Define alternate interior angles

Answer:

[tex]x=\frac{c-b}{a}[/tex]

Step-by-step explanation:

[tex]ax+b=c\\\\ax+b-b=c-b\\\\ax=c-b\\\\\frac{1}{a}(ax)=\frac{1}{a}(c-b) \\\\x=\frac{c-b}{a}[/tex]

Answer:

Step-by-step explanation:

Perimeter of the rectangular flour = 2(Length+Width)

P = 2(L+W)... 1

If if the length is 2 less than three times the width, then L = 3W - 2.... 2

Substitute equation 2 into 1;

P =2(3W-2+W)

68 = 2(4W-2)

68 = 8W-4

8W = 68+4

8W = 72

W = 72/8

W = 9 feet

Since L = 3W-2

L = 3(9)-2

L = 27-2

L = 25

The length is 25ft and the width is 9ft

Answer:

the first one.

Answer: 75/7

Step-by-step explanation:

Concept:

Multiplication in fraction is the numerator times numerator and denominator times denominator, and if possible, you can simplify the numerator and denominator by eliminating common factor.

Solve:

1 7/8= 15/8

 1 7/8 × 10/7 × 4

=15/8 × 10/7 × 4

=150/56 × 4

=600/56

Answer:

$6/ book

Step-by-step explanation:

Unit price = Total cost/ total number of items

                = 90/15

                =$6 per book

Answer:

[tex]\left(m+7\right)\left(n-1\right)[/tex]

Step-by-step explanation:

[tex]mn+7n-m-7[/tex]

[tex]\left(mn+7n\right)+\left(-m-7\right)[/tex]

[tex]n\left(m+7\right)-1\left(m+7\right)[/tex]

[tex]\left(m+7\right)\left(n-1\right)[/tex]

The factors of given polynomial is (m+7)(n-1).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given polynomial is mn+7n-m-7.

By grouping method we can factorize the given polynomial

Here, (mn+7n)-m-7

= n(m+7)-1(m+7)

= (m+7)(n-1)

Therefore, the factors of given polynomial is (m+7)(n-1).

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Answer:

No solution

Step-by-step explanation:

Step 1: Write equation

-6(3 + x) + 2(3x + 5) = 0

Step 2: Solve for x

Distribute: -18 - 6x + 6x + 10 = 0

Combine like terms: -8 ≠ 0

∴ No solution

No answer

Step-by-step explanation:

-6(3+x) Multiply -6 by 3=-18. -18+-6x     2(3x+5) 6x+10

(-18+-6x) + (10+6x) = (-8 = 0).

Answer:

scale factor = ratio of corresponding side= 0p/xy = 4/10= 2/5

∠x = 58

∠y= 180-49-58= 73

Step-by-step explanation:

Answer:

~966 apartments

Step-by-step explanation:

[tex]\frac{1044}{1.081}[/tex]

Answer:

[tex]Rate = \$1.76/kg[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{16}kg[/tex] of nails costs [tex]\$ \frac{11}{100}[/tex]

Required

Determine the rate

The rate, in this case, will be calculated as:

[tex]Rate = \frac{amount}{weight}[/tex]

[tex]Rate = \frac{\frac{11}{100}}{\frac{1}{16}}[/tex]

This gives

[tex]Rate = \frac{11}{100}/\frac{1}{16}[/tex]

[tex]Rate = \frac{11}{100} * 16[/tex]

[tex]Rate = \frac{176}{100}[/tex]

[tex]Rate = \$1.76/kg[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

of nails costs

Required

Determine the rate

The rate, in this case, will be calculated as:

This gives

Step-by-step explanation:

Answer:

Using the Word to---- 4 to 3

As a a fraction--- 4/3

As a ratio---- 4:3

Step-by-step explanation:

i think

Answer:

12

Step-by-step explanation:

40/100*30

=12

Answer:

12..

Step-by-step explanation:

off topic but broski i think we're in the same school program?

Answer:

11/1000

Step-by-step explanation:

and did not copy i swear

Answer:

11/1000 or 10/500

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

2² + 6(3) - 7

Step 2: Evaluate exponents

4 + 6(3) - 7

Step 3: Evaluate parenthesis (multiply)

4 + 18 - 7

Step 4: Add

22 - 7

Step 5: Subtract

15

Answer:

$7,000

Step-by-step explanation:

Let [tex]x[/tex] equal the original price.

[tex]12,000+2000=2x[/tex]

Combine like terms.

[tex]14,000=2x[/tex]

Divide by the coefficient of [tex]x[/tex], which in this case is [tex]2.[/tex]

[tex]7,000=x[/tex]

If you like the variable on the left, rewrite:

[tex]x=7,000[/tex]

Answer:

Given circumference (C) = 16

Radius =  

C  =  

2π

2.5464790894703

Diameter =  

C  =  

π

5.0929581789407

Area =  

C2  =  

4π

20.371832715763

Step-by-step explanation:

We've all seen circles before. They have this perfectly round shape.

Every circle has a center, which is a point that lies exactly at the... well... center of the circle. A circle is a shape where the distance from the center to the edge of the circle is always the same. In order to calculate the radius, you need the circumferance or the diameter.

Answer:

Pi is a number that is approximated by 3.14, or 22/7. It is the ratio of the circumference to the diameter of any circle. This ratio can be rearranged to find circumference of a circle by multiplying pi times diameter

Step-by-step explanation:

Answer:

y = (13/6)(b - 12)

Step-by-step explanation:

b = 6/13 y + 12

Subtract 12 from both sides.

b - 12 = 6/13 y

Multiply both sides by 13/6.

(13/6)(b - 12) = y

y = (13/6)(b - 12)

Answer:

[tex]x_{18}=387420489[/tex]

Step-by-step explanation:

So we have the sequence:

3, 9, 27...

First, note that this is a geometric sequence because each subsequent term not increasing linearly.

To find the 18th term, we can write an explicit formula.

The standard explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial term, r is the common ratio, and n is the nth term.

From the sequence, we can see that the initial term a is 3. The common ratio is 3 since each subsequent term is 3 times the previous term. So, substitute:

[tex]x_n=3(3)^{n-1}[/tex]

To find the 18th term, substitute 18 for n. So:

[tex]x_{18}=3(3)^{18-1}[/tex]

Subtract:

[tex]x_{18}=3(3)^{17}[/tex]

Evaluate:

[tex]x_{18}=3(129140163)[/tex]

Multiply:

[tex]x_{18}=387420489[/tex]

And we're done!

Answer:

Answer option "A" : line.

Step-by-step explanation:

The trace formed by the collection of all points equidistant from (-5, -6) and (-5, 7) describe a horizontal line with equation y = 1/2.

Therefore the answer option "A" is the correct one.

Answer:

2

Step-by-step explanation:

The required measure of the numerical length of RS is 4.

Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.

A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.

Here,

Point S is on line segment RT
The total length of RT,

RT = RS + ST
4x = 4x - 4 + 2x
4x  = 6x - 4
2x = 4
x = 2

RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4

Thus, the required measure of the numerical length of RS is 4.

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Answer:

9

Step-by-step explanation:

3 hours

I hope this helps you

Answer:

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard = [tex]\frac{39}{80}[/tex]

Therefore, Option (C) will be the answer.  

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

Because no matter what value x is, y is always 4

Answer:

(3,6)

Step-by-step explanation:

well it's parentheses because it is not equal to.

and it shouldn't have infinity signs because they both have stopping points

Answer: A

(3, 6)

Step-by-step explanation:

Answer:

a right triangle has at lease on 90 degree angle

Step-by-step explanation:

Answer:

By the Side-Angle-Side Similarity Theorem (SASS), if two sides of a triangle are in proportion with the corresponding sides of another triangle, and the included angles are congruent, then the triangles are similar.

Step-by-step explanation:

i got 100% on edg. hope this helps!

Answer:

-6/11 =x

Step-by-step explanation:

We can use cross products to solve

(5x+2)/8=x/6

6 ( 5x+2) = 8x

Distribute

30x + 12 = 8x

Subtract 30x from each side

30x -30x +12 = 8x - 30x

12 = -22x

Divide each side by -22

12/-22 = -22x/-22

-6/11 =x