The angle measurements in the diagram are represented by the following expressions.
A= 5x - 15°
B = 2x + 21°
Solve for x and then find the measure of

The Angle Measurements In The Diagram Are Represented By The Following Expressions.A= 5x - 15B = 2x +

Answers

Answer 1

Answer:

45°

Step-by-step explanation:

A and B are Alternate exterior angles and congruent, thus

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Thus

∠ A = 5x - 15 = 5(12) - 15 = 60 - 15 = 45°

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°


Related Questions

Graph the line
y-3x= 3​

Answers

(-1, 0) (0, 3)
these are the coordinates for the graph

6x+2y=12 how do I show my work

Answers

divide both sides
3x+y-6=0
move variable
6x=12-2y
divide
x=2-1/3y
solve
Final answer:
x=2
x=1 y=3

Explanation: I knew that 6+6 would equal 12, so I decided to make the 2 in the equation into a 6 by plugging in 3 to y. Then, I plugged in one to make it stay a 6. To check my work, 6(1)+2(3)=12

ms.garcia’s seventh grade class is collecting aluminum cans yo buy new board games. They receive $0.35 for each pound of cans they collect.What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a broad game that cost $27.20

Answers

Answer:

The minimum number of pounds they need to collect is 78

Step-by-step explanation:

27/0.35 = 77.7

but in this specific problem  you can't have less than part of a pound, so the final answer would be 78 pounds

Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long would it take to travel 190 miles?

Answers

first, see how many miles she rode per hour.
304 miles/8 hours = 38 miles per hour
second, divide how many miles she needs to travel by how much she rides mph.
190 miles/38 mph = 5 hours.
it would take her five hours.

The time to travel 190 miles will be 5 hour.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Charlotte drove 304 miles in 8 hours.

And, She continued at the same rate.

Now,

Since, Charlotte drove 304 miles in 8 hours.

Hence, The speed is,

Speed = Distance / time

          = 304 / 8

          = 38 miles / h

So, For travel 190 miles at same rate;

Time = Distance / Speed

       = 190 / 38

       = 5 hour

Thus, The time to travel 190 miles will be 5 hour.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Please include an explanation, i am confused. Thank you

Answers

Explanation:

Let's say,

(x1,y)  (x2,y2)

are two points in a

xy

plane. We can find the shortest distance between two point by applying the distance formula stated as:

Distance

=√(x2−x1) 2+(y2−y1) 2

So by putting our given points

(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)

in the distance formula, we have:

¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2

Simplify to get:

5√2

Given the points (10, 0) and (0, 9), find - the slope of the line between these two point, and - the distance between the two points.

Answers

Answer: m=-9/10; d=13.45

Step-by-step explanation:

To find the slope, you would use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We plug in the given points and solve.

[tex]m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}[/tex]

Now, we know that slope is -9/10.

To find the distance between the points, we use the distance formula.

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

[tex]d=\sqrt{(0-10)^2+(9-0)^2}[/tex]             [parenthesis]

[tex]d=\sqrt{(-10)^2+(9)^2}[/tex]                       [exponent]

[tex]d=\sqrt{100+81}[/tex]                               [add]

[tex]d=\sqrt{181}[/tex]

[tex]d=13.45[/tex]

Now, we know the distance is approximately 13.45.

Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))

Answers

Answer:

[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]

Step-by-step explanation:

Given

[tex]-3(-2 - 3/10)[/tex]

Required

Simplify

[tex]-3(-2 - 3/10)[/tex]

Apply Distributive Property;

This simply means that; we expand the bracket;

So, we have;

[tex]= (-3)(-2) + (-3)(3/10)[/tex]

From the list of given options, option A answers the question

Answer:

A

Step-by-step explanation:

I took the quiz

CAN SOMEONE PLEASE HELP. SEGMENTS GEOMETRY

Answers

Answer: 30

We will 5x+3x=48 simplified it’s 8x=48 divide 8 from both sides and get x=6 plug it in
RS= 5(6)= 30

If he watches all the movies that are 1 3/4 hours long how long will it take

Answers

It will take 10 and 30 mins

Which number has a 3 that is 10 times greater than the 3 in 513?

Answers

Answer:

30

Step-by-step explanation:

The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.

3 x 10 = 30.

"times greater" means multiplication if you were confused about it.

Hope this helps! Have a nice day!

Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.

Given that:

[tex]Number = 513[/tex]

We make the following observations in 513

513 does not have decimalsThe 3 in 513 is the rightmost digit.

The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:

[tex]Value = 3 \times unit[/tex]

Unit means 1. So:

[tex]Value = 3 \times 1[/tex]

[tex]Value = 3[/tex]

So, the value of 3 in 513 is 3.

Let the other number be x.

x is 10 times greater than 3 means that:

[tex]x = 10 \times 3[/tex]

[tex]x = 30[/tex]

Hence, the number is 30

Read more about place values at:

https://brainly.com/question/16105260

The expression (x16)(x−5)2 is equivalent to xn. What is the value of n? -160 42 13 6

Answers

Answer:

160

Step-by-step explanation:

Just add lol fjfjfjfjjd

mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?

Answers

Answer:

Sauce requires milk, cheese, red potatoes

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Jeremy, Alicia and Edgar are playing a game where the object is to get
closest to zero points. If Jeremy has -250 points, Alicia hos -150 points and Edgar
has 300 points, who is the winner

Answers

Answer:

Alicia!

Step-by-step explanation:

-150 is closer to the number 0 than -250 or 300. :D

simplify ^3√p^4 q^6 r^5

Answers

Answer:

3p^2q^3r^2√r

Step-by-step explanation:

2. A line or line segment perpendicular to a line segment at the midpoint of the segment is a...

Answers

Answer:

A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.

Step-by-step explanation:

perpendicular bisector

If m = 2 and b =-6, what is the correct slope intercept equation?

Answers

Answer:

y=3x+6

Step-by-step explanation:

Answer

Y=3x+6

Explanation:

Evaluate the function f(x) = 3 - 6x, when x=0.

a -3
b 0
c 3
d -57

Answers

Answer:

C

Step-by-step explanation:

f(0)= 3 - 6 (0)

f(0)= 3 - 0

f(0)= 3

Which pair of undefined terms is used to define the term parallel lines?

Answers

Answer:

The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines

Step-by-step explanation:

What is the slope of a line passing through points (-7,5) and (5,-3)?

Answers

Answer:

- 2/3

Step-by-step explanation:

Which fraction has a decimal equivalent that is a repeating decimal?

a
141/47
b
19/3
c
13/65
d
11/19

Answers

Answer:

b.......19/3...I. guess

Rajeev has three times the number of oranges as
Sanjeev. Together, they have 28 oranges.
How many oranges does Sanjeev have?

Answers

Answer:

7

Step-by-step explanation:

let sanjeevs no of oranges be x

rajeevs no of oranges=3x

total=4x=28

x=28/4

=7

sanjeevs oranges=7

while rajeevs oranges=3*7

=21

Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle. Which information do you know is true from the diagram? Check all that apply. ∠ABD is a right angle. Ray B C bisects angle ∠ABD. m∠ABC = 45° m∠CBD = 45° m∠ABD = 90°

Answers

Answer:

A) ∠ABD is a right angle.

E) m∠ABD = 90°

Step-by-step explanation:

just took the test

∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that,

Angle A B D is a right angle.

The right angle is a 90-degree angle.

So,

m∠ABD = 90°

Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".

For more about the angle,

brainly.com/question/13954458

#SPJ2

WILL MARK FIRST ANSWER AS BRAINLIEST

Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?

1.25+2x=.50+5x

Find the cost of a donut in #17

Answers

Answer:

$0.25 per donut.

Step-by-step explanation:

So, we know that Jamie spends the same amount of money each morning.

On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.

On Monday, he spent $0.50 on a newspaper and bought 5 donuts.

Since he spend the same amount of money each morning, we can say that:

[tex]1.25+2x=0.5+5x[/tex]

Where x represents the cost per donut.

So, to find the cost of a donut, we need to solve for x.

So, let's try to isolate the x. Subtract 2x from both sides:

[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]

The left side cancels. Subtract on the right:

[tex]1.25=0.5+3x[/tex]

Now, let's subtract 0.5 from both sides:

[tex]0.75=3x[/tex]

To find x, divide both sides by 3:

[tex]x=0.75/3[/tex]

Divide:

[tex]x=0.25[/tex]

Therefore, each donut cost $0.25.

And we're done!

help please thanks.

Answers

Answer:

it would be -18 then 17 cause u distribute the negative sign

‼️please help‼️ Find the coordinates of R if N(8,-3) is the midpoint of RS and S has coordinates (-1,5)

Answers

Answer:

(17, -11)

Step-by-step explanation:

Please see the attached picture for full solution.

Help me pleaseeeeeeeeeeee

Answers

Answer:

1. NO

2.yes

3.yes

4.no

5.no

Step-by-step explanation:

I think these are the answers. Hope this helps

F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF​

Answers

Answer:

x = 8CF = 60

Step-by-step explanation:

  CF + FB = CB

  (7x+4) +(10x-69) = (12x-25)

  5x = 40 . . . . . . . . add 65-12x

  x = 8 . . . . . . . . . . divide by 5

  CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF

  CF = 60

variable definition?

Answers

the number beside the letter . for example 6x, 6 would be the variable

Is 3x + 3x​ 2​= 6x​ 3​ ? Explain.

Answers

Answer:

No

Step-by-step explanation:

It is not, because we can only add the terms that contain x of the same order.

For x to be grouped with x 2 resulting in x 3 the terms would have to be multiplying

In this case they are grouped

x * x 2 = x 3

In this case they are not grouped

x + x 2 = x + x 2

Find the value of x that will make L || M

Answers

Answer:

The value of x = 7 to make lines L and M parallel.

Other Questions
If the area of a rectangle is 64 then the length is 8 and the width is 8 counter examples If a 65-kilogram astronaut exerts a force with a magnitude of50. N on a satellite that she is repairing, the magnitude of theforce that the satellite exerts on her is Identify who first ruled the Franks. is osmosis passive or active transport im stuck on this question please help me Camila__________acepta. The first step of the scientific process is A. Making an observation B. Testing a hypothesis C. Communicating your findings in a journal Which number on the map represents the country of Iran? Number 5 please help need answers thanks!!!!Have a great day! Helllllllp ASAP!!!!!!!!!!!!!!! A number (n) minus 6 is greater than or equal to 11. Solve for x:X- 6 = -3x + 22 If a given area of a square is 24cm2, estimate the length of one side of the square? What is the base of the triangle? A=36mm(2) H= 6mm B=? if a number is positive, then its square is positive What was one effect of the Great Compromise:A. The legislative branch is made up of both the Senate and the House of Representatives.B. The legislative branch has only one house, and its representatives are determined by state population.C. The legislative branch chooses the president through the Electoral College system.D. The legislative branch has the power to challenge decisions made by the president. what is we are american in spanish dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does 's dive take ? Problem ID: PRABG4QGHow many inches of snow will fall in 24 hours if it continues to snow at this rate?Do not include units (inches) in your answer.Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):Submit Answerto search What was the most significant result of the Spanish colonization of Central and South America? Spain became rich by stealing the wealth of the American colonies. Spain brought advanced cultural values to the American colonies. Spain brought religion and high moral values to the American colonies. Spain was transformed by the cultural richness of the New World.