Answer:
The Answer is: 63°
Step-by-step explanation:
The angle 117° is the key information. Across the line, the angle 117° is part of the 180° across the line. Angle RMN is equal to 180° - 117° = 63°
<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:
16.4 m²
Step-by-step explanation:
length = 4.6 m
breadth = 360 cm = 360 ÷ 100 = 3.6 m
Perimeter = 2*(l + b)
= 2 * ( 4.6 + 3.6)
= 2 * 8.2
= 16.4 m²
Answer:
i don't undertsand this question
10t = b - 4
12b+8t = $348
This is a system of equations. I’ll be solving through substitution.
In the first equation. solving for b (the easier variable to isolate) gives you:
b = 10t + 4
Substitute this into the second equation:
12(10t+4) +8t = 348
120t+48+8t = 348
128t = 300
t = 2.34375 —> round it to the nearest cent to get 2.34 dollars
b = 10t+4
b = 10(2.34)+4
b = 27.4 dollars