please help with number 5 i don't know how to fill in the table ​

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Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

a^2 + b^2 = c^2

(BD)^2 + (CD)^2 = (BC)^2

24^2 + x^2 = 25^2

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Note that we didn't add in side BD as part of the perimeter because it is not an exterior side. Think of sides AB, BC, CE, and AE as outer walls of the house while BD is an interior wall. The perimeter is only worried about the outer walls.

96

Explanation:

Since ABDE is a rectangle, the opposite sides AE and BD are the same length. This makes BD = 24. Similarly, ED = 20 since AB = 20.

Focus on triangle BCD. Let x be the length of segment CD. We can use the pythagorean theorem to find x

576 + x^2 = 625

x^2 = 625 - 576

x^2 = 49

x = sqrt(49)

x = 7

Segment CD is 7 units long.

Since ED = 20, this means,

EC = ED + DC

EC = 20 + 7

EC = 27

The perimeter of this trapezoid is

P = sum of all exterior sides

P = AB+BC+CE+EA

P = 20+25+27+24

P = 96 units

Answer:

Step-by-step explanation:

It depends on how many tickets Marc will need.

For t tickets, Polk costs 10+2.5t and Pinellas costs 3t.

10+2.5t = 3t

t = 20

If Marc needs fewer than 20 tickets, Pinellas is the more economical choice.

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

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Answer:

.4

Step-by-step explanation:

2.80/7=.4

7 x 0.4 = 2.8

Answer:

x = 7

y = 4

Arc JKL = 262°

Step-by-step explanation:

Find the diagram attached

Using the theorem;

Sum of opposite angle of the quadrilateral is 180°

7x+131 = 180

7x = 180-131

7x = 49°

x = 49/7

x = 7

Similarly;

11x+y+99 = 180°

11(7)+y+99 = 180°

77+99+y = 180

176+y = 180

y = 180-176

y = 4

arc JKL is the obtuse angle at the centre

Arc JKL = 360-(angle at the centre)

Angle at the centre is twice angle at the circumference.

Angle at the centre = 2(7x)

Angle at the centre = 2(49)

Angle at the centre = 98°

Arc JKL = 360-98

Arc JKL = 262°

Answer:

The answer is

[tex] < a = < e = < h = < c = < g = 66 \\ < b = < f = 114[/tex]

Step-by-step explanation:

I am a math teacher If you need any explanation you can communicate with me on Whats on this number +201557831028

The correct answer is b) Sometimes.

Given that a statement,

"The sum of two numbers is __________ greater than either number."

We need to fill the blank from the options provided.

The sum of two numbers can be greater than either number depending on the specific values of the numbers.

Let's consider some examples:

Example 1: If we have two positive numbers, such as 3 and 4, their sum (3 + 4 = 7) is greater than either number individually.

Example 2: If we have one positive number and one negative number, such as 5 and -8, their sum (5 + (-8) = -3) is greater than -8 but less than 5.

Example 3: However, if we have two negative numbers, such as -2 and -4, their sum (-2 + (-4) = -6) is not greater than either number individually.

Therefore, since the statement holds true in some cases but not in others, the correct answer is sometimes (b).

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Answer:

it would be (-7,-6)

x=-7, y=-6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

x=180°/36

x=5

angle D=7x

=7(5)

D=35°

angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

F=80°

angle D=35°

angle E=65°

angle F=80°

Answer:

3

Step-by-step explanation:

Answer:

15/5, or 3

Step-by-step explanation:

8/5 + 7/5

= 8+7/5

= 15/5

= 3

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Answer:

Sqrt 245

Step-by-step explanation:

That's the answer

According to Pythagoras' Theorem

[tex]h^{2} = a^2 + b^2[/tex]

[tex]h^{2}[/tex]  [tex]= 7^{2} + 14^2[/tex]

[tex]h^{2}[/tex] = 49 + 196

h = [tex]\sqrt{245}[/tex]

According to diagram x = sqrt 245

Pythagorean hypothesis, the notable mathematical hypothesis that the amount of the squares on the legs of a right triangle is equivalent to the square on the hypotenuse (the side inverse the right point) — or, in recognizable logarithmic documentation, a2 + b2 = c2.

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Answer:

12

Step-by-step explanation:

by Pythagoras theorem,

P²+B² =H²

5²+B²=13²

B²= 13²-5²

B²= 169-25

B²= 144

B=√144

B= 12

Answer:

The black lives matter movement was a reason to tell the people that we are still all the same even though we don't have the same colored skin or aren't the same gender or we dont believe in the same beliefs.

Where as the civil rights movement was to clarify that blacks and whites males and females have the same rights.

Look at the denominator. Diego did not multiply 4 times 3. He simply carried 4 into the product.

Answer:

The answer is

[tex]y = - 4.4x + 6.8[/tex]

Answer:

For the first one:

[tex] \frac{8}{6} \\ \frac{12}{9} \\ \frac{16}{12} [/tex]

for the second one:

[tex] \frac{6}{7} \\ \frac{24}{28} \\ \frac{36}{42} [/tex]

For the third one:

[tex] \frac{2}{3} \\ \frac{4}{6} \\ \frac{12}{18} [/tex]

Answer:

43.00 this is correct!!!!!

Step-by-step explanation:

Given

(2+3) (4-1)

= 5 * 3

= 15

Hope it will help :)

Answer:

15

Step-by-step explanation:

(2+3) (4-1)

(5) (3)

15

Answer:

11

Step-by-step explanation:

cuz i know lol

Answer:

543

Step-by-step explanation:

553 - 10

= 543

∈⊕║∦↔㏒π∡∡⇅Δπω

If a  rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters  then the height is 3 meters.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that a rectangular water tank can hold 142.5 cubic meters of water

base is 9.5 meters by 5 meters

We have to find the height of the water tank.

Volume = length × width ×height

142.5 = 9.5×5×height

142.5=47.5 height

Divide both sides by 47.5

142.5/47.5 = height

3 = height

Hence, if a  rectangular water tank can hold 142.5 cubic meters of water its base is 9.5 meters by 5 meters  then the height is 3 meters.

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Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

Answer:

124.375% increase

Step-by-step explanation:

From 1980 to 2010 there was a 124.375% increase

Answer:

im not sure but

Step-by-step explanation:

Answer:

NQ is perpendicular to OM

Step-by-step explanation:

NQ is perpendicular to OM

Answer:

let one number be x and the other be x + 12

sum = 48

x + x + 12 = 48

2x + 12 = 48

2x = 48 - 12

2x = 36

x = 36 by 2

x = 18

therefore x = 18 and x+12= 18+12=30

so the answer is 18 and 30

Have a good day! ^^

Step-by-step explanation:

Answer:

7.5 %

Step-by-step explanation:

31.50/420 = 0.075 = 7.5 %

Answer:

7.5% commission

Step-by-step explanation:

420 x r = 31.50

420r = 31.50

r = 31.50/420

r = 0.075

multiply by 100 to get the percentage, = 7.5%

Answer:

[tex] \large \boxed{v > - 1}[/tex]

Step-by-step explanation:

Given the Inequality:

[tex] \large{ \frac{1}{3} (v -2) < v}[/tex]

Step 1

[tex]\large{ \frac{1}{3} v - \frac{2}{3} < v}[/tex]

Step 2

[tex] \frac{1}{3} v(3) - \frac{2}{3} (3) < 3(v) \\ v - 2 < 3v[/tex]

Step 3

[tex] - 2 < 3v - v \\ - 2 < 2v \\ \frac{ - 2}{2} < v \\ - 1 < v \\ v > - 1[/tex]

Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!

Answer:

(5,2)

Step-by-step explanation:

The x is 5, and y is 2.

Answer:

L: (5,2)

Step-by-step explanation: