A side of the triangle below has been extended to form an exterior angle of 66°. Find
the value of x.
xo
48°
66°

A Side Of The Triangle Below Has Been Extended To Form An Exterior Angle Of 66. Findthe Value Of X.xo4866

Answers

Answer 1

Step-by-step explanation:

By Exterior Angle Theorem, the sum of the 2 inner angles in the triangle will be equal to the exterior angle.

=> x + 48° = 66°, x = 18°.

Answer 2

The required measure of the angle x is given as 18°.

Given that,
A side of the triangle below has been extended to form an exterior angle of 66°

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
The property of the triangle state that the sum of the remote interior angle is equal to the measure of the remote exterior angle,
So,
x + 48 = 66
x = 18°


Thus, The required measure of the angle x is given as 18°.

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Related Questions

write an expression where h is doubled then increased by 20%

Answers

2h*0.2

2h is h doubled

20% becomes 0.2

If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?

Answers

Answer: 123 students

Step-by-step explanation:

2/10 is 20% so you'd take 615 x 0.20 which is 123.

i need to know the next sequence in these fractions simplified

Answers

Answer:

The sequence is add 3/20

Step-by-step explanation:


Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.

Answers

Answer:

The scale factor of a dilation is 3.

Step-by-step explanation:

Given the length ST of the rectangle RSTU

The length ST of the rectangle = 8 units

It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8

i.e.

S'T' = 3(ST)

S'T' = 3(8)      ∵ ST = 8

S'T' = 24

It indicates that the RSTU has been dilated by a scale factor of 3.

As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.

Therefore, the scale factor of a dilation is 3.

A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?

Answers

Answer:

4.8

Step-by-step explanation:

took test

The model of the city would be 4.8 meters in its greatest dimension.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A city stretches for 480,000 meters in its greatest dimension.

And, The model will be 100,000 times smaller than the actual city.

Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.

Therefore, the size of the model in its greatest dimension would be;

⇒ 480,000 meters ÷ 100,000

⇒ 4.8 meters

Thus, the model of the city would be 4.8 meters in its greatest dimension.

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In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?

Answers

Answer:

1500%

Step-by-step explanation:

The formula for Percentage increase is

Increase/ Initial Amount × 100

Increase = Current Amount - Initial Amount

Increase = $320,000 - $20,000

Increase = $300,000

Percentage Increase =

$300,000/$20,000 × 100

= 1500%

The percent increase in home value in those 50 years is 1500%

Solve for x.
32 - 9 = 72 +14

Answers

Answer: their is no x?

Step-by-step explanation:

Answer:

Step 1 : 9=72 & 8=56

So, in 8 & 9, values are 72 & 56 resp. The gap between the two are

72 - 56 = 16

Step 2 : 8 = 56 & 7 = 42

So, in 8 & 7, values are 56 & 42 resp. The gap between the two are

56 - 42 = 14

Step 3 : 7 = 42 & 6 = 30

So, in 7 & 6, values are 42 & 30 resp. The gap between the two are

42 - 30 = 12

Step 4 : 6 = 30 & 5 = 20

So, in 6 & 5, values are 30 & 20 resp. The gap between the two are

30 - 20 = 10

Step 5 :

From steps 1, 2, 3 & 4 its’s clear that the gap between the next sequence is 8.

4 = x

So, now

20 - x = 8

X = 20 – 8

X = 4

So, 4 = 12

Now, to find 3 = y, we know that the gap between the next sequence is 6.

So, now

12 - y = 6

Y = 12 – 6

Y = 6

So,  3=6

Step-by-step explanation:

what's the quotient of 35.86÷2.2​

Answers

Answer:

The answer to your question is 16.3.

can y’all help me???

Answers

you will need 3 cups :)

does the point (2, 5) lie on the line y = 3x-1

Answers

Y=3x-1
5=3(2)-1
5=6-1
5=5
Therefore the answer is true!

The solution is Yes

The point P ( 2 , 5 ) lies on the equation of line y = 3x - 1

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = 3x - 1   be equation (1)

Let the point be represented as P

The coordinates of P is = P ( 2 , 5 )

Substituting the values of x and y in the equation , we get

y = 3x - 1

when x = 2 and y = 5 , we get

5 = 3 ( 2 ) - 1

5 = 6 - 1

5 = 5

Therefore , the solution is true

Hence , the point P ( 2 , 5 ) lies on the equation of line

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Which statement about the dilation of these triangles is true?

The scale factor is
The scale factor is 2
The scale factor is 3.
The scale factor is 4.

Answers

Answer

when 2 triangle scales are similar the ration reduces and become a scale factor

Answer:

The scale factor is 2

Step-by-step explanation:

The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years

Answers

Answer:

2099

Step-by-step explanation:

The formula for Exponential Decrease is given as:

P(t) = Po × e ^-rt

Where

r = Decrease rate = 3.5% = 0.035

t = time in years = 5 years

Po = Initial population = 2500

P(t) = Current Population after t years

Hence:

P(t) = 2500 × e^ -(5 × 0.035)

P(t) = 2500 × e^-0.175

P(t) = 2098.6425519

Approximately = 2099

The population of the town after 5 years = 2099

is 8 greater than -8

Answers

Answer:

yes

Step-by-step explanation: bc 8 is positive and -8 in negitive. 8 has a greater vealu bc its posivtive. -8 i has a leere vealu bc it negitive.

How do I solve this equation using long division?

Answers

Answer: 2x2 +3x+5

Step-by-step explanation:

If 2 : 9 = x : 18, then find the value of x

Answers

Answer:

4

Step-by-step explanation:

4 is the answer

Answer:

4

Step-by-step explanation:

2/9=x/18

9x=36

x=4

Mr. Foote needs exactly 6 folders for each fourth-grade student at Hoover Elementary School. If he bought 726 folders, to how many students can he supply folders? PLEASE HELP I HAVE 5 MINUTES TO ANSWER

Answers

Answer:

60try to get it done before the end of this week

A subset of values of the function g(x) is shown in the following table.

Answers

Answer:

Option (4)

Step-by-step explanation:

x              g(x)            Ist difference          IInd difference        Ratio

1              13                      -                                   -                        -

2              3                3 - 13 = -10                         -                       [tex]\frac{3}{13}[/tex]  

3             -3               -3 - 3 = -6                   -6 - (-10) = 4            [tex]\frac{-3}{3}=-1[/tex]

4             -5               -5 - (-3) = -2                -2 - (-6) = 4             [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]

5             -3               -3 - (-5) = 2                   2 - (-2) = 4            [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]

This table depicts,

1). Ist difference is not common

2). IInd difference is common

3). Ratio is not common

Therefore, this table represents a quadratic function because the second difference are all the same value.

Option (4) will be the answer.

what is 10 x 10 -9x 6 + 7 first to answer will get brainlyest

Answers

10 * 10 - 9 * 6 + 7
= 100 - 54 + 7
= 53
So, the answer to this question is 53

solve the equation and show the work please

Answers

X will be -1, Y is -5

Jacob makes a scale drawing for a crate with a scale factor of 1:20 the dimitions of his scale drawing is 3 in long and 2 in wide the bulder creates a scale drawing of the crate with the scale factor of 1:10. What are the dimitions of the builders drawing?

Answers

Answer:

6 in long ; 4 in wide

Step-by-step explanation:

With a scale of 1:20

Scaled drawing is 3 in long ; 2 in wide

Actual dimension :

Length = 20 * 3 = 60 in

Width = 20 * 2 = 40 in

Hence, to make a scaled drawing using 1 :10

Dimension :

Length = (1/10) * 60 = 6 inches

Width = (1/10) * 40 = 4 inches

The scale on a map is 4 cm = 25 miles. Dave measures the distance to the next town at 9 cm. How many miles away is the next town?

Answers

Answer:

58.333....

Step-by-step explanation:

8cm=50

1cm so 25/3

8.3333333333

Answer:

56.25 or 56 1/4

Step-by-step explanation:

If 4 cm is equal to 25 miles then we can divide 25 by 4 to see how many miles is in 1 cm.

25 divided by 4 is 6.25 or 6 1/4

Therefor 1 cm is equal to 6.25 miles.

Now we multiply 9 by 6.25 to get 56.25

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

1-yes rhombus

2-no rhombus

3-yes rhombus

Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?

Answers

Answer:  $50

Step-by-step explanation:

30 × 10 = 40 ft²  [garden area]

40 ÷ 25 = 1.6

1.6 ≈ 2

For the area of the entire garden, you need to buy two bottles of fertilizer.

25 × 2 = 50        [fertilization cost for the whole garden]

2/3x+5=21 pls use shoe work

Answers

[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]

Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!

Answers

Using function concepts, it is found that the correct options are:

Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).

What is the parent exponential function?

The parent exponential function is defined by:

[tex]y = e^x[/tex]

In this problem:

When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.

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what is the vertical asymptote of f(x)= 7/ x + 5

Answers

Answer:

Vertical Asymptotes: x=-5

Horizontal Asymptotes: y=7

ASAP plzzz answer 1 and 2!!! Directions are on the screenshot!! 50 pts + Brainliest

Answers

Answer:

- 1 -4 for the botome one

Step-by-step explanation: sorry thats all i got

Answer:

negative 1 -4

Step-by-step explanation:

Estimate 73,784-32,863 by first rounding each number to the nearest thousand

Answers

The answer is 40,000

152=8(3a-2) justify each step

Answers

Step-by-step explanation:

152 = 8(3a - 2)

152 = 8 × 3a - 8 × 2

152 = 24a - 16

152 + 16 = 24a

168 = 24a

a = 168/24

a = 7

Answer:

-7

Step-by-step explanation:

152=8(3a-2)

8(3a-2)=152

8(3a-2)/8=(152){8)

3a-2=19

3a-2+2=19+2

3a=21

3a/3=21/3

a=-7

Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?

Answers

Answer:

3 pizzas

Step-by-step explanation:

12 x 2 = 24

24 divided by 8 = 3

3 pizzas hope this helps i’m not good at explaining
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