Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.
16 degrees
19 degrees
71 degrees
87 degrees

Answer:

176

Step-by-step explanation:

option a ( 176 cm²)

A trapezoid has a base of 12 centimeters, a height of 16 centimeters, and a top side length of 10 centimeters.

To find the area, we use the formula for the area of a trapezoid:

Area = 1/2 × (Base1 + Base2) × Height

Here, Base1 is 12 cm,

Base2 is 10 cm, and

the height is 16 cm.

the sum of the bases:

12 cm + 10 cm

= 22 cm.

Multiply by the height:

22 cm × 16 cm

= 352 cm².

Divide by 2 to get the area:

352 cm² ÷ 2

= 176 cm².

So, the area of the trapezoid is 176 cm².

Answer:

x=-18

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well we'd just solve the equation!

-7+1=-1+x/3+1

-6*3=x/3*3

x=-18

And to check:

-1+-18/3

-1-6=-7

^u^

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

-7 = -1 + [tex]\frac{x}{3}[/tex]

To solve this you must isolate x.

On the right side of the equation the one is negative. To cancel the -1 from the right side you must add 1 to both sides (what you do to one side you do to the other) since addition is the opposite of subtraction (negative). Doing this will make -1 zero on the right side of the equation and bring it over to the left side

-7 + 1 = -1 + 1 +  [tex]\frac{x}{3}[/tex]

-6 = 0 +  [tex]\frac{x}{3}[/tex]

-6 =  [tex]\frac{x}{3}[/tex]

The x is being divided by 3 and the opposite of division is multiplication.  To completely isolate x you must multiply 3 to both sides. This will cancel the three out on the right side of the equation and bring it over the left side.

-6 * 3 = [tex]\frac{x}{3}[/tex] * 3

-18 = x

Now check:

-7 = -1 + [tex]\frac{-18}{3}[/tex]

-7 = -1 + (-6)

-7 = -7

^^^This is true which means that x = -18

I hope this helped! Let me know if you have any questions

~Just a girl in love with Shawn Mendes

6x divided by 6 will be equal to x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 6x is divided by 6. The solution will be done as below:-

E = 6x / 6

Divide 6 by 6 we will get 1. The value of expression will be:-

E = x

Therefore, 6x divided by 6 will be equal to x.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

Take one reindeer out of the running for pulling the sleigh

Step-by-step explanation:

For this case we have:

A student plans to spend 2/5 of his earnings on his education. If you earn 25,000 this year, how much do you plan to spend on your education?

x: Let the variable that represents the student's earnings

y: Let the variable that represents the planned expenditure for education

If you plan to spend[tex]\frac {2} {5}[/tex] of your earnings on education we have:

[tex]y = \frac {2} {5} x[/tex]

According to the statement we have to:

[tex]x = 25,000[/tex]

So:

[tex]y = \frac {2} {5} (25000)\\y = 10,000[/tex]

Thus, the student plans to spend 10,000 on his education

Answer:

10,000

Answer:

The answer is C Usatesprep

Step-by-step explanation:

Answer

The correct answer for this problem is

A)Cathy's grade starts out high, then drops, then evens out to what it started as.

Step-by-step explanation:

I know this because I just took the test

Answer:

The radius of the cylinder is (1/2)x units

The area of the cylinder’s base is (1/4)πx2 square units

The height of the cylinder is 4x units

Step-by-step explanation:

The complete question is

A cylinder with a base diameter of x units has a volume of πx3 cubic units.

Which statements about the cylinder are true? Check all that apply.

(1) The radius of the cylinder is (1/2)x units.

(2) The radius of the cylinder is 2x units.

(3) The area of the cylinder’s base is (1/4)πx2 square units.

(4) The area of the cylinder’s base is (1/2)πx2 square units.

(5) The height of the cylinder is 2x units.

(6) The height of the cylinder is 4x units

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=\frac{x}{2}\ units[/tex] ----> the radius is half the diameter

[tex]V=\pi x^{3}\ units^3[/tex]

substitute the given values  in the formula of volume

[tex]\pi x^3=\pi (\frac{x}{2})^{2}h[/tex]

solve for h

simplify

[tex]x=(\frac{1}{4})h[/tex]

[tex]h=4x\ units[/tex]

Verify each statement

(1) The radius of the cylinder is (1/2)x units

The statement is true

see the explanation

(2) The radius of the cylinder is 2x units.

The statement is false

Because, the radius of the cylinder is x/2 units

(3) The area of the cylinder’s base is (1/4)πx2 square units

The statement is true

Because, the area of the cylinder's base is equal to

[tex]A=\pi r^{2}[/tex]

[tex]r=\frac{x}{2}\ units[/tex]

substitute

[tex]A=\pi (\frac{x}{2})^{2}[/tex]

[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]

(4) The area of the cylinder’s base is (1/2)πx2 square units.

The statement is false

Because, the area of the cylinder's base is equal to

[tex]A=\frac{\pi x^2}{4}\ units^2[/tex]

see the part (3)

(5) The height of the cylinder is 2x units.

The statement is false

Because, the height of the cylinder is 4x units (see the explanation)

(6) The height of the cylinder is 4x units

The statement is true

see the explanation

Answer: 4 cups

Step-by-step explanation: 40 - 26 = 16

16/4 = 4

Mr Bart can buy 4 packages of cups. $4 times 4 packages is $16 and 16 + $24 = $40. Hope this helps

Those are consecutive interior angles of a transversal across parallel lines.  That mouthful means they're supplementary, adding to 180°.

Answer: B. 75

the the original price be x

[tex]x - \frac{30}{100} x = 84 \\ \frac{100x - 30x}{100} = 84 \\ 70x = 8400 \\ x = \frac{8400}{70} \\ x = 120[/tex]

so the original price was $120

Answer: original price b4 30% discount was $120

Step-by-step explanation:

If at 30% discount, baseball glove is $84

It means 70% = 84

100% = x

Cross multiply

70x = 8400

x = 120

Answer: B

Step-by-step explanation:

Answer:

he needs  15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.

Step-by-step explanation:

20+20+20+10+10= 80

95-80= 15

10+5= 15

1 x 15= 15

5 x 3 = 15

therefore, he needs 15 more dollors, and they could be a 10 and a five, 15 ones, or 3 5s.

hope this helps

~ angilena

Answer:

The answer is 4

Step-by-step explanation:

Substitute 4 for x and you get 4(4)+2=18.

Answer:

2.7 x 5.2 = 14.04

Step-by-step explanation:

Answer: D

Step-by-step explanation:

5x6=30

[tex] \frac{1}{2} \times 8 \times 4 = \frac{32}{2} = 16[/tex]

[tex] \frac{115}{360} \times \pi \times {5}^{2} \\ = 25.08[/tex]

AREA OF THE COMPOSITE FIGURE

[tex]16 + 25.08 = 41.08ft^{2} [/tex]

Step-by-step explanation:

The question missing attachment (incomplete)

But the question said how far up does the ladder reach on the building?

See the attachment

Let the tita be 60° and the height of the building be 50 meters

Now

Opposite/hypotenuse = sin(tita)

50/x = sin60°

Cross multiply to find x

x = 50/sin(60°)

x= 50/0.8660

x=57.7 meters

Answer:

A. 6.67 m

Step-by-step explanation:

Below are attachments containing the complete question and solution

Answer:

B

Step-by-step explanation:

Answer:

[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]

Step-by-step explanation:

We want perform the following polynomial division.

[tex] \frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } [/tex]

We carry out the polynomial division in the attachment to obtain:

[tex]\frac{2 {x}^{4} + 2 {x}^{3} + 2 {x}^{2} + 2 {x}^{2} - x - 1 }{ {x}^{2} - x - 1 } = 2 {x}^{2} + 4x + 8 + \frac{11x + 7}{ {x}^{2} - x - 1 } [/tex]

See attachment;

Answer: 70 miles long

Step-by-step explanation:

7/10 x 100 = 70

its 70 miles long

Final answer:

The great bicycle race is 70 miles long.

Explanation:

To find the length of the great bicycle race, we need to multiply the length of the 100-mile astounding race by 7/10. Since 7/10 is a fraction, we can represent it as 7 divided by 10. Multiplying by a fraction is the same as multiplying the numerator by the same factor as the denominator. Therefore, we can multiply 100 by 7 and divide by 10 to find the length of the great bicycle race.

There are a few ways to do this computation. One way is to multiply 100 by 7, which equals 700, and then divide 700 by 10. The result is 70 miles. Therefore, the great bicycle race is 70 miles long.

Answer:

Twenty minus (20 -) the product of four and a number (4n) is (=) four (4) is written algebraically as: 20-(4n) = 4 Subtract 4 from both sides.

Step-by-step explanation:

mark brainliest

The total number of miles the car can travel in 6 hours is A. 6x miles per hour

To calculate the miles the car will travel in six hours

By using the formula of Distance = Rate * Time

Given that,

Average rate is given as "x" miles per hour

the time = 6 hours

To calculate the total miles in 6 hours = x * 6 miles per hour

Total miles = 6x miles per hour

Therefore, the total number of miles the car can travel in 6 hours is 6x miles per hour

Answer:

408 bags of dog foods were sold

Step-by-step explanation:

145 bags of beef flavored dog food

                           +

263 bags of cheese flavored dog food

                         =

408 bags of dog foods were sold.

Answer:

minimum value = 10

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 19

     = (x - 3)² + 10 ← in vertex form

with (h, k) = (3, 10 )

To determine maximum or minimum consider the value of a

• If a > 0 then minimum value of k

• If a < 0 then maximum value of k

Here a = 1 > 0, hence minimum value of k = 10

Answer:

The rigth answer is, ( 5/2 , -1 )

Step-by-step explanation:

To find the midpoint we use the respective formula:

m = ( x1 + x2 / 2 ,  y1 + y2 / 2 )

We replace:

m = ( 1 + 4/2  ,  3 + (- 5) / 2 )

We solve:

m = ( 5/2 ,  -1 )

Answer:

6i

Step-by-step explanation:

[tex]\sqrt{-36} = \sqrt{36} * i = 6 * i = 6i[/tex]

The square root of a negative number can always be simplified by doing this:

1) take the negative sign out of the square root.

2) multiply by i.

Answer:

The distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Step-by-step explanation:

From the given the diagram

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\mathrm{The\:distance\:between\:}\left(-2,\:-1\right)\mathrm{\:and\:}\left(3,\:1\right)\mathrm{\:is\:}[/tex]

[tex]=\sqrt{\left(3-\left(-2\right)\right)^2+\left(1-\left(-1\right)\right)^2}[/tex]

[tex]=\sqrt{\left(3+2\right)^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+\left(1+1\right)^2}[/tex]

[tex]=\sqrt{5^2+2^2}[/tex]

[tex]=\sqrt{25+4}[/tex]

[tex]=\sqrt{29}[/tex]

Therefore, the distance from N to T is :  [tex]\sqrt{29}[/tex]   or   (square root of 29)

Answer:

it is the square root of 29

Step-by-step explanation: