Answer:
A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions
Therfore it is true
We can multiply all values by the same amount and still have the same ratio.
Answer:
5, -25, 125, -625
Step-by-step explanation:
A geometric sequence is where a number is divided or multiplied by same number continuously
in the third option the number are multiplied by (-5) continuously
The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let and be, respectively, the number of girls and boys.
We know that (the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that (there are 61 students in total).
So, we have the system
We can use the first equation to substitute in the second
And then solve for :
For the second problem, let and be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
1. By the Law of Sines, you have:
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.