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Natalka [10]
2 years ago
15

Casey builds the gate shown to the right, with two solid triangular panels. Each support post runs 10 cm above and below the gat

e. Are the solid panels congruent? Explain

Mathematics
1 answer:
Evgen [1.6K]2 years ago
6 0

Answer:

Congruent

Step-by-step explanation:

There are two triangular panels ΔABC and ΔDBE used in the gate.

Since, ∠ABC ≅ ∠DBE [Given]

∠ACB ≅ ∠DBE [Given]

AB ≅ DE [Given]

Therefore, by AAS postulate of congruence, both the triangles will be congruent.

ΔABC ≅ ΔDBE

Hence, we can say that the solid panels used in the gate are congruent.

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Cant figure this one out.

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Benjamin bought a 5-pound bag of flour for $7.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
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Answer:

7.95 divided by 5 times 16 so 7.95 divided by 80= so about 10 cents

Step-by-step explanation:

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2 years ago
If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7.5
Likurg_2 [28]

Answer:

The length of the hypotenuse is 30 feet

Step-by-step explanation:

Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.

For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.

Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Mathematically;

let’s say the hypotenuse is length h feet

h^2 = {15√(2)}^2 + {15√(2)}^2

h^2 = (225 * 2) + (225 * 2)

h^2 = 450 + 450

h^2 = 900

h = √(900)

h = 30 feet

4 0
2 years ago
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Divide 4p2 + 6 by 2p – 2. Which statements are true about the division? Select three options. The divisor is 2p – 2. The dividen
Dahasolnce [82]

Answer:

The answer to your question is below

Step-by-step explanation:

1.

                                           2p    +  2                       ⇒  Quotient

Divisor    ⇒     2p - 2        4p²   +   0p  +  6            ⇒ Divident

                                        -4p²    +   4p

                                           0      +  4p  + 6

                                                   -  4p   + 4

                                                        0   + 10             ⇒ Remainder

2. The dividend is 4p2 + 0p + 6.

The quotient is 2p + 2 + .

The remainder over the divisor is     10 / (2p - 2)  .

To check the answer, multiply 2p + 2 + times 4p2 + 0p + 6 and verify that it equals the divisor.

                  (2p - 2)(2p + 2) = 4p⁴ + 4p - 4p - 4

                                           = 4p⁴ - 4 + 10

                                          = 4p⁴ + 10

5 0
2 years ago
Liliana used 444 dark power crystals to raise 141414 zombie soldiers. She wants to know how many zombie soldiers (z)(z)left pare
Mariulka [41]

Question is bit incorrect, Correct question is given below.

Liliana used 4 dark power crystals to raise 14 zombie soldiers. She wants to know how many zombie soldiers (z) she can raise with 10 dark power crystals. How many zombie soldiers can Liliana raise with 10 power crystals?

Answer:

Liliana can raise 35 zombie soldiers.

Step-by-step explanation:

Let the number of zombie soldiers raised by 10 dark power crystals be 'z'.

Zombie raised by 4 power crystals = 14

Since the number of zombie and power crystals are in direct proportion.

Therefore, we get

\frac{z}{10}=\frac{14}{4}

Multiply 10 on both the sides, we get

z=\frac{14}{4}\times 10 = 35

Hence, Liliana can raise 35 zombie soldiers.

7 0
2 years ago
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