Angle A=3x-10 Angle C=45 Angle D=2x+10
Please solve for x

Answers

Answer 1

Answer:

27°

Step-by-step explanation:

Step 1:

∠A + ∠C + ∠D = 180°     Sum of a Δ

Step 2:

3x - 10 + 45 + 2x + 10 = 180        Input all values

Step 3:

5x + 45° = 180°     Combine Like Terms

Step 4:

5x = 135°        Subtract 45° on both sides

Step 5:

x = 135° ÷ 5       Divide

Answer:

x = 27°

Hope This Helps :)


Related Questions

Which equation in standard form has a graph that passes through the point (-4,-3) and has a slope of 3/8?

Answers

Answer:

y = 3/8x - 1.5

Step-by-step explanation:

DONT ANSWER IF U DONT KNOW
Mason wants to borrow $6,700 from the bank to purchase a car. If he borrows the money at a rate of 5% interest for 4 years, what is the total amount he will have to pay back to the bank?

Your answer should be in whole dollars. Do not add cents. Example: $4 not $4.00

Answers

Answer:

$8040

Step-by-step explanation:

It is assumed as simple interest.

The amount of interest is:

5%*4 = 20% of $6700, which is6700*20/100 = 1340

The amount paid back is the sum of the loan and interest:

6700 + 1340 = 8040

is -3(-2)+3 less, greater or equal to 3(-4)+9?

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

First we have to solve them to make it easier to compare them.

So...

[tex]-3(-2)+3=9\\3(-4)+9=-3[/tex]

Now we now that the first one is 9 and the second one is -3. So obviously the positive number has to be greater than the negative number, so....

[tex]9>-3[/tex]

Answer:

-3(-2)+3 is greater than 3(-4)+9.

Step-by-step explanation:

First, we have to solve.

1) -3(-2)+3  Solve left to right. -3(-2)=6

6+3           Add. 6+3=9

9

2) 3(-4)+9  Solve left to right. 3(-4)=-12

-12+9          Add. -12+9=-3

-3

9 is greater than 3. So, -3(-2)+3 is greater than 3(-4)+9.

Hope this helped!! Have a great day :D

Evaluate c−d if c=1 and2/5 and d=5/6 . Express your answer in simplest form.



please help me i need to finish it today

Answers

Answer:

[tex]\frac{17}{30}[/tex]

Step-by-step explanation:

→ Substitute in the numbers

[tex]1\frac{2}{5} -\frac{5}{6}[/tex]

→ Simplify

[tex]1\frac{2}{5} -\frac{5}{6}=\frac{7}{5} -\frac{5}{6}=\frac{42}{30} -\frac{25}{30} =\frac{17}{30}[/tex]

I DON'T WANT LINKS; Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?
A. 20 + 80 + (-11)
B. 95 + 47 + 5
C. -40 + (-50) + 17
D. 1/4 + 3/4 + 2

Answers

Answer:

B because it’s just pluss what makes it easier

In the parallelogram find the values of x and y

Answers

y= 65 (opposite angles)

x+4=12 (parallel)
x= 12-4=8

Brandon's math certificate is 15 centimeters tall and 28 centimeters wide. Brandon wants to put the certificate in a fancy frame that costs $1.55 per centimeter. How much will it cost to frame Brandon's math certificate?

Answers

so first you have to find the sum of the length and width (15+28) you’ll end up with 43, then then you multiply 43 by 1.55. (43•1.55= 66.65)

so the frame would cost $66.65.

an elementary school has 320 students. all of the students are going on a field trip. if 40 students ca ride a bus, how many buses are needed​

Answers

Answer:

They will need eight buses.

Step-by-step explanation:

320/40 = 8

Draw two examples of different right triangles that can buy on the line of a slope of 2/5

Answers

Answer:i need more

Step-by-step explanation:

Select the correct answer.
jenny is drafting a paper on her computer. she leaves a right margin that is one-fifth the width of the page for later editing marks. on the
computer, each inch is equivalent to the length of 120 pixels. what is the area of the drafting section on the screen?

Answers

The area of the drafting section on the screen after Jenny left a right margin for editing marks is 1,077,120 pixels.

What is the area of the drafting section?

The first step is to determine the dimensions of the drafting section:

Length = 11 inches

Width = (1 - 1/5) x 8.5 = 6.8 inches

The second step is to convert the dimensions to pixels:

Length = 11 inches x 120 = 1320

Width = 6,8 inches x 120 = 816

Area = 1320 x 816 = 1,077,120 pixels

Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Answer:

1,077,120 pixels

Step-by-step explanation:

I got a 100% on the test

please help me on this-​

Answers

the zeros of a function are also known as the x-intercepts.
your zeros would be whatever crosses the x-axis.
so..
#18 only has one zero at -2
#19 has three zeros at -4,0, and 5

Suppose a math class starts at the beginning of the school year with 12 boys and 8 girls. However, after school resumed in January, 6 new boys and 4 new girls came to the class. Is the ratio of boys to the total number of students in the class still the same?

Answers

Answer:

yes the ratio is the same

Step-by-step explanation:

12/8 = 3/2 (divided the top and bottom by 4)

6/4 = 3/2 (divided the top and bottom by 2)

yes the ratio is the same

Answer:

To compare, first find out what the ratio of boys to students is at the beginning of the school year: 12/8 or, in the simplest form, 3/2.Once school resumes in January, that ratio becomes 18/12 - (12 + 6)/(8 + 4) - or 3/2 in simplest form.Therefore, the ratio is still the same.

Step-by-step explanation:

What is the Product of 2.18 and 3.4??
Show your work
and no links

Answers

2.18 x 3.4 =7.412
Solution is the pic

HELLLLPPPPPPPPPPPPPP

Tanya performed an experiment in which she randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. The following table represents the number of times each color of marble was pulled.

Color of Marble Frequency
Green 25
Blue 35
Purple 40

If Tanya repeats the experiment 50 more times, how many of those times should she expect to pull a purple marble?

Enter your answer as a number, like this: 42

Answers

Answer:20

Step-by-step explanation: Add all the marbles up = 100 divided by 2 = 50 so then divide the purple marble by 2 =20.

Tanya should expect to pull a purple marble for 8 times.

What is experimental probability?

The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted.

Given that, Tanya performed an experiment in which she randomly pulled a marble from a bag,

Out of the experiment that Tanya performed, we can get an experimental probability.

This experimental probability is given by the quotient between the frequency for each color, and the total number of trials.

The total number of trials is:

N = 25 + 35 + 40 = 100

And on 40 of these, she got a purple marble, then the experimental probability of getting a purple marble is:

p = 40/100 = 0.4

Now, if she draws 50 marbles more, she should expect to get:

0.4×50 = 8

Hence, Tanya should expect to pull a purple marble for 8 times.

Learn more about experimental probability click;

https://brainly.com/question/30694293

#SPJ2

An ice machine uses 3 gallons of water every 9 hours

Answers

Answer: 8 gallons of water are being used per day.

Step-by-step explanation: If the question is how many gallons of water are used a day, then you can find this out using the following steps:

3 divided by 9 = 1/3.

1/3 times 24 = 8

8 gallons of water are being used per day.

round off 6406 to the nearest thousand​

Answers

Answer:

6000

hope this helps =3

Quadrilateral A'B'C'D'is a reflection of quadrilateral ABCD over the x-axis.
What is the length of AD?
4
6
3
B
A
A
В"

Answers

The length of A’D’ is 6. When it is reflected the lengths don’t change.

Have an amazing day!

Point W(-4, 7) was translated as follows: W(-4, 7) – W'(-2, 4). A student wrote the algebraic rule to describe the
translation as (x,y) → (x-3.y+2). Evaluate the student's answer.
A. Incorrect; the student should add 2 to the x-coordinate and subtract 3 from the y-coordinate.
B. Incorrect; the student should add-4 +-2 to calculate the x-coordinate and add 7 + 4 to calculate
the y-coordinate.
C. Incorrect; the student should add 3 to the x-coordinate and subtract 2 from the y-coordinate.
D. The student's answer is correct.

Answers

Answer:

A

Step-by-step explanation:

W (- 4, 7 ) → W' (- 2, 4 )

- 4 → - 2 in the x- directions is a shift of + 2

7 → 4 in the y- direction is a shift of - 3

then translation rule should be

(x, y ) → (x + 2, y - 3 )

Check my answers!!!!

Answers

Answer:you got all of them right good job

Step-by-step explanation:

Answer:

You did a good job

Step-by-step explanation:

keep it up

The perimeter of a rectangle is 11cm and the length is 3cm more than half the width. Find the dimensions of the rectangle

Answers

Answer:

Above is the solution to the question


The area A of a square is given. Find its side length.
Which side lengths are whole numbers?
a) A = 36 cm² b) A = 49 m2 c) A = 95 cm? d) A = 108 m2

Answers

Answer:

a &b

Step-by-step explanation:

the answer is a for this:)

a company that makes automatic coffee machines must make a model that dispenses 354 mL + .006 mL of coffee per cup. Do all of the cups in the table fall within the specified tolerance?

Answers

Answer:

You didnt show the table, not sure how to answer

Step-by-step explanation:

Solve: sin (x + StartFraction pi Over 2 EndFraction) = one-half for left-bracket StartFraction 3 pi Over 2 EndFraction, 2 pi right-bracket

Answers

The solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.

We can solve this equation using the following steps:

Subtract pi/2 from both sides to get sin(x) = 1/2.

Recall that the sine function is positive in the first and second quadrants.

Therefore, we need to find the angles in these quadrants where sin(x) = 1/2.

The two angles in the first quadrant where sin(x) = 1/2 are pi/6 and 5pi/6. The two angles in the second quadrant where sin(x) = 1/2 are 7pi/6 and 11pi/6.

Adding pi/2 to each of these angles gives the solutions to the original equation. These solutions are:

x = pi/6 + pi/2 = 2pi/3

x = 5pi/6 + pi/2 = 7pi/6

x = 7pi/6 + pi/2 = 5pi/3

x = 11pi/6 + pi/2 = 4pi/3

We now need to check which of these solutions lie in the interval [3pi/2, 2pi]. We find that the solutions in this interval are:

x = 5pi/3

x = 4pi/3

Therefore, the solutions to the equation sin(x + pi/2) = 1/2 in the interval [3pi/2, 2pi] are x = 5pi/3 and x = 4pi/3.

To learn more about trigonometry from the given link:

https://brainly.com/question/29002217

#SPJ1

please help this is the last question

Answers

Answer:

The median is the same for both car types, but Bandit have lower mean.

Step-by-step explanation:

billy has a bag of 4 red marbles, 3 blue marbles, and 3 white marbles. Billy picks and keeps a marble and then picks a second marble. What is the probability Billy will draw a white marble and then a red marble?

Answers

Answer:

1/10+1/10=2/10

Step-by-step explanation:

we first need to add all marbles and make a fraction of white and red marble

Factor this expression

Answers

Answer:

6(6x^2-4x-3)

Step-by-step explanation:

pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3

Answer:

[tex]6 (6x^{2} - 4x - 3)[/tex]

Step-by-step explanation:

[tex]36x^{2} - 24x - 18[/tex]

[tex]= 6 (6x^{2}) - 6 (4x) - 6(3)[/tex]

[tex]= 6 (6x^{2} - 4x - 3)[/tex]

how do u simplify 24+2x=3x+2(3•4)

Answers

Answer:

distribute the 2 to the 3 and 4 so you get 6+8  which is 14

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Answer:

10=x

Step-by-step explanation:

24+2x=3x+14

-14

10+2x=3x

-2x

10=x

Solve for c in the literal equation 9p + 7c = p. Represent any fractions in reduced proper or improper form only.

Answers

Answer:

-8/7p=c

Step-by-step explanation:

add 9p to both sides of the equation

then divide both sides by 7

tah dah

On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time. Time (x) Height (y) 0 10 2 24 16 10 How high was the ball after 8 seconds? 20 feet 42 feet 96 feet 106 feet.

Answers

After 8 seconds the ball height was 42 units.

It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.

It is required to find how high was the ball after 8 seconds.

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

The orbit of the ball will be a parabola.

We know the standard form of a quadratic function:

[tex]\rm y=ax^2+bx+c[/tex]      where [tex]\rm \\a\neq 0[/tex]

At x = 0 and y = 10, we get:

[tex]\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10[/tex]

At x = 2 and y=24, we get:

[tex]\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14[/tex]....(1)

At x = 16 and y = 10, we get:

[tex]\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\[/tex]....(2)

By solving equations (1) and (2), we get;

a = - 1/2, b = 8 and c = 10

Putting these values in the standard form of a quadratic function, we get:

[tex]\rm y = - \frac{1}{2} x^2+8x+10\\[/tex]

Now, after 8 seconds means when x = 8, we get:

[tex]\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42[/tex]

Thus, after 8 seconds the ball height was 42 units.

Know more about the parabola here:

https://brainly.com/question/8708520

Answer:

b

Step-by-step explanation:

PLEASE HELP
The two angles formed as a result of a bisector will always be____?
A. complementary
B. supplementary
C. Right
D. congruent

Answers

Answer:

D. Congruent

Step-by-step explanation:

Congruent.
Hope this helps!!
Other Questions
4c=3 solve for c please 50 POINTS WILL GIVE BRAINLYEST!!!!!!!!!If you are holding a really hot cup of hot chocolate, the heat from the mug will transfer to your hand.Question 6 options: True False 16.1 I need the codes for the Odd questions only please help me with both of these A train has a mass of 1.50 x 107 kg. If the engine canexert a net force of 7.50 x 105 N on the train, how muchtime is required for the train to reach a speed of 80.0km/h, if the train begins from rest? 10. A strong wind struck as Arnold and his father took turns in pulling the fishingboat to the shore. Arnold cannot hear his father's voice. Which affects theflow of the communication process?A. Arnold's voiceB. boatC. fatherD. wind Twice a number, decreased by 58 is less than 112 three green socks, four red socks, and five blue socks are in a drawer, and 2 socks are withdrawn at random. Find the probability of one blue sock and one red sock which of the following would make a person well suited for entrepreneurship?a. prefers to follow others on projectsb. likes making decisionsc. doesn't like peopled. likes to work regular hoursAPEX Write 23.4571 correct to4 significant figures both of the screenshots go together as one. need done by 3:00 today. i will give brainliest. 1. What is contained in the nucleus of an atom?A. Protons onlyB. Electrons onlyC. Electrons and ProtonsD. Protons and Neutrons examples of cammand in direct speech and indirect speech Kofi sliced a watermelon into 9 equal parts .If each part had 87 seeds,how many seeds did each watermelon have? ABCD is a parallelogram. Find z. A social security number contains nine digits such as 000000000 How many different social security numbers can be formed using any numerals from 0 to 9? the US presidential election is determined by the people and which of the following? A.) the senate B.) the supreme court C.) the electoral college D.) the use of open ballots Which equation represents a line that passes through (-2,4) and has a slope of 2/5? suppose y varies directly with x, and y=24 when x= 8. What is the value of y ehen x= 10 Select all of the names that apply to -24