Answer:
Solution given:
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
m∠ADC =?
Since diagonal BD bisect the angle <ADC
so
m∠ADB= m∠ADC
(4x-12)°=(3x+6)°
4x-3x=6-12
x=12+6
x=18°
again.
<ADB=m∠ADB+ m∠ADC=4×18-12+3×18+6=120°
So
<u>the m∠</u><u>ADC</u><u> </u><u>=</u><u>1</u><u>2</u><u>0</u><u>°</u>
Answer: she still has to cut off 19/16 inches.
Step-by-step explanation:
Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 inches to improper fraction, it becomes 15/4 inches.
She has already cut off 2 9/16 inches from the piece of string. Converting 2 9/16 inches to improper fraction, it becomes 41/16 inches.
Therefore, the length of string that is left for her to cut off would be
15/4 - 41/16 = (60 - 41)/16
= 19/16 inches
Answer:
0
Step-by-step explanation:
-9 x 0 is 0 and dividing anything with 0 is 0
Answer:
0.7 hours
Step-by-step explanation:
Given that Irina was able to make the same distance from work to home in 0.4 of an hour at 27 miles per hour, we can use this rate and time to find the distance she travels to and from work using the general formula:
d = rt, where d=distance, r = rate and t = time
d = 27(0.4) = 10.8 miles
Since the distance from Irina's home to work is 10.8 miles, we can again use the formula 'd = rt' to find the time it takes her to bike to work at a rate of 16 miles per hour and solving for time, 't':
10.8 = (16)t
t = 0.7 hours
. Multiplying the denominator by 
gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by 
gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so 
divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.
