(7xy-8yz+3x)-(4x-8yz)​

The sum of all the angles of a triangle is equal to 180°. The value of x is 12.

The sum of all the angles of a triangle is equal to 180°.

The Exterior Angle is the angle formed by either of a shape's sides and a line drawn from the opposite side.

We know that in a triangle the sum of the exterior angle and the interior angle is 180°. Therefore, the following angles of the triangle can be written as,

[tex]\angle H=180-(9x+6)[/tex]

[tex]\angle G=180-(10x-1)[/tex]

[tex]\angle J=180-(10x+7)[/tex]

Now, the sum of all the angles of the triangle is 180°, therefore, the sum can be written as,

[tex]\angle H+\angle G+\angle J=180^o\\\\180-(9x+6) + 180-(10x-1) + 180-(10x+7) = 180\\\\540-(9x+6)-(10x-1)-(10x+7)=180\\\\540-180 = (9x+6)+(10x-1)+(10x+7)\\\\360=9x+6+10x-1+10x+7\\\\360=29x+12\\\\360-12=27x\\\\x = 12[/tex]

Hence, the value of x is 12.

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Answer:

12

Step-by-step explanation:

The dimensions of the rectangular storage room are length = 15 ft and width = 13 ft

Let the

Givent hat its length is 2 feet longer than its width, we have that

L = W + 2

The area of the room is a rectangle A = LW where

Since the area of the room A= 195 ft², we have that

A = LW

LW = 195

Substituting the value of L into the equation, we have

LW = 195

(W + 2)W = 195

W² + 2W = 195

W² + 2W - 195 = 0

W² + 15W - 13W - 195 = 0

W(W + 15) - 13(W + 15) = 0

(W + 15)(W - 13) = 0

W + 15 = 0 or W - 13 = 0

W = -15 or W = 13.

Since W cannot be negative, W = 13 ft

Since L = W + 2

Substituting W into the equation, we have

L = 13 + 2

L = 15 ft

So, the dimensions of the rectangular storage room are length = 15 ft and width = 13 ft

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Answer:

[tex]\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}[/tex]

Given:

[tex]\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}[/tex]

[tex]\implies \textsf{area}=\dfrac{2160\pi}{360}[/tex]

[tex]\implies \textsf{area}=6\pi \textsf{ cm}^2[/tex]

[tex]\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}[/tex]

4.2 is biggest 4.2 is bigger than 4.18

20 > 18

20 > 9 so other one is smaller too

Answer:

Its an Arithmetic progression

Step-by-step explanation:

d1= -18-(-25)= 7

d2= -11-(-18)= 7

d1 = d2

r1 = -18/25=0.72

r2 = -11/-8= 0.611

r1 isnt = r2

Answer:

24

Step-by-step explanation:

There 3 cake flavor choices.

There are 2 frosting choices.

There are 4 size options.

Multiply to find the total number of choices.

3×2×4

= 24 different cakes can be made with these choices.

Answer:

B

Step-by-step explanation:

Earthquakes are formed when a plate is stuck and it later releases (which creates the shaking). The more tension, the greater an earthquake is.

Hope this helps :)

Have a nice day

Step-by-step explanation:

again, 2 unknowns.

x = number of 2- points baskets

y = number of 3- points baskets

we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.

x + y = 37

which gives us e.g.

x = 37 - y

and we know that with this unknown mixture they scored 80 points.

so,

2x + 3y = 80

as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.

so, again our 2 equations :

x = 37 - y

2x + 3y = 80

remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :

2×(37 - y) + 3y = 80

74 - 2y + 3y = 80

74 + y = 80

y = 6

and from

x = 37 - y

we get

x = 37 - 6 = 31

so, they had 31 2-points throws and 6 3-points throws.

Answer:

13 years the value of the car is 7700 dollars.

Step-by-step explanation:

Your search - { Present Volue = initial value (1-7.5%) t t is the years

∴7700 = 22300 (1-7,5%)^t

= $10.925 ) t = [tex]\frac{7700}{23300}[/tex] = 0.345    t=13

Supplement:

I year.

P value = 22300- 22300.7.5%

2 years

p value = (122300 - 22300. 7.5% ) - (22300-223107.5%)

             = (22300 - 12300.7.5% ) (1-7.5%)

              = 22300 (1-7.5%)(1-7.5%).

so t years :

p value = 22300 (1-7.5%)^t

Answer:

B

Step-by-step explanation:

I just took the test. Sorry for the late response.

Answer:

download Goutmath try it .

Because Goutmath help you in math so try it

Answer:

I don't think it is

Step-by-step explanation:

tell me if I'm wrong

Answer:

yes it is a right triangle

Step-by-step explanation:

tell me if im wrong

Answer: The answer is 5

answer:

219

Step-by-step explanation:

(base * height) + length (4 + 5 + 6)

24 + 13 (15)

219

Answer:

Because its a isoceles triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

28/4=7

Hope this helps! :)

Have a blessed day and good luck on your assignment

Please mark me as brainliest I really want to level up

Answer:

Donna will be paid

$

80

as interest.

Explanation:

S

I

=

P

×

R

×

T

100

Applying the formula for simple interest we get:

S

I

=

800

×

2

×

5

100

S

I

=

8

00

×

2

×

5

1

00

S

I

=

8

×

2

×

5

S

I

=

80

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

Did this question in class before ;D

5/1

Step-by-step explanation:

you get the whole number which is 5, turn it into a fraction which is 5/1 and it says 5 students like to sing.

I hope this helped

#5/1 is answer

Answer:

Solving for x;

2x + 85 + 5x + 29 = 930

combine like terms:

7x + 114 = 930

-114          -114

7x = 816

/7      /7

x = 116.57, now we replace the x with it's actual value:

∠ZT = 2(116.57) + 85 = 318.14°

∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;

318.14 + 611.85 = 929.99, which is close to 930 so we are correct.

Answer:

  1400 cm²

Step-by-step explanation:

The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.

The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.

The area of the larger pyramid is 25/9 times the area of the smaller one:

  A = (25/9) × 504 cm² = 1400 cm²

The surface area of pyramid 2 is 1400 cm².

_____

Additional comment

You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.

Answer:

The degree of a polynomial is the largest exponent on one of its variables (for a single variable), or the largest sum of exponents on variables in a single term (for multiple variables).

Step-by-step explanation:

ere, the term with the largest exponent is , so the degree of the whole polynomial is 6.

The degree of the polynomial function f is the number of zeros function f has.

The remaining zeros of the polynomial function are -i, 4 + i and 2 - i

The degrees of the polynomial is given as;

Degree = 6

The zeros are given as:

i, 4-i,2+i

The above numbers are complex numbers.

This means that, their conjugates are also zeros of the polynomial

Their conjugates are -i, 4 + i and 2 - i

Hence, the remaining zeros of the polynomial function are -i, 4 + i and 2 - i

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Answer: Choice A

Step-by-step explanation:

The fraction of time that Snowy slopes get 12 inches of snow or less is: 50% (1/2).

In a box plot, the distribution of a data set is displayed showing data points that lie between 25% (1/4), 50% (1/2), and 75% (3/4) of the data set.

50% is indicated by the vertical line that divides the rectangular box in the box plot.

Snowy slopes that get 12 inches of snow or less lie at 50%, which is 1/2 of the time.

Therefore, the fraction of time that Snowy slopes get 12 inches of snow or less is: 50% (1/2).

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1/2 ; got it right on IXL

Answer:

[tex]=\frac{49}{9}[/tex]

Step-by-step explanation:

Given the following question:

[tex]5\frac{4}{9}[/tex]

In order to convert a mixed number into an improper fraction, you have to multiply the denominator by the whole number (in this case; 9 and 5) and then add the numerator (in this case; 4) to receive your answer. Of course, keeping the denominator the same.

[tex]5\frac{4}{9}[/tex]
[tex]5\frac{4}{9}=9\times5=45+4=49=\frac{49}{9}[/tex]
[tex]=\frac{49}{9}[/tex]

Hope this helps.

The improper fraction for the given mixed fraction is 49/9.

The given fraction is [tex]5\frac{4}{9}[/tex].

These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)

They are written and can be converted to fraction as [tex]a\frac{b}{c}=\frac{(a\times c)+b}{c}[/tex]

Now, [tex]5\frac{4}{9}=\frac{(5\times9)+4}{9}[/tex]

= (45+4)/9

= 49/9

Therefore, the improper fraction for the given mixed fraction is 49/9.

Learn more about mixed fractions here:

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#SPJ6

Answer:

a)

[tex]8(x + 5)[/tex]

b)

[tex]13y + 10[/tex]

Step-by-step explanation:

Answer:

(a) 1st, 2nd

(b) 4th

Step-by-step explanation:

(a) Option 1: Expanding with the distributive property, we have

[tex]8(x+5)=8x+8\cdot 5\\~~~~~~~~~~~~=8x+40,[/tex]

which is equivalent.

Option 2: Multiplying the terms gives

[tex]8\cdot x+8\cdot 5= 8x+40[/tex],

which is equivalent.

Option 3: We don't know what x is, so there is no way to write [tex]48x[/tex] as [tex]8x+40[/tex]. This is not equivalent.

Option 4: Expanding with the distributive property gives

[tex]8(5x+1) = 8\cdot 5x+8\cdot1\\~~~~~~~~~~~~~=40x+8,[/tex]

which is not equivalent.

(b) First, we combine like terms in the given expression:

[tex]12+14y-2-y=12-2+14y-y\\~~~~~~~~~~~~~~~~~~~~~~~=10+(14-1)y\\~~~~~~~~~~~~~~~~~~~~~~~=10+13y.[/tex]

Looking at the given answer choices, only the fourth option is equivalent.