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3 years ago

Explain when the congruent complements theorem would be appropriate to use in a proof.

1 answer:

Natasha2012 [34]3 years ago

7 0

The congruent complements theorem 2 angles are complements of the same angle (or of congruent angles), then the two angles are congruent.

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16. Find the final balance in an account with $730 invested at 3% annual simple interest for 4 years. (1 point) $735.48 $87.60 $

podryga [215]

Answer:

$817.60

Step-by-step explanation:

Simple interest has the formula:

Simple Interest = Principal * rate * time

here,

Principal amount is $730

The rate of interest is 3%, which is 3/100 = 0.03

The time length in years is given as 4

We find the interest amount first:

SI = P * r * t

SI = 730 * 0.03 * 4

SI = 87.6

We are asked to find FINAL BALANCE, which is PRINCIPAL + INTEREST

So,

Final Balance = 730 + 87.6 = $817.60

7 0

3 years ago

Please help me find the solution

tangare [24]

Answer:

Step-by-step explanation:

BD bisects <ABC, this means the half-line divided the angle into two equal parts.

If m<ABC is equal to 44 then m<ABD is

44/2 = 22

4 0

2 years ago

Find the solution of 3 times the square root of the quantity of x plus 6 equals negative 12, and determine if it is an extraneou

Anna35 [415]

For this case we have the following equation:
$3 \sqrt{x+6}=-12$
Rewriting we have:
$\sqrt{x+6}= \frac{-12}{3}$
$\sqrt{x+6}=-4$
We raise both members of the equation to the square:
$(\sqrt{x+6})^2=(-4)^2$
Rewriting we have:
$x+6=16$
$x=16-6$
$x=10$
It's a extraneous solution because equality is not met by substituting x = 10 in the original equation:
$3 \sqrt{10+6}=-12$
$3 \sqrt{16}=-12$
$3(4)=-12$
$12=-12$
Answer:
The solution is:
$x=10$
It's a extraneous solution

6 0

3 years ago

If AE=6x-55 and EC=3x-16, find DB. (Hint: Find x first and then substitute.)

erica [24]

Given:

Given that ABCD is a rectangle.

The diagonals of the rectangle are AC and DB.

The length of AE is (6x -55)

The length of EC is (3x - 16)

We need to determine the length of the diagonal DB.

Value of x:

The value of x can be determined by equating AE and EC