3.) Find the measure of the missing angle X:

120°
70°

3.) Find The Measure Of The Missing Angle X:X12070

Answers

Answer 1

Answer:

x=50

Step-by-step explanation:

Let's look at the red angle. if a flat line makes the angle 180, and the outer angle is 120, subtract 120 from 180. This will give you 60. Now every angle of a triangle added together will give you the sum of 180. So you already have 60 and 70, which make 130 all together. Subract 130 from 180 - (180-130) - and you'll get the result of 50.

Answer 2

The solution is :  the measure of the missing angle X is x=50.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Let's look at the red angle.

if a flat line makes the angle 180, and the outer angle is 120,

subtract 120 from 180.

This will give you 60.

Now every angle of a triangle added together will give you the sum of 180.

So you already have 60 and 70,

which make 130 all together.

Subtract 130 from 180

i.e. (180-130) = 50

and we get the result of 50.

Hence, The solution is :  the measure of the missing angle X is x=50.

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Related Questions

A basketball team received a care package and split it evenly among
5 players. If each player received 9 candy bars, how many candy bars
were in the care package?

Help please

Answers

Answer:

45

Step-by-step explanation:

9x5

I need help on this question 5=7+x/5

Answers

Answer:

-10 = x

Step-by-step explanation:

5=7+x/5

Subtract 7 from each side

5-7=7-7+x/5

-2 = x/5

Multiply each side by 5

-2 *5 = x/5 *5

-10 = x

Answer:

x = 28

Step-by-step explanation:

7 + x/5 = 7

We have to get a value of x that adds to 7 and forms a improper fraction equivalent to 7

Basically 35/5 = 7

so 35 - 7 = 28

x = 28

Solve the inequality 12(1/2 x - 1/3) > 8 - 2x

O A. x>-1
O B. x > 3
O C. X>1/2
O D. x>3/2

Answers

Answer:

[tex]D. \\x>\frac{3}{2}[/tex]

Step-by-step explanation:

12(1/2x - 1/3) > 8 - 2x

6x - 4 > 8 - 2x

6x + 2x - 4 > 8 - 2x + 2x

8x - 4 > 8

8x - 4 + 4 > 8 + 4

8x > 12

8x ÷ 8 > 12 ÷ 8

x  > 1.5

2.The school chess club is selling T-shirts for a profit of $4 each and baseball caps for a profit of $5 eac The club wants to sell 50 items and make a profit of $230. Calculate how many of each item the chess club needs

Answers

Step-by-step explanation

They sold $480 of tshirts, the ratio is 480;20, simplified to 24:1.

One shirt is $20, but $4 is the amount taken from 20 for the equipment.

Multiply $24 by the $4 taken for the equipment. (Equals $96)

They make 4/20 (1/5) of the the sales as a profit for equipment.

Multiply 1/5 by 480 and you will get $96 as the club's profits.

I hope this helped ya

The chess club needs 20 T-shirts and 30 baseball caps.

What is Profit?

Profit is a term that often refers to the financial gain that a company receives when revenue exceeds costs and expenses. A child at a lemonade stand, for example, spends one quarter to make one cup of lemonade. She then charges $2 for the drink. Her profit on a cup of lemonade is $1.75.

Given :

Total no. of items to be sold = 50

Total profit to be made = $230

Profit on each T-shirt = $4

Profit on each Baseball cap = $5

Let no. of t-shirts be x

Let no. of t-shirts be y

Forming equations according to given problem :

Eq 1 : x + y = 50

Eq 2 : 4x + 5y = 230

Multiplying Eq 1 with 4 we get : 4x + 4y = 200

Subtracting Eq 1 from Eq 2

Solving Eq1 and Eq2 we get x = 20 and y = 30.

Therefore, The chess club needs 20 T- shirts and 30 baseball caps.

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The battery standby duration (in hours) of a new model of cell phone is known to be normally distributed. Ten pieces of such new model of cell phone supplied from the manufacturer are randomly chosen and the actual standby durations are recorded as below:

48.2 47.8 45.6 47.2 49.3

51.2 44.2 45.4 49.2 43.6

(a) Calculate the unbiased estimates of population mean and standard deviation of battery standby duration (in hours) of the new cell phone.

Answers

Answer:

[tex]\mu = 47.17[/tex]

[tex]\sigma = 2.31[/tex]

Step-by-step explanation:

Solving (a): The population mean

This is calculated as:

[tex]\mu = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\mu = \frac{48.2+ 47.8 +45.6 +47.2 +49.3+51.2 +44.2 +45.4 +49.2 +43.6}{10}[/tex]

[tex]\mu = \frac{471.7}{10}[/tex]

[tex]\mu = 47.17[/tex]

Solving (b): The population standard deviation

This is calculated as:

[tex]\sigma = \sqrt{\frac{\sum (x - \mu)^2}{n}}[/tex]

So, we have:

[tex]\sigma = \sqrt{\frac{(48.2-47.17)^2 + (47.8-47.17)^2 +.........+(43.6-47.17)^2}{10}}[/tex]

[tex]\sigma = \sqrt{\frac{53.521}{10}}[/tex]

[tex]\sigma = \sqrt{5.3521[/tex]

[tex]\sigma = 2.31[/tex]

Express 0.00506 in standard form​

Answers

Answer:

[tex]5.06 x 10^{-3}[/tex]

Step-by-step explanation:

Move decimal 3 place to right.

Because the decimal was moved to right, the exponent is negative.

If there were 36 candies and only 12 children, how many candies would each child get?

Answers

Answer:

3 each

Step-by-step explanation:

36 / 12 = 3

.................................................

each would get 3 pieces

The formula for the force between two objects is
F=GMm/r^2
,

where M and m are the masses of the two objects, G is a constant, and r is the distance between them. Solve the formula for G.

Here are the multiple-choice answers...

Answers

Answer:

G = Fr² / Mm

Step-by-step explanation:

Given:

F = GMm / r²

Where,

F = Force of the two objects

M = mass of object 1

m = mass of object 2

G = constant

r = distance between the objects

Solve the formula for G.

F = GMm / r²

Cross product

F * r² = GMm

Fr² = GMm

Divide both sides by Mm

G = Fr² / Mm

If today is Tuesday, May 6, this year July 4 will fall on a _____
(A) Sunday
(B) Monday
(C) Thursday
(D) Friday

Answers

Answer:

July 4th will fall on Sunday

The date, July 4 will be Friday, the correct option is D.

What are Calendars?

Calendars represent an year of 12 months, each month has 30 or 31 days, exceptionally February has 28 days.

If today is Tuesday, May 6,

Every 7th day is going to be a Tuesday .

From May 6 to July 4, the number of days is 59

Hence we divide 59 by 7. Quotient = 8 Remainder = 3

7 x 8 = 56

56 th day is Tuesday

57 th day is Wednesday

58th day vis Thursday

59th day is Friday

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4x-2y=10
y=-2x-5

A.(-1,-3)
B.(-1,-6)
C.(3,1)
D.(-3,-1)

Answers

Answer:

D.-3,-1 for 4x-2y=10 y=2x-5

In a triangle ABC, angle BAC = 53° and angle ACB = 28°. If AB is produced to D, find angle CBD.​

Answers

Angle CBD= 81°

I hope it helps you...

Answer:

81

Step-by-step explanation:

∠CBD is the exterior angle of  the ΔABC.

Exterior angle property:

Exterior angle equals the sum of opposite interior angles.

∠CBD = ∠ABC + ∠ACB

           = 53 + 28

           = 81°

Do you remember how to solve a multistep linear equation with variables on both sides? Review with a Quick Check.

Solve:
5(a−1)−15=3(a+2)+4

Answers

Answer:

Step-by-step explanation:

5(a-1) -15 = 3(a+2) +4, distribute multiplication over subtraction and addition

5a -5 -15 = 3a +6 + 4, isolate the variable on one side

5a -3a = 6 +4 +5 +15, combine like terms

2a = 30, divide both sides by 2

a= 15

PLEASE HELP ME! I REALLY NEED HELP

Answers

Answer:

a)

(i) 5.8 hours

(ii)  6.5 hours

(iii) 6 hours

(iv) 6 hours

b) 180 hours

Final
Lines L and M are parallel.
34
2/5
16
38° 7
-L
>M
Find : m_6
Cotor the

Answers

Answer:

38

Step-by-step explanation:

Angle 6 is alternate to the angle that is given as 38 degrees because line L is parallel to line M so their measure is equal.

What is the length of BC? Round to the nearest tenth.

Answers

Answer:

BC ≈ 14.5 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin65° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{BC}{16}[/tex] ( multiply both sides by 16 )

16 × sin65° = BC , then

BC ≈ 14.5 cm ( to the nearest tenth )

the graph of a linear function is given below

Answers

Answer:

The "zero" is where it crosses the x axis which is -2 in this graph

Step-by-step explanation:

Can someone explain and give an example of spurious correlation?

Answers

Answer:

A spurious correlation wrongly implies a cause and effect between two variables. For example, the number of astronauts dying in spacecraft is directly correlated to seatbelt use in cars: Use your seatbelt and save an astronaut life!

Interesting correlations are easy to find, but many will turn out to be spurious. Three examples are the skirt length theory, the Super Bowl indicator, and a suggested correlation between race and college completion rates.

Step-by-step explanation:

Help Please!!!
Find volume of the sphere

Answers

Answer:

Step-by-step explanation:

Hey GurpTheDestoyer! Find the volume of the sphere. Round to the nearest whole number. Radius= 8 what is the volume? The Volume = 2,144.660585 cm3. Hope this helped! <3

In an A.P the term is -10 and the 15th term is 11 and the last term is 41. Find the sum of all terms in this progression.​

Answers

Answer:  542.5

This is equivalent to the fraction 1085/2

===============================================================

Explanation:

AP stands for "arithmetic progression", which is another name for "arithmetic sequence"

a1 = -10 is the first term

the 15th term happens when n = 15, so

an = a1 + d*(n-1)

a15 = -10 + d(15-1)

a15 = 14d-10

Set this equal to 11 (the stated 15th term) and solve for d

a15 = 11

14d-10 = 11

14d = 11+10

14d = 21

d = 21/14

d = 3/2

d = 1.5 is the common difference

Let's find the nth term

an = a1 + d(n-1)

an = -10 + 1.5(n-1)

an = -10 + 1.5n - 1.5

an = 1.5n - 11.5

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

The last term is 41, so we'll replace the 'an' with that and solve for n

an = 1.5n - 11.5

41 = 1.5n - 11.5

41+11.5 = 1.5n

52.5 = 1.5n

1.5n = 52.5

n = (52.5)/(1.5)

n = 35

So the 35th term is 41.

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

We're summing n = 35 terms from a1 = -10 to an = 41

S = sum of the first n terms of arithmetic progression

S = (n/2)*(a1 + an)

S = (35/2)*(-10+41)

S = 542.5

The 35 terms add up to 542.5 which is the final answer

As an improper fraction, this converts to 1085/2

Can someone please just help me fill in those three boxes I’ve been struggling

Answers

7+ square root of 143 = 18.96 and 7- square root of 143 = -4.96

I also believe that 18.96 also makes sense for the last blank because the question makes it seem like it has to be a positive number.

Solve the following system of equations by graphing. Label the solution and all intercepts.
4x-2y=8
y=1/2x+2
Please show me also how to graph it. Thanks a ton!

Answers

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

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

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

Answer:

see graph  (4,4)

to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)

do for both points , and draw al LINE between them...

repeat fore the second equation... the "solution" is where the two lines cross

Step-by-step explanation:

Can someone help me with this task please? !!

Answers

Answer:

we need to get your brain thinking in this way. that you begin to understand how to do these things.

airways to say that your brain is not working that way, is not a valid excuse. we need to change that. your brain needs to get used to this way of thinking.

so, please, please, PLEASE go through the explanations below and tell me, where exactly in these explanations you stopped understanding what I was saying. so that I can better explain to you what is happening.

1. (0, -2)

2. 4

3. a geometric sequence. the common ratio is -2.0

4. the third option

5. the fourth option

Step-by-step explanation:

1. as x increases, y decreases. until, suddenly after x=0, this tendency reverses, and with increasing x also y increases. so, this is a turning point.

2. look at the line. it only starts with x>0 (it looks like x is around 1).

"input" is all the values of x the function has a defined result for (y = result values).

so, as there is no line for negative x, we can eliminate the first 2 answers.

x=0 is no valid answer either (as mentioned above, the line only starts well after x=0).

in the answer options the only x value having an y value above or below this x value is x=4.

3. look at the difference between 2 numbers next to each other in the sequence.

2.4 to -4.8

-4.8 to 9.6

and so on.

what do we need to do to get from the left to the right ?

we need to multiply by -2.

so, the relationship between "sequence item n" (an) to "sequence item n-1" (an-1) is a ratio, a multiplication factor :

an/an-1 = -2

4. it is completely simple. a function can be many things. on an x/y coordinate grid it can have gaps, it can have sharp direction changes,...

but there us one thing a function can never have : multiple different y values for one x value.

in the first graph x=2 has two different y values (-1 and -3). so, it is not clear what the result for x=2 would be. and that means, it is not a function.

in the second graph x=4 has two different y values.

in the third graph all is OK.

in the fourth graph x=-2 has two different y values.

so, only the third option is a function.

5. this function calculates the height of the thrown rock after t seconds of flight.

therefore, only the fourth answer makes sense.

Can someone help me with this math homework please!

Answers

The rate of change is 4 due to the fact that each increase is on the graph is by a factor of 4 cm and each horizontal increase is 1 week, therefore we can also conclude that the plant grows 4cm in 1 week

Therefore the correct answers are
- The rate of change is 4
- The plant grows 4cm in 1 week

limx²-9x+20
x->4 x-4?

Answers

Answer:

-1

Step-by-step explanation:

lim x tends to 4 (x^2-9x+20)/(x-4). (x^2-9x+20)(x-4)=x-5.

So the limit is 4-5=-1

Which equation represents a line which is perpendicular to the line y = -4x - 5
A) x + 4y = -32
B) 4x - y = -4
C) 4x + y = 3
D) 4y - x = 4

Answers

Answer: D) 4y-x=4

Explanation

To find an equation perpendicular to another, the product of the slopes of both equations must equal -1

In y= -4x-5, the slope is -4. To obtain a line perpendicular to this line, -4(x)= -1, where the slope of the new line, x, must equal 1/4.

D must be the answer since it is the only equation that could be manipulated back to y= 1/4x

1) 4y - x = 4
2) 4y = 4 + x
3) y = 1 + 1/4x

This corresponds correctly with the new slope that we found, therefore correct.

Hope this helped :)

2. What are the last 2 digits of 1 + 2 + 3 + + 2005 2006​

Answers

Let S be the sum. So you have

S = 1 + 2 + 3 + … + 2004 + 2005 + 2006

as well as

S = 2006 + 2005 + 2004 + … + 3 + 2 + 1

Then

2S = (1 + 2006) + (2 + 2005) + … + (2005 + 2) + (2006 + 1)

2S = 2007 + 2007 + … + 2007 + 2007

2S = 2006 × 2007

S = (2006 × 2007)/2

S = 2,013,021

which makes the last two digits 21.

I NEED JUSTIFICATION AND WORK ON PART A AND B
Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)


Part B: Which is the more reasonable measurement of the diameter of a human hair:

1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)

Answers

Answer:

6.045 * 10 ^40 ergs

1.8 * 10^-2 mm

Step-by-step explanation:

3.9 ⋅ 10^33 erg per second  * 1.55 * 10 ^7 seconds

3.9 * 1.55  * 10^(33+7)

6.045 * 10 ^40 ergs

Human hair is around .1 mm thick

.1  = 1 * 10 ^ -1

This is closer to 1.8 * 10^-2  

1.8 *10^2 = 180 mm which is too thick  This is approximately 18 cm

Answer:

6.045 * 10 ^40 ergs

1.8 * 10^-2 mm

Step-by-step explanation:

3.9 ⋅ 10^33 erg per second  * 1.55 * 10 ^7 seconds

3.9 * 1.55  * 10^(33+7)

6.045 * 10 ^40 ergs

Human hair is around .1 mm thick

.1  = 1 * 10 ^ -1

This is closer to 1.8 * 10^-2  

1.8 *10^2 = 180 mm which is too thick  This is approximately 18 cm

Step-by-step explanation:

Find the missing side lengths

Answers

Answer:

x = 11√3

y = 11

Step-by-step explanation:

Let 60 be the reference angle

sin 60 = p/h

√3/2 = x/22

or, 22√3 = 2x

or, x = (22√3)/2

so, x = 11√3

now

[tex]h^2 = p^2 + b^2\\or, 22^2 = (11\sqrt{3} )^2+y^2\\or, 484 = 363 + y^2\\or, 484-363 = y^2\\or, 121 = y^2\\or, \sqrt{121} = y\\so, y = 11[/tex]

A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What is the rectangle's length?​

Answers

Answer:

8 units

Step-by-step explanation:

Area of a rectangle = Width multiplied by Length

Substitute in all the known numbers into this formula to get

72 = (9) × [tex](2x+4)[/tex]

Solve the equation for x, to find out the length

[tex]9(2x+4)=72[/tex]

[tex]2x+4=72/9[/tex]

[tex]2x+4=8[/tex]

[tex]2x=8-4[/tex]

[tex]2x=4[/tex]

[tex]x=4/2[/tex]

[tex]x=2[/tex]

Length of the rectangle = [tex](2x+4)[/tex]

[tex]2(2)+4[/tex]

[tex]4+4=8[/tex]

If m ≠ 1 and mn - 3 = 3 - n , then what is the value of n?
A) 6/ m+1
B) 6/ m-1
C) 6/ m+n
D) 6/ m-n

Answers

[tex]n = \frac{6}{m + 1} [/tex]

Hope it helps you...

The value of n is n= 6/( m+1).

What is expression?

An expression is a set of terms combined using the operations +, – , x or , /.

Given:

mn - 3 = 3 - n

mn + n = 6

n(m+ 1) =6

n= 6/( m+1)

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