Answer:
7.5
Step-by-step explanation:
Lets define what we're looking for, the "number", to be equal to x.
number = x
Following the questions hints:
" The sum of twice a number and three times a number"
(2x) + (3x)
is (which means equals to basically)
" triple the quantity of five more than a number"
3(x+5)
We connect all of this to find the number and get:
(2x) + (3x) = 3(x+5)
5x = 3x + 15
5x -3x = 15
2x = 15
x = 15/2
x = 7.5
The first one is 5
The second one is 3
KL is 7.
Since LMN~XYZ, that means m∠N = m∠Z.
Since the angles are the same, we also know that
sin N = sin Z
Sine is the ratio of the opposite side to the hypotenuse of a right triangle. The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ. That gives us:
x/28 = 3/12
Cross multiply the proportion:
12*x = 28*3
12x = 84
Divide both sides by 12:
12x/12 = 84/12
x = 7
14.7 for the first one.
31.6 for the next one
7,24.25 is the next one
9,40.41 is the last one..............................
Answer:
108 votes
Step-by-step explanation:
There were 180 votes in the election and Jordan received 10% of them.
180 × 0.10 = 18
Jordan received 18 votes the first time. This year, he received 6 times as many votes.
18 × 6 = 108
Jordan received 108 votes this year.
Hope that helps.
