Given the diagram below, find the value of x:



a
27.5
b
62
c
8.5
d
31

Given The Diagram Below, Find The Value Of X: A27.5 B62 C8.5 D31

Answers

Answer 1

Answer:

x = 31

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x - 7 + 2x + 63 = 180, that is

4x + 56 = 180 ( subtract 56 from both sides )

4x = 124 ( divide both sides by 4 )

x = 31


Related Questions

Suppose you invest $10,000 in a mutual fund that earns 6% annual interest. What is the value of your investment 30 years later? Show both the value and evidence of the thinking you used to calculate the value of the investment.

Answers

Answer:

$57400

Step-by-step explanation:

Given data

P= $10,000

R= 6%

T= 30 years

Let us Assume the investment is compounded Anually

A= P(1+r)^t

A=10000(1+0.06)^30

A=10000(1.06)^30

A=10000*5.74

A=$57400

Hence the Final Amount after 30 years compounded anually is $57400

Simplify the expression
6x -(5x-4)

Answers

Answer:

x + 4 OR 1x + 4

Hope this helps, thank you !!

A miner earns a wage of $28.42 per hour, plus an allowance of $9.97 per hour for working underground in confined spaces. If the miner works from 8.30am to 4.00pm each day from Monday to Friday, calculate his yearly income

Answers

Answer:

$74,860.50

Step-by-step explanation:

Wages per hour = $28.42

Allowance per hour = $9.97

8.30am to 4.00pm = 7.5 hours

Per day income (24 hours) = 7.5 * $28.42 + 7.5 * $9.97

= $213.15 + $74.775

= $287.925

Weekly income (Monday - Friday) = 5 days * $287.925

= $1,439.625

There are 52 weeks in a year

Yearly income = 52 weeks * $1,439.625

= $74,860.50

His yearly income = $74,860.50

Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?

A.
40%

B.
67%

C.
0.6

D.
2/3

Answers

Answer: 40%

Step-by-step explanation:

I guessed on this but i got it right

Answer:

40%

Step-by-step explanation:

PLEASEEEEE HELP PLEASEEEEE

Answers

Answer:

A=2t+29

B=5t+14

39 inches tall at equal height after 5 years

Step-by-step explanation:

Tree A at 5 years

2x5+29=39 inches

Tree B at 5 years

5x5+14=39 inches

Answer:

★ The answer for A= 2t + 19

★ The answer for B= 5t + 14

★ So the answer would 39 inches tall which would be equal to a height after 5 years

Step-by-step explanation:

Hope you have a great day :)

A/c = ?/f
Pls help for my study guide

Answers

Step-by-step explanation:

I think

a/c = d/f

........

HELP people say this is easy pleaseeeeee

Answers

Answer:

45   80

Step-by-step explanation:

Answer:

3.

∠BOA , ∠AOB

45°

4.

∠DEN , ∠NED

80°

You are starting a new job in sales for the company Buy ‘n Large. Your hourly wage is $10.00 per hour and you get time and a half for anything over 40 hours. Based on a 5-day work week, 8-hour day, and 52 week year, determine your annual gross base salary.
A. $21,650
B. $18,798
C. $20,800
D. $19,980

Answers

Answer:

20,800

Step-by-step explanation:

10.00 per hour so 10x8=80

then 80x5=400

400x52=20,800

(x^4/7^-8)^-7
A)x^-28*7^-56
B)x^28/7^56
C)x^28/7^-56

Answers

9514 1404 393

Answer:

  A)  x^-28*7^-56

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

  1/a^b = a^-b

__

  [tex]\left(\dfrac{x^4}{7^{-8}}\right)^{-7}=(x^47^8)^{-7}=x^{4(-7)}7^{8(-7)}=\boxed{x^{-28}7^{-56}}[/tex]

A cake shop bought 55 bread rolls that cost 275 c each and 85
cakes that cost 550 c each. Find the total cost of the rolls and the cakes​

Answers

Answer:

im just going to assume you fogot the decimals. the total cost would be $618.75

Step-by-step explanation:

(55*2.75)= $151.25 for bread rolls

(85*5.50)= $467.50 for cakes

151.25+467.50= $618.75

Sarah exchanged 1,000 US dollars for the Croatian Kuna. The exchange rate was 6.72 Kuna for $1. How many Croatian Kuna did Sarah get?

Answers

Answer:

6720 Kuna

Step-by-step explanation:

multiply the rate for one dollar by the amount of money your are converting

6.72 x 1000 = 6720

a) The regular price of a T-shirt is $18. What is the discounted price?

b) If the regular price of an item is x dollars, what is the discount price in dollars?

c) The discounted price of a hat is $18. What is the regular (original) price?

help fast!!!​

Answers

Answer:

B

Step-by-step explanati

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.   so whats left.... B

Answer:

the price of the shirt is $18 and lets say x is the discount . X is the discount cause there wasnt a discount provided. so therefore x is unknown.    C is talking about a hat and were talking abot a shirt.

Step-by-step explanation:

I WILL PAYPAL YOU 20 POINTS IF U DO THIS

Answers

Answer:

What is the variable behind the 5?

Step-by-step explanation:

[tex]\frac{13*5^{3}*z^{10}}{x^{5}}[/tex]

OR

[tex]\frac{1625 z^{10}}{x^{5}}[/tex]

Answer:

(13x * 10^53) + 10.

Step-by-step explanation:

To simplify the expression "13x 10^53--10" and write it using only positive exponents, we can follow these steps:

Step 1: Remove the double negative signs by converting them to positive signs:

13x 10^53 + 10

Step 2: Rewrite the expression by moving the term with a positive exponent to the denominator:

13x / (10^-53) + 10

Step 3: To simplify the denominator, we can rewrite 10^-53 as (1/10^53):

13x / (1/10^53) + 10

Step 4: Simplify the division of a fraction by multiplying by its reciprocal:

13x * (10^53/1) + 10

Step 5: Multiply 13x by 10^53:

(13x * 10^53) + 10

The simplified expression, written using only positive exponents, is (13x * 10^53) + 1

The coordinates of quadrilateral ABCD plotted on a coordinate plane are A(0, 3), B(3,-1).
C(-4, -3) and D(-7, 1). what is the perimeter of the quadrilateral?

Answers

Answer:

24.56  (parallelogram)

Step-by-step explanation:

4 sides of ABCD: AB, BC, AD, DC

perimeter = AB + BC + AD + DC

distance of two points: √(x-x')²+(y-y')²

AB = √3²+4² = √25 = 5

BC = √7²+2² = √53 = 7.28

AD = √7²+2² = √53 = 7.28

DC = √3²+4² = √25 = 5

P = 5*2 + 7.28*2 = 24.56

The perimeter of the quadrilateral = 24.56 units.

What are Quadrilateral's?

A closed polygon with four sides, four vertices, and four angles is known as a quadrilateral. By joining four non-collinear points, it is formed. The amount of inside points of quadrilaterals is consistently equivalent to 360 degrees.

Given coordinates of quadrilateral ABCD, A(0, 3), B(3,-1).

C(-4, -3) and D(-7, 1)

for coordinate plane the length of a side is given by

d = √((x₂ - x₁)² + (y₂- y₁)²)

where d is the length of a side of a quadrilateral

AB = √((3 - 0)² + (-1-3)²)

AB = 5

BC = √((-4 -3)² + (-3 +1)²)

BC = √53 = 7.28

CD = √((-7 + 4)² + (1 + 3)²)

CD =5

DA = √((0+ 7)² + (3 - 1)²)

DA = √53 = 7.28

Perimeter of quadrilateral is given by sum of all the sides

= AB + BC + CD +DA = 5 + 7.28 + 5 +7.28

perimeter = 24.56 units

Hence perimeter = 24.56 units

Learn more about quadrilaterals;

https://brainly.com/question/12131358

#SPJ2

A small submarine is at an elevation of -30 feet compared to sea level. What is its elevation after it ascends 9 feet?

Answers

Answer:

-21 feet or -39 feet

Step-by-step explanation:

IM SCROLLING THROUGH ALL OF THESE FRANTIC PLEAS OF HELP YALL I DONT KNOW ETHER YOUR EQUATIONS ARE MAKING MY EYES WATER

Answers

Answer:

What?

Step-by-step explanation:

I don't understand what you're saying.


A triangle with vertices at (2,4), (2,-1) and (5,-1) will have a perimeter of
Round your answer to the nearest tenth.

Answers

Answer:

13.8

Step-by-step explanation:

Please let me know if you want me to add an explanation.

HELP! If the area of a rectangle is 10x^2+3x-4 and the width is 2x-1, what is the side length of the rectangle?

Answers

Answer:

5x+4

Step-by-step explanation:

Angle A and angle B are complementary angles. Angle A is 30 degrees. What is the measure
of angle B?

Answers

Answer:

60°

Step-by-step explanation:

A=30°

B=?

lets B be x

A=30°

x+30°=90°

x+30°-30°=90°-30°

X=60°

Explain, in writing, the steps in graphing and finding the solution to the system of equations.
y = x + 2
y=-x-2

Answers

Answer:

Feel free to copy and paste:

Use the slope-intercept form to find the slope and y-intercept. To do this, use y=mx+b. Plug the variables where m=1 and b=2. Slope of the line is m and y-intercept is value of b, so the slope is 1 while the y-intercept is (0,2). Any line can be graphed using two points, and using two x values to plug them into the equation to find the corresponding y values: 0=x+2 is (-2,0). Y-intercept is already known, so use the known values and make a table where x= -2,0 and y = 0,2. Now, graph the line using the slope, y-intercept, and known points (-2,0), (0,-2) to plot the graph. Coincidingly, the answer to solve your system of equations will be the x-intercept: (-2,0).

x + 3y = 5
-X+6y=4
Solve the systems of equations
A)
x = 1, y = 2
B)
x = 2,y - 1

x - 1.y - 1
D)
X-Oy-2

Answers

Answer:

x=2, y=1. (2, 1).

Step-by-step explanation:

x+3y=5

-x+6y=4

--------------

9y=9

y=9/9=1

x+3(1)=5

x+3=5

x=5-3=2

Answer:

x=2

y=1

Step-by-step explanation:

When solving systems of equations with the elimination
method or the substitution method, how do you determine if
you have one solution, no solutions or infinite solutions?

Answers

Step-by step explanation:

That's a great question. Look for things such as these:

x=x (infinite solution)

x=12 (one solution)

x+3 = x + 5 (no solutions)

https://youtu.be/bq5gDsEdN3Q this video has more information, copy and paste the link into your search engine.

Determine the prime factorization of 88. 2^2• 3 • 5 2^3• 11 2 • 3^2• 5 2^2• 11

Answers

Answer:

2 three times or 2, 2, 2, and 11

Step-by-step explanation:

if you're writing/explaining in exponential form, this is how you write it out, 2³ x 11¹

YW.

Simplify the mathematical -5 ½ x 4__ ( -9 ⅗ ) + ( - 1.4)

Answers

Step-by-step explanation: 5

PLEASE HELP ME ON SOME OF THESE!!! I AM SO CONFUSED!!

Answers

Answer:

4) (2x)(2x)(0.5)=shaded area

5) (7x)(5x)-(3)(4)(0.5)=shaded area

6) (3x+3)(x+4)-(2x)(x+4)(0.5)=shaded area

7) (3x)(2x)-(2x)(x)(0.5)-(x)(x)(0.5)=shaded area

8) (6x)(4x)(0.5)+(10x)(4x)(0.5)=shaded area

9) (4x+2)(x+3)+(2x)(x+3)(0.5)=shaded area

Step-by-step explanation:

Write 4,670,000 in standard form

Answers

Step-by-step explanation:

4,670,000

->

4.67x10^6

(im pretty sure this is correct) :)

Answer:

4.67×10 power 6

I hope it helps

Write these in order starting with the smallest first.
12% 3/8 0.0123 42% 1/5 0.45

Answers

12% = 12/100-> 1.2/10

5 1/3 + (-4 1/6)+ (-2 1/2)

Answers

Answer:

[tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

We are given that

[tex]5\frac{1}{3}+(-4\frac{1}{6})+(-2\frac{1}{2})[/tex]

We have to find the value of given expression

[tex]\frac{5(3)+1}{3}-(\frac{4(6)+1}{6})-(\frac{2(2)+1}{2})[/tex]

[tex]=\frac{15+1}{3}-\frac{24+1}{6}-\frac{4+1}{2}[/tex]

[tex]=\frac{16}{3}-\frac{25}{6}-\frac{5}{2}[/tex]

LCM(2,3,6)=6

[tex]=\frac{32-25-15}{6}[/tex]

[tex]=\frac{32-40}{6}[/tex]

[tex]=\frac{-8}{6}[/tex]

[tex]=-\frac{4}{3}[/tex]

Fiona was thinking of a number. Fiona divides by 8, then adds 11 to get an answer of 7. What was the original number?

Answers

7 - 11= -4
-4 x 8= -32
Original number was -32

Answer:

-32

Step-by-step explanation:

Do the opposite of everything to fin the number:

7 - 11 = -4

-4 x 8 = -32

Check to see if it's true:

-32/8 = -4

-4 + 11 = 7

So the original number was -32, because when you divide it by 8 then add 11 it equals 7.

The endpoints of line segment CD are C(-2,0) and D(4,9). Find the midpoint of
line segment CD

Answers

Given:

The endpoints of line segment CD are C(-2,0) and D(4,9).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of CD is

[tex]Midpoint=\left(\dfrac{-2+4}{2},\dfrac{0+9}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{2}{2},\dfrac{9}{2}\right)[/tex]

[tex]Midpoint=\left(1,4.5\right)[/tex]

Therefore, the midpoint of the line segment CD is (1,4.5).

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