Triangle with a missing segment. 30, 20, 24, x

Answer:

  b. 30°

Step-by-step explanation:

In quadrilateral OTPR, angles O and P are supplementary.

  angle P = 180° -angle O = 180° -150°

  angle P = 30° . . . . matches choice B

Answer:

c. y>x

Step-by-step explanation:

When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.

Here is what I mean by this:

Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.

x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.

Now that we have an expression which is equal to x.

We can directly replace that with the 3x in the other equation by multypling this by 3:

x = 7 - 2y → 3(x) - 1/2y = 1

3(7 - 2y) - 1/2y = 1

Now that we only have y's, we can simply the equation, and solve for y.

21 - 6y - 1/2y = 1

21 -13/2y = 1

(get rid of the constant on the left side by subtracting)

-21 -21

-13/2y = -20

(remove the denominator by Multiplying)

×2 ×2

-13y = -40

÷13 ÷13

(cancel out the coefficient by dividing)

-y = -40/13

(take the opposite of the other side to make y positive)

×-1 ×-1

y = 40/13.

Now that we have y just solve for x since we already have a term of x in the other equation:

y = 40/13 → x + 2y = 7

x + 2(40/13) = 7

x + 80/13 = 7

Then subtract both constants to find x:

x + 80/13 - 80/13 = 7 - 80/13

x = 7 - 80/13

(create like denominators, but Multipy

Answer:

m<y = 155

Step-by-step explanation:

If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)

Answer:

155°

Step-by-step explanation:

The two angles are a pair of vertically opposite angles.

Verticall opposite angles are opposite to each other and are equal.

Angle x = Angle y

155 = 155

6% = .6

4840 x .06 = 290.4

290.4+ 4840 = 5130.4

5130.4 ÷ 24 = 213.766666667

$5130.40 is your total cost by loan term.

$213.77 is APPROXIMATELY your monthly total for 2 years.

For the 2 year loan, onthly payments is $211.26 and Total payment is $5070.12.

For the 5 year loan, Monthly payments is $93.57 and Total payment is $5614.21.

Assuming the loan is compounded monthly, the total monthly payment is calculated from the amortization loan formula as follows:

where:

Calculating the monthly payment for the 2 year loan:

i = monthly interest = 0.045/12

n = number of months = 2 × 12 = 24 months

[tex]A = \frac{4840(0.045/12 (1 +.045/12)^{24})}{((1 +.045)^{24-1})} = \$211.26[/tex]

Monthly payments = $211.26

Total payment = $5070.12

Calculating the monthly payment for the 5 year loan:

i = monthly interest = 0.06/12

n = number of months = 5 × 12 = 60 months

[tex]A = \frac{4840(0.06/12 (1 +.006/12)^{60})}{((1 +0.06)^{60-1})} = \$93.57[/tex]

Monthly payments = $93.57

Total payment = $5614.21

Therefore, the monthly payments are calculated using the amortization loan formula.

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Answer:

EF is not parallel to HL.

Step-by-step explanation:

They are not parallel because angle HLG is not equal to angle EFG. If the two lengths WERE parallel, those two angles would be equal. Angle GHL would be equal to angle GEF, but they are not equal, either.

Hope this helps!

Answer:Answer = 0

Step-by-step explanation:

Answer: A. one real solution

This solution is a double root (it repeats itself). An example would be x^2-8x+16 = 0 has the only solution x = 4.

Answer:

the solution is A

Step-by-step explanation:

[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]

[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]

Answer:

3ab^2(3/b)

THE ANSWER A

Step-by-step explanation:

2020 HEHE

Answer:

x=0, 3/2, -1, -5/3

Step-by-step explanation:

The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)

The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)

So the answer is 0, 3/2, -1, and -5/3.

Answer:

Y=1/5x+1

Step-by-step explanation:

change the y intercept so it is 1

Answer:

What are Logarithmic Functions?

We can think of logarithmic functions as the inverse of exponents.

The following diagram shows how logarithm and exponents are related. Scroll down the page for examples and solutions.

Logarithms and Exponents

Step-by-step explanation:

Answer:

I think it decreased by 21%

Step-by-step explanation:

because 86 - 65 = 21

Answer:

not sure,but I think the answer is 3 to 4

Answer:

Step-by-step explanation:

reqd. space=difference of volumes=4/3 πR³-4/3πr³=4/3π(R³-r³)

=4/3 π(5³-4³)

=4/3 π(125-64)

=4/3π(61)

≈255.5 cm³

Answer:

The correct options are:

x= -1.1

x= 2.4

x = 6

Step-by-step explanation:

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0. that are

At x= -1.1

At x= 2.4

At x = 6

Thus, these are the roots

Answer:

We know that h times x equals the expression: -4x-10. We have been given our value of h which is -4. So we if we plug in the values for the variables, our expression would be: -4(-5). Since they are both negative values, the answer is going to be positive. So, -4 times -5 equals 20.

Answer: 20

Answer:

n = 25°

Step-by-step explanation:

All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:

90 + (n + 40) + n = 180.

Then we combine like-terms and subtract:

130 + 2n = 180,

2n = 50.

Then we divide by 2 to get our answer:

n = 25.

To double check, we insert 25 as our value:

90 + (40 + 25) + 25 = 180.

Answer:

B. 3,300

Divide 28,875 by 109,800,724.

Answer:

B

Step-by-step explanation: I divide 109,800,724 and 28,875. I used calculator and estimated

Answer:

see explanation

Step-by-step explanation:

Given

p = kq³

(a)

To find k use the condition when p = 9, q = 3, that is

9 = k × 3³ = 27k ( divide both sides by 27 )

k = [tex]\frac{9}{27}[/tex] = [tex]\frac{1}{3}[/tex]

p = [tex]\frac{1}{3}[/tex] q³ ← equation of variation

(b)

  When q = 6, then

p = [tex]\frac{1}{3}[/tex] × 6³ = [tex]\frac{1}{3}[/tex] × 216 = 72

(c)

When q = 1, then

p = [tex]\frac{1}{3}[/tex] × 1³ = [tex]\frac{1}{3}[/tex]

(d)

When p = 576 , then

576 = [tex]\frac{1}{3}[/tex] q³ ( multiply both sides by 3 )

1728 = q³ ( take the cube root of both sides )

q = [tex]\sqrt[3]{1728}[/tex] = 12

Answer:

well try to drag each book in each books that's what its asking so what's the specific question that you have

Answer:

Step-by-step explanation:

Lowest weight is 0.75 lb. so this will come into the small box.

Then 2.4 lb will come into medium box.

The heaviest weight 3.1 lb will come into large box

Answer:

n = 1/2

Step-by-step explanation:

So the equation is 4/5n - 1/5 = 2/5n.

So, the first thing that we need to do is get the variable on one side.

So, to do that we need to subtract 4/5n on both sides.

Now our equation is -1/5 = -2/5n

Now the last step is to simplify.

To do that, we need to multiply by the reciprocal of 2/5 on both sides.

That leaves us with 1/2 = n

Answer:

n = 2

Step-by-step explanation:

=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]

Combining like terms

=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]

=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]

Cross Multiplying

=> 5n = 2*5

=> 5n = 10

Dividing both sides by 5

=> n = 2

Answer:

Hexagonal prism

Step-by-step explanation:

it has 2 bases and six rectangular faces

Answer:

C

Step-by-step explanation:

Answer: it is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using Pythagoras theorem,

AC^2 = AB^2 + BC^2

AC^2 = 4^2 + 15^2

AC^2 = 16 + 225

AC^2 = 241

AC = √241

Answer:

(x-1) ^2 + (y+4)^2 = 4

Step-by-step explanation:

The equation of a circle can be written as

(x-h) ^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-1) ^2 + (y- -4)^2 = 2^2

(x-1) ^2 + (y+4)^2 = 4

Answer:

Option C.

Step-by-step explanation:

In the given data minimum value is 0.5 and maximum value is 6.5.

In option A and D, last interval is 4-6. It means 6.5 is not included in these histograms. So, option A and D are incorrect.

Now,

Class interval   Students                  Number of students

   0-3        B,C,D,F,G,J,K,L,M,N,O           11

   3-6           E,H,I                                     3  

   6-9             A                                         1

Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 3 is 11, height of the bar in the x interval 3 to 6 is 3, and the height of the bar in the x interval 6 to 9 is 1.

Therefore, the correct option is C.

Answer:

The answer is C.

Step-by-step explanation:

Histogram plots number of hours spent listening to music daily on x axis and number of students on y axis. Height of the bar in the x interval 0 to 3 is 11, height of the bar in the x interval 3 to 6 is 3, and the height of the bar in the x interval 6 to 9 is 1.

Answer:

Just a guess but I think 5

Step-by-step explanation:

The top right square on all boxes is the difference of the second box and the first box which equals the third box. This rule is applied to all of the other boxes so if I'm not wrong the question mark should be 5

Answer:es el #5

Step-by-step explanation:

;)

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.

The equation of a quadratic function, of vertex (h, k), is given by:

y = a(x – h)² + k

Where a is the leading coefficient.

Consider functions f and g below.  

g(x) = –x² + 2x + 4

The function can be written as

g(x) = –(x – 1)² + 5

As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.

Then the correct option is C.

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Answer:

Plumer : $198

Electrition : $270

Step-by-step explanation:

The Electrician makes $ 216 and Plumber makes $ 252

The hourly wage of the electrician = $ 24

The hourly wage of the plumber = $ 42

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the hourly wage of electrician be = $ x

Let the hourly wage of plumber be = $ y

The average of hourly wage of an electrician and plumber = $ 33

So , ( x + y ) / 2 = 33

Multiply by 2 on both sides , we get

x + y = 66   be equation (1)

And , One day a contractor hires an electrician for 9hr of work and the plumber for 6hr of work

So , total wages =
9 hours of work by electrician + 6 hours of work by plumber

9x + 6y = $ 468   be equation (2)

Now , we have 2 equations

Multiply equation (1) by 6 , we get

6x + 6y = 396   be equation (3)

And ,

equation (2) - equation (3) , we get

3x = 72

Divide by 3 on both sides , we get

x = 24

Substituting the value of x in equation (1) , we get

y + 24 = 66

Subtracting 24 on both sides, we get

y = 42

So , the hourly wage of electrician is $ 24 and the hourly wage of plumber is $ 42

Now , wage of electrician for 9 hours = 24 x 9

                                                              = $ 216

Wage of plumber for 6 hours = 42 x 6

                                                 = $ 252

So total wage = 216 + 252 = $ 468

Hence , the electrician makes $ 216 and plumber makes $ 252

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