<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:
Step-by-step explanation:
The negative of a negative is the opposite positive number. When you subtract a positive integer from a negative integer, the difference is always negative. When you subtract two negative integers and the first integer is smaller than the second integer , the difference is negative.
440 times 3 will give you how far you can drive on 60 gallons
The formula for finding the area of a square is:
The formula for finding the area of a triangle is:
So for the square the area would be:
The area for the triangle would be:
Answer:
There were 62 deaths
Step-by-step explanation:
In this question, we are asked to calculate the number of robberies in 2012.
From the question we can identify that the number of robberies were up 50% to 93. What this means is that the number is simply 150% of the old number.
Now, let’s represent the number of deaths in 2012 by x
Mathematically;
150% of x = 93
150/100 * x = 93
150x = 93 * 100
150x = 9300
x = 9300/150
x= 62
This means there were 62 deaths in the year 2012
