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Ludmilka [50]
3 years ago
12

PLEASE HELP !!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Aleksandr [31]3 years ago
6 0

Answer:

D: 4 units

Step-by-step explanation:

Svetradugi [14.3K]3 years ago
4 0

Answer:

4 units!

Step-by-step explanation:

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Let the positive numbers a, b, c. Prove that <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2013%7D%2Bb%5E%7B2013%7D%2Bc%5E%
Serggg [28]

Answer:

I don't need to prove it, I already believe you

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3 years ago
State the third congruent part to prove the two triangles congruent by SSS. Write the triangle congruence statement
Alekssandra [29.7K]

Answer:

  • ΔCBA ≅ ΔDEF

Step-by-step explanation:

The question in text and on the picture are different.

Going by picture.

When stating the congruence, it is important to stick to right order of vertices.

The first triangle is ΔCBA

<u>Corresponding angles are:</u>

  • ∠C ≅ ∠D, ∠B ≅ ∠E, ∠A ≅ ∠ F

<u>Therefore the second triangle is:</u>

  • ΔDEF
7 0
3 years ago
Read 2 more answers
Patty are is. 3 times audreys age plus 7. Party is 37. What is audreys age?
omeli [17]

Answer:

19

Step-by-step explanation:

37/3= 12. something

12+7+19

4 0
3 years ago
A door of a lecture hall is in a parabolic shape. The door is 56 inches across at the bottom of the door and parallel to the flo
Arada [10]

Answer:

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. (See attachment included below). Head must 15.652 inches away from the edge of the door.

Step-by-step explanation:

A parabola is represented by the following mathematical expression:

y - k = C \cdot (x-h)^{2}

Where:

h - Horizontal component of the vertix, measured in inches.

k - Vertical component of the vertix, measured in inches.

C - Parabola constant, dimensionless. (Where vertix is an absolute maximum when C < 0 or an absolute minimum when C > 0)

For the design of the door, the parabola must have an absolute maximum and x-intercepts must exist. The following information is required after considering symmetry:

V (x,y) = (0, 32) (Vertix)

A (x, y) = (-28, 0) (x-Intercept)

B (x,y) = (28. 0) (x-Intercept)

The following equation are constructed from the definition of a parabola:

0-32 = C \cdot (28 - 0)^{2}

-32 = 784\cdot C

C = -\frac{2}{49}

The parabolic shape of the door is represented by y - 32 = -\frac{2}{49}\cdot x^{2}. Now, the representation of the equation is included below as attachment.

At x = 0 inches and y = 22 inches, the distance from the edge of the door that head must observed to avoid being hit is:

y -32 = -\frac{2}{49} \cdot x^{2}

x^{2} = -\frac{49}{2}\cdot (y-32)

x = \sqrt{-\frac{49}{2}\cdot (y-32) }

If y = 22 inches, then x is:

x = \sqrt{-\frac{49}{2}\cdot (22-32)}

x = \pm 7\sqrt{5}\,in

x \approx \pm 15.652\,in

Head must 15.652 inches away from the edge of the door.

8 0
3 years ago
Solve this system of equations by
makvit [3.9K]

Answer:

x=4 and y=11

Step-by-step explanation:

x+y=15

5x-y=9

x+5x-y+y=15+9

6x=24

X=4

x+y=15

4+y=15

y=11

6 0
3 years ago
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