Determine the measure of each indicated angle.

Determine The Measure Of Each Indicated Angle.

Answers

Answer 1

The value of x is +2 and -2 and the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

Given that:-

∠ABC = 13x² ∠ACB = 12x² and ∠CAB = 20x²

The angles will be calculated as follows:-

13x² + 12x² + 20x² = 180

45x²  =  180

x²  =  4

x   =  ±2

The angles will be:-

∠ABC = 13x²  = 13 x ( 2² ) = 52

∠ACB = 12x²  = 12 ( 2² )    = 48

∠CAB = 20x²  = 20 ( 2² )  = 80

Therefore value of x is +2 and -2 the angles will be given as ∠ABC = 52 ∠ACB = 48 and ∠CAB = 80.

To know more about Trigonometry follow

https://brainly. com/question/24349828

#SPJ1


Related Questions

A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?

Answers

Answer:8.8 pounds a day

Step-by-step explanation:

7 days in a week

28/7=4 kg a day

2.2*4=8.8

8.8 pounds

Im just very confused. This is probably easy but im lazy

Answers

Answer:

yes

Step-by-step explanation:

and yes

Answer:

The answer is 1.

Step-by-step explanation:

If you look closely at the other answers, they are not alike as 1.

(HOPE THIS HELPED!)

Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

Answers

The steps of student B are in the correct order but the steps of student A are in the incorrect order.

What is a perpendicular and parallel line?

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines and the lines that never intersect are known as parallel lines.

We have:

You are given AB and point C. Construct a line parallel to AB that passes through point C

The correct way to draw a parallel line to AB that passes through point C is:

1. Draw a line that intersects points B and C.2. Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.3. Keep the compass at the same width, and place it on point C.4. Swing an arc that crosses line BC, and label the point F.5. Open the compass to the width between points D and E.6. Keeping the compass at the same width, place it on point F.7. Swing an arc that intersects the arc created from line BC at point C.8. Mark the intersection of the two arcs as point G.9. Draw a line through point C and point G.

The steps of student B are in the correct order but the steps of student A are in the incorrect order.

Thus, the steps of student B are in the correct order but the steps of student A are in the incorrect order.

Learn more about the perpendicular and parallel lines here:

brainly.com/question/18271653

#SPJ1

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours

Answers

Step-by-step explanation:

im sorry but im not sure about this question

Answer:

334.488 miles

Step-by-step explanation:

You don't have a specific request on what I should answer, if it was distance then here's your answer

Jill has c comic books. Tonya has 4 more than twice Jill's comic books. What variable expressions represents the total number of comic books Jill & Tony have all together?

Answers

Answer:

3c + 4

Step-by-step explanation:

Forming an expression

Number of books with Jill = c

To find the number of books with Tonya, multiply 'c' by 2 and then add 4 to it.

Number of books with Tonya = 2*c + 4

                                                 = 2c + 4

Total books all together = c + 2c + 4   {Combine like terms}

                                        = 3c + 4

Given the figure below solve for X

Answers

Answer:

x = 37

Step-by-step explanation:

In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are:

Answers

The degrees of freedom in testing for differences between the means of two dependent populations where the variance of the differences is unknown are: df = n - 1

What is the degree of freedom for dependent variables?

In statistics, degrees of freedom refers to the number of distinct values that can change in an evaluation without exceeding any constraints.

The degree of freedom is crucial and necessary when attempting to comprehend the significance of a test statistic and the validity of the null hypothesis.

In testing for differences between the means of two dependent populations where the variance of the differences is unknown, the degrees of freedom are: df = n - 1

Learn more about calculating degrees of freedom for dependent variables here:

https://brainly.com/question/14311814

#SPJ12

Use graphing to determine the solution to the system of linear equations x=-1 y=3x+1

Answers

At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

The system of linear equations x=-1 and y=3x+1.

The equation will be solved as:-

Y = 3x + 1

Y = 3 ( -1 ) + 1

Y = -3 + 1

Y = -2

I have also plotted the graph of the two equations in the graph the two equations intersect at the point x = 1 and y = -2 so the solution of the equations will be ( -1, -2 ).

Therefore At x = -1 the value of y will be equal to -2 for the equation y = 3x + 1.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

Which of the following values can be found by using the formula √1+tan^2 0?

Answers

√1+tan²Ø√1+sin²Ø/cos²Ø√cos²Ø+sin²Ø/cos²Ø√1/cos²Ø1/cosØsecØ

cos and sec can be found

The requried simplified expression is 1 / cosØ, which is equivalent to secØ. The correct option is secØ.

Let's simplify the given expression and see which of the provided options match:

We are given the expression √(1 + tan²Ø).

Now, recall the trigonometric identity: tan²Ø = sin²Ø / cos²Ø.

Substitute this identity into the expression:

√(1 + sin²Ø / cos²Ø)

Next, find a common denominator for the fraction inside the square root:

√((cos²Ø + sin²Ø) / cos²Ø)

Since cos²Ø + sin²Ø = 1 (as per the Pythagorean trigonometric identity), the expression becomes:

√(1 / cos²Ø)

Now, we can take the square root of 1 and cos²Ø separately:

√1 / √cos²Ø

Simplify:

1 / cosØ

The simplified expression is 1 / cosØ, which is equivalent to secØ.

Therefore, the correct option is: secØ.

Learn more about trigonometry here:

https://brainly.com/question/20885025

#SPJ4

helppppp pleaseee tap or click picture if needed​

Answers

Answer:

A

Step-by-step explanation:

He saves allowance for 5 months     5 months * $6 = 30 dollars

  30 ÷ 3      would be the # of rides he can go on

NEED HELP ASAP! ITS IN THE IMAGE BELOW.
i’ve done the graph which is part a and b but i need help in part c and d, help will be appreciated!

Answers

Answer:

(a)  see below

(b)  see attached

(c)  (15, 180) is not on the line

(d)  a = -40

Step-by-step explanation:

Given equation:

[tex]y = 10x+20[/tex]

Part (a)

To complete the table of values, simply substitute each value of x into the given equation:

[tex]x=-3 \implies y=10(-3)+20=-10[/tex]

[tex]x=-1 \implies y=10(-1)+20=10[/tex]

[tex]x=0 \implies y=10(0)+20=20[/tex]

[tex]x=1 \implies y=10(1)+20=30[/tex]

[tex]x=3 \implies y=10(3)+20=50[/tex]

[tex]\large \begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} x & -3 & -2 & -1 & 0 & 1 & 2 & 3\\\cline{1-8} y & -10 & 0 & 10 & 20 & 30 & 40 & 50\\ \cline{1-8} \end{array}[/tex]

Part (b)

Plot 2 points from the table and draw a straight line through them.

Part (c)

To determine if (15, 180) is on the line, substitute x = 15 into the given equation of the line:

[tex]\begin{aligned} x=15 \implies y & =10(15)+20\\& = 150 + 20\\& = 170\end{aligned}[/tex]

Therefore (15, 180) is not on the line

Part (d)

If (-6, a) is on the line, substitute x = -6 and y = a into the equation and solve for a:

[tex]\begin{aligned} y & = 10x+20\\\implies a & = 10(-6)+20\\a & = -60 + 20\\a & = -40\end{aligned}[/tex]

Therefore, a = -40

Suppose ∠A and ∠B are complements, while ∠B and ∠C are supplements. If m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1), then m∠A=44, m∠B=46, and m∠C=134. TRUE OR FALSE? Please show your work.

Answers

Answer:

TRUE

Step-by-step explanation:

Angle <A and angle <B are complementary, which means their sum must be = 90

Angle <B and angle <C are supplementary which means their sum must be = 180

Now let's see

m∠A=3x+17, m∠B=55−x, and m∠C=67(x/3−1)

first find the sum of A and B

3x + 17 + 55 - x = 90 add like terms

2x + 72 = 90 subtract 72 from both sides

2x = 18 divide both sides by 2

x = 9

TRUE OR FALSE is asked for

m∠A=44, m∠B=46, and m∠C=134

to find that we just replace c with 9 with every expression given for angles

m<A = 3x + 17

m<A = 3*9 + 17 = 44

m<B =  55 - x

m<B = 55 - 9 = 46

m<C = 134, we don't really need to calculate one by one since the angle are complementary and supplementary.

The answer is TRUE

The statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

We have:

∠A and ∠B are complements, while ∠B and ∠C are supplements.

∠A + ∠B = 90 degree

3x + 17 + 55 - x = 90

2x = 18

x = 9

Angle ∠B and angle ∠C are supplementary:

∠B + ∠C = 180

55 -x + 67(x/3  - 1) = 180

x = 9

Put the value of x and find angles A, B, and C.

m∠A = 44

m∠B = 46

m∠C = 134

∠A + ∠B = 90

∠B + ∠C = 180

The above statement is true.

Thus, the statement is true if A and ∠B are complements, while ∠B and ∠C are supplements.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ

PLS HELP ME

Mike invested $29,000 at 7.24% compounded daily.
What will Mike's account balance be in 21 years?

Answers

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. Mike's account balance after 21 years is $69,131.44.

What is compound interest?

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

[tex]A = P(1+ \dfrac{r}{n})^{nt}[/tex]

where A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times interest is charged in a year

t is the number of years

The principal amount that Mike invested is $29,000. The rate of interest is 7.24% compounded daily, for 21 years. Therefore, the account balance after 21 years is

[tex]\text{Account Balance after 21 years} = 29,000(1+\dfrac{0.0724}{365})^{(365 \times 21)}[/tex]

                                                     = $69,131.44

Hence, Mike's account balance after 21 years is $69,131.44.

Learn more about Compound Interest:

https://brainly.com/question/25857212

#SPJ1

Look at the photo and answer the question. Please put the answer at the top of the text and don’t make it hard to find. Best answer gets brainliest.

Answers

Answer: B. When the nail became magnetized the iron atoms in the nail were temporarily aligned and caused a physical change in the nail.

Step-by-step explanation:

Electrons behave like little magnets and when they flow through a wire, they create a magnetic field, which turns the nail into a magnet

How can properties of logarithms be used to change bases into equivalent bases? (to any other flvs students, this is an essential question for 05.02 of alg 2)

Answers

Answer:

We can use change of base rule

Describe the varying vegetation regions in Canada

Answers

Answer:

es fácil solo tienes que Aser 23+578 y hay te da el resultado

allowing 16% discount on the MP of a television and leying 13% Vat buyer has pay RS 18984 to buy it . Find MP of that television​

Answers

The marked price of the television is Rs. 20,000.

What is Marked Price?

The market price is the current price at which a good or service can be purchased or sold.

Here, let the marked price of the television be Rs. x

          Discount = 16% on MP

          VAT = 13% additional on MP

          Total paid amount = Rs. 18984

Now, according to question;

     MP X (1 - Discount) X (1 + VAT) = 18984

              x (1 - 0.16)(1+0.13) = 18984

              x = 18984/(0.84 X 1.13)

              x = 18984 / 0.9492

              x = 20,000

Thus, the marked price of the television is Rs. 20,000.

Learn more about Marked Price from:

https://brainly.com/question/2732725

#SPJ1

What is the solution for x in the equation?
5
3x + 4 =
2
OA. * = -4
OB. * = 4
12
O C.
OD.
X
x =
-1/7/20

Answers

Equations are separated by an equal sign. The value of x is given as -6/5

Equations and values

Given the equations below;

5(3x + 4) = 2

Expand

5(3x) + 5(4) = 2

15x +20 = 2

Subtract 2 from both sides

15x = 2 - 20

15x = -18

x = -18/15

x = -6/5

Hence the value of x is given as -6/5

Learn more on equation here: https://brainly.com/question/13763238

#SPJ1

Kaye bought 7 mangoes for $49, 4 apples for $24, and 3 oranges for $15. Which fruit is very cheap in price?

Answers

Answer:

oranges

Step-by-step explanation:

Answer: The oranges.

Step-by-step explanation: I'll set up my work below.

Mangoes: $[tex]49/7=7[/tex] =$7 per mango

Apples: $[tex]24/4=6[/tex]=$6 per apple

Oranges: $[tex]15/3=5[/tex]=$5 per orange

Given this, the cheapest fruit is the orange.

I hope this helps!! Pls mark brainliest :)

Table I contains outputs of the function f(x)=b^xf(x)=b
x

I need help

Answers

Answer: Table 1: Answer = 1. 404

Table 3 Answer = 1.66

Step-by-step explanation: i hope it's right if not, tell me

The table shows the age of some participants in a quiz competition and the number of questions they could answer correctly:
Age (years) (x)
15 21
17 22 16 19 18
Number of questions they could answer (y) 17 17 17 17 17 17 17
What is the correlation coefficient for the data, and what does it represent?
O0; it represents no correlation between x and y
O1; it represents a linear positive correlation between x and y
O-1; it represents a linear negative correlation between x and y
O1; it represents a linear negative correlation between x and y

Answers

Option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

 

We have:

Age (years) (x)                                                     15  21   17  22  16  19  18

Number of questions  they could answer(y)    17  17   17  17    17  17  17

As we can see all y values are the same.

n∑y² = 7(2023) = 14161

(∑y)² = 119² = 14161

If we put the value of the above data the value will become undefined.

Thus, option first "0; it represents no correlation between x and y" is correct there is no relation between x and y.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

The function f represents the marketing team's expected number of user profiles after x months, when the domain is restricted to all real or hole

Answers

The standard equation of user will be y = 625x²+1250x+5000

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

A connection or statement involving one or more variables is called a function.

From the graph we can find following equation:

(0,5000) ----------- 5000 = [tex]\frac{1}{4(f-k)}(0-h)^2 +k[/tex]

(2,10000) ---------- 10000 = [tex]\frac{1}{4(f-k)}(2-h)^2 +k[/tex]

(4,20000) --------- 20000 = [tex]\frac{1}{4(f-k)}(4-h)^2 +k[/tex]

Solving the above three equations we will get following values:

h = -1

k = 4375

f = 10937501/2500

Hence the standard equation of user will be y = 625x²+1250x+5000

Learn more about functions here:

https://brainly.com/question/4025726

#SPJ10

I need help asp. Identifying Geometric Figures.

Answers

Answer:

The angle created by OX and OZ is angle XOZ

The two rays that create YOX are ray OX and ray OY

The center of the circle is point O

Step-by-step explanation:

The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:

ray OX and ray OZ meet at center O to form angle XOZ.

ray OX and ray OY meet at the center O to form angel YOX.

Therefore:

The angle created by rays OX and OZ is <XOZ

The two rays that created <YOX are: OX and OY

The center of the circle is point O.

I hope this is helpful.

Find the midpoint of the segment with the following endpoints. (9, 8) and (3, 2)

Answers

Answer:

yoooo how you guys doing?

Question 8) Identify the volume of the composite figure. Round to the nearest tenth.

asap.... math test....must show work​

Answers

Answer:

860.71m³

Step-by-step explanation:

V(cuboid) = bhd

V(cylinder) = h(pi)r²

V(shape) = cuboid - cylinder

cuboid = 10 x 10 x 12

cuboid = 1200m³

cylinder = 12(pi)3²

cylinder = 12(pi)9

cylinder = 339.292m³

shape = 1200 - 339.292

shape = 860.71m³

Answer:

860.9 -ish

Step-by-step explanation:

To find that volume we need to find the volume of the rectangular prism and subtract the volume of the cylinder.  

First, lets find the volume of the prism.  

V=lwh  

V=10*10*12  

V=1200

Now, find the volume of the cylinder.  

V=Pie*Rsquared*h

V=3.14*3squared*12

V is about 339.12  

Now do  

1200-339.12=860.88

So it is about 860.9  

A, B, C, D got stuck with this problem

Answers

The third option. The translation would move it down, and the reflection would make the shape flip and move to the desired shape.

Which function is shown in the graph below?

Answers

Answer: c

Step-by-step explanation:

It has been given that the point (3,1) is on the graph.

And in order for the point (3,1) to lie on the graph, of all the given options the closest we can get is when we have Option C

This is confusing please help

Answers

Step-by-step explanation:

Since we have a right triangle, we use the Pythagorean Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

or

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

where a and b are the legs and c is the hypotenuse

Remember the legs are the sides that form that right angle, and the hypotenuse is the side opposite of the right angle.

So here the hypotenuse is 8, and one of the legs is 4. So we plug those values into the formula

[tex] 8 = \sqrt{ {b}^{2} + {4}^{2} } [/tex]

Please help answer needed asap

Answers

Answer:

A

Step-by-step explanation:

a = 3n-30       solve for 'n'

a + 30 = 3n

n = (a+30)/3

n(a) = (a+30)/3

PLEASE HELP FAST!!!

Answers

By trigonometric functions and law of cosines, the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

How to find a missing variable associated to an angle by trigonometry

In this question we have a geometric system that includes a right triangle, whose missing angle is determined by the following trigonometric function:

sin (7 · x + 4) = 12/14

7 · x + 4 = sin⁻¹ (12/14)

7 · x + 4 ≈ 58.997°

7 · x = 54.997°

x ≈ 7.856

In addition, the geometric system also includes a obtuse-angle triangle and that angle can be also found by the law of the cosine:

7² = 8² + 6² - 2 · (8) · (6) · cos (7 · x + 4)

17/32 = cos (7 · x + 4)

7 · x + 4 = cos⁻¹ (17/32)

7 · x + 4 ≈ 57.910°

7 · x ≈ 53.910°

x ≈ 7.701

Hence, we conclude that the value of x associated with a missing angle in the geometric system is between 7.701 and 7.856.

To learn more on triangles: https://brainly.com/question/25813512

#SPJ1

Other Questions
How many miles per hour does a sneeze travel? 1 10 100 1000 A sample of 0.0084 mol of HCl is dissolved in water to make a 1500 mL solution. Calculate the molarity of the HCl solution, the [H3O+] and the pH. For a strong acid such as HCl, the [H3O+] is the same as the molarity of the HCl solution. Nicholas has been diagnosed with a condition resulting from inflammation of tissue associated with his lungs. Which statement best clarifies the condition 51. A balloon starts rising from the ground, vertically upwards, uniformly at the rate of 1 m s-1. At the end of 4 seconds, a body is released from the balloon. Calculate the time taken by the released body to reach the ground. 51. A balloon starts rising from the ground , vertically upwards , uniformly at the rate of 1 m s - 1 . At the end of 4 seconds , a body is released from the balloon . Calculate the time taken by the released body to reach the ground what is one reason that death becomes more realistic and feared among middle-aged adults Which term describes the type of figurative language shown?I'm sleepy in the afternoon, but in the morning I'm a bumblebee.OA. PersonificationOB. SimileOC. HyperboleOD. Metaphor help me fill this page with the right answer please (17 lines minimum please) Golf balls cost $0.90 each at Jerzys Club, which has an annual $25 membership fee. At Rick and Toms sporting-goods store, the price is $1.35 per ball for the same brand. Where you buy your golf balls depends on how many you wish to buy. Explain, and illustrate your reasoning with a graph. A rectangular prism and a cylinder both have a height of 8m, and their cross-sectional areas are equal at every level parallel to their respective bases.Complete the steps to find the prism. The action by which workers vote on whether to accept or reject the terms of the contract negotiated by the union after collective bargaining is called:. Read the short speech. Operating a motor vehicle requires a drivers undivided attention. Navigating the roads, attending to road signs, and anticipating the behavior of others demands focus. Young drivers must ignore distractions that hinder their concentration, such as texting. Texting while driving is a blindfold that obstructs views and destroys caution. In the worst situations, it leads to destruction and can be fatal. Identify the metaphor in the speech. a drivers undivided attention anticipating the behavior of others young drivers must ignore distractions texting while driving is a blindfold What is the word equation for atoms of magnesium reacting with molecules of oxygen to produce magnesium oxide? After 8 points are added to each score in a sample.the mean is found to be M = 40. What was thevalue for the original mean? what were thecultural feature of byzantine empire Places rich in limestone and gypsum have hard water . why ?? Read the sentences below. ""the flick was gr8. ull how should you rewrite these sentences for a formal movie review? ""the flick was great. youll love it."" ""the movie was okay. you might like it."" ""the movie was something that you might enjoy."" ""the film was a masterpiece that you will truly enjoy."" PROGRESSIVISMDescribe the progressive reform that was sparked by this image. Provide the historical context of the time period and the lasting impact of the reform.Respond in a CLEAR paragraph. Which two points on the number line represent numbers that can be combined to make zero? B and DA and BC and DA and C f(x) = x + (k-6) x +9, k * 0. The roots of the equation f(x) = 0 are a and B. (a) Find, in terms of k, the value of (i) a + (ii) a Given that 9(a+ B) = 2ap. find the value of k. (b) (c) Using your value of k, and without solving the equation f(x) = 0. form a quadratic equation, with integer coefficients, which has roots and 33 f ( x ) = x + ( k - 6 ) x +9 , k * 0 . The roots of the equation f ( x ) = 0 are a and B. ( a ) Find , in terms of k , the value of ( i ) a + ( ii ) a Given that 9 ( a + B ) = 2ap . find the value of k . ( b ) ( c ) Using your value of k , and without solving the equation f ( x ) = 0 . form a quadratic equation , with integer coefficients , which has roots and 33 Which inequality defines the shaded region graphed below?