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3 years ago

Given quadrilateral ABCD≅quadrilateral EFGH , which statement is true?

Mathematics

2 answers:

Mila [183]3 years ago

8 0

Answer:

idk much bout dat but id say CB~=EG

Step-by-step explanation:

Brrunno [24]3 years ago

8 0

Answer: AC ≅ EG

Step-by-step explanation:

Given : quadrilateral ABCD≅quadrilateral EFGH

We know that if two quadrilaterals are congruent then the corresponding parts are congruent.

i.e. Corresponding sides and diagonals of congruent quadrilaterals are congruent.

i.e. If quadrilateral ABCD≅quadrilateral EFGH, then

AB ≅ EF [ First two vertices ]

BC ≅ FG [Middle two vertices]

CD ≅ GH [Last two vertices]

DA ≅ GH [Last and First vertices]

AC ≅ EG [First and Third vertices]

BD ≅ FH [Second and Fourth vertices]

Therefore, the correct answer is : AC ≅ EG

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Write and solve a real-world problem that can be modeled by the equation 0.75x-18.50=0.65x Finding X the variable

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3 years ago

The largest frog in the world is the goliath,found in west africa. It can grow to be 12 inches long. The smalest in the world is

denis23 [38]

Answer:

4.8 inches

Step-by-step explanation:

Given: The largest frog in the world is goliath which is 12 inches long.

The smallest frog is about 2.5 as long as the goliath.

Lets assume the length of smallest frog be "x".

As given, smallest frog is about 2.5 as long as the goliath.

∴ we can form equation as $2.5x= 12\ inches$

Solving the equation to find the value of x

$2.5x= 12$

Dividing both side by 2.5

⇒ $x= \frac{12}{2.5}$

∴ $x= 4.8\ inches$

Hence, the length of smallest frog is 4.8 inches.

3 0

3 years ago

. Three types of shirts sold at a store cost $9.00, $11.00, and $12.50. One day, the store sells a total of 23 shirts and makes

lbvjy [14]

Answer:

X + 3y = 23

9x + 36y = 243

11 shirts sold at $9.0 per shirt, 4 shirts sold at $11 per shirt and 8 shirts sold at $12.5 per shirt

Step-by-step explanation:

-----Since we are told to assume that the number of shirts sold for $9.00 each is x, that of $11.00 is y and also that of $12.50 is z.

9x + 11y + 12.5z = 243

9x + 11y + 12.5(2y) = 243

9x + 36y = 243_______ equation 1

----- The statement also read that One day, the store sells a total of 23 shirts and makes $243 on the sales. TWICE AS MANY SHIRTS WERE SOLD FOR $12.50 THAN WERE SOLD FOR $11.00

Z = 2y

x + y + z = 23

X + y + 2y = 23

X + 3y = 23_____ equation 2

Now multiply the above by 9 to have this equation's "x" sharing the same coefficient with that of equation 1

9x + 27 = 207 will be the new one___equation 3

-----Subtract equation 3 from 1 and we have

9x + 36y = 243____ equation 1

9x + 27y = 207____ equation 3

9y = 36

Y = 4

-----Substitute y = 4 in equation 2

X + 3y = 23

X + 4(3) = 23

X + 12 = 23

X = 23 - 12

X = 11

-----Remember that x + y + z = 23

11 + 4 + z = 23

15 + z = 23

Z = 23 - 15

Z = 8.

So therefore, x =11 shirts, y = 4 shirts and z = 8 shirts

4 0

3 years ago