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Katena32 [7]
2 years ago
10

To find the slope, Jackie makes right triangle P by using the graph of the line as the hypotenuse of the triangle as shown in th

e figure. To check her work, she repeats the process and makes a right triangle Q as shown. Which statement explains why the slope of the line should be the same when calculated with either triangle?
A
The two triangles are similar.

B
The two triangles are congruent.

C
One triangle is a translation of the other triangle.

D
The lengths of the hypotenuse of each triangle are equal.

Mathematics
1 answer:
miv72 [106K]2 years ago
3 0

Answer:

A

Step-by-step explanation:

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I helped 3.6 customer per half hour yesterday. so i helped _____ customers in 7.5 hour yesterday
Serggg [28]

3.6 customers     x customers

--------------------   = ----------------

.5 hours                 7.5 hours



using cross products

3.6 * 7.5 = x * .5

divide by .5 on each side

3.6 * 7.5 / .5 =x

54 =x

You can help 54 customers

7 0
2 years ago
1. Write 3,876,943,000 using scientific notation.
Sunny_sXe [5.5K]

Answer:

3.876943x10^9

7.317x10^-4

Step-by-step explanation:

3,876,943,000

Put the decimal at the end

3,876,943,000.

Move it so only 1 number is before the decimal

3.876943000

We moved it 9 places, so that is the exponent

We moved it to the left, so the exponent is positive

The three zeros at the end can be dropped because they are the last numbers to the right of the decimal

3.876943x10^9

0.0007317

Move it so only 1 number is before the decimal

00007.317

We moved it 4 places, so that is the exponent

We moved it to the right, so the exponent is negative

The four zeros at the left can be dropped because they are the last numbers to the left of the whole number

7.317x10^-4

8 0
2 years ago
Sasha has 3.20 in U.S. coins. She has the same number of quarters and nickels. What is the greatest number of quarters she could
RSB [31]

Answer:

10 quarters = $2.50

10 nickels = $0.50

that leaves $0.20 for other coins (dimes / pennies)

Step-by-step explanation:

First, suppose she has only quarters and nickels and no other coins.  Then if C is the identical number of coins of each type, then 5C + 25C = 320, so 30C = 320 and 3C = 32, but there is no integer solution to this.  So she must have at least one other type of coin.

Assume she has only quarters, nickels, and dimes.  Then if D is the number of dimes, 5C +  25C + 10D = 320, which means 30C + 10D = 320, or 3C + D = 32.  The smallest D can be is 2, leaving 3C = 30 and thus C = 10.  So in this scenario she would have 10 quarters, 10 nickels, and two dimes to make $2.50 + $0.50 + $0.20 = $3.20.

This has to be the highest number, because if she had 11 quarters and 11 nickels, that alone would add up to 11(0.25) + 11(0.05) = $3.30, which would already be too much.

8 0
2 years ago
Read 2 more answers
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th
oksian1 [2.3K]
Equation represents the difference in the number of foreign and domestic stamps Malik collected: X-34=y

equation represents the total number of stamps Malik collected:
212 = X-34-y
so,
245= X-Y

Situation :
Y= X-34
X-Y= 245


7 0
2 years ago
Read 2 more answers
Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made
il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

Amount = P(1 + \frac{r}{2} )^{2t}

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle =  $2,900

5.5% is written in the decimal form.

= \frac{5.5}{100}

= 0.055

Time = 1 year

Put in the formula

Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}

Amount = 2900\times (1 + 0.0275 )^{2\times 1}

Amount = 2900\times (1.0275)^{2}

Amount = 2900\times 1.056\ (Approx)

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4  

Principle = $2,900

Put in the above

$3062.4   = $2,900 + Compound interest

Compound interest = $3062.4 -  $2,900

Compound interest = $162.4






8 0
2 years ago
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