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2 years ago

Are the two figures congruent?

Mathematics

1 answer:

geniusboy [140]2 years ago

6 0

Answer:

No, because the reflection of ABC is not congruent to A’B’C’.

Step-by-step explanation:

we know that

The rule of the reflection across the line y=x is equal to

(x,y) -------> (y,x)

A(-6,6) -------> A'(6,-6) ----> is ok

B(-3,3) ------> B'(3,-3) ----> is ok

C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)

therefore

The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’

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If h(x) = 2x^2 , then h(-2) + 5=_________

Vaselesa [24]

Answer:

Step-by-step explanation:

Given the equation h(x) = 2x²

To solve for h(-2) + 5 then, we need to break the problem into two parts

First, we will solve for the function h(x) at x = -2

h(x) = 2x² so

h(-2) = 2(-2)²

h(-2) = 8

Knowing this, we can plug 8 into our original expression for h(-2)

8 + 5

This gives us 13

8 0

3 years ago

Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa

Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = $Pe^{rt}$ , where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019 , A = $ 73600

Substitute all values in formula

$73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}$

Taking natural log on both sides

$\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}$

Hence, the required time = 9.9 years.

4 0

3 years ago

Please i really need help!!! thnakss

Naddik [55]

Answer:

The first answer will be 96 batches and the second one will be 0.90 cents per batch

Step-by-step explanation:

Hope this Helped

5 0

2 years ago

Can someone explain this I dont understand it

IrinaVladis [17]

Y = mx + b

m is your slope AKA rate of change
b is the y intercept.

from the graph we can see that the y intercept (b) is 15. (look at the y axis and see what point the line crosses on the y, here it is 15, in-between 10 and 20)

slope is rate of change. to figure this out remember slope = rise over run:

$slope = \frac{rise}{run}$

so pick two points. how much does one point rise after the other point you picked? In the graph it rises 1 square so rise = 1

Now looking at the same two points, how far away from each other are they on the x axis? Looking at the graph they are 2 squares away from each other. so run = 2

Now plug these numbers into the rise over run formula:

$slope \: = \frac{1}{2}$

Now we have everything we need to put into our formula for a line:

$y = mx + b$
$y = \frac{1}{2} x + 18$

For number 16 you should get:

$y = \frac{1}{5} x + 3$

after you do the same steps again yourself

8 0

3 years ago

The cost of a whole box of chips are $60. I have $48. What percentage of the total cost do I have?

goblinko [34]

Answer:

Percentage of total I have = 80%

Step-by-step explanation:

Given:

Price of Box = $60

I Have = $48

To Find:

Percentage I have = ?

Solution:

In this question we are just supposed to find out the percentage of the Value we have so

Percentage can be found by the formula

Percentage $=\frac{Given Value}{Total}*100$ %

Now we have the values of all

So putting in the values

Percentage $=\frac{48}{60}*100$ %

$=\frac{4800}{60}$ %

= 80%

So the Percentage of total cost I have is 80%

Percentage of total = 80%

4 0

2 years ago