Answer:
Option. 3. Ang. OPS and Ang. OPN
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Answer;
X = 18: AD = 18
Step-by-step explanation:
Here, we want to find the measure of AD
From the given image;
AB = x + 3
AD = x
AC = 24 + 4 = 28
AE = 24
Substituting these values
we have ;
(x + 3)/x = 28/24
24(x + 3) = 28x
24x + 72 = 28x
28x - 24x = 72
4x = 72
x = 72/4
x =18
Answer:
23.9
Step-by-step explanation:
His route from school to Rhianna's house to his house forms a triangle in which the sides are 7 miles and the hypotenuse is unknown. Solving using the Pythagorean theorem, we find the route from Rhianna's house back home is 7^2+7^2=x^2.
Rounding to the nearest tenth, we now know this route is 9.9 miles. Adding the total distances from each location, we get an answer of 7 + 7 + 9.9 = 23.9.
We start with:
y=2x-15
y=5x
Now, we have a perfectly set-up variable we can get rid of: <em>y.</em>
But we need to make either the top or bottom equation negative, so for simplicity, let's make the bottom one negative.
y=2x-15
(-y)=(-5x)
Now simplify.
-3x-15=0
Add 3x on both sides.
3x=15
Divide by 3 on both sides.
x=5