What additional information must be known to prove the triangles similar to SAS?

Answer:

Your answer is.....

In every big pieces there will be 3 * 1/3 pieces.

So total 12 of 1/3 pieces

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Step-by-step explanation:

Explanation:

You want to first to substitute to form 3 equations.

5=4a+2b+c

12=9a+3b+c

-4=a-b+c

Now solve with whatever way you fell comfortable, I'm going to use elimination.

First eliminate c

7=5a+b

16=8a+4b --> 4=2a+b

Then I'll eliminate b,

3=3a

a=1

Now solve for b and c

7=5+b

b=2

1-2+c=-4

c=-3

Now for the equation:

y=x^2+2b-3

Hope this helps!

Answer: Andy is 35 and Mike is 21.

Step-by-step explanation:

Andy’s present age: Mike’s present age

= 5:3

Andy’s age in “if”: Mike’s age in “if”

=6:2

1 unit = 7

5 unit = 35 (Andy’s age)

3 unit = 21 (Mike’s age)

Answer 1 maybe

Step-by-step explanati

a^2 + b^2 = c^2

A-15.1

B-13

Answer:

Diagonal = 10.44 m

Step-by-step explanation:

(3×3)+(10×10) = 109

Sq rt 109 = 10.44 m

Answer:

67

6+7=13

76-67=9

Done!

Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm

Answer:

Step-by-step explanation:

y = (1.066)x

The equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

The sales tax is the amount charged on the price of goods and services.

Let x be the original cost for the meal

Let y be the cost after the sales

If the sales tax rate in Tyler's county is 6.6%, the tax charged is expressed as:

0.066 of theoriginal cost
0.066x

Cost after tax = original cost + tax
Cost after tax = x + 0.066x
y = 1.066x

Hence the equation to represent the relationship between the original cost of the meal and the cost after the sales tax is y = 1.066x

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Answer:

Statements 1, 2, or 4 each imply a rectangle. Check all three.

Step-by-step explanation:

Answer:-

7.5 cups of flour is required for 30 people

Step-by-step explanation:-

2 cups = 8 people

x cups = 30 people

[ Cross multiply ]

=> 2×30 = x × 8

=> (2 × 30)/8 = x

=> 60/8 = x

=> 7.5 cups = x

Thus, for 30 people 7.5 cups of flour is required.

Hope this helps you.

Answer: x = 118

Step-by-step explanation:

Answer:

[tex]y = -4[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0, -4)[/tex]

[tex](x_2,y_2) = (5, -4)[/tex]

Required

Determine the equation

First, calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]

[tex]m = \frac{-4 +4}{5}[/tex]

[tex]m = \frac{0}{5}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_2[/tex]

This gives:

[tex]y = 0(x - 0)-4[/tex]

[tex]y = 0-4[/tex]

[tex]y = -4[/tex]

Answer:

y = 3/4x + 10

Step-by-step explanation:

The equation of a line is y = slope * x + y-intercept

To find the slope, you choose two points and do (y1-y2)/(x1-x2): Point 1 can be (4,13) and point 2 can be (8,16) so, slope = (13-16)/(4-8) = -3/-4 = 3/4

The y-intercept is the value of y when x is 0, so it would be 10.

Put it together and you get y = 3/4x + 10

Answer:

31333.75cm³

Step-by-step explanation:

Volume = πr²h

= 3.14 × (46.45/2)² × 18.5 = 31333.75cm³

Answer:

Step-by-step explanation:

the factors of 9 are 1,3,9

Answer:

1, 3, 9

[tex] \\ \\ \\ \\ [/tex]

Answer:

[tex]1\frac{1}{2}[/tex]

Answer:

when u divide u get 1.5

Step-by-step explanation:

1.5 is the same thing as "one and five-tenths," or "one and five over ten, or one and half," which is written as 112 as a fraction.

Answer:

144 cups-14 pints

Step-by-step explanation:

Answer:

0.583

Step-by-step explanation:

You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).

There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.

7/12 simplifies to 0.583.

You have a 0.583% chance of picking either a nickel or a dime.

Answer:

The equation that represents the sentence is W + 6 + 5 = 2.

Step-by-step explanation:

Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:

W + 6 + 5 = 2

W = 2 - 5 - 6

W = -9

Therefore, the unknown number is -9.

Answer:

slope= (-1)

...................

Answer:

Step-by-step explanation:

Given the sequence -1,-7,-49,-343,....

We are to find the nth term of the sequence

dn = ar^n-1

a is the first term = -1

r is the common ration = -7/-1 = -49/-7 = 7

n is the number of terms

Substitute

dn = -1(7)^n-1

dn = -7^n-1

hence the nth term of the sequence is dn = -7^n-1

[tex] \frac{24}{48} [/tex]

The lowest term of the given fraction by simplifying.

[tex] \frac{24}{48} [/tex]

[tex] = \frac{24 \div 24}{48 \div 24} [/tex]

[tex] = \frac{1}{2} [/tex]

Answer:

The midpoint of FH is (3;1)

Step-by-step explanation:

Answer:

Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs

Answer:

10x=44+2y

x=44+2y/10.....eq(i)

-9y=10+ 2x

-Y=10+2X/9....eq(ii)

Then solve by eq(i) and eq(ii)

Answer:

Step-by-step explanation:

I assume that "side length" means the slant height of one of the triangular faces.

area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in

lateral area = all four triangles = 161 in²

base area = 7² = 49 in²

total surface area = lateral area + base area = 161+49 = 210 in²

The area of the pyramid is  1.4625 ft²

If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8

Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.

The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:

SA = BA + (4 × FA)

     =[tex]a^2+a\sqrt{a^2+4h^2}[/tex]

Where a= base length and height = h

Thus inputting the values we get

SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]

   =49+7√533

    =210.60 in²

Thus in ft.² we have 1.4625 ft²

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Answer:

[tex] y = 4 [/tex]

Step-by-step explanation:

Given:

[tex] y = \frac{7x + 1}{3x - 6} [/tex],

To find the value of y, let's find x by solving 3x = 15.

3x = 15

Divide both sides by 3

x = 15/3

x = 5

Plug in the value of x into [tex] y = \frac{7x + 1}{3x - 6} [/tex]

[tex] y = \frac{7(5) + 1}{3(5) - 6} [/tex]

[tex] y = \frac{35 + 1}{15 - 6} [/tex]

[tex] y = \frac{36}{9} [/tex]

[tex] y = 4 [/tex]

Yes,  negative 6 a rational number because it can be represented as a fraction of two integers.

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero.

It is any number that can be written in the form "a/b," where "a" and "b" are integers and "b" is not equal to zero.

The number -6 can be expressed as -6/1.

Here, -6 is the numerator and 1 is the denominator.

Both the numerator and denominator are integers, and the denominator is not zero.

Therefore, -6 can be represented as a fraction of two integers and meets the definition of a rational number.

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