6. Find the measure of each
marked angle.

6. Find The Measure Of Eachmarked Angle.

Answers

Answer 1
ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60

Please mark as brainliest
Answer 2

The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.

The angles are given as:

∠1 = 10x-20 and ∠2 = 7x+4

As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.

By alternate exterior angles, it can be written as:

∠1 = ∠2

10x-20 = 7x+4

10x -7x = 4 + 20

3x = 24

x = 24/3

x = 3

From given angles:

80 - 20 = 60

56 + 4 = 60

Thus, the measure of each marked angle is 60 degrees.

Learn more about alternate exterior angles here:

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Related Questions

what is the probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw. give your answer as a ratio reduced to simplest terms.​

Answers

The probability that both marbles are yellow marbles is 1/25

How to determine the probability?

The given parameters are:

Yellow = 2

Total = 10

The probability of selecting the first yellow marble :

P(Yellow) = 2/10

When the marble is returned, we have:

Yellow = 2

Total = 10

The probability of selecting the second yellow marble :

P(Yellow) = 2/10

The required probability is:

P =  2/10 * 2/10

Evaluate

P = 4/100

Simplify

P = 1/25

Hence, the probability that both marbles are yellow marbles is 1/25

Read more about probability at:

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What is 4xy-3xz+y-2x-5=

Answers

Answer:

xz+y-2x-5

Step-by-step equation

You can only combine like terms

Find the unit rate at which Jonas is paid.​

Answers

Answer:

5 dollars per hour

Step-by-step explanation:

Answer:

5 per hour

Step-by-step explanation:

Divide 10 by 2 to get 5

Which verbal expression best describes the algebraic expression 2x ÷ 4?

Answers

The quotient of 2 times some number and four.

Hope this helps and sorry if it is wrong but it’s what I got

answer and ill mark you BRAINIEST
match each shape to the formula

shapes:

A. trapezoid
B. circle
C. rectangle
D. semi circle
E. triangle


formulas:
1. A= πr²
2. A= 1/2 base x height
3. A= 1/2 (base 1 + base 2 ) x height
4. A= 1/2 πr²
5. A= length x width

Answers

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid -  A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

Answer:

(see below)

Step-by-step explanation:

A) Trapezoid

    3. A = 1/2 (base 1 + base 2 ) x height

~

B) Circle

    1. A = πr²

~

C) Rectangle

    5. A = length x width

~

D) Semicircle

    4. A = 1/2 πr²

This is half of a circle, so it would be 1/2 of the area of a circle, hence the 1/2.

~

E) Triangle

    2. A = 1/2 base x height

If you cut a rectangle in half diagonally, you have two triangles. So it's half the area of a rectangle. This is one way to think about it, hence the 1/2.

PLS HELP PLS HELP SORRY IF THE SUBJECT DOESNT MATCH

Answers

Answer:

it goes up to thirty

it has millimeters displayed in between

Mrs. Brown drove 105 miles in 2.5 hours. What was Mrs. Browns speed in miles per hour?

Answers

Answer:

42mph.

Step-by-step explanation:

We know that the formula for miles per hour is.

r = d/t

R is our rate or miles per hour.

D is our distance.

T is our time.

In this case our distance is 105 miles.

And our times is 2.5 hours.

Therefore if we substitute them into our formula:

105mi ÷ 2.5hrs = 42mph

Hope this helped!

Help I will be marking brainliest!!!!

A. 119.92
B. 80.49
C. 113.68
D. 175.49

Answers

Answer:  D) 175.49

===========================================================

Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

-----------------------------

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

The coorrdinate grids show the cost of different numbers of bookmarks .How many cents do 4 bookmarks cost?

Answers

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.

The equation of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:

[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6[/tex]

Therefore the cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 48 + 6

y = 54 cents

which exponential expression is equal to 2−5·28

Answers

Answer:

Impossible

Step-by-step explanation:

Solve the answer 2-5*28 = -138

This would have no answer since an exponential expression can't equal an negative unless it's a negative answer, but in this case, there is no answer that would get you -138.

what is 32 divided by 13? please help!

Answers

Answer:

Step-by-step explanation:

32/13 = 2 6/13

Amelia orders pancakes, a side of bacon, and orange juice. She also says that she will take care of the tax. How much does she owe?

Answers

Answer:

we need numbers please is this the full question?

please help me it's urgent ​

Answers

Q4:

second choice

Q5:

first choice

Hope I helped :)

Tyrone went to a basketball game and bought a jersey that was on sale at a 30% discount. He also bought a hat that cost $37.89. Tyrone spent a total of $83.39. Write an equation to find the original cost of the jersey

Answers

Answer:

Jersey cost (without discount)= $65

Step-by-step explanation:

First, we need to determine how much he spent on the jersey:

Jersey cost (with discount)= 83.39 - 37.89

Jersey cost (with discount)= $45.5

Now, the original cost of the jersey:

Jersey cost (without discount)= discount cost / (1 - discount)

Jersey cost (without discount)= 45.5 / 0.7

Jersey cost (without discount)= $65

60,000 is borrowed for 10 years. If the interest on the loan is 49,321.74 , find the monthly payment

Answers

Answer:

911.0145

Step-by-step explanation:

60,000 is the initial cost to repay and you add 49,321.74 because of interest

60,000+49,321.74= 109321.74 this is the final cost with interest

you divide by ten because there are ten years and you want it to equal 1 year

109321.74/10= 10932.174 this is the cost per year

last you divide by 12 because thats how many months there are per year

10932.174/12= 911.0145 this is the cost per month

Solve
2x2 + 3x + 1 = 0

Answers

Answer:

it's false

Step-by-step explanation:

Answer:

x= -1 or x= -1/2

Step-by-step explanation:

x = -1, x = -1/2, Solve for x:

2 x^2 + 3 x + 1 = 0

The left hand side factors into a product with two terms:

(x + 1) (2 x + 1) = 0

Split into two equations:

x + 1 = 0 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x + 1 = 0

Subtract 1 from both sides:

x = -1 or 2 x = -1

Divide both sides by 2:

x = -1 or x = -1/2

The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .

Answers

Answer:

1 in

Step-by-step explanation:

Given the expression to calculate the radius r of the base of a cone is given by the equation

r=(3V/piH)

v is the volume = 5in^3

H = 4in

pi = 3.14

Substitute

r = 3(5)/3.14(4)

r = 15/12.56

r = 1.19

r = 1in to the nearest inch

Solve the system of linear equations by graphing

Answers

Answer: (3,-1/2)

Step-by-step explanation:


Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.

Answers

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

4(6-5x)^2+11=20

quadratic equations

Answers

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

If u want me to give you the step to step explanation let me know

Please help! Find the area of this figure:

Answers

Answer:

this is an triangle.

so the area of triangle =1/2×base×hieght

so let fg be base

area of the triangle=1/2×6cm×5cm

area of triangle=15cm²

Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.

Answers

$58.50 is the answer

Find the value of x and the length of bc

Answers

Answer:

x-2=3*9

x=29

BC=29-2=27

Step-by-step explanation:

Th GCF of two numbers is 3 and the LCM is 180. If one of the other number is 45, what is the other numbers?

Answers

Answer:

x = 12

Step-by-step explanation:

Given that,

GCF of HCF of two numbers = 3

LCM of numbers = 180

First number = 45

Let another number be x.

So,

HCF×LCM = first number × second number

[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]

So, the other number is 12.

A high school reports that its​ students' SAT scores were down by 8​% in one year. The next​ year, however, the test scores rose by 18​%. The high school principal​ announces, "Overall, test scores have improved by 10​% over the past two​ years."

Answers

Answer:

B

1.09 is the improvement in scores

Step-by-step explanation:

Here is the remaining part of the question : Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The statement is true because 18 - 10 = 8 and the percentage improvement is given by the difference in the percentages of the increase and decrease. B. The statement is false because the reference values for the decrease and increase are not the same. The true improvement over the past two years is (Simplify your answer. Type an integer or decimal rounded to the nearest hundredth as needed.)

let a = scores

If scores decreased by 8% last year, scores that year was (100 - 8%) = 92% = 0.92

scores last year = 0.92a

If scores increased by 18%. It means the score this year is 0.92a x 1.18 = 1.086a

Improvement in scores 1.09

Subtract and simplify. Show work
(-5y^2 – 9y – 4) - (-2y^2– y + 8)

Answers

Subtract:-8y+2y^2-37 Explanation: you will start off by simplifying each term so you would raise 5 to the power of 2 and get -1x25-9y-4-(-2y2-y+8) and you then multiply -1 by 25 so you would do -25-9y-4-(-2y^2-y+8) and then you would apply distributive property so you would do -25-9y-4+(2y^2)- -y-1x8 and then you simplify and get -25-9y-4+2y^2+y-8 and lastly you would simplify by adding terms so you would subtract 4 from -25 so do −9y-29+2y^2+y-8. And then add -9y and y by doing -8y-29+2y^2-8 and subtract 8 from 29 and get your answer as -8y+2y^2-37

57, 35, 9, 57, 2, 44

Answers

2, 9, 35, 44, 57, 57

who ever answers this will get 20 points and a 5 star rating
Seren draws a chick on graph paper using the scale shown below. The chick has a height of 5\,\text{cm}5cm5, start text, c, m, end text in the drawing.
Which of the following drawings best represents the height of the chick at the scale Seren chose?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
A chick on graph paper. A line labeled "10 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."


(Choice B)
B
A chick on graph paper. A line labeled "2.5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."


(Choice C)
C
A chick on graph paper. A line labeled "5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."

Answers

Answer:

its B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what was purchased?​

Answers

Answer: 300,000

Step-by-step explanation:

Write the linear equation for this table.

Answers

Answer:

its A

Step-by-step explanation:

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