Angle A and angle B are congruent, because they are on a line, and if the middle angle is in the middle, then the two outer angles would be congruent.

Hope this helps! :)

6 0

3 years ago

Mr. Smith invests a certain amount of money at 8% and twice as much at 5%. If his annual income from the two investments is $720

professor190 [17]

The amount invested by Mr.Smith in 5% is $240 .

<u>Step-by-step explanation:</u>

We have , Mr. Smith invests a certain amount of money at 8% and twice as much at 5%. If his annual income from the two investments is $720 . Let us suppose that Mr.Smith invest $x so :

Amount of money invested in 5% is $\frac{5x}{100}$ . And, amount of money invested in 8% is twice that of 5% i.e. $\frac{(2)5x}{100} = \frac{10x}{100}$ .

Now, total investment is $720 so,

$\frac{5x}{100}$ +( $\frac{(2)5x}{100} = \frac{10x}{100}$ ) = $720

⇒ $\frac{5x}{100} + \frac{10x}{100} = 720$

⇒ $\frac{15x}{100} = 720$

⇒ $\frac{100(720)}{15} = x$

⇒ $x = 4800$

The amount invested by Mr.Smith in 5% is $\frac{5x}{100}$ i.e. $\frac{5(4800)}{100} = 240$ . ∴ The amount invested by Mr.Smith in 5% is $240 .

8 0

3 years ago

JKL is an isosceles triangle. Is KM the height of JKL? Explain

Alex

Answer:

Depends

Step-by-step explanation:

IF Line KM is an angle bisector of K & a line bisector of JL, then JKL is an isosceles triangle (that is, if only JK and JL are congruent, and KL is not congruent to the other 2 sides).

6 0

4 years ago