Answer: 5
Step-by-step explanation:
Since , by the corresponding angles theorem,
. This means
by AA.
As corresponding sides of similar triangles are proportional,
However, as distance must be positive, we consider the positive solution, x=5.
Therefore, the answer is <u>5</u>
Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 4)² + (y + 6)² = 16 is in this form
with r² = 16 ⇒ r = = 4
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given (h, k) = (5, 2) and r = 20, then
(x - 5)² + (y - 2)² = 400 ← represents the delivery area
This is called a "substitution problem" is where you have variable that have defined values and plug them in value calculate the expression.
B = 3m + 2p # Starting equation
2 = (3)(5) + 2p # Substitution
2 = 15 + 2p # Multiplication
-13 = 2p # Subtract 15 from both sides
= p # Divide both sides from 2
p = # Use the reflexive property of equality
Hope this helps!