In EFG the measure of G=90 FG=21 and EF=63 feet find the measure of E to the nearest degree. ​

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Measure of an exterior Angle of a triangle is sum of two opposite interior angles of the same triangle ~

that is :

[tex]\qquad \tt \dashrightarrow \: \angle1 = 60 + 30[/tex]

[tex]\qquad \tt \dashrightarrow \: \angle1 = 90 \degree[/tex]

So, D is the correct choice ~

Step-by-step explanation:

As the sum of all angles of triangle is 180°

and we have been given 2 angles i.e 30° and 60°

So, Third angle will be 90°

Angle 1 = 180°-90° (as the value of angle made by a straight line is 180°)

Angle 1 = 90°

Answer:

9.165

Step-by-step explanation:

Pythagorean Theorem implies a^2 + b^2 =c^2

AC= hypotenus

AB= 4

CB= ?

10^2=4^2+CB^2

CB= √10^2-4^2

    = 9.165

Answer:

360 in²

Step-by-step explanation:

Total SA = 2 triangles + 3 squares

Triangles:

A = bh/2

A = (9 · 10)/2

A = 90/2

45 in²

Squares:

A = bh

A = (9)(10)

90 in²

Total SA: 2(45) + 3(90)

Total SA: 360 in²

I hope this helps!

Answer:

15cm²

Step-by-step explanation:

Formula of a triangle:

½ × base × height

= ½ × 5 × 6

= 15 cm²

Hope this helps =)

Answer:

15 cm squared :)

Step-by-step explanation:

Area of triangle: b(h)/2

Now lets solve!!

5(6)/2

30/2

15

Have an amazing day!!

Plerase rate and mark brainliest!!

Answer:

choose D

Step-by-step explanation:

x/(x²+3x+2) - 1/[(x+2)(x+1)]

x² + 3x + 2 = x² + 2x + x + 2

= x(x + 2) + (x + 2)

= (x + 2)(x + 1)

= x/[(x+2)(x+1)] - 1/[(x+2)(x+1)]

= (x-1)/[(x+2)(x+1)]

= (x-1)/(x²+3x+2)

Answer:

1357.2

Step-by-step explanation:

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

[tex]=\pi *6^{2} *12[/tex]

[tex]=1357.2[/tex]

Let total data be x GB

then

4% of x = 1.2GB

4% × x = 1.2

0.04 x = 1.2

x = 1.2 / 0.04

x = 120 ÷ 4 = 30 GB

Answer:

90,000

Step-by-step explanation:

So a scientific notation is written as [tex]N*10^k[/tex]

So in this scientific notation its just equivealent to saying

[tex]9*10^4\\9*(10*10*10*10)\\9*10,000\\90,000[/tex]

Answer:

5

Step-by-step explanation:

Answer:

Your answer is 180

Step-by-step explanation:

180 x 5 = 900

The required table of values for equation y=5-2x is;

x | y

0   5

1    3

2    1

3   -1

Tables of values are values used to represent functions.

Given the linear function expressed as y = 5 - 2x, we are to form a tables of values for the function.

Using the values of x = 0, 1, 2, and 3

If x = 0

y = 5 - 2(0)

y = 5

If x = 1

y = 5 - 2(1)

y = 3

If x = 2

y = 5 - 2(2)

y = 1

If x = 3

y = 5 - 2(3)

y = -1

Hence the required table of values for equation y=5-2x is;

x | y

0   5

1    3

2    1

3   -1

Learn more on function and tables here: https://brainly.com/question/10439235

Answer:

B. 314.9 m2

Step-by-step explanation:

Answer:

the photo has the anwer

and it up to you if this is right it should be can I be marked as brainliest

The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex].  The simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.

Given that,

The expression is [tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]

We have to simplify the expression.

Simplify the expression means solving a math problem is the same thing as simplifying an expression. You basically attempt to write an expression as simply as you can when you simplify it. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Take the expression

=[tex]\frac{(x^{19}y^{21})^{4} }{(x^{2} y^{6})^{2} }[/tex]

Multiply the powers

=[tex]\frac{x^{76}y^{84} }{x^{4} y^{12} }[/tex]

Divide the x and y terms

=[tex]{x^{72}y^{72} }[/tex]

Therefore, We got the simplified expression as [tex]{x^{72}y^{72} }[/tex]. Option B is correct.

To learn more about expression visit: https://brainly.com/question/14083225

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Answer:

b = 5

Step-by-step explanation:

x = 3
3B = 15
3B/3 = 15/3
B = 5

The area of the triangle is the half of the product of base and height then the correct option is A.

Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.

Points A, B, and C are midpoints of the sides of the right triangle DEF.

Then the area of the triangle is given as

Area of the triangle = half of the product of base and height

That can be written as

[tex]\rm Area = \dfrac{1}{2} \times b \times h[/tex]

Thus, the correct option is A.

More about the triangle link is given below.

https://brainly.com/question/25813512

Answer:

B,C,D

Step-by-step explanation:

Answer:

7.319 x 10^-3

Step-by-step explanation:

4.56 * 10^9 / 6.23 * 10^11  = .7319 x 10^-2

Answer:

The quotient is 7.3194 times 10 to the -3 power.

Step-by-step explanation:

Got the question right. EDGE 2022.

Answer:B 73

Step-by-step explanation:

The volume of the prism which is filled with 135 cubes is 5 cubic feet.

What is the Volume of Cube ?

The volume of a cube defines the number of cubic units, occupied by the cube completely. The unit of volume of the cube is in cubic units such as cu. centimeters, cu. meters, cu. inches, cu. feet, etc.

Here Prism is filled with 135 cubes.

Volume of prism = volume of 135 cubes

                            = 135 X side X side X side

                            = 135 X 1/3 X 1/3 X 1/3

                            = 135 / 27

Volume of prism = 5 cu. feet

Thus, The volume of the prism which is filled with 135 cubes is 5 cubic feet.

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The population density is the ratio of the number of geese to the area. Then the greatest population density in pond C is 128.

The population density is defined as the number of objects present in the unit area.

The formula is given as

[tex]\rm Population\ density = \dfrac{number\ of \ object}{total \ area}[/tex]

The table shows the number of resident geese living in four different ponds. a 3-column table has 4 rows.

Then the greatest population density of the geese will be

[tex]\rm Population\ density = \dfrac{192}{1.5} = 128[/tex]

More about the population density link is given below.

https://brainly.com/question/1581160

Answer:

pond B

Step-by-step explanation:

edg 2022

Answer:

i dont the answer

Step-by-step explanation:

hey u, you're a loser

Answer:

10

Step-by-step explanation:

Let (2, 7) = [tex](x_{1} ,y_{1} )[/tex]    and (8, -1) = [tex](x_{2} ,y_{2} )[/tex]

 = [tex]\sqrt{(8-2)^{2} + (-1 -7)^2}[/tex]

= [tex]\sqrt{6^2 +(-8^2)}[/tex]

= [tex]\sqrt{36 + 64}[/tex]

= [tex]\sqrt{100}[/tex]

= 10

The length of the segment with endpoints at (2, 7) and (8, -1) using distance formula is 10 units.

Distance formula is the the formula for calculating the length of a line segment given the coordinates of the endpoints. The formula is given as :

Given the endpoints [tex](x_1,y_1), (x_2, y_2)[/tex]

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given in the question,

[tex](x_1,y_1) = (2,7)\\(x_2, y_2)=(8,-1)[/tex]

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d= \sqrt{(8-2)^2+(-1-7)^2}\\\\d= \sqrt{(6)^2+(-8)^2}\\\\d = \sqrt{36+64} = \sqrt{100} = 10[/tex]

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Answer:

6x²+9x+1

Step-by-step explanation:

Check out the attached photo

Answer:

315°

Step-by-step explanation:

Finding m∡DHE

Answer:

m∡DHE = 315°

Step-by-step explanation:

Angles around a point always add up to 360°.

⇒ m∡DHE = 360° - m∡ED

                  = 360° - 45°

                  = 315°

Answer:

  2 3/4 miles

Step-by-step explanation:

Remaining miles are found by subtracting miles already traveled from the number that need to be traveled.

__

12 1/2 - 2 1/4 - 7 1/2

= (12 1/2 -7 1/2) -2 1/4

= 5 -2 1/4 = 2 3/4

The letter traveled 2 3/4 miles on Wednesday to reach its destination.

Answer:

90

Step-by-step explanation:

In order to find the average of something, you add all the numbers and then divide it by how many numbers there were.

69+68+100+105=360

360 ÷ 4 = 90

John's average is 90.

Brainliest please?

Answer:√44

Step-by-step explanation:

Using linear function concepts, it is found that graph A is the one that best represents the relationship.

A linear function is modeled by:

y = mx + b

In which:

In this problem, there is a fixed fee of $10, plus a fee of $2 per movie, hence m = 2, b = 10, and the function is given by:

y = 2x + 10.

Due to the y-intercept of y = 10, that is, when x = 0, y = 10, graph A is the one that best represents the relationship.

More can be learned about linear function concepts at https://brainly.com/question/24808124

Both the median and the range changed, the correct option is A.

Median, in statistics, is the middle value of the given list of data, when arranged in an order.

The data set that contains the outlier is given as:

4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the data is: 4

The median or middle quartile i.e. [tex]\rm Q_2[/tex]  is the central tendency of the data and exists in the middle of the data.

The median is: 16

Also, the lower set of data is:

4,14,15,15,16

The lower quartile i.e. [tex]\rm Q_1[/tex]  is the median of the lower set of data.

The  lower quartile i.e. [tex]\rm Q_1[/tex] = 15

Similarly, the upper set of data is:

18, 19, 20, 20, 21

the upper quartile i.e. [tex]\rm Q_3[/tex]  is the median of the upper set of data.

upper quartile i.e. [tex]\rm Q_3[/tex] = 20

Also, the interquartile range is:

[tex]\rm Q_3-Q_1=20-15=5[/tex]

The maximum value of the set is 21.

Range = Maximum value-Minimum value =21 - 4 = 17

As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.

After removing the outlier the data set is:

14, 15, 15, 16, 16, 18, 19, 20, 20, 21

The minimum value of the set =14

The maximum value of set =21

Range = Maximum value-Minimum value =21-14 = 7

Hence, Both the median and the range changed.

To know more about median and range click the link given below.

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