If the quadrilateral below is a trapezoid, find the missing measures.

Answer:67.5

Step-by-step explanation:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Answer:

5*10=50

5*7=35    35/2=17.5

17.5+50=67.55*10=50

5*7=35    35/2=17.5

17.5+50=67.5

Step-by-step explanation:

Answer:

$450.

Step-by-step explanation:

62% = 0.62.

Let yesterday's price be $x, then.

0.62x = 279

x = 279 / 0.62

= $450.

The length of the rectangle is about 12.37 feet.

We are given that;

Width= 4 feet

Diagonal length= 13feet

Now,

The width and length of the rectangle are the legs and the diagonal is the hypotenuse. We can label them as:

w = 4 (width) l = ? (length) d = 13 (diagonal)

Plugging these values into the Pythagorean theorem, we get:

w^2 + l^2 = d^2 4^2 + l^2

= 13^2 16 + l^2 = 169

l^2 = 169 - 16

l^2 = 153

l = √(153)

l ≈ 12.37

Therefore, by Pythagoras theorem the answer will be 12.37 feet.

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Answer:

87

Step-by-step explanation:

Hope this helps! Pls give brainliest!

We are given a linear function:

f(x) = 2 x + 3

We are also given the domain of the function as:

Domain = (-4, 5)

We need to find the range of the function and draw its graph.

For x = -4, the value of function will be:

f( -4) = 2 (-4) + 3

f( -4) = - 8 + 3

f( -4) = - 5

For x = 5, the value of function will be:

f( 5) = 2 (5) + 3

f( 5) = 10 + 3

f( 5) = 13

So, the range will become:

( -5, 13)

The graph of the function with points:

x        y

1        5

2       7

3       9

Therefore, we get that, the range of the function f(x) = 2 x + 3 will be ( -5, 13).

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Answer:

Yes

Step-by-step explanation:

Answer:

yes it can, i dont know why my answer was deleted lol

Step-by-step explanation:

Answer:

\( \huge \boxed{ \boxed{ \red{2 \sqrt{3} - 1}}}\)

Step-by-step explanation:

\(step - 1 : define \)

\( \tt \sqrt{13 - 4 \sqrt{3} } \)

\(step - 2 : simplify\)

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

1023/4

Step-by-step explanation:

shown in the picture

The value of JU in the similar triangles is 24 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

In similar triangles, corresponding sides are always in the same ratio.

Therefore, let's use the proportion to find the side JU of the triangle.

36 / 96 = -4 + 4x / 64

cross multiply

64 ×36 = 96(-4 + 4x)

2304 = -384 + 384x

2304 + 384 = 384x

2688 = 384x

divide both sides by 384

x = 2688 / 384

x = 7

Hence,

JU = -4 + 4(7)

JU = -4 + 28

JU = 24 units

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The statement 'the product of any two even integers is a multiple of 4.' is proved.

Here, we need to prove the statement ' The product of any two even integers is a multiple of 4.'

Let us assume that m and n be any two even integers.

By definition of even integer, there exists an integer r such that m = 2r , and there exists an integer s such that n = 2s

Now consider the product of integers m and n

m × n

= 2r × 2s

= 4rs, which is an integer because products of integers are integers. Therefore, mn = 4 · (an integer),

and so 4|mn ...............by definition of divisibility.

Hence proved.

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Answer:

5

Step-by-step explanation:

We have x-2 = 5

x-2 = 5 we separate parenthesis.

x(-2) = 5(+2)

x = 7

We can check this as what the x-2 is saying is  7-2 = 5

Answer:

Since it is an equilateral triangle,

Perimeter = 3s = 3 x side

=> 15 = 3 X (x - 2)

=> 15 = 3(x - 2)

=> 15 = 3x - 6

=> 3x = 15 + 6

=> 3x = 21

=> x = 21/3

=> x = 7

When x = 7,

=> Side = 7 - 2 = 5 inches

Since, it is an equilateral triangle all sides are of 5 inches each.

Answer:

For part one...

you will multiply 4.5 by 3 to get 13.5 .

For part two,

you will multiply 3m by 4 to get 12.

(: I hope this helps! BRAINLIEST is appreciated to get to virtuoso :)

Answer:

1. 625

2. 48.40

3. 7.18

4. 40

5. 340.97

6. 41,500

7.12,480

8. 19,225

9. 1,652

Step-by-step explanation:

i did the test

To calculate Jen's net worth, we subtract her liabilities from her assets. $6,964 - $1,670 - $3,642 = $1,652.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The answers are:

1. $625

To calculate the interest earned, we use the formula I = P * r * t, where I is the interest, P is the principal, r is the interest rate, and t is the time. Plugging in the values, we get I = 5000 * 0.025 * 5 = $625.

2. $48.40

To calculate the total amount of money in Dalton's account, we use the formula A = P * (1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time. Plugging in the values, we get A = 40 * (1 + 0.1/1)^(12) = $48.40.

3. $7.18

To calculate the interest earned by Harold, we use the formula A = P * (1 + r/n)^(nt) - P, where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time. Plugging in the values, we get A = 70 * (1 + 0.05/1)^(12) - 70 = $7.18.

4. 40%

To calculate the percentage of Alberto's income used to pay for rent and groceries, we add up the amounts and divide by his monthly income, then multiply by 100. (100/3200) * (1200+400) = 0.4 or 40%.

5. $420.98

To calculate Joe's net income, we subtract all of his expenses from his gross pay. Gross pay - federal income tax - social security tax - Medicare - gas - cell phone - school lunch = $550 - $95.00 - $15.45 - $11.38 - $20.20 - $45.00 - $22.00 = $340.97.

6. -$71,500

To calculate Philip's net worth, we subtract his liabilities from his assets. $250,000 - $291,500 = -$41,500.

7. $12,480

To calculate the current value of Avery's car, we subtract the purchase price of the car from the total value of Mary's assets. $53,755 - $41,275 = $12,480.

8. $18,895

To calculate Isabella's net worth, we subtract her liabilities from her assets. $16,700 + $4,950 - $925 - $1,500 = $18,225.

9. $1,652

To calculate Jen's net worth, we subtract her liabilities from her assets. $6,964 - $1,670 - $3,642 = $1,652.

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Okay, here we have this:

Considering the provided equation, we are going to find the requested values, so we obtain the following:

a)

In this case we are asked the expected grade of someone who does not spend time studying, that is x=0, when replacing we have:

y=3.82x+15.72

y=3.82(0)+15.72

y=0+15.72

y=15.72

The predicted midterm score for a student who doesn't spend any time studying is 15.72.

b)

In this case we are asked the expected grade of someone who spends 18 hours studying, that is x=18, when replacing we have:

y=3.82x+15.72

y=3.82(18)+15.72

y=68.76+15.72

y=84.48

The predicted midterm score for a student who spends 18 hours studying is 84.48.

c)

In this case we are asked about the slope of the function, that is, the change in the note for each increment in the unit of time. So let's remember that in a function of the form y=mx+b, the slope is represented by m. It means that the predicted increment is 3.82.

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

the answer is 10

Step-by-step explanation:

900 ÷ 90

=> 10 \(\sf{}\)

Answer:

The answer is 10.

Step-by-step explanation:

900/90=cut 0 of numerator and denominator then 90 divide by 9 is 10.

The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.

To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.

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(f/g)(-5) is equal to 1/4, and the value -1 is not in the domain of f/g.

To find (f/g)(-5), we need to substitute -5 into the functions f(x) and g(x) and then divide f(-5) by g(-5).

Given:

f(x) = (4+x)(6+x)

g(x) = 1+x

Substituting -5 into the functions:

f(-5) = (4+(-5))(6+(-5)) = (-1)(1) = -1

g(-5) = 1+(-5) = -4

Now, we can calculate (f/g)(-5):

(f/g)(-5) = f(-5) / g(-5) = -1 / -4 = 1/4

Therefore, (f/g)(-5) equals 1/4.

Now let's determine the values that are not in the domain of f/g. The values that are not in the domain of f/g are the values that make the denominator g(x) equal to zero. In this case, the denominator is g(x) = 1+x.

To find the values that make the denominator zero, we solve the equation:

1 + x = 0

Subtracting 1 from both sides, we get:

x = -1

So, the value x = -1 is not in the domain of f/g because it would make the denominator equal to zero.

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Answer

36, 12, 4, (4/3), (4/9), (4/27)

Explanation

Geometric sequence is one in which each term is obtained by multiplying or dividing a constant to the preceding term.

The nth term of a geometric sequence is given as

aₙ = a rⁿ⁻¹

where

a = first term = 36

n = number of terms

r = common ratio = (Second term)/(First term) = (Third term)/(Second term)

r = (12/36) = (4/12) = ⅓

So, we can find the next three terms.

Fourth term,

a = 36

n = 4

r = ⅓

For the fifth and sixth term, we can just keep multiplying by the common ratio, ⅓

Fourth term = (4/3)

Fifth term = (4/3) × (1/3) = (4/9)

Sixth term = (4/9) × (1/3) = (4/27)

Hope this Helps!!!

Answer:

The x-intercept of the graph is (-2,0)

OAmalOHopeO

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

Step-by-step explanation:

Your answer

Meal is 22$

10% tax, tax with price = 24.2$

She gave on tip = 4.84$

Total price = 29.04$

Mark it as Brainlist answer. Follow me.

Solution

The permutation is the number of possible ways to select the specified objects from the total number of objects in which the orders matters. The total objects is represented by n and selected objects is represented by the r.

Answer and Explanation:

This is an example of Permutation

Number of people: n = 25

Type of medals: r = 3

There are 13800 of ways to choose the gold,

silver, and bronze medal winners.



Answer:

A.

Step-by-step explanation:

The vertical line test is a way of finding out if a relation is a function.

Graph the relation.

Then imagine a vertical line moving from left to right over the graph of the relation.

If the vertical line intersects at most one point of the graph in any position you place the vertical line, then the relation is a function.

This function passes the vertical test since it never intersects more than one point on the vertical line at a time.

Answer: A.

Option A is correct -- 19.9

from figure :

AB=\(5+\frac{9}{2}\)

    =9.5

From Pythagoras theorem:

\(x^{2} =(9.5)^2} +1\)

\(x^{2} =91.25\)

\(x=19.9\)

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This can be written as an equation:

\(a^{2} +b^{2}=c^{2}\)

where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

The Pythagorean theorem is a very useful tool for solving problems involving right triangles, such as finding the distance between two points or the height of a ladder. It is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery.

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Answer:

(0, 1 )

Step-by-step explanation:

The y- intercept is where the line crosses the y- axis

On the y- axis the x- coordinate of any point is zero

From the table when x = 0 , y = 1

Then y- intercept is (0, 1 )