Answer:
3x-120 = x - 30
2x -120 = -30
2x= 90
x= 45
3(45) -120 (plug x into angle p to check your answer)
135-120
15 degrees
45-30 (plug x into angle r to make sure it's the same thing as angle p)
15 degrees (they're equal so now figure out angle Q and answer the question)
180 - (15 +15)
180- 30
150 is the measure of angle Q
so, the triangle is an obtuse isosceles triangle
Step-by-step explanation:
Answer:
36.5
Step-by-step explanation:
5(1+6.3)
You can factor this by grouping! We will need to group the trinomial into the expression (k^2 + k)(-2f^2 + f). Now factor from THOSE. k(k + 1)f(-2f + 1).
<span>We can, transform the raw scores to z-scores and use the standard normal curve to find the relative frequency of the scores.
I hope this helped!</span>
Answer:
The mixture C is the correct option
Step-by-step explanation:
According to the given scenario, the calculation is as follows:
For Mixture A
Blue Paint - 5 cups
White Paint - 12 cups
The ratio between them is 5:12
For Mixture B
Blue Paint - 6 cups
White Paint - 6 cups
The ratio between them is 6:6 = 12:12
It came by multiply the numerator and denominator by 12
For Mixture C
Blue Paint - 4 cups
White Paint - 12 cups
The ratio between them is 4:12
For Mixture D
Blue Paint - 5 cups
White Paint - 6 cups
The ratio between them is 5:6 = 10:12
It came by multiply the numerator and denominator by 12
As it can be seen that in all four mixtures the denominator is the same so for calculating the lowest ratio we have to see the small value in the numerator
As it can be seen that there is a small value of 4
hence, the mixture C is the correct option
