There are two circles with center A and D. The tangent line touches both point B and C. The given measurements are enough to solve for the missing value and the solution is shown below:
AB=9
BC=26
DC=8
Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:
c²=a²+b²
c²=9²+26²
c=AC=27.51
Solve for angle of A
sin A=26/27.51
A=70.93°
Finally, we solve for the length of AD using SOH
sin 70.93°=AD/27.51
AD=26
The answer is 26.
Answer:associative property?
Step-by-step explanation: because you adding
Divide the new length by the original length:
Scale factor = 2/14
Simplified = 1/7
Answer:
63 gallons.
Step-by-step explanation:
If 30% of water is used outdoors, that leaves 70% to be used indoors. Since an average person uses 90 gallons, all we need to do is fine 70% of 90 gallons. To do this, we have to multiply 90 by 0.7:
90 * 0.7 = 63
In conclusion, 63 gallons of water are used indoors.
