Answer:
m<ABC=94°
m<BCD=25°
m<ACB=43°
Step-by-step explanation:
To find <mBCD
m<ABD=133°, so m<CBD=133° too.
A triangle is equal to 180°.
22°+133°=155°
80°-155°=25°
To find <mACB
You first need to know triangle ACD measurements.
m<ADC=44° (22°+22°)
Then you take the two 25 and add them.
25°+25°=50°
50°+44°=94°
180°-94°=86°
86°÷2=43°
To find m<ABC
43°+43°=86°
180°-86°=94°
Multiply the number of hours by the pay per hour:
30 hours x 10.15 per hour = $304.50
Answer:
The smallest positive number is 8
Step-by-step explanation:
let the smallest positive number = x
45 is a multiple of 9 ⇒ 9 x 5 = 45
the next multiple of 9 after 55 is 63
= 9 x 7
= 63
Thus, x + 55 = 63
x = 63 - 55
x = 8
The greatest common factor of 45 and 63 = 9
Therefore, the smallest positive number is 8
B. 51 pounds.
<span>You multiply your weight on Earth (170) and the Alien's weight one Jupiter (120) and divide it by your weight on Jupiter (400).</span>
So, r' (the new r) becomes kr, and h'=h*k,
so V' = pi * (r')^2*h' = pi * (r*k)^2*(h*k) = pi*r^2*h*k^3 = V * k^3
Convinced?