Mathematics College

Triangles have a total of 180°. Use the triangle below to determine the value of X.

Answers

Answer 1

Answer:

3x=105

x=35

Step-by-step explanation:

40+3x+x = 180 (Angle sum property)

40 +4x=180

4x = 180-40

140

x = 140/4

=35

3x = 35 x 3

105

x = 35

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Related Questions

A restaurant bill is $75. You want to leave about a 20% tip. Which is a 20% tip?

Answers

75*.20= 15

The tip is $15

What is the area of a square with sides of length 9?
O A. 54 square units
B. 81 square units
O C. 18 square units
O D. 36 square units
SUE

Answers

B. 81 square units
Area for a square is length times width. In this case, both are 9 so 9 x 9 = 81

WILL GIVE BRAINLIEST! PLEASE ANSWER!

Answers

Answer:

You have the right answer ( y=4x )

Step-by-step explanation:

Hope this helped, Have a Great Day!!

y=4x i’m pretty sure (:

PLEASE I NEED HELP ASAP

Answers

Answer:

mrs heershap

Step-by-step explanation:

Which of these figures shows parallel lines? Help please

Answers

Answer:

B a parrelel line means there not inerscting

Step-by-step explanation:

58 students on a bus how many students were fit on a six buses

Answers

Answer:

348

Step-by-step explanation:

If P is the orthocenter of △ABC, AB = 13, BF = 9,and FC = 5.6, find each measure & the perimeter of triangle ABC.

Answers

Answer:

[tex]Perimeter = 38.6[/tex]

Step-by-step explanation:

Given

[tex]A\ B = 13[/tex]

[tex]B\ F = 9[/tex]

[tex]F\ C = 5.6[/tex]

Required

Calculate the perimeter of A B C

To calculate the perimeter of A B C, we sum up the sides of the triangle

i.e.

[tex]Perimeter = A B + B\ C + A\ C[/tex]

AB is given in the question already.

So, we need to calculate B F and F C

To solve for BF, we consider triangle B F C

Using Pythagoras Theorem, we have:

[tex]B\ C^2 = B\ F^2 + F\ C^2[/tex]

Substitute values for BF and FC;

[tex]B\ C^2 = 9^2 + 5.6^2[/tex]

[tex]B\ C^2 = 81 + 31.36[/tex]

[tex]B\ C^2 = 112.36[/tex]

[tex]B\ C^2= \sqrt{112.36[/tex]

[tex]B\ C = 10.6[/tex]

Next, we calculate A C.

To calculate A C, we need to calculate A F, considering triangle B F A

Using Pythagoras Theorem, we have:

[tex]A\ B^2 = B\ F^2 + A\ F^2[/tex]

Substitute values for B F and A B;

[tex]13^2 = 9^2 + A\ F^2[/tex]

[tex]169= 81 + A\ F^2[/tex]

[tex]A\ F^2 = 169 - 81[/tex]

[tex]A\ F^2 = 88[/tex]

[tex]A\ F = \sqrt{88[/tex]

[tex]A\ F = 9.4[/tex]

Since F lies on line A C:

[tex]A\ C = A\ F + F\ C[/tex]

[tex]A\ C = 9.4 + 5.6[/tex]

[tex]A\ C = 15.0[/tex]

Recall that:

[tex]Perimeter = A\ B + B\ C + A\ C[/tex]

[tex]Perimeter = 13 + 10.6 + 15.0[/tex]

[tex]Perimeter = 38.6[/tex]

Hence, the perimeter is 38.6

Given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:

AB = 13BC = 10.6AC = 15Perimeter = 38.6

Recall:

An altitude is the line that connects the vertex of a triangle to the opposite side of which it is perpendicular to that side.Orthocenter is the point where all three altitudes intersect each other.

Given that P is the orthocenter of triangle ABC, where,

AB = 13BF = 9FC = 5.6

Perimeter of △ABC = AB + BC + AC

First, we need to find BC and AC.

△BFC is a right triangle, apply Pythagorean theorem to find BC:

[tex]BC = \sqrt{BF^2 + FC^2}[/tex]

Substitute

[tex]BC = \sqrt{9^2 + 5.6^2}\\\\\mathbf{BC = 10.6}[/tex]

△BFA is a right triangle, apply Pythagorean theorem to find FA:

[tex]FA = \sqrt{AB^2 - BF^2}[/tex]

Substitute

[tex]FA = \sqrt{13^2 - 9^2}\\\\\mathbf{FA = 9.4}[/tex]

AC = FA + FC

Substitute

AC = 9.4 + 5.6

AC = 15

Perimeter of △ABC = AB + BC + AC

Substitute

Perimeter of △ABC = 13 + 10.6 + 15

Perimeter of △ABC = 38.6 units

Therefore, given that P is the orthocenter of triangle ABC, applying the properties of an orthocenter of a triangle and the Pythagorean Theorem, each measure and the perimeter of △ABC are:

AB = 13BC = 10.6AC = 15Perimeter = 38.6

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Find three positive numbers whose sum is 100 and whose product is a maximum.

Answers

Answer:

The numbers are;

x = 100/3, y = 100/3, z = 100/3

Step-by-step explanation:

Given the data in the question;

so let the numbers be; x , y and z

x + y + z = 100

now

G(x,y,z) = x + y + z - 100

F(x,y,z) = xyz

Fx = yz, Gx = 1

Fy = xz, Gy = 1

Fz = xy, Gz = 1

Fx = λ × Gx

yz = λ

Similarly, xz = lambda

And xy = lambda

From above clearly, x = y = z

x + y + z = 100

3x = 100

x = 100/3

since, x = y = z therefore, each number is equal to 100/3

x = 100/3, y = 100/3, z = 100/3

We want to find 3 positive numbers such that their sum is 100 and the product is maximum.

The maximum product is P = 37,025.93

Let's say that our 3 numbers are:

A, B, and C.

We must have:

A + B + C = 100

The product of these 3 numbers is:

P = A*B*C

For the restriction, we can write:

A = 100 - B - C

Now we can replace that in the product equation to get:

P = (100 - B - C)*B*C

P = 100*B*C - C*B^2 - B*C^2

Now we want to maximize this, to do it, we need to find the zeros of the derivate of the function. This is a two-variable function, but the dependence on C is exactly the same as the dependence on B, so we can find the zero of deriving with respect to one of these only.

dP/dB = 100*C - 2*C*B - C^2 = 0

C*(100 - 2*B - C) = 0

One solution is C = 0, the other is:

C = 100 - 2*B

And from the first restroctopm:

A + B + C = 100

we can get:

C = 100 - A - B

Then:

100 - A - B = 100 - 2*B

Then we get A = B

And if we derive the equation for C instead of B, we will get similar results that will lead to:

A = B = C.

This is what maximizes the product, then we have:

A + B + C = 3*A = 100

A = 100/3 = 33.33

P = (33.33)^3 = 37,025.93

This is the maximum product.

If you want to learn more, you can read:

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A license plate is to consist of digits followed by uppercase letters. Determine the number of different license plates possible if the first and second digits must beâ odd, and repetition is not permitted.A. 71, 610, 739, 200,000 B. 795, 674, 880,000 C. 7, 894, 720 D. 8, 840, 832,000

Answers

Answer:

D. 8, 840, 832,000

Step-by-step explanation:

The computation of the number of license plates possible is shown below:

Here the first position could be taken by any of the five odd numbers

The second position could be taken by any of the 4 odd numbers

The third position could be taken by the eight left numbers

The fourth position could be taken by another seven numbers

Als the first digit could be any of the 26 upper case letters and so on

So,

= 5 × 4 × 8 × 7 × 26 × 25 × 24 × 23 × 22

= 8,840,832,000

Therefore option D is correct

Cole is saving money at a constant rateSuppose he initially has $190 saved, and after 3 months, he has $265 saved. Which of these expresses the rate at which Cole is saving?

Answers

Answer:

His unit rate per month is 25 dollars

Step-by-step explanation:

Cole has saved 25 dollars per month. by subtracting 190 from 265 you are left with 75. when left with 75 you can divide by 3 for the the 3 months hes been saving his money. 75 divided by 3 is 25.

Jay works at a sandwich shop. He needs to make 7 turkey sandwiches. Each sandwich will have 1/3 of a pound of turkey. How many pounds of turkey will Jay need to make the sandwiches? Remember what of means! And remember to press submit after you answer the question

Answers

Answer:

Jay will need 2 and 1/3 pounds of turkey.

Step-by-step explanation:

Since Jay uses 1/3 per sandwich and is making 7, multiply 7 by 1/3.

That gets you 7/3s

Convert it into a mixed number.

3 goes into 7 twice, with one third left over.

So, Jay needs 2 1/3.

hope this helped!

Answer:

approximately 2.3 pounds of turkey. Trust the BlueDragon

Step-by-step explanation:

7 times 1/3= 2.33333

A T-Rex made 16 waffles for his friends for breakfast. 5 were blueberry waffles and the rest were chocolate chip waffles. How many chocolate chip waffles did he make?

Answers

Answer: 11 waffles were chocolate chip

Step-by-step explanation:

16-5=11 waffles were chocolate chip

Suppose that the age of all the U.S. first ladies when they married was recorded. The mean age of U.S. first ladies when they married would be a:________A) PopulationB) StatisticC) SampleD) Parameter

Answers

Answer:

B) Statistic

Step-by-step explanation:

The mean age of U.S. first ladies when they married would be a Statistic. This is because the mean age would be a specifically targeted value of the population that is being analyzed. In this scenario, the population would be all of the First Ladies, while the Sample would be the data gathered from the population under certain parameters. Statistics can be a variety of different values that revolve around the samples gathered such as average age, average height, max number of blue-eyed First Ladies, etc.

picture attached please help!

Answers

The answer is 12.56.

I just used the area of circle formula

The formula is 3.14 x r^2

2 x 2 is 4

4 x 3.14 is 12.56

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The average of 5 quiz grades is 10. When the lowest grade is dropped and the new average is calculated, it turns out to be 11. What was the score of the dropped grade?

Answers

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

EASY QUESTION WILL GIVE BRAINLIEST!!!
Tyler has a baseball bat that weighs 28 ounces.
Find this weight in kilograms and in grams. (Note: 1 kilogram 35 ounces).
Make a table

Answers

a² + b² = c²

c = √a² + b²

Where c = diagonal

a = 30 inches

b = 38 inches

Answers

Answer:

28416

Step-by-step explanation:

No digits can be repeated

"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8

"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8

"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2

"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry

This means that we have 2841(?)

Because this number is even and no digits can be repeated, the only possible digits from those available is 6

Therefore the number is 28416

14. (01.04)
On the graph of the equation 3x + 2y = 18, what is the value of the y-intercept?
-9
-6
6
9

Answers

Answer:

Step-by-step explanation:

U divide 18 by 3.

Answer:

Step-by-step explanation:

In slope-intercept form of linear equation y = mx + b , value of "b" is y-intercept.

Let solve 3x + 2y = 18 for "y"

2y = - 3x + 18

y = [tex]-\frac{3}{2}[/tex] x + 9 ⇒ 9 is y-intercept.

===========

There is another way to solve this kind of problems:

Coordinates of y-intercept are (0, y) .

3(0) + 2y = 18

2y = 18

y = 9

(0, 9)

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