Answer:
The measure of angle B is 68° and the measure of angle C is 22°
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
m∠B+m∠C=90° -----> equation A
m∠B=3(m∠C)+2 ----> equation B
Substitute equation B in equation A and solve for m∠C
3(m∠C)+2+m∠C=90
4(m∠C)=90-2
4(m∠C)=88
m∠C=88/4
m∠C=22°
Find the value of m∠B
m∠B=3(22)+2=68°
therefore
The measure of angle B is 68° and the measure of angle C is 22°
8 days because 4/5 = 8/10 and he is using 1/10 a day.
Find the diameter then multiply by pi
1. 22 - 3x + 7x = 4(x + 5)
22 - 3x + 7x = 4x + 20
<u> +3x +3x +3x </u>
22 + 10x = 7x + 20
<u> -7x -7x </u>
22 + 3x = 20
<u>-22 -22</u>
<u>3x</u> = -<u>2</u>
3 3
x = -2/3
2. 6(2x - 3) = 3(3 - 5)
12x - 18 = 3(-2)
12x - 18 = -6
<u> +18 +18</u>
<u>12x</u> = <u>12</u>
12 12
x = 1
3. 6x - 14 = 2(3x - 7)
6x - 14 = -3x
6x - 14 = 2(-7)
6x - 14 = -14
<u> +14 +14</u>
<u>6x</u> = <u>0</u>
6 6
x = 0
4. 6x + 3(x - 4) = 8(x - 3)
6x + 3x - 12 = 8x - 24
9x - 12 = 8x - 24
<u>-8x -8x </u>
x - 12 = -24
<u> +12 +12</u>
x = -12
Answer:
Final answer is approx 6.644 years.
Step-by-step explanation:
Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.
So we can use growth formula:
Then we get equation for motorcycles and cars as:
Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:
Hence final answer is approx 6.644 years.
