Part A: A triangle has angles measuring 2xo, xo, and 45o. Write an equation that can be solved to find the value of x?



Part B: Using your equation from part A, Find the measure of each angle, in degrees.

Angle 2x*__________; Angle x*__________

Answers

Answer 1

Answer:

X° + 2x° + 45° = 180°

X = 45°, 2x = 90°

Step-by-step explanation:

Since the angles in a triangle sums up to 180

And the angles in this particular triangle is measured as 2x° + x° + 45° = 180

With this equation, we can find the value of x and 2x

2x + x + 45 = 180

3x + 45 = 180

3x = 180 - 45

3x = 135

Now divide both sides by 3

3x/3 = 135/3

X = 45

Therefore, the angles of that triangle are x° = 45, 2x°= 45 × 2 = 90° and the third angle which was given to us as 45°


Related Questions

Which of the following numbers are composite?
1
31
56
91

Answers

Answer: 56!

Step-by-step explanation: all of the numbers except 56 do not have any factors except one and itself. you can also tell in this case, that 56 is automatically composite because the ones digit is 6- an even number, meaning it can be divisible by two.

Answer:

56

Step-by-step explanation:

A composite number is a number that can be divided evenly by more numbers than 1 and itself. The number 56 can be evenly divided by 1, 2, 4, 7, 8, 14, 28 and 56, (with no remainder). Since 56 cannot be divided by just 1 and 56, it is a composite number.

Hopefully this helps!

the sum of two numbers increased by 5

Answers

Answer:

If the sum is x, x+5

Step-by-step explanation:

The sum of the two numbers x+y = a, increased by 5, a+5.

The sum of two numbers increased by 5 to be determined.

What is the sum?

The sum is defined as the addition of two or more values.

Here,
Let the two numbers be x and y.
their sum is x+y = a(let)
Now the sum is increased by 5.
=a+5


Thus, the sum of the two numbers x+y = a, increased by 5, a+5.


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Aliya draws a scale model of her mother's garden. The actual garden's measurements are 35 feet by 50 feet.

On the drawing, the length of the garden is 5 inches. What is the width of the garden on the scale drawing?

3.5 in.
2.0 in.
2.5 in.
3.0 in.

Answers

Answer:

3.5 in. if the 35 feet side is the width

Step-by-step explanation:

please please help me​

Answers

14 and 15 are not functions while 13 and 16 are functions

Answer:

13 and 16 are functions.

If the x does not repeat,it is a function

Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are true about the diagram above

Answers

Answer:

[tex]m\angle ECB+m\angle EFB=180[/tex]

[tex]m\angle CDB\cong m\angle EDF[/tex]

[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

[tex]m\angle ECB+m\angle EFB=180[/tex]

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

[tex]m\angle CDB\cong m\angle EDF[/tex]

Also sum of angles in triangle CBD is 180°.

[tex]m\angle CDB+m\angle DCB+m\angle CBD=180 \degree[/tex]

Help :( look at picture

Answers

Answer: A≈201.06

We know the diamter is 8 and we're using Pi.

A=πr²

=π·8²

8 x 8 = 64

Now we multiply this by using Pi, it says Pi is 3.14. Therefore we multiply that by 64.

64 x 3.14 = 200.96

I hope this helped, have a good day!

Which of the following measureemnts is the most percise?
A. 1 liter
B. 137 millilliters
C. 1,378 liters
D. 137 kiloliters

Answers

Answer:

B: 137 ml. (It`s the smallest unit of measurment out of all the choices)

Step-by-step explanation:

It izz wat it izzzz!!!

    :)

B hope this helps :)

what is the approximate area of the circle show below​

Answers

C bc radius is 8 so 8 times 8 times pi

Answer:

C

Step-by-step explanation:

The area of a circle can be found using

a=πr^2

First, we need to find the radius, because we have the diameter

The radius is half of the diameter

r=d/2

r=16/2

r=8

Substitute 8 in for r in the area formula

a=πr^2

a=π8^2

a=π64

a=201.06192983 cm^2

Approximately 201 cm^2, or choice C

Hope this helps!

Which of the following would be the most effective means of controlling current water pollution of United States surface
waters?

Answers

Answer:

Reducing storm runoff and erosion. This would be the most effective means of controlling current water pollution of US surface waters.

What are the binomial factors of the polynomial x^3-x^2-49x+49
a. (x-1),(x-7),(x+7)
b. (x+1),(x-7),(x+7)
c. (x-1),(x-7)
d. (x+1),(x+7)

Answers

Answer:A

Step-by-step explanation:

Just took the ed test

The graph below shows the hours students spent studying and their science test scores.

Hours Spent Studying vs. Science Test Scores
A graph has hours spent studying on the x-axis and test score on the y-axis. A line has a regression equation of y = 3.1 x + 40.5.

A student gets a score of 70 on the test. Based on the trend line in the scatter plot, how much time did the student spend studying?
3.1 hours
4.5 hours
9.5 hours
40.5 hours

Answers

Answer:

4.5

Step-by-step explanation:

Just took the Test

The required time the student spends on studying is 9.5 hours. Option C is correct.

What is a scatter plot?

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.

here,

Given the regression line,
y = 3.1 x + 40.5.

Put y = 70
70 = 3.1x + 40.5
70 - 40.5 = 3.1x
x = 29.5/3.1
x = 9.51

Thus, the required time the student spends on studying is 9.5 hours. Option C is correct.

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I need help with this ??

Answers

Answer: dang good luck with that

Step-by-step explanation:

sorry

Which of the following is true of the data set represented by the box plot?

box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86

Answers

Answer:

Removing the outliers would not affect the median.

Step-by-step explanation:

What is the surface area of the cone? Express your answer in terms of π.

Answers

Answer:

surface area of a cone = 132.935πft

Step-by-step explanation:

to find the surface area of a cone

given that

radius = 5ft

height of cone = 21ft

recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)

so,

surface area of a cone = πr( r + √ h² + r²)

surface area of a cone = π x 5( 5 + √ 21² + 5²)

surface area of a cone = 5π ( 5 + √ 441 + 25)

surface area of a cone = 5π( 5 + 21.587)

surface area of a cone = 5π (26.587)

surface area of a cone = 132.935πft

Nigel tried to solve an equation step by step.
1/2(2h-4)=20


2h−4=10 step1
2h=14 step2
h=7 step 3
What step did he FAIL on?​





Answers

Answer:

the answer should be h=22 so i would say step 1

Step-by-step explanation:

The mistake was in Step 1.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The equation is

(1/2) (2h-4) = 20

2h-4 = 40

2h = 44

h = 22

The mistake was in step 1, where Nigel should have multiplied 20 by 2 and not divide it by 2.

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In 2004 there were approximately 5820 cinema sites. In 2000 there were 6700 cinema sites. a. Write an equation describing the relationship. Use ordered pairs of the form (years past 2000, number of cinema sites). b.Use the equation to predict the number of cinema sites is 2009.

Answers

Final answer:

The equation describing the relationship between the number of cinema sites and years past 2000 is y = -220x + 6700. To predict the number of cinema sites in 2009, substitute x = 9 into the equation, resulting in a predicted value of 4720.

Explanation:

To write an equation describing the relationship between the number of cinema sites and years past 2000, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the number of cinema sites and x represents the years past 2000.

The slope (m) can be found using the formula (change in y)/(change in x), and the y-intercept (b) can be found by substituting one set of ordered pairs into the equation.

From 2000 to 2004, the change in years past 2000 is 4, and the change in the number of cinema sites is -880. Therefore, the slope (m) is -880/4 = -220.

We can substitute the ordered pair (0, 6700) into the equation to find the y-intercept (b).

So, the equation describing the relationship is y = -220x + 6700, where y is the number of cinema sites and x is the years past 2000.

To predict the number of cinema sites in 2009, we substitute x = 9 (since 2009 is 9 years past 2000) into the equation:

y = -220(9) + 6700

y = -1980 + 6700

y = 4720.

Therefore, the predicted number of cinema sites in 2009 is 4720.

Which point on the number line represents 18?
A) E.
B) F
C) G
D) H

Answers

Answer:

E

Step-by-step explanation:

The square root of 18 is about 4.2, which means that it is slightly larger than 4. The only letter on the number line that fits this description is letter E. Hope this helps!

Point E is the location on the number that represents √18. Then the correct option is A.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The expression in the radical form is given below.

⇒ √18

We know that the value of the radical expression in the decimal number will be 4.24.

Then the location of the point will be after 4 and before 5.

The point E is the location on the number that represents √18. Then the correct option is A.

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36 is what percent of 46

Answers

Answer:

78.26%

Step-by-step explanation:

Using the drawing Below, find all the possible situations it could be describing. Mark all situations that apply to the inequality.

A. Any temperature that is at 0°C or below will allow water to freeze.

B. Marcus saved one dollar every day from his lunch money.

C.Hank had no money for his trip so he had to keep borrowing money to make it home.
D.Carter had 5 toy cars. He gave Jamison 4 of them.

Answers

Answer:

it would be a and c

Step-by-step explanation: Because if you had a zero on a number line you would subtract 5 from the left and that would give you negative 5

PLS HELP ME I NEED HELP DESPERATELY I ALSO NEEDA SHOW WORK PLS I POSTED THIS QUESTION SM TIMES W OUT NO HELP ME HELP ME

Answers

Answer:

x = 3

Step-by-step explanation:

vertical line mean x always constant

Answer:

x=3

Step-by-step explanation:

The equation for a vertical line is x=a, where a is any value

You plug in the point, and get x = 3

Complete the missing value in the solution to the equation -4x-y=24. (__,8)

Answers

We are given y.

-4x - 8 = 24

~Add 8 to both sides

-4x - 8 + 8 = 24 + 8

~Simplify

-4x = 32

~Divide -4 to both sides

-4x/-4 = 32/-4

~Simplify

x = -8

Best of Luck!

Answer:

(56,8)

Step-by-step explanation:

-4x-y=24

-y=4(8)+24

-y=32+24

-y=56

y=56

Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. How much will he pay for 22 pizzas

Answers

237-12=225=cost of 15 pizzas without delivery charge
225/15=15=cost per pizza
15*22=$330=cost of 22 pizzas

Jonathon will pay $342 for 22 pizzas.

Initially, Jonathon paid $237 for 15 pizzas, which included the $12 delivery charge. To find the cost per pizza, we first subtract the delivery charge from the total amount.

Total without delivery charge = $237 - $12 = $225

Now, we divide this amount by the number of pizzas to find the cost per pizza.

Cost per pizza = $225 / 15 = $15

For 22 pizzas, we multiply the number of pizzas by the cost per pizza and then add the delivery charge.

Total cost for 22 pizzas = (22 x $15) + $12 delivery charge

= ($330) + $12

= $342

Therefore, Jonathon will pay $342 for 22 pizzas.

Find the equation of the axis of symmetry of the following parabola algebraically:
y=-5x²+20x

Answers

Answer:

x= 2

Step-by-step explanation:

hello :

y= -5x²+20x      a= -5    b= 20

the axis symmetry  is the line when an equation is : x = -b/2a

x= -(20)/2(-5)

x= 2

The equation of axis of symmetry of the given parabola is x =2

What is a parabola?

A parabola is a plane curve drawn so that any point on it is the same distance from the focus and the directrix.

Given is an equation of parabola, y= -5x²+20x      

a= -5    b= 20

the axis of symmetry  is the line when an equation is : x = -b/2a

x= -(20)/2(-5)

x= 2

Hence, The equation of axis of symmetry of the given parabola is x =2

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Which expression is equal to 10/√50

Please show work thx:)

Answers

so the right answer is of option B....

Answer:

√2

Step-by-step explanation:

According to the question

10/√50

So it can also be written as

10/√25×2

10/√25×√2

10/5√2

Divide both by 5

2/√2

Rationalize

2/√2 ×√2/√2

2√2/2

Divide both by 2

√2

Therefore the answer is√2

Solve the system of equations shown by substitution. y=x-5 5x+2y=4

Answers

Answer:

x=2,y=-3

Step-by-step explanation:

y=x-5....(1)

5x+2y=4...(2)

Let's substitute (1) into (2)

5x+2(x-5)=4

5x+2x-10=4

7x-10=4

Add 10 to both sides

7x=14

Divide both sides by 7

x=2

Substitute the value for x into (1)

y=x-5

y=2-5

y=-3

Therefore x is 2,y is-3

Answer:

x = 2, y = -3

Step-by-step explanation:

y= x - 5

5x + 2y = 4

5x + 2(x - 5) = 4

5x + 2x - 10 = 4

7x = 14

x = 2

y = 2 - 5

y = -3

vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the value of the investment after 20 years

Answers

Answer: A = 2500 (1.035)^n

A= $ 4,974.47

Step-by-step explanation:

A=P(1+r)^n

A= Amount

P= Principal

R= rate

N= # of years

A= 2500(1.035)^n

N=20

2500(1.035)^20

A= 4,974.47

Profit definition in a number

Answers

Answer:

I'm unaware if this is what you're looking for? ‍♀️

Step-by-step explanation:

Your revenue minus your costs for goods or services is your gross profit. It follows a basic Sales – Cost = Profit equation. You're just subtracting a different category of cost. When you have your gross profit figure, use that number to determine your total profit. Sales – Cost = Profit


Approximately how much fabric of each color will be needed to make a single parachute canopy?

88.5 ft
88.5 ft²
265.5 ft
265.5 ft²

Answers

Answer:b)88.5 ft squared

Step-by-step explanation:

Answer:

B) 88.5 ft²

Step-by-step explanation:

Please answer correctly, show all steps you did to solve this problem, and i will mark brainliest to best answer

Answers

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Choose the correct product of (8x − 4)(8x + 4).
64x^2 − 16
64x^2 + 16
64x^2 − 64x + 16
64x^2 + 64x + 16

Answers

Step-by-step explanation:

It is in the form of a² - b²

so it's correct product is

64x² - 16

so the answer is of option A.

Hope this will help u...:)

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