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katrin [286]
3 years ago
9

Based on the information marked in the diagram, ALMO and AFGH must be

Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0

Answer:

t

Step-by-step explanation:

Tema [17]3 years ago
3 0

Answer: True!

Step-by-step explanation:

To determine if the rectangle triangles shown in the diagram are congruent, we must see if they comply with the following conditions:

1. The legs of a right triangle must be congruent to the corresponding legs of the other triangle.

2. The hypotenuse and acute angle of one of the right triangles must be congruent to the hypotenuse and the acute angle of the other right triangle.

3. A leg and the acute angle of one of them must be congruent to one leg and to the corresponding acute angle of the other right triangle.

4. The hypotenuse and a the leg of one of the triangles must be congruent to the hypotenuse and the corresponding leg of the other triangle.

When we observe the diagram attached to the problem, we can conclude that both triangles comply with the conditions mentioned before.Then, FGH and JKL are congruent.

Answer: True

Hope this helps!!! Good luck!!! ;)

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Abbey is stacking boxes of candles for a store display. The volume of each cube-shaped box is 125 cubic inches. If the display h
OLEGan [10]

The display after stacking of 6 layers of cube is 30 inches high.

Step-by-step explanation:

The volume of cubic box used by Abbey= 125 inch³

Total no of layer he has in display= 6

Height of the display-

We know that the volume of the cube is a³  

Where a is the side of the cube

Hence to find the side of the cubic box we need to find the cube root of the volume i.e. ∛125

Hence the side of each cube is 5 inch. Since all the sides for cube are equal hence the height would also be 5 inch

The total height of the display would be 6*5= 30 inches

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3 years ago
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Sindrei [870]

Answer: $24.75

Step-by-step explanation: If you minus $27.50 by 10% percent you can get the answer.

5 0
3 years ago
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Solve each system by substitution<br><br> 2x - 3y = -1<br> X + 4y = -6
lord [1]

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 3y = - 1 → (1)

x + 4y = - 6 → (2)

Rearrange (2) expressing x in terms of y by subtracting 4y from both sides

x = - 6 - 4y → (3)

Substitute x = - 6 - 4y into (1)

2(- 6 - 4y) - 3y = - 1 ← distribute and simplify left side

- 12 - 8y - 3y = - 1

- 12 - 11y = - 1 ( add 12 to both sides )

- 11y = 11 ( divide both sides by - 11 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 6 - 4(- 1) = - 6 + 4 = - 2

Solution is (- 2, - 1 )

3 0
3 years ago
Dione has 3 rolls of pennies containing 50 coins each, 4 rolls of nickels
ankoles [38]

Answer:

$94.50

Step-by-step explanation:

3(50)=150 $1.50

4(40)=160 160(5)=800 $8.00

5(50)=250 250(10)=2500 $25.00

6(40)=240 240(25)=6000  $60.00

60+25+8+1.5=$94.50

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3 years ago
The table shows some of Mr. Puhas's household expenses for the month of February. Mr. Puhas has 500 set aside for utilities. Use
klasskru [66]

Money left = money saved - cost of utilities.


Money left = 500 - 319.45


Money left = 180.55


8 0
2 years ago
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