please help asap!!!


1. ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < d = 2x + 20. Angles B&C are congruent. What is the measure of angles B&C?


2. QRST is a rectangle. RS = 12k +5 and QT = 145. what is the value of 'k'?

Answer:

48 feet

Step-by-step explanation:

So first find the amount of fence they would need in terms of x, which would be (x - 2) + (3x - 1) + (5x + 8) + (3x - 1) + (x - 2). Then, you know these add up to 106 so you get the equation:

[tex]x-2+3x-1+5x+8+3x-1+x-2 = 106[/tex]

Now, you just have to solve.

First, combine like terms

[tex]13x + 2 = 106[/tex]

Then, subtract 2 from both sides

[tex]13x = 104[/tex]

Next, divide both sides by 13.

[tex]x = 8[/tex]

The last step is to find the length of 5x + 8 by substituting x = 8 in

[tex]5*8+8=40+8=48[/tex]

Answer:

14 lessons can be completed

Step-by-step explanation:

From the question, to get the number of lessons that can be completed, we simply multiply the number of months by 2

Thus, we have that;

G(2) = 2 * 7

G(2) = 14 lessons

Answer:

y = 15 + 0.08x

y = $35

Step-by-step explanation:

Given :

Plan A:

Flat rate = $15

Cost per minute = 0.08

Let x = number of minutes

Total. Cost = flat fee + (per minute charge * number of minutes)

y = 15 + 0.08x

Plan B:

$35 unlimited calling

Total cost, yregardless of minutes used :

y = $35

Answer:

I dont even know man I wish I knew too

Answer:

-11

Step-by-step explanation:

Answer:

-1/4

Step-by-step explanation:

slope is always rise/run so

(-8)-(-5)=-3

-3/12=-1/4

the slope is -1/4

Enjoy^^

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Answer:(-3,-5)

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

Answer:

D

Step-by-step explanation:

The answer is

y = .613x + 4.142

this function has answer of d

Answer:

the first option..

Step-by-step explanation:

substitute the x values in the table for "x" in the equation and solve

Answer:

−10ba+15ba^2

Step-by-step explanation:

The product of the given monomial and binomial is -10ab+15a²b.

The given expression is −5b(2a−3a²).

We need to simplify the polynomial using multiplication.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Binomials are also a kind of polynomials consisting of only two terms. A binomial is defined as an algebraic expression consisting of two terms that are separated by the arithmetic signs, either the addition sign (+) or the subtraction sign (-). When multiplying a monomial by a binomial, we follow the distributive law of multiplication.

Now, 2a×(−5b)−3a²×(−5b)

=-10ab+15a²b

Therefore, the product of the given monomial and binomial is -10ab+15a²b.

To learn more about the multiplication of polynomials visit:

https://brainly.com/question/17419800.

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Answer:

c i think

Step-by-step explanation:

The equation can be used to find how many gallons of lemonade Peter's recipe makes is 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt = 3 gal.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

1 Cups = 0.0625 Galloon.

Peter make 48 cups of drink.

So, 48 C/ 1 x 1 pt / 2C x 1 qt / 2 pt x 1 gal / 4 qt

= 24 pt x 1 qt / 2 pt x 1 gal / 4 qt

= 3 gal

Hence, 48 cups of the drink.

Learn more about Unit Conversion here:

https://brainly.com/question/19420601

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Answer:

The value of the expression 8 - I2g - 5I is -4 ⇒ D

Step-by-step explanation:

The absolute value always gives a positive value IaI = a and I-aI = a

Let us solve the question

∵ The expression is 8 - I2g - 5I

∵ The value of g is g = -3.5

→ To find the value of the expression substitute g by -3.5

∵ 8 - I2g - 5I = 8 - I2(-3.5) - 5I

∴ 8 - I2g - 5I = 8 - I-7 - 5I

∴ 8 - I2g - 5I = 8 - I-12I

→ By using the rule above

∵ I-12I = 12

∴ 8 - I2g - 5I = 8 - 12

∴ 8 - I2g - 5I = -4

∴ The value of the expression 8 - I2g - 5I is -4

Answer:

30241530

Step-by-step explanation:

Answer:

c. 13

Step-by-step explanation:

[tex]c=\sqrt{a^{2}+b^{2}} = \sqrt{12^{2}+4^{2}}[/tex] ≈ [tex]12.64911[/tex] ≈ [tex]13[/tex]

Answer:

x is equal to four, and y is equal to negative eight.

Step-by-step explanation:

Let's solve it rearranging the first equation to define y:

9x + y = 28

y = 28 - 9x

Now we plug it in to the second equation:

3x + 3y = -12

3x + 3(28 - 9x) = -12

And solve for x:

3x + 84 - 27x = -12

-24x = -96

x = 4

Now we can plug that x value into one of the original equations to find the value of y

9x + y = 28

36 + y = 28

y = 28 - 36

y = -8

Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:

3x + 3y = -12

3x + 3(-8) = -12

3x - 24 = -12

x - 8 = -4

x = 4

So we know our answer is correct.

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

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She needs to convert all the numbers be be the same type ( fraction or decimal).

With the numbers she has it would be easiest to convert all the numbers to decimals.

72/80 = 0.9

3 1/5 = 3.3

Pi = 3.14

Now she can arrange the decimals in order:

-2.9, 0.9, 2.979, 3.14, 3.2

She needs to switch 3 1/5 and pi

Answer:

3 1/5 is tha one

Step-by-step explanation:

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

Answer:

Clustering

Step-by-step explanation:

Data groups that are grouped closely together

Answer:

18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

3x + 2y + 4

x = 2

y = 4

Step 2: Evaluate

Answer:

18

Step-by-step explanation:

3x + 2y + 4 can be broken down like this:

3x = 3 • 2 = 6

2y = 2 • 4 = 8

So, 6 + 8 + 4 = 18.

Hope this helps.

Answer:

d is the answer

Step-by-step explanation:

Answer:

14. x = 6, y = 8

15. x = 5, y = 7

16. x = 7, y = 10

Step-by-step explanation:

For a parallelogram, the length across the point of intersection of its diagonals are equal.

So that;

14. PT = TR

    QT = TS

So that,

2x = y + 4

2x - y = 4 ...........1

x + 2 = y

x - y = -2 ............. 2

subtract equation 2 from 1,

x = 6

substitute the value of x in equation 1,

2 x 6 - y = 4

y = 12 - 4

  = 8

x = 6, y = 8

15. PT = TR

    QT = TS

x + 2 = y

x - y = -2 .......... 1

2x = y + 3

2x - y = 3 ......... 2

Subtract equation 1 from 2

x = 5

substitute the value of x in equation 1

5 - y = -2

5 + 2 = y

y = 7

x = 5, y = 7

16. PT = TR

    QT = TS

y = x + 3

x - y = -3 ......... 1

2y = 3x -1

3x - 2y = 1 ......... 2

Multiply equation 1 by 2 to have;

2x - 2y = -6 ....... 3

subtract equation 3 from 2

x = 7

substitute the value of x in equation 1

7 - y = -3

-y = -7 -3

-y = -10

multiply through by minus

y = 10

x = 7, y = 10