<u>Given</u>:
The given circle with center at C. The lines AB and AD are tangents to the circle C.
The length of AB is (3x + 10)
The length of AD is (7x - 6)
We need to determine the value of x.
<u>Value of x:</u>
Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".
We shall determine the value of x using the above property.
Thus, we have;
AB = AD
Substituting the values, we get;
Subtracting both sides of the equation by 7x, we get;
Subtracting both sides of the equation by 10, we get;
Dividing both sides of the equation by -4, we get;
Thus, the value of x is 4.
Answer:
B) First, find two areas using (4m x 10m = 40m2) and (8m x 3m = 24m2). Next, add (40m2 + 24m2 = 64m2).
Step-by-step explanation:
Samuel should is looking to find the area of his basement in order to cover it with carpet.
An area is calculated by multiplying two dimensions (so answers A and D are not it).
Best solution is to divide the area into two large rectangles then ADD them together to get the total area.
The only scenario where he could have subtracted something based on his plan is if he would have multiplied the 10m by the 12m then subtracted the area that is not part of his basement (7mx8m). He would have achieved the same result of course, but by going a different way.
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°, that is
∠ 1 + ∠ 2 + ∠ 3 = 180°
Given ∠ 1 + ∠ 2 = 134°, then
134° + ∠ 3 = 180° ( subtract 134° from 180° )
∠ 3 = 46° → D
Smaller number, if it's 8 x 1/8 you will get 1.
Answer:
b = 40
Step-by-step explanation:
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.
This situation can be described by an equation of the form y=mx+b , where
x = the time in hours
y = the cost in dollars.
What is the value of b in this equation?
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair
Writing the above in an equation =
y = $70 × x + $40
y = 70x + 40
Therefore, the value of b in the expression = 40
