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3 years ago

BRAINLIEST FOR CORRECT ANSWER + 17 points

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

8 0

Answer:

D. M and O are similar but not congruent.

Step-by-step explanation:

To begin, let's eliminate some options.It can't be A. M and O are similar and congruent because M and O aren't congruent because they are different sizes. It cannot be B. O and N are similar and congruent because they aren't congruent since they're different sizes. Lastly, it cannot be C. M and N are similar but not congruent, because these two are actually congruent.

MA_775_DIABLO [31]3 years ago

4 0

M and O are similar but not congruent

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Using the rule of 72, how long will it take for the principal to double with an annual compound interest rate of 6%?

I am Lyosha [343]

Answer:

C. 12

Step-by-step explanation:

With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double

72 ÷ 6 = 12

7 0

4 years ago

Solve the following equation by factoring:9x^2-3x-2=0

olya-2409 [2.1K]

Answer:

The two roots of the quadratic equation are

$x_1= - \frac{1}{3} \text{ and } x_2= \frac{2}{3}$

Step-by-step explanation:

Original quadratic equation is $9x^{2}-3x-2=0$

Divide both sides by 9:

$x^{2} - \frac{x}{3} - \frac{2}{9}=0$

Add $\frac{2}{9}$ to both sides to get rid of the constant on the LHS

$x^{2} - \frac{x}{3} - \frac{2}{9}+\frac{2}{9}=\frac{2}{9}$ ==> $x^{2} - \frac{x}{3}=\frac{2}{9}$

Add $\frac{1}{36}$ to both sides

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{2}{9} +\frac{1}{36}$

This simplifies to

$x^{2} - \frac{x}{3}+\frac{1}{36}=\frac{1}{4}$

Noting that (a + b)² = a² + 2ab + b²

If we set a = x and b = $\frac{1}{6}\right)$ we can see that

$\left(x - \frac{1}{6}\right)^2$ = $x^2 - 2.x. (-\frac{1}{6}) + \frac{1}{36} = x^{2} - \frac{x}{3}+\frac{1}{36}$

$\left(x - \frac{1}{6}\right)^2=\frac{1}{4}$

Taking square roots on both sides

$\left(x - \frac{1}{6}\right)^2= \pm\frac{1}{4}$

So the two roots or solutions of the equation are

$x - \frac{1}{6}=-\sqrt{\frac{1}{4}}$ and $x - \frac{1}{6}=\sqrt{\frac{1}{4}}$

$\sqrt{\frac{1}{4}} = \frac{1}{2}$

So the two roots are

$x_1=\frac{1}{6} - \frac{1}{2} = -\frac{1}{3}$

and

$x_2=\frac{1}{6} + \frac{1}{2} = \frac{2}{3}$

7 0

2 years ago

Help me pls i’ll give brainliest to whoever is right!

Whitepunk [10]

Answer:

M=10

Step-by-step explanation:

Hope this helped :3

it was hard to describe it typed so I drew it on the picture.

to find slope:

(x2-x1) / (y2 - y1)

here a website to help you find slope a little better :3

https://www.omnicalculator.com/math/slope

7 0

3 years ago

A bus averages 8 miles per hour faster than a trolley. If the bus travels 60 miles in the same time it takes the trolley to tr

hammer [34]

Answer:

Bus speed: 22 mph; Trolley speed: 14 mph

Step-by-step explanation:

Let rb represent the speed of the bus and rt the speed of the trolley. Then rb = rt + 8 (mph).

Recall that distance = rate times time. Two different distances and two different speeds are involved here, but only one time.

Thus,

60 mi 44 mi

--------------------- = time (same in both cases) = -------------

rt + 8 mi/hr rt

Cross-multiplying, we get 44rt + 8(44) = 60 rt, or

352 = 16rt.

Solving this for rt, we get rt = speed of bus = 352/16 = 22 mph

The speed at which the bus travels is 22 mph and that at which the trolley travels is (22 mph - 8 mph) = 14 mph

3 0

4 years ago

Three friends earned more than $200 washing cars. They paid their parents $28 for supplies and divided the rest of money equally

Annette [7]

Earned more than, so over $200. we don't know the EXACT amount, but whatever that amount is 28 dollars is being taken off. Then they split the money, so I write an inequality. (just think of it at a number line k)

<----------O_____
__________

I couldn't really do better, sorry if I didn't help much.. :( but if I did pls leave a thanks :D

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3 years ago