X+y=57
y=x+15
x+x+15=57
2x=42
x=21
y=21+15
y=36
By applying Cathetus theorem, the value of x is equal to 10 units.
<h3>How to determine the value of x?</h3>
In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.
In this context, we have:
x² = m × a
x² = (21 + 4) × 4
x² = 25 × 4
x² = 100
x = √100
x = 10 units.
Read more on Cathetus theorem here: brainly.com/question/11357448
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DC/AC=EC/BC
x/(x+3)=10/16
10(x+3)=16x
10x+30=16x
30=6x
x=5
DC=x=5
DC=5 units long
10/16=DE/AB, DE=y
10/16=y/10
16*y=10*10
y=6.25≈6.3
DE≈6.3
Answer:
Step-by-step explanation:
Let the number of free throws = x
And the number of regular field goals = y
Total shots made by the team = 31
Equation for the shots will be,
x + y = 31 ------(1)
If the team gets 1 point for free throws and 2 points for a regular field goal,
x + 2y = 49 --------(2)
[total points gained by the team = 49]
1). Option (2) is the correct option.
2). Subtracting equation (1) from equation (2),
(x + 2y) - (x + y) = 49 - 31
y = 18
Therefore, number of regular field goals made by the team = 18
