Answer:
Option (A)
Step-by-step explanation:
Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.
m(∠FEC) = ![\frac{1}{2}[m(\text{arc FC})-m(\text{arc})FD]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Barc%20FC%7D%29-m%28%5Ctext%7Barc%7D%29FD%5D)
(15 + 6x)° = ![\frac{1}{2}[(24x - 6)^{\circ}-(9+7x)^{\circ}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%2824x%20-%206%29%5E%7B%5Ccirc%7D-%289%2B7x%29%5E%7B%5Ccirc%7D%5D)
30 + 12x = (24x - 7x) - (6 + 9)
30 + 12x = 17x - 15
17x - 12x = 30 + 15
5x = 45
x = 9
m(∠FED) = (15 + 6x)
= 15 + 6(9)
= 69°
Option (A) will be the correct option.
The two numbers are -6 and 7
<em><u>Solution:</u></em>
Given that eight times a number plus five times another number is -13
The sum of two numbers is 1
To find: the two numbers
Let the two numbers be "a" and "b"
From given information,
Eight times a number plus five times another number = -13
eight times a number "a" + five times another number "b" = -13
8a + 5b = -13 ---- eqn 1
Also given that sum of two numbers is 1
sum of two numbers = 1
a + b = 1 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>
From eqn 2,
a = 1 - b ----- eqn 3
Substitute eqn 3 in eqn 1
8(1 - b) + 5b = -13
8 - 8b + 5b = -13
8 - 3b = -13
-3b = -13 - 8
-3b = -21
<h3>b = 7</h3>
Substitute b = 7 in eqn 3
a = 1 - 7
<h3>a = -6</h3>
Thus the two numbers are -6 and 7
Answer: 4095
<u>Step-by-step explanation:</u>
He sold 1 car on the first day so the first term (a) is 1. The amount doubles each month so the ratio (r) is 2.
Input those values into the Sum formula:
