Answer:
Let m∠BCE = x
Then m∠ACE = x as well since CE is bisecting ∠ACB.
- m∠ACD + x + x = 180° ⇒
- m∠ACD = 180° - 2x
Consider ΔBEC
<u>Since BE = EC, the opposite angles are congruent:</u>
<u>Then:</u>
<u>Find the angle BEC:</u>
- m∠BEC = 180° - (x + x) = 180° - 2x
<u>Comparing the above we see that:</u>
This is an imaginary number = sqrt105 * i = 10i ro nearest integer
Answer:
x = 2
2x + 1 = -x +7 Add and subtract
3x = 6 divide
x = 2
Answer:
Brionny invested £8400.
Step-by-step explanation:
Simple Interest
This is a simple interest problem.
The simple interest formula is given by:

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:

In this question:
We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.
First year:
Amount of 2% interest, during 1 year.
So the interest earned is:

The total amount at the end of the first year is:

Second year:
We have that:

The interest earned is of:

The total amount is:

After two years, the investment is worth £8653.68 How much did Briony invest?
So



Brionny invested £8400.
Answer:

Step-by-step explanation:
We have been given an equivalence equation
. We are asked to find all the square root of the given equivalence equation.
Upon converting our given equivalence equation into an equation, we will get:
Add 53 on both sides:


Take square root of both sides:

Therefore, the square root for our given equation would be
.