Answer:
x =10
Step-by-step explanation:
Using the pythagoras theorem om one of the right triangle;
(√74)² = (x/2)²+7²
74 = (x/2)²+49
(x/2)² = 74 - 49
(x/2)² = 25
Square root both sides
√ (x/2)² = ±√25
x/2 = ±5
x = 2 * ±5
x = ±10
Hence the value of x is 10
Solution:
<u>Note that:</u>
To find the solution to the proportion, we will need to simplify the equation (4/7 = 10/x)
- 4/7 = 10/x
- => 4x = 70
- => x = 70/4 = 35/2 = 17.5.
Hoped this helped!
Answer:
B) AD/DE = BD/AD
Step-by-step explanation:
The general form of the geometric sequence is

, where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1. Our formula then looks like this:

. Simplify it to

. Take 2 to the 9th power then multiply it by -6 to get -3072. C is your answer.