the airplane) is 70°, the height (vertical leg) is x, and the adjacent leg (horizontal leg) to the 70° angle is 800.
Then, to find the height x, which is the opposite leg to the angle, you can use the tangent ratio, which is opposite leg divided by adjacent leg:
tan(x) = opposite leg / adjacent leg => tan(70°) = x / 800
Answer: tan(70°) = x / 800