Answer:
x = 2
Step-by-step explanation:
AB is given as 3(3x-1) multiply inside the parenthesis with 3
AB = 9x - 3
AC is given as 5(2x+2) multiply inside the parenthesis with 5
AC = 10x + 10
if B is midpoint of AC then AB = BC and AC = AB + BC if we write this equation using the given values
9x - 3 + 9x - 3 = 10x + 10 add like terms
18x - 6 = 10x + 10 transfer like terms to the same side of the equation
18x - 10x = 10 + 6
8x = 16 divide both sides by 8
x = 2 replace x with 2 in given expressions to find the value of each component
Using proportions, it is found that Mason ran 620 meters.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the ratio, the <em>rule of three</em> is given as follows:
2 laps for Mason - 3 laps for Laney.
n meters for Mason - 930 meters for Mason.
Applying cross multiplication:
3n = 930 x 2
n = 930 x 2/3
n = 620
Mason ran 620 meters.
More can be learned about proportions at brainly.com/question/24372153
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Length of the base = 16 km.
Length of the hypotenuse = 34 km. 
✎ The length of the missing leg ''
".
The length of the missing leg "a" is
.
Using Pythagoras theorem, we have
Hence verified. ✔
Answer:
4 feet, 5.1 inches
Step-by-step explanation:
Given that Lana received 18 ounces of candy and Tom received 4 times as much candy as Lana received, then the number of candy Tom received is given by 4(18) = 72.
Now, given that Tom divided his candy evenly into 9 piles. Then the number of ounces of candy in each of Tom's piles is given by:
72/9 = 8 ounces.
