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FromTheMoon [43]
3 years ago
14

Triangles XYZ and EFG are given and ΔXYZ≅ΔEFG by SAS. If YZ=2n−5, YX=2n−1, EG=n+8, and FG=n+5, then which of the following state

ments is true.
Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Answer:

ZY = 15

Step-by-step explanation:

ZY is congruent to GF, so you set the equation up as

2n-5 = n+5

   +5      +5

-----------------

2n = n+10

-n     -n

------------------

n = 10

After you get n, you plug it in to 2n-5 (ZY)

2(10)-5

20-5

15

ZY=15

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A fruit seller packed some apples into 15 small cartons and 20 big cartons. Each big carton contained 15 more apples than each s
ehidna [41]

Answer:

720 apples

Step-by-step explanation:

Let A be the number of apples in the small pack.

QTY for Small Cartons is 15A,

QTY for Big Cartons is 20(A+15) = 20A+300

From small cartons makes 25% or 1/4 of total, means the big carton makes 75% of total, or 3/4 of total. This also means the qty in big carton is 3 times of small carton

20A+300 = 3X (15A)= 45A

300 = 25A

A=12

Altogether = 15A+(20A+300) = 720 Apples

7 0
2 years ago
Please help me out.................
user100 [1]

Answer:

y = 15

Step-by-step explanation:

In a parallelogram, opposite lengths are equal.

So it means that the length (5y - 20) is equal to (2y + 25).

Now that there is only one variable in the equation, we can solve for the variable.

5y - 20 = 2y + 25

5y - 2y = 25 + 20

3y = 35

y = 15

5 0
3 years ago
What is 1/3 of 18500.00
choli [55]
\frac{1}{3}\ of\ 18500.00\\\\ =  \frac{1}{3}*18500.00\\\\ =\frac{1}{3}*18500.00\\\\ =6166.67
5 0
4 years ago
X² + y² = 8
ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

3 0
2 years ago
The population in Loopville decreases
mash [69]

Answer:

h is the answer

Step-by-step explanation:

5 0
3 years ago
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