Answer:
B- 3 by 7 by 9 is the only right answer.
Step-by-step explanation:
What is a triangle?
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted.
Basic rule:
A triangle must be tri-sided, means it must have three sides which is only possible if the sum of the smaller two sides is greater than the third side. Otherwise, a triangle is not physically possible.
A- 2+3 = 5 hence not a triangle.
B- 3+7 > 9 hence a triangle.
C- 4+5 < 9.5 hence not a triangle.
D- 5+6 < 12 hence not a triangle.
Answer:
<P = 26 degrees
<N = 130 degrees
Step-by-step explanation:
The sum of angle of a triangle is 180, hence
<M + <N + <P = 180
If the Measure of angle N is five times the Measure of angle P, then;
<N = 5<P
<M = 24 degrees
Substotute into the formula
24 + 5<P + <P = 180
24 + 6<P = 180
6<P = 180-24
6<P = 156
<P = 156/6
<P = 26 degrees
Since <N = 5<P
<N = 5(26)
<N = 130 degrees
Hence the measure of <P is 26 degrees and that of <N is 130 degrees
Using simple interest, it is found that $13,872 was loaned at 9%.
<h3>Simple Interest</h3>
The amount of money after t years in simple interest is modeled by:
In which:
- r is the interest rate, as a decimal.
The interest earned is:
A bank loaned out $14000, in two parts, hence:
Part of it at the rate of 9% per year and the rest at 17% per year, hence:
The interest received in one year totaled $2000, hence:
Then:
Isolating 
as a function of 
, then we can replace on the equation for the first interest.
Then:
$13,872 was loaned at 9%.
To learn more about simple interest, you can take a look at brainly.com/question/25296782
Answer:
3 cups
Step-by-step explanation:
<u>2 cups = 1 pint:</u>
We can set up and equation.
1 1/2 pints/1 * 2 cups/1pints
So, 1 1/2 * 2 = 3 cups.
13)
x+20 add x+21 = 23
41 + 2x = 23
2x =23 - 41
2x = -18
x = -9
x equals minus nine
15)
2x + 26 = x +20
2x - x = 20 - 26
x = -6
