Find the measure of angle X
2 answers:
You might be interested in
Answer:
10 pounds
Step-by-step explanation:
You forgot the inequality sing, but since Antoine can't spend more than $18.20, I am positive that the sign is (Antony can spend $18.20 or less than $18.20).
Therefore, our inequality is:
where is the pounds of oranges
Let's solve step-by-step to find how many pounds of oranges he can buy
Step 1. Subtract 5.20 fro both sides of the inequality
Step 2. Divide both sides of the inequality by 1.30
We can conclude that Antony can buy 10 pounds of oranges.
Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F =
m∠D = °.
Now, let m∠A = m∠B =
So, m∠C = m∠A + 30° =
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D =
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.