Part 2 of math help dont take this down I have 2 questions taken down I think so not this one
2 answers:
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<u>Given</u><u> info</u><u>:</u><u>-</u> In triangle (∆)ABC , in which ∠A = 2x, ∠B = x+15° and ∠C = 2x + 10°. Then find the value of x , also find the measure of each angles of a triangle.
<u>Explanation</u><u>:</u><u>-</u>
Let the angles be 2x, x+15 and 2x+10 respectively.
∵ Sum of the three angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180° [Sum of ∠s of a ∆=180°]
→2x + x+15 + 2x+10 = 180°
→ 2x + x + 2x + 15 + 10 = 180°
→ 3x + 2x + 15 + 10 = 180°
→ 5x + 15 + 10 = 180°
→ 5x + 25 = 180°
→ 5x = 180°-25
→ 5x = 155°
→ x = 155°÷5 = 155/5 = 31.
Now, finding the measure of each angles of a ∆ABC by putting the original value of “x”.
∴ ∠A = 2x = 2(31) = 62°
∠B = x+15 = 31 + 15 = 46°
∠C = 2x + 10 = 2(31) + 10 = 62 + 10 = 72°.
Answer:
Average income of Eric for the remaining 8 months =
Step-by-step explanation:
Given: Average income of Eric for the first 4 months of the year is equal to $1,450.25
To find: average income for the remaining 8 months so that his average income for the year is $1,780.75
Solution:
Average income = Total income for the year/Total number of months
Average income of Eric for the first 4 months = $1,450.25
So,
Total income of Eric for the first 4 months = 1,450.25 × 4 = 5801
Let x denotes total income of Eric for the remaining 8 months
Total income for the year = 5801 + x
Therefore,
Average income for the year =
Also, average income for the year is $1,780.75
Total income of Eric for the remaining 8 months = $15568
Average income of Eric for the remaining 8 months =