Mathematics High School

How many degrees is THETA?
NOTE: Diagram is not to scale.
Give numerical answer only, no units.

How Many Degrees Is THETA?NOTE: Diagram Is Not To Scale.Give Numerical Answer Only, No Units.

Answers

Answer 1

Answer:

θ = 104°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

All angles in a triangle add up to 180°

Step-by-step explanation:

Step 1: Define

Identify and set up

m∠A = 31°

m∠B = θ

m∠C = 45°

θ + 31° + 45° = 180°

Step 2: Find θ

Add:                                                                                                                    θ + 76° = 180°[Subtraction Property of Equality] Subtract 76° on both sides:                      θ = 104°
Answer 2

Answer:

104

Step-by-step explanation:

All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.

Related Questions

Determine the interest paid on an investment of $2700 for 3years at a rate of 7.5% per annum compound interest ​

Answers

Step-by-step explanation:

hope you have understood.

A=(a+b)h

Work out the value of h when A = 38.64, a = 5.5 and b = 3.7.

Answers

Answer:

h = 8.4

Step-by-step explanation:

38.64 = [tex]\frac{(5.5+3.7)h}{2}[/tex]

38.64(2) = 9.2h

77.28 = 9.2h

h = 77.28/9.2

h = 8.4

PLEASE HELP! Joe was holding a kite with his hand 5' off the ground. The kite string is 125' long and has an angle of elevation of 56 degrees. How high off the ground is the kite?

Answers

Answer: 108.629 inches off the ground. (Round to any decimal place!)

Hi there! This is very similar to a question that I had yesterday, so I will do my best to try to answer it! I’m only in middle school, so this may not be correct :)

Step-by-step explanation:

First set up a diagram. The length of the string is the hypotenuse, and the angle of elevation is as pictured below. Use SOH CAH TOA to find the correct ratio, and then solve for “x”. Once you solve for “x” (height) add the 5 inches to the total, and your answer will be there! :)

A cell phone company dropped the price by 7%. Which expression shows the new price of the phones(p)? A 0.07p B p-1.07 C p-0.07 D p-0.07p E 0.93p

Answers

Answer:

option D

Step-by-step explanation:

Let the price be p

7% of price = 0.07p

Price after decrease = p - 0.07p

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

4(-3) + 3(-5) + 7
-12+-15+7=-20

Answer:

The answer is -20.

Step-by-step explanation:

To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.

Next, solve the expression, and the answer will be -20.  

Please help...*puppy eyes*
(Will pick brainliest)

Answers

Step-by-step explanation:

Note that the denominators in the expression are perfect squares:

[tex] {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)[/tex]

[tex] {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)[/tex]

[tex] {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)[/tex]

We can then write the given expression as

[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

[tex] \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}[/tex]

[tex] = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}[/tex]

[tex] = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } [/tex]

Does this graph represent a function? Why or why not?

Answers

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

Find values of x, HJ, and JK.​

Answers

Answer:

x = 2, HJ = JK = 11

Step-by-step explanation:

Given that H is the midpoint of JK , then

HJ = JK = 6x - 1 and

HJ + JK = JK , that is

6x - 1 + 6x - 1 = 3x + 16 ← simplify left side

12x - 2 = 3x + 16 ( subtract 3x from both sides )

9x - 2 = 16 ( add 2 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Then

HJ = JK = 6x - 1 = 6(2) - 1 = 12 - 1 = 11

Christian has six grades from test and IXL. They are all weighted equally. If Christian's grades are 100,96,96,88,70, and 100, what is thhe current average grade? (Round to the nearest whole number)

Answers

Answer:

100+96+96+88+70+100=550

550 divided by 6 is 91 1/3

92 is his current grade

MAX POINTS AND BRAINLIEST
Use the table below to write an equation in slope intercept form. How did you find the slope and the y intercept of the equation?​

Answers

Answer:

y = 8x+9

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

  = ( 57-17)/(6-1)

   = 40/5

  = 8

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 8x+b

Substitute a point into the equation

33 = 8*3 +b

33 = 24+b

Subtract 24 from each side

33-24 = 24+b-b

9 = b

y = 8x+9

#equation

(1,7)(3,33)

Slope

m=33-17/3-1m=16/2m=8.

Now

y-y_1=m(x-x_1)y-17=8(x-1)y-17=8x-8y=8x+9

On comparing to slope intercept form

y intercept is 9

Hello there, could you please help me? Thank you

Answers

Answer:

24

Step-by-step explanation:

Segment AC is 1/2 of segment AB so 12+12=24

Hope this helps

AB should be 24

explanation; the bisector cuts it in the middle and the problem gave us half of that (12),

For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Answers

10.25 hours on average

8+12+12+9=41

41/4= 10.25

Solve for y.

-24 = -8y

Simply your answer as much as possible.

Answers

Answer:

Y=3

Step-by-step explanation:

-8 times 3 equals -24

Answer:

y = -3

Step-by-step explanation:

-24 = 8y

Divide both side by 8

-24/8 = 8y/8

-24/8 = y

divide -24 by 8 to get -3

-3 = y

rewrite ..( optional )

y = -3

Can someone help me with this question please

Answers

The error is the proportions are set wrong

Can I get help ?!:) pleasee

Answers

Answer:

9, not 54

Step-by-step explanation:

2/3 an also be 6/9 and 1/9

Answer:

18

Step-by-step explanation:

The LCM of 6 and 9 is 18

Then the least common denominator is 18

What is the slope of the linear function of (6 , 2) (9 , 8)

Answers

Answer:

1/2

Step-by-step explanation:

The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

9-6=3

8-2=6

3/6=1/2

plz i REALLY need help. explain ur answer

Answers

Answer:

#16f(x) = 3(x² + 2),

the y -intercept is:

f(0) = 3(0 + 2) = 6

The y-intercept of h(x) is

-6 (from table)

Correct choice is M

#17

Number of students who will not eat food served at school is 47,

total number of students is 410

Required probability is:

P = 47/410*100% = 11.46%

Which statement is true? A.|-2.5|>|-3|

B: |-2.5|<|-3| C: |-2.5|=|-3|

Answers

Answer:

b.

Step-by-step explanation:

|-2.5|<|-3|

l -2.5 l = 2.5

l -3 l = 3

2.5 < 3

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)

Answers

Answer:

D) [tex](-2,-9)[/tex]

Step-by-step explanation:

Vertex Form of a Vertical Parabola:

[tex]y=a(x-h)^2+k[/tex]

Vertex -> [tex](h,k)[/tex]

Axis of Symmetry -> [tex]x=h[/tex]

Vertical Scale Factor -> [tex]a[/tex]

To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]

Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].

The coordinates of the vertex of the graph is (-2, -9).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

x² + 4x - 5

Given that axis of symmetry of the function is x = -2.

So the x coordinate of the vertex = -2.

y coordinates = f(-2) = 4 - 8 - 5 = -9

Hence the vertex is (-2, -9).

Learn more about Vertex form here :

https://brainly.com/question/13921516

#SPJ5

Evaluate yx^y - xy^x for x = 1/2 and y=4.

A: -3/4
B: -1/2
C: 1/4
D: 3/4

Answers

Answer:

b

Step-by-step explanation:


Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5

Answers

your answer would be 19/8 !!

What is the solution to the linear equation?

2.8y + 6 + 0.2y = 5y – 14

Answers

Answer:

2y +3x

Step-by-step explanation:

sjsjdjdsndnjssje

Write the equation of the line that has an undefined slope and passes through the point (3,5)

Answers

Undefined slope is when a line becomes vertical. Vertical lines have undefined slope because if we attempt to find the slope using formula, the denominator will become 0 which is undefined.

Next, the equation of a vertical line is x = a where a is any real numbers.

Since the line is vertical, for any a-value would have same y-value which is all real numbers.

However since the graph passes through x = 3. For x = 3 has y-value as set of all real numbers.

Answer

The equation for a line that has undefined slope and passes through (3,5) is x = 3

Let me know if you have any doubts!

What is the surface area?
5 ft
4 ft
5 ft
6 ft
5 ft
square feet

Answers

Answer:250 ft

Step-by-step explanation:

5 ft x 4 ft = 20

5 ft x 6 ft = 30

20 + 30 = 50

50 x 5 ft = 250 ft

I hope this helps and if its wrong im sorry

Let r(x)=x^2.If r(x)=4,find x
A.2
B.-2
C.4
D.Both 2 and -2 are correct
E.None of these choices are correct

Answers

the answer should be D

PLEASE HELP ME!!! I WILL GIVE BRAINLIEST

Answers

Answer: x = 5 p = 288

Step-by-step explanation:

6x-8 = 22

6x = 30

x = 5

75 =p/4 + 3

p/4 = 72

p = 288

Answer:

the first one will be

x=5

Pls help quicky! I will also give a brainliest!!!!!

Answers

the answer should be 7.12. because you do 10.52-3.4, giving your answer

Answer:

A) 7.12

Step-by-step explanation:

Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52

Hope this helps, good luck! :)


Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle of elevation to the top of the tree is 23 degrees. About how toll is the tree
feet tall
The tree is about _____ feet tall

Answers

Step-by-step explanation:

everything can be found in the picture

How much should be added to 58.4 to makes 400?​

Answers

Answer:

341.6

Step-by-step explanation:

400-58.4=341.6

Help I’ll mark as brainliest!!

Answers

Answer:

8

Step-by-step explanation:

Your welcome! :)

Good Luck!

Answer: x=32 (upper answer is wrong!)

Explanation: You set the equations equal to each other, then get the variables onto one side, then solve! I checked with a calculator, so this is correct :)
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