Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3
and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9

Answer:

Step-by-step explanation:

Draw two lines vertically down from side "A" to "B"...you now have three objects ... to triangles, and one rectangle.... the area of the rectangle is "AH"...now you have two triangles, that have area 1/2 base*height... the height is "H" and the base .... well it is (B-A)/2... so the area of the two triangles are ..... (2)*(1/2)*((B-A)/2)* H.... The total area is .... AH + (2)*(1/2)*((B-A)/2)* H .... 2* 1/2 = 1 so now we have AH +   ((B-A)/2)* H .... to help see this let us write it as AH + H(B-A)/2 .. expand the right H.... AH + BH/2 - AH/2.......

you end up with : AH - AH/2 + AB/2 ...

AH - AH/2 =  AH/2

BH/2 = BH/2

final answer : AH/2 + BH/2

factor out the 1/2 and H ..... 1/2 H (A+B)

Given:

Cost of 13 movies = $15.99

To find:

Cost of each movie

Steps:

Lets assume the cost of each movie as 'x'.

So,

[tex]\frac{15.99}{13} =\frac{x}{1}[/tex]

[tex]1.23 = x[/tex]

[tex]x = $1.23[/tex]

Therefore, the cost of one movie is 1.23 dollars

HAPPY TO HELP :)

If you need more help, feel free to ask

Replace c with 3:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

The answer is 243

Answer:

15

Step-by-step explanation:

c5

3(5)

3 x 5

15

Answer:

1 : 12

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

24/2 = 12

1 : 12

Answer:

[see below]

Step-by-step explanation:

Vertical angles are simply opposite angles that are made from intersecting lines.

The most appropriate pairs would be vertical pairs:

∠NSI and ∠TSW

∠NST and ∠ISW

The angles are opposite of each other and formed from the two lines.

Hope this helps.

Answer:

9

Step-by-step explanation:

B²=H²-P²

B²=15²-12²

B²=81

√B=9

therefore it's 9

Answer:

Step-by-step explanation:

Skewed left

50-60 and 60-70

8

Answer:

12

Step-by-step explanation:

Jeffrey made scale drawings of the house a lot

He used a scale of 7 inches: 4 feet

The actual width of the backyard is 48

Therefore the width of the backyard in the drawing is

= 48/4

= 12

[tex]6 + (1 + ( - (3 + 5) - 8) + 2 \\ 6 + (1 + 2 - 8) + 2 + 10 \\ 6 + ( - 5) + 2 + 10 \\ 6 - 5 + 2 + 10 \\ \\ = 13[/tex]

Step By Step Explanation:

Step-by-step explanation:

the length of AB = √(9+3)²+(5-9)²

= √144+16=√180 = 6√5

the length from A to E = ⅜× 6√5

= 2.25 √5 or 5.03

Length of AB,

→ √(9+3)² + (5-9)²

→ √144+16

→ √180

→ 6√5

Length from A to E,

→ ⅜ × 6√5

→ 2.25 √5

→ 5.03

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the Range:

[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 [tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]

Inter Quartile Range [tex]= Q_3 - Q_1[/tex]

[tex]IQR = 98 - 89 = 11[/tex]

Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

You can see that the MNO triangle is similar to MKL  then  [tex]\displsystyle\ \frac{NO}{KL} =\frac{x}{ML} => \frac{12}{22} =\frac{x}{27,5} => x=\frac{12\cdot 27,5}{22} =15[/tex]                                                                  [tex]\displaystyle\ Answer: \boxed{x=15}[/tex]

Answer:

a = x² + 11x + 30

Step-by-step explanation:

a = (x + 5)(x + 6)

multiply each term in the first set of parenthesis by each term in the second

a = x(x + 6) + 5(x + 6)

a = (x² + 6x) + (5x + 30)

combine like terms

a = x² + 11x + 30

Answer:

x = 25.7

Step-by-step explanation:

We know the adjacent side to the angle and the hypotenuse on a right triangle

cos theta = adj / hyp

cos 18 = x/27

27 cos 18 =x

25.67852594=x

Rounding to the nearest tenth

x = 25.7

Answer:

prime numbers

Step-by-step explanation:

not composite since,example, 2 is prime

not even since,example, 19 is odd

not odd since,example, 2 is even

Answer:

the answer is

prime numbers.

Answer:

120 ways

Step-by-step explanation:

Here, we are looking at arranging around a table

To do this, we sit down one of the children and arrange the remaining around the one that we have sat down

In scenario like this, the number of possible arrangement ways will be;

(n-1)! ways

where n is the number of children which is 6 in this case

So the possible number of ways will be;

(6-1)! = 5! = 120 ways

Answer:

A=50.24

Step-by-step explanation:

Your diameter is 8, which makes the radius 4.

The area of a circle is

[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]

A=50.24

Answer:

3(b+2)balls

Step-by-step explanation:

Given data

number of bags of golf balls= 3

number of balls in each bag=b

total number of balls in all three bags= 3b

His friend gave him 6 more= 3b+6

Hence the total balls is = 3b+6

= 3(b+2)balls

Answer:

true

Step-by-step explanation:

Answer:

Slope of the line, m = 4/3

Step-by-step explanation:

Given;

4x - 1 = 3y + 5

Make y the subject

4x - 1 = 3y + 5

4x - 3y = 5 + 1

4x - 3y = 6

-3y = 6 - 4x

Divide both sides by -3

y = (6 - 4x) / -3

y = -2 + 4/3x

Slope intercept form is given by

y = mx + b

Where,

m = slope

y = - 2 + 4/3x

m = 4/3

Slope of the line, m = 4/3

Answer:

Above answer is INCORRECT.

The CORRECT answer is 2/3

Step-by-step explanation:

Answer:

3 2/3 will be 3 10/15

1 4/5 will be 1 12/15

Divide 3 into 15 and get 5; 5 x 2 = 10

Divide 5 into 15 and get 3; 3 x 4 = 12

So new equivalent fractions are 3 10/15

                                              and 1 12/15

Step-by-step explanation:

Answer:

< B = 180-30-65=85°

< E = 85°

< D = 30°

< C = 65°

BC = 20/35 × 28 = 16

Answer:

<D = 30

< C = 65

<B = <E = 85

16 = BC

Step-by-step explanation:

ABC ~ Triangle DEF

<A = <D = 30

< C = <F = 65

Since they are similar triangles

A+ C + B = 180 since the angles of a triangle = 180

30+65+B =180

95+ B = 180

<B = 180 -95 = 85

<B = <E = 85

The triangles are similar so the sides are proportional

AB      BC

----  = ---------

DE      EF

20      BC

----  = ---------

35      28

Using cross products

20*28 = 35 BC

Divide each side by 35

20*28/35 = 35/35 BC

16 = BC

Write the scale of the drawing as a fraction. Put the shorter length in the numerator.

[tex] \frac{7 \: cm}{1 \: cm} \\ [/tex]

First convert the denominator to the same units as the numerator. Write an equivalent fraction with centimeters in the denominator. Since 1 meter is equal to 100 centimeters, multiply the denominator by 100 to get centimeters in the denominator.

[tex] \frac{7 \: cm}{100 \: cm} = \: \frac{7}{100} \\ [/tex]

Write the scale factor as a ratio, using a colon

7/100   →  7:100

The scale factor is 7:100.

[tex] \\ [/tex]

#CarryOnLearning!

Answer:

please write in the comments ,the total minutes she spent in the gym , then only we can solve the answer , without total minutes we cannot solve this question

Answer:

13 minutes lifting weights.

Step-by-step explanation:

Diana spent a total of 25 minutes and spent 12 more minutes running than she did lifting weights. So if you subtract 25 from 12 you get 13.

9514 1404 393

Answer:

  A = 27

  B = 81

Step-by-step explanation:

Fill in the x-value and do the arithmetic.

  a = 3^3 = 27

  b = 3^4 = 81

Answer:

[tex]6(x+9)^{2}[/tex]

Step-by-step explanation:

6 x^2+108 x  +486

6(x^2+18 x  +81)

6(x+9)(x+9)

[tex]6(x+9)^{2}[/tex]

Answer:

[tex]6(9+x {)}^{2} [/tex]

Step-by-step explanation:

[tex]486+108x+6x ^{2} [/tex]

[tex]6 \times 81+108x+6 {x}^{2} [/tex]

[tex]6(81+18x+ {x}^{2} )[/tex]

[tex]6(9+x {)}^{2} [/tex]

9514 1404 393

Answer:

  n cm = 3 cm

Step-by-step explanation:

The total surface area is the sum of the base areas and the lateral area. The base areas are the sum of the areas of the rectangle and triangle that define the shape of the base.

The rectangle has dimensions 5 cm by n cm. The triangle is 5-2 = 3 cm high and 4 cm at the base. Then the front face area is ...

  A = lw + 1/2bh

  A = (5 cm)(n cm) +1/2(4 cm)(3 cm) = (6 +5n) cm²

The lateral area is the product of the perimeter of the base and the depth of the prism.

  A = Ph

  A = (5 cm + n cm + 2 cm + 5 cm + 4 cm + n cm)(4 cm) = (64 +8n) cm²

The total surface area is the sum of the areas of the two bases and the lateral area:

  130 cm² = 2(6 +5n) cm² +(64 +8n) cm²

  130 = 76 +18n . . . . . . divide by cm², collect terms

  54 = 18n . . . . . . . . . subtract 76

  3 = n . . . . . . . . . . divide by 3

The value of n in centimeters is 3 cm.

Answer:

-10

Step-by-step explanation:

Answer:

end behavior

Step-by-step explanation: