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alina1380 [7]
3 years ago
8

Which statement is an example of the transitive property of congruence?

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

  B.  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

Step-by-step explanation:

The transitive property in general says ...

  if a=b and b=c, then a=c

The transitive property of congruence replaces the equal sign with a congruence symbol, and replaces a, b, c with any geometric figure. Here, the geometric figures used are triangles KLM, PQR, and STU.

  If ΔKLM ≅ ΔPQR and ΔPQR ≅ ΔSTU, then ΔKLM ≅ ΔSTU

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Maggie bought 45 oz of flour for her bakery. She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin. How many muf
butalik [34]

Answer:

18 muffins

Step-by-step explanation:

Amount of flour Maggie used

Total amount of flour she bought - Amount of flour left over.

= 45oz - 14.72 oz

= 30.28 oz of flour

She used 17.5 oz to make a loaf of bread, and 0.71 oz for each muffin.

Hence,

Let the number of muffins = x

17.5 + 0.71x = 30.28

0.71x = 30.28 - 17.5

0.71x = 12.78

x = 12.78/0.71

x = 18 muffins

Therefore, Maggie made 18 muffins

6 0
3 years ago
How many math books and English books did Nicole purchase?
Ksju [112]
Create a system if equations to solve this.

First equation:
25m + 24e = 220

Second equation:
m + e = 9

Then you must solve the second equation for a variable.

Change m + e = 9 to e = 9 - m.

Then substitute (9 - m) for e in the first equation.

So 25m +24e = 220 becomes 25m + 24(9 - m) = 220.

Now you can solve the first equation because the only variable in it is m.

25m + 24(9 - m) = 220 (Original equation)
25m + 216 - 24m = 220 (Distribute)
m + 216 = 220 (Combine like terms)
m = 4 (Simplify)

Now plug in 4 for m in the second equation.

m + e = 9 (Original equation)
(4) + e = 9 (Substitute)
e = 5 (Simplify)

m represents Math Books and e represents English Books, so Nicole purchased 4 Math Books and 5 English Books.
6 0
3 years ago
Solve using elimination.<br> 2x – 3y = -7<br> -8x + 3y = 19
Brums [2.3K]

Answer:

-2,1

Step-by-step explanation:

5 0
3 years ago
What is 5 multiple of 6
SCORPION-xisa [38]

your answer would be 30


<em>HOPE THAT HELPS!!!</em>

3 0
3 years ago
You went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items. How much is the final bill if you apply
Alina [70]

We have been given that you went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items.

Let us find the amount of taxable items by subtracting amount of non-taxable items from total bill.

\text{Amount of taxable items}=\$75-\$45.50

\text{Amount of taxable items}=\$29.50

We have been given that the rate of tax is 7.5% to the taxable items. To find the amount of tax, we will find 7.5% of $29.50.

\text{Amount of tax}=\$25.50\times \frac{7.5}{100}

\text{Amount of tax}=\$25.50\times 0.075

\text{Amount of tax}=\$2.2125  

Final amount of bill would be amount of bill plus amount of tax.

\text{Final amount of bill}=\$75+\$2.2125

\text{Final amount of bill}=\$77.2125

Therefore, final amount of bill would be \$77.2125.

5 0
3 years ago
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