Solve for x in the diagram below.

Solve For X In The Diagram Below.

Answers

Answer 1

Answer:

x = 20°

Step-by-step explanation:

x° + 2x°+ (x+10)° = 90°

4x° + 10° = 90°

4x° = (90 -10)°

x° = (80/4)°

x = 20°

Hope this helps

Answer 2

Answer:

x = 20

Step-by-step explanation:

Key points:

understanding diagram notationunderstanding the Angle Addition Postulate

Diagram notation

In the diagram, there are three angles, each with an expression representing the measure of their angle (in degrees).  Angles are adjacent (next to each other with the same vertex) such that collectively they form one large angle.

The small square in the lower left corner means that the large angle is a right angle.  All right angles are 90°.

Note:  The expressions for each angle all have a degree marking, so each angle is measured in degrees.  The unknown value x, is a number without any units, the expression is simplified, and then the units "degrees" are applied.  So in the end, the answer for "x" will not have units; "x" will just be a number.

Angle Addition Postulate

The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the large angle formed by those adjacent angles.  

[tex](\text{measure of first angle})+(\text{measure of second angle})=(\text{measure of the combined angle})[/tex]

Solving the given problem

By applying the Angle Addition Postulate a couple times, the sum of the measures of all three angles in the diagram is equal to the measure of the large angle formed by those three angles.

[tex](\text{measure of first angle})+(\text{measure of second angle})+(\text{measure of third angle})=(\text{measure of the large right angle})[/tex]

or

[tex](x)+(2x)+(x+10)=(90)[/tex]

From here, to solve for x, we'll need to combine like terms, isolate x, and simplify.

Start with the Associative Property of Addition to combine like terms:

[tex](x+2x+x)+10=90\\4x+10=90[/tex]

To isolate x, subtract 10 from both sides and simplify...

[tex](4x+10)-10=(90)-10\\4x=80[/tex]

... then divide by 4 on both sides and simplify.

[tex]\dfrac {4x}{4}=\dfrac {80}{4}\\x=20[/tex]

So, x=20


Related Questions

A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.




Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar?

A.
15

B.
25

C.
9

D.
18

Answers

Answer:

D 18

Step-by-step explanation:

100% = 50 (all students)

1% = 100%/100 = 50/100 = 1/2 = 0.5

we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.

there are 9 votes for green.

9/ 0.5 = 18%

Choose the variable expression that matches this phrase.
the sum of the number of crew members on the tour boat and the 5
passengers.
A. 5-c
B. 5c
C. 5+ c
D. 5÷c

Answers

The sum of the number of crew members (c) on the tour boat and the 5 passengers is 5 + c. Then the correct option is C.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

The sum of the number of crew members (c) on the tour boat and the 5 passengers.

This can be written as in the form of the mathematical form.

⇒ 5 + c

Then the correct option is C.

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What is the branch of mathematics developed by isaac newton called today?.

Answers

Answer: Calculus.

Step-by-step explanation: He created calculus.

what is the answer for this please 23÷23​

Answers

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1. So, 23 divided by 23 is 1.

What is necessary to determine the z-score for a raw score in a particular set of scores?.

Answers

Answer:

See below

Step-by-step explanation:

The mean score and the standard deviation are needed

Which expression is the simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2)

Answers

The simplest form of the given expression is 5x^3-5x^2.

We have given that

[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)[/tex]

We have to determine the simplest form of the given expression.

What is the distributive property?

The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.

Use the distributive property we get,

[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\[/tex]

Add like terms we get,

Therefore we get,

[tex]=5x^3-5x^2[/tex]

Therefore the simplest form of the given expression is 5x^3-5x^2.

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Solve |2x - 6| < 10

{x|-2 < x < 8}
{x|2 < x < 8}
{x|-8 < x < 8}

Answers

0 lakalallalallllala

Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step

Answers

Answer:

20 Players

Step-by-step explanation:

Total Amount of Money: $2412.50

First the team rented us a bus for $1072.50

Subtract the bus from the total

$2412.50 - $1072.50 = $1340

Total Amount of Money after bus: $1340

From there we need to find the max number of players that can go.

The budget cost for each player is $67.

So we divide the remaining money by $67 to find the number of players that can go.

$1340/$67 = 20 Players.

Please mark brainliest and click thanks.

Hope this helps!

In question 1, you found the cubes of both positive and negative numbers. Does x3 = 8 have two solutions as x2 = 4 does? Why or why not?

Answers

No it doesn’t. This is because if you have a negative number and multiply it by itself 3 times, you’ll still have a negative number (-1 times -1 times -1 is still -1). On the other hand, if you take a negative number and multiply it by itself twice (-1 times -1) you’ll have the answer that is positive (1).

Solve the inequality for x and identify the graph of its solution.
|x+ 2|>2

Answers

Answer:

A. x < -4 or x > 0

Step-by-step explanation:

[tex]|x+2| > 2\iff x+2 > 2\ \vee\ x+2 < -2[/tex]

subtract 2 from both sides

[tex]x > 0\ \vee\ x < -4[/tex]

Lightning quickly heats the air causing it to expand, which produces the sound of thunder. Sound travels approximately 1 mile in 5 seconds. Knowing D = rt, how far away is a thunderstorm when you notice a 3- second delay between the flash of lightning and the sound of thunder? Lightning quickly heats the air causing it to expand , which produces the sound of thunder . Sound travels approximately 1 mile in 5 seconds . Knowing D = rt , how far away is a thunderstorm when you notice a 3 second delay between the flash of lightning and the sound of thunder ?

Answers

Answer:

every second it travels 1/5 of a mile after 3 seconds you are 3/5 miles away

Hope This helps!

Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2

Answers

An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given equation y=-5x+2 can be drawn as shown below.

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!!!!PLEASE HELP FAST !!!!

Solve each discrete exponential growth/decay problem. A country pledges to
reduce its CO2 emissions by 3.9% per year. If the emissions in 2022 are 5,160 Mt
(metric megatons), what are the maximum allowable emissions in the year 2030?
A) 5160 0.844≈ 1,329 Mt
B) 5160-0.961 = 3,754 Mt
C) 10320-0.961 = 7,507 Mt
D) 5160-0.99=4,761 Mt

Answers

Answer:

C) 10320-0.961 = 7,507 Mt

that is my answer please have a great day

Given log subscript 4 baseline 3 almost-equals 0.792 and log subscript 4 baseline 21 almost-equals 2.196, what is log subscript 4 baseline 7?

Answers

The value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

We are given the logarithmic functions:

log₄3 = 0.792 ,,, (i), and log₄21 = 2.196 ... (ii),

and we are asked to find the value of the logarithmic function log₄7.

On subtracting (i) from (ii), we get:

log₄21 - log₄3 = 2.196 - 0.792.

Using the quotient law of logarithms, according to which:

logₓa - logₓb = logₓ(a/b), we can write the above equation as:

log₄(21/3) = 1.404,

or, log₄7 = 1.404.

Therefore, the value of the logarithmic function log₄7 = 1.404, when the values of the logarithmic functions log₄3 = 0.792 and log₄21 = 2.196.

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Answer:

A.

1.404

Step-by-step explanation:

3 photos are printed in 1 minute. How many minuted would it take to print 600 photos

Answers

Answer:200 minutes

Step-by-step explanation:

1 minute = 60 seconds.

6/3 = 2 (20 seconds) 1 photo every 20 seconds.

600x20 = 12000. seconds.

12000/60 = 200 (200 minutes)

Answer:

200 photos

Step-by-step explanation:

1 min = 3 photos

X min = 600 photos

therefore

3 X = 600

X = 600/3

X = 200

Fluffy the bunny ate 1/2 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1/3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?

Answers

Answer:

1/6

Step-by-step explanation:

the total carrot is 1/1 and fluffy ate 1/2 of it . this means half has been eaten and it is left with half so now 1/2 -1/3 ( carrot left in the morning - the carrot left now ) this will be 1/6

p=f/a, where f=70 and a=20
f is increased by 10
a is increased to by 10

Answers

[tex]\huge\underline{ Answer -}[/tex]

Given ,

[tex]\boxed{p = \frac{f}{a} } \\ [/tex]

where ,

the initial values of a and f are -

a = 70

a = 20

To find - value of p if the values of a and f are increased by 10

[tex]\therefore \: f = 80 \\ a = 30[/tex]

Then ,

[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]

hope helpful ~

16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.​

Answers

Step-by-step explanation:

Let U=universal set

C=students who drink coke

P = students who drink pepsi

Math word problems please help

Answers

Answer: leave the math class

How would you describe the red paths pictured below? ( The picture above)


A. Perpendicular

B. None are correct

C. Parallel

D. Intersecting

Answers

Answer:

perpendicular

Step-by-step explanation:

A. Perpendicular :)

yw

this is hard for me could smone help me ASAP please?

Answers

Answer:

x is 90°

y is 56°

Step-by-step explanation:

Concepts used :

The angle subtended by a diameter inside the circle is always 90° .

Sum of interior angles of a triangle is 180°.

Here x is the angle subtended by the diameter of the circle therefore ,

x is 90°.

let the end points of diameter  as A , B

and the point where the it subtends the 90° angle be C

using interior angle property on the triangle  ΔABC

90° + 62° + ∠A = 180°

152° + ∠A = 180°

∠A = 180° - 152°

∠A  =  28°

now let he midpoint of diameter as D

as the sides DC and DA are radius of circle  and therefore equal

so using isosceles triangle property which states that angle opposite to equal sides are equal

so the angle ∠ACD = 28°

now using exterior angle property on ΔADC

y = 56°

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The coordinates of the vertices of △HIJ are H(−2,2), I(8,−2), and J(−4,−3). Identify the perimeter of △HIJ to the nearest tenth

Answers

Answer:

  28.2

Step-by-step explanation:

The perimeter of a plane figure is the sum of the lengths of its sides. Those lengths and their sum can be found a number of different ways.

__

graphing aid

The values computed by the graphing program in the attachment add up to 28.2 units.

__

using algebra

The length of each side of the triangle can be computed using the distance formula or the Pythagorean theorem. For a given "rise" and "run", the length of a line segment is ...

  d = √(rise^2 +run^2)

  HI = √((-4)^2 +10^2) = √116 ≈ 10.770

  IJ = √(1^2 +12^2) = √145 ≈ 12.042

  JH = √(5^2 +2^2) = √29 ≈ 5.385

The perimeter is the total of the lengths of the sides:

  P = HI +IJ +JH = 10.770 +12.042 +5.385 = 28.197

To the nearest tenth, the perimeter is 28.2 units.

this is not the answer i was looking for

Answers

oh okay sorry about it

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively

Answers

The volume of the rectangular prism is 36/125 cm³.

What is the volume?

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Volume = length x width x height

3/5 x 4/5 x 3/5 = 36/125 cm³

Here is the complete question :

Rectangular prism with a length, width, and height of 3/5 cm, 4/5cm, and 3/5 cm, respectively. Find its volume?

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50 POINTS AND BRAINLIEST!! PLEASE GIVE AN EXPLANATION. If ray VA-VF-VB and the measure of angle AVF = 32 and the measure of angle FVB = 2x + 9 and the measure of angle AVB = 3x - 4, then find the measure of angle AVB.

Answers

The measure of angle AVB = 131 degree .

What is a Ray ?

A line with a starting point but extends upto infinity in one direction.

It is given that

Measure of angle AVF = 32

the measure of angle FVB = 2x + 9

the measure of angle AVB = 3x - 4

The angle AVB = AVF + FVB

this can be written as

3x- 4 = 2x+9 +32

x = 32+9+4

x = 45 degree

Therefore the measure of AVB = 3*45-4 = 131 degree

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PLS HELP!!

Find the zeros of y=x² - 6x-4 by completing the square.
O A. x= 3± √13
OB. x = 3± √5
O C. x = -3± √13
OD. x = ±3

Answers

Answer:

A

Step-by-step explanation:

y = x² - 6x - 4

(x - 3)² - 3² - 4 = 0

(x - 3)² - 13 = 0

(x - 3)² = 13

x - 3 = ±√13

x = 3 ± √13

It’s A I just did this

Tara has a box of 908 beads for making bracelets. She wants to put 15 beads on each bracelet she makes. What is the greatest number of bracelets Tara can make with these beads? Tara has a box of 908 beads for making bracelets . She wants to put 15 beads on each bracelet she makes . What is the greatest number of bracelets Tara can make with these beads ?​

Answers

Answer:

Tara can make 60 bracelets.

Step-by-step explanation:

908 / 15 = 60.5

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
7
when x = 1, find y when x = 3.
3x2 (3)=
--/12
C.
7
27
y =
b.
4x² (3) 7
36
7x2 (3) 4
63
3
y=y(3)
y=
d.

Answers

Answer:

k=7,y=2.33 and y=k/x^2

Step-by-step explanation:

y=k/x^2

7=k/1

k=7

y=k/x^2

y=7/3

y=2.33

hope it helpful

Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.


If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5

Answers

Answer:

1st q answer is f(x) is one- to -one function and 2nd q answer is 2

Answer:

1) f(x) is one - to - one function2) 2

Step-by-step explanation:

inverse of f(x)

Let f(x) = y

y = 2x - 3

x = y + 3 / 2

inverse of f(x) = x + 3 / 2

g(x) = inverse of f(x)

f [g(2)]

f [2+3/2]

f [5/2]

(2×5/2)-3

5-3

= 2

Therefore f [g(2)] = 2

in a dilation, what is preserved and what is altered?

Answers

Answer:

A dilation preserves angle measures.

A dilation alters the length of line segments by the same proportion.

Step-by-step explanation:

A dilatation is a transformation that alters a figure's size while maintaining its shape and orientation. Each linear measure of the figure, such as a side length, is multiplied by the scale factor of a dilatation. A dilation is a transformation where all line segments' lengths are altered uniformly. While a dilatation can alter a figure's size, it cannot alter a figure's form. Dilations are not isometries as the figure's size changes.

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