PLS HELP ME WITH THIS

We have to relate the angles of the trapezoid in order to find the measure of BAD.

Given:

Then

The angles are congruent because if AD and BC are congruent, and the lines are parallel, they sides will form the same angles.

Also, as the segment AD is "cut" by two parallel lines, the angles BAD and ADC are consecutive interior angles and are, therefore, supplementary.

Then, we can write:

Now, with the value of x, we can calculate the measure of BAD as:

Answer: the measure of BAD is 74°.

g(x)= x^4 √(1+x)

g(-x) = (-x)^4 √1-x

g (-x) = x^4 √1-x

Since the obtained function is not the same or the opposite it is neither.

Answer:

The answer is $1,169.35

Step-by-step explanation:

Deposits is when you put money into your account, so, you'll add what he deposits. which will be $2,242.4, Next when he writes a check it means he took money out of his account so you'll subtract. You'll add up the amount of checks he wrote and subtract your answer with the deposits so, $2,243.4, - $1,074.05 = 1,169.35 and thats how you get your answer.

Answer:tiny bit confused what the question is asking

length=350

Step-by-step explanation:

perimeter =(length+width )x2

perimeter/2

1000/2=(length+width )

500=(length+width)

500-150=350length

A1 = 7

An = 3A(n-1) + 4. According to this, A2 would be= 3*7 + 4 =25

A1 = 7, A2 = 25, then the difference is d = 18

The general formula for an aritmethic progression is An = A1 + (n -1)d

For A4 = 7 + (4-1)*18 = 61

Answer:

102.06

Step-by-step explanation:

Absolute values are always positive

Answer:

Step-by-step explanation:

102.06

Absolute value is just the positive of any value.

Hope this helps! Have a nice day!

Answer:

12.75

Step-by-step explanation:

it is the same as the other side just like the similar triangle is.

Combination is a way of selecting items from a collection where the order of selection does not matter.

The number of 4-letter code words that can be made using the letters in the word pencil is 15.

Combination is a way of selecting items from a collection where the order of selection does not matter.

We have,

Total number of letters in the word pencil = 6

i,e P E N C I L

Combination formula:

[tex]^nC_r[/tex] = [tex]\frac{n!}{r!(n-r)!}[/tex]

Here,

n = 6

r = 4

The number of 4-letter code words that can be made using the letters in the word pencil:

[tex]^6C_4[/tex] = 6! / 4! 2! = (6 x 5) / 2= 15

Thus,

The number of 4-letter code words that can be made using the letters in the word pencil is 15.

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The equation of f(x) is

The graph of g(x) is shifted 3 units to the left. This is a horizontal translation.

For horizontal translation, we follow the following rule >>>

Let parent function be f(x), then

• f(x+a) is the parent translated "a" units left

• f(x-a) is the parent translated "a" units right

Thus, following the rule, we can clearly say that g(x) = f(x+3)

We can write >>

ofGiven the yearly interest rate as 8.5%

To find the daily interest, we will divide the yearly interest rate by 365 as shown below:

Hence, the daily interest rate (to the nearest millionths place)= 0.000232, The third option

Answer:

m=35

Explanation:

Given the equation:

We solve for the value of m by adding 15 to both sides.

The value of m is 35.

y equals negative two thirds times x minus 2 is the equation of graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are 3 comma 0 and 0 comma negative 2.

i.e (3,0)(0,-2)1)

The formula for slope is (y₂-y₁)/(x₂-x₁)

slope = (-2 - 0) / (0 - 3)

= -2 / -3

The negative negative are multiplied we get positive

= 2/3

The standard form of a line is y = mx + b, where m is slope of line and b is y intercept.

slope(m) = 2/3

We can use either of points (0,-2)...x = 0 and y = -2

now sub and find b, then y intercept

-2 = 2/3(0) + b

-2 = b

so  equation is : y = 2/3x - 2

Hence y equals negative two thirds times x minus 2 is the equation of graph.

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Answer:

B⁸

Step-by-step explanation:

When you have the same base, which in this case is B, you add the exponents and you get 8.

Hope this helps!

P.S, could I get Brainliest? Thanks!

The equivalent composite function is expressed as  -9x + 5

Composite functions are also known as function of a function.

Given the following functions:

a(x) = 3x+2 and

b(x) = -3x + 1

Determine the value of a(b(x))

a(b(x)) = a(-3x+1)

a(b(x)) = 3(-3x+1) + 2

a(b(x)) = -9x + 3 + 2

a(b(x)) = -9x + 5

This gives the equivalent composite function.

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Using the law of cosines to find m∠B:

Since B is the largest angle (because it's opposite to the longer side), then angles A and C are smaller. In consequence, the three angles are smaller than 90°, which means that the triangle is acute

we have the equation

Solve for t

That means

Isolate the variable t

The inequality that can be used to determine the minimum number of set of forks Nakeisha should buy is xx ≥ (566 - 188) / 8.

The first step is to determine the appropriate inequality signs that can be used.

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign that would be used is ≥.

The form of the inequality is: xx ≥ (least number of forks needed - forks they current have) / number of forks in one set

xx ≥ (566 - 188) / 8

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Answer:

566 < 188 + 8x

Step-by-step explanation:

y-interceptis As given by the question

There are given that the value of x and y.

Now,

For finding the value of the slope, choose two-point from the given table

So,

Suppose the two points are:

Now,

From the formula of slope:

Where,

Put all the above value into the given formula

So,

Hence, the value of the slope is -1.

Now,

For the equation of the line that is based on the given chart, use two supposes point and the given slope.

So,

The two poin and slope is:

Then,

From the formula of two point form;

Where,

Then,

Put all the given value into the above formula

So,

Hence, the equation of the line is:

Now,

To find the y-intercept, put x=0 and solve for x

So,

The y intercept of the given equation is:

Hence, the y-intercept is (0, 6)

Answer:

6 i think

Step-by-step explanation:

if you count the top and bottom one, thats 2, the two sides, and the front and back. add 2+2+2 which is 6.

The value of x from the equation represented by the given bar diagram is 20.

The equation is represented using the bar diagram and from the bar diagram be can observe that the equation will be the following equation mentioned below:

3.5 x + 12.5 x = 320                                        equation 1

The bar diagram represents 3.5 x + 12.5 x = 320  equation. Now we will simplify this equation and will find the value of x from this equation. The steps that need to be followed to simplify this equation are shown below;

3.5 x + 12.5 x = 320

16 x = 320

Divide both sides of equation by 16 , we will get

x = 320/16

x = 20

The value of x from the equation 3.5 x + 12.5 x = 320 is 20.

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The mass of the backpack is 1.02 kilograms.

On earth, the weight of an object of mass M is given by:

W = M*g

Where g is the gravitational acceleration:

g = 9.8m/s^2

In this case, the weight is 10N, then we can write:

10N = M*9.8m/s^2

Solving this for M we get:

10N/(9.8m/s^2) = M = 1.02 kg

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Answer:

The answer is I think 16

Step-by-step explanation:

You can look at the figure beside andfind this answer

Options E and F are the correct options

Here, we need to get the equation of the line that passes through the two points given

Mathematically, the equation of a line can be generally expressed as ;

y = mx + c

where m is the slope of the line and c is the y-intercept of the lien ( where it crosses the y-axis)

To get the slope m , we are goint to use the formula below;

Substituting these values into the slope equation , we have

m = (-1-(6))/(-1-(-5)) = -7/4

The equation is now in the form;

y = -7x/4 + c

what is left is to get the y-intercept

We can get the value of the y-intercept by substituting for x and y using any of the points

Let us use the second point

Here, x = -1 and y = -1

Thus;

-1 = -7(-1)/4 + c

-1 = 7/4 + c

c = -1-7/4 = -11/4

So the complete equation of the line is;

y = -7x/4 - 11/4

To properly answer the questions, we need the forms in the options that looks like or can be manipulated arithmetically to look like what we have as our answer

We proceed with each of the options one after the other to see if they can be written in the form of our answer

Option A

y - 5 = -7/4 ( x + 6)

Opening the bracket and evaluating;

y - 5 = -7x/4 - 42/4

y = -7x/4 -42/4 + 5

y = -7x/4 -22/4

we can see this is not a correct option

Option B

y - 6 = -4/7 (x + 5)

Multiply through by 7

7y - 42 = -4x - 20

7y = -4x - 20 + 42

7y = -4x + 22

divide through by 7

y = -4x/7 + 22/7

We can see this is incorrect also

Option C

y - 1 = -4/7(x-1)

Multiply through by 7

7y - 7 = -4x + 4

7y = -4x + 4 + 7

7y = -4x + 11

divide through by 7

y = -4x/7 + 11/7

This is incorrect too

Option D

y + 1 = -4/7 ( x + 1)

Multiply through by 7

7y + 7 = -4x - 4

7y = -4x -4 -7

7y = -4x - 11

y = -4x/7 - 11/7

This is incorrect also

Option E

y - 6 = -7/4 (x + 5)

Multiply through by 4

4y - 24 = -7x - 35

4y = -7x - 35 + 24

4y = -7x -11

y = -7x/4 - 11/4

This is a correct option

Option F

y + 1 = -7/4 ( x + 1)

Multiply through by 4

4y + 4 = -7x - 7

4y = -7x - 7-4

4y = -7x - 11

y = -7x/4 - 11/4

This is a correct option too

The angles in the parallelogram is as follows:

A parallelogram is a quadrilateral with opposite sides equal to each other and opposite side parallel to each other.

The diagonal of a parallelogram bisect each other.

Therefore, the angles a, b and c in the parallelogram can be found as follows:

180 - 118  - 35 = a (sum of angles in a triangle)

180 - 153 = a

a = 27 degrees.

Therefore, let's find angle b.

62 + 63 + b = 180 (sum of angles in a triangle)

125 + b = 180

180 - 125 = b

b = 55 degrees

Let's find the angle c

Hence,

b = c (alternate angles)

Therefore,

c = 55 degrees.

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The Simplification of the expression negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths is "negative 43 over 24 times j plus negative 1 over 12". option D

The expression which is equivalent to 3(−4.5b − 2.1) − (6b + 0.6) is −19.5b − 6.9. option c

negative one eighth j plus two thirds minus the expression five thirds j plus nine twelfths

= -1/8j + 2/3 - (5/3j + 9/12)

= -1/8j + 2/3 - 5/3j - 9/12

= -1/8j - 5/3j + (2/3 - 9/12)

= (-3j-40j / 24 + (8-9) / 12

= -43/24j + (-1)/12

The expression equivalent to 3(−4.5b − 2.1) − (6b + 0.6)

= -13.5b - 6.3 - 6b - 0.6

= -13.5b - 6b - 6.3 - 0.6

= - 19.5b - 6.9

So therefore, the equivalent expression to 3(−4.5b − 2.1) − (6b + 0.6) is - 19.5b - 6.9

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(a) Leila's car, 2 gallons

(b) 300, Raina's car

(a) Leila's car, 2 gallons At 150 miles, Raina's car has 9 gallons of gas and Leila's car had 11 gallons of gas.

(b) 300, Raina's car The amount of gas remaining is when the graphs intersect.

(a) At 150 miles, Raina's car has 9 gallons of gas and Leila's car had 11 gallons of gas. This can be seen by looking at the graph of the two cars' gas levels. The graph for Leila's car is higher than the graph for Raina's car at this point, so Leila's car has more gas.

(b) The amount of gas remaining is when the graphs intersect. This happens at 300 miles. Since the graph for Leila's car is higher than the graph for Raina's car before 300 miles, Raina's car will have less gas at this point.

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When a particle is at rest, the velocity = 0. Therefore, we equate the v(t) term to zero (0)

let the consecutive odd integers be

x, x+ 1, x+ 2, x + 3, x + 4

Average = sum / total number

Average = -45

Total number = 5

-45 = x + x + 1 + x + 2 + x + 3 + x + 4 / 5

Introduce cross multiplication

-45 x 5 = x + x + 1 + x + 2 + x + 3 + x + 4

-225 = x + x + x + x + x + 1 + 3 + 4 + 5

-225 = 5x + 16

Answer: True

Step-by-step explanation:

I believe it's true since a quadratic equation can either have one real solution, two real solutions, or no real solutions. Hope this helps.