Which of the following terms correctly describe the object below?
Check all that apply.

"When the sides are congruent (same direction and size), and the two opposite sides are parallel, the angles are the same. In an isosceles triangle, two angles are congruent, because two sides are congruent."

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Answer:

-48

Step-by-step explanation:

First You put The question in Order

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Answer:

Area of the rectangular pyramid is 82.8m²

Step-by-step explanation:

Given

Number of rectangle = 1

Number of triangles = 4

Dimension of Rectangle = Length = 6 metres; Height = 2 metres

Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres

Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres

Required

Area of the Rectangular Pyramid

To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;

Calculating the area of the rectangle;

Area = Length * Height

Area = 6m * 2m

Area = 12m²

Calculating the area of the first two triangles;

Base = 6 metres and Height = 8.8 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 6m * 8.8m

Area = 26.4m²

Area of two triangles = 2 * 26.4m²

Area of two triangles = 52.8m²

Calculating the area of the other two triangles;

Base = 2 metres and Height = 9 metres

Area of a triangle = 0.5 * Base * Height

Area = 0.5 * 2m * 9m

Area = 9m²

Area of two triangles = 2 * 9m²

Area of two triangles = 18m²

The area of the pyramid is the summation of the above calculations;

Area of Rectangular Pyramid = 12m² +52.8m² + 18m²

Area = 82.8m²

Hence, the area of the rectangular pyramid is 82.8m²

Answer:

82.8

Step-by-step explanation:

I just took the test

Have a good day :)

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Answer:

Step-by-step explanation:

solution :

       y = -17

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*y+6-(-45)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  3y + 51  =   3 • (y + 17)

Equation at the end of step  1  :

Step  2  :

Equations which are never true :

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

2.2      Solve  :    y+17 = 0

Subtract  17  from both sides of the equation :

                     y = -17

    solution was found :

                  y = -17

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

We have the equation

[tex]10-(x+2)=7x[/tex]

The first thing we need to do is distribute the negative throughout the parenthesis

[tex]10-x-2=7x[/tex]

Now, we can combine like terms

[tex]8-x=7x[/tex]

Now we can add x to each side

[tex]8x=8[/tex]

And lastly, we can divide each side by 8

[tex]x=1[/tex]

Our last step is to check our answer

[tex]10-(1+2)=7(1)\\\\10-(3)=7\\\\7=7[/tex]

Answer:

1

Step-by-step explanation:

1) 10-x-2=7x

2) -x + 8 = 7x

3) 8x=8

4) x=1

Answer:

6 out of 13 (6/13)

Step-by-step explanation:

30/65

Simplify by dividing both sides by 5

6/13

Tada!

Answer:

40cm^2

Step-by-step explanation:

A=a+b/2×h

A=6+10/2*5

A=16cm/2*5cm

A=8cm*5cm

A=40cm^2

A. 3 Gallons

Step-by-step explanation:

1/3÷1/9

1/3÷1/9=1/3 x 9/1

(Then Multiply)

1x9/3x1= 9/3= 3

3 Gallons of paint

3 Galoons of paint is needed to pain the total gate.

Unit rate is defined as the ratio of two quantities used to find the amount associated with per unit of quantity.

Given that, 1/3 of a gallon of paint covers 1/9 of a gate, we need to find the total amount of paint needed to paint the whole gate,

Since,

1/3 gallons of paint is = 1/9 part of the gate,

Therefore,

1 gate = 1/3 x 9 = 3

Hence 3 Galoons of paint is needed to pain the total gate.

Learn more about unit rates, click;

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82 ÷ 15 = 5.4

Mixed number form: 5 ⁷/₁₅

Answer:

the answer is 5.4

Step-by-step explanation:

please see the attached picture

hope it helps

good luck on your assignment

Answer:

8 1/8

Step-by-step explanation:

2 4/8 plus 5 5/8

4/8 because it equals to 1/2

Answer:

8 1/8

Step-by-step explanation:

2 1/2+ 5 5/8

2 4/8 + 5 5/8

7 9/8

8 1/8

Answer:

The main principle of solving equations is to find the unknown value

Step-by-step explanation:

For example:

 [tex]x + 3 = 6[/tex]

     [tex]-3=-3[/tex]

       [tex]x=3[/tex]

I hope this helps

Answer:

The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.

Step-by-step explanation:

Answer:

D. (-3, 2)

Step-by-step explanation:

The original point is (3, -2)

The rule for reflecting across the x-axis is (x, y) -> (x, -y)

(3, -2) -> (3, 2)

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

(3, 2) -> (-3, 2)

We want to find the image of the point (3, -2) after two reflections.

The correct option is D: (-3, 2)

Now let's see how to solve this.

The first thing we need to do is describe the two reflections.

For a general point (x, y), a reflection across the x-axis will give the point (x, -y).

And a reflection across the y-axis will give the point (-x, y).

So, if we start with the point (3, -2).

Then we reflect this across the x-axis, it gives the point: (3, -(-2)) = (3, 2)

Now we have a reflection across the y-axis, it gives the point (-3, 2)

So the image of the point after the two reflections is (-3, 2), meaning that the correct option is D.

If you want to learn more, you can read:

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Answer:

Decreased.

Step-by-step explanation:

Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.

Change could be positive or negative

each is a singular description word

and drastically is just describing how fast.

have a good day!

Answer:

decreased :^)

Step-by-step explanation:

Answer:9/16

Step-by-step explanation:

Since we know it's 3/4 use

r=(3/4)²  .... [tex](\frac{3}{4} x\frac{3}{4} )[/tex] =[tex]\frac{9}{16}[/tex]

Answer: 15

Step-by-step explanation: I used the pythagorean theorem. X is a, 8 is b, and 17 is c. The squares of a and b added together are c. So I got 15.

Answer:

x=15

Step-by-step explanation:

First, you are going to find a Pythagorean Triple. As you can see from the picture you have provided, 17 ft is the longest side. So, I squared 17 and got 289. I did this because I am using the Pythagorean Theorem (a^2+b^2=c^2). Then, I squared 8 and got 64. Then, still following the Pythagorean Theorem, I subtracted 64 from 289. I got 225. Then, I found the square root of 225. I got 15. So, x=15.

Answer:

Step-by-step explanation:

When you multiply two terms with same base, add the exponents.

Example:  x*x² = x* x*x = x³

In short, x*x² = x¹⁺² = x³

[tex]y^{9}*y^{2}=y^{9+2}\\\\ = y^{11}[/tex]

Answer: 2 years

Step-by-step explanation:

SI = prt / 100

200 = ( 4200 x 2.5 x t) / 100

200 = 105 t

t = 200/105 = 1.9

Answer:

C. [tex]\frac{3}{4} / \frac{1}{8}=6[/tex]

Step-by-step explanation:

This is the expression that is shown in the graph:

[tex]\frac{3}{4} / \frac{1}{8}[/tex]

We need to calculate the answer, so...

An easier way to divide a fraction by a fraction is to multiply one of the fractions with the reciprocal of the other fraction:

[tex]\frac{3}{4} *\frac{8}{1}[/tex]

8 divided by 1 is just 8 so you can simplify it:

[tex]\frac{3}{4}*8[/tex]

[tex]=\frac{8*3}{4}[/tex]

[tex]=\frac{24}{4}[/tex]

[tex]=6[/tex]

Answer:

the one with 47:is 43

the one with 52 is 38

the one with 63 is 27

and the one with 45 is 45

Step-by-step explanation:

these angles equal to 90

so you must subtract them from 90

Answer:

5: x=43

6: x=38

7: x=27

8: x=45

Answer:

the answer is B

Step-by-step explanation:

the reason is because 1.25 x the amount of pretzels he wants plus his price of his one drink will be less than or equal to the amount of money he has

Answer:

B

Step-by-step explanation:

Cost of p pretzels = 1.25 * p = $ 1.25p

cost of p pretzels and cost of a soft drink  should be less than or equal to $7.50

1.25p + 0.90 ≤ 7.50

Answer:

depende de del grueso de la cometa

Step-by-step explanation:

Answer:

x= 8in

Step-by-step explanation:

area of kite = diagonal1*diagonal2/2

60. = 15 *x. /2

->x = 60*2/15=8in

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

Answer:

A, C, and E are correct

Step-by-step explanation:

Answer:

342 ft squared

Step-by-step explanation:

You know how to find the area of a rectangle: Multiply the dimensions together (length x width).

You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.

First, find the area of the big rectangle:

18 * 25 = 450 ft squared

Now, find the area of the small one:

9 * 12 = 108 ft squared

Finally, subtract the area of the small rectangle from the area of the big one:

450 - 108 = 342 ft squared

Hope this helps! Please comment on this answer if you have any questions :)