1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oduvanchick [21]
3 years ago
6

I have problems with this question. Can someone walk me through?

Mathematics
1 answer:
Aloiza [94]3 years ago
8 0

Answer:

1) x= 111

2) x= 62

3) x= 55

4) Q= 93 degrees.

Step-by-step explanation:

First, let's focus on the first triangle image. The first thing to do here is to find the missing degree of the triangle, this will help us find out what x is.

Step 1- Make an equation.

A triangle equals a total of 180 degrees, and we already have 2 given.

So, the equation would be: 75+36+y= 180 (y represents the missing angle).

Step 2- Simplify the equation(Add).

(75+36)+y= 180

111+y= 180

Step 3- Subtract 111 to both sides.

111+y= 180

-111     -111

y= 69

So, here we now know the missing degree of the triangle. Now to find the angle measure of the additional line to the triangle.

Step 1- Make an equation.

A straight line equals 180 degrees. So, we know one of the degrees, now we need x. This gives us the equation of: 69+x= 180

Step 2- Subtract 69 to both sides.

69+x= 180

-69       -69

x= 111

For the second image, this is a parallel line with an intersecting line. The angles here are supplementary angles. They sum up to 180 degrees.

Step 1- Make an equation.

The equation here would be: 118+x= 180

Step 2- Subtract 118 to both sides.

118+x= 180

-118      -118

x= 62

For the third image, we also have parallel lines with an intersecting line. The angles here also sum up to 180 degrees. Since the vertical line is a straight line, a straight line sums up to 180 degrees.

Step 1- Make an equation.

The equation here would be: 125+x= 180.

Step 2- Subtract 125 to both sides.

125+x= 180

-125      -125

x= 55

For the final image we have a triangle. Now remember that a triangle sums up to 180 degrees.

Step 1- Make an equation.

The equation here would be: 36+51+x= 180

(x represents the missing degree)

Step 2- Simplify the equation(Add).

(36+51)+x= 180

87+x= 180

Step 3- Subtract 87 to both sides.

87+x= 180

-87       -87

x= 93

Hope this helps!! The rest of the choices are false btw. :)

You might be interested in
On Monday, the ABC Company stock was at $12.80 per share. On Tuesday it gained $3.42, and then lost $9.70 on Wednesday. What is
solong [7]

Answer:

Step-by-step explanation:

12.80+3.42= 16.22

16.22-9.70= 6.52 that's your answer

6 0
3 years ago
Quien quiere ser mi amigo por favor ?<br><br> Cuantos es 5+5
liubo4ka [24]
5+5= 10
por que 5 +5 es diez
7 0
3 years ago
Read 2 more answers
What is the probability of
Mama L [17]

Answer:

50% Red, 50% Black

Hope this helps:)

Step-by-step explanation:

5 0
3 years ago
Look at picture<br><br> skjdnisujwndijbd
brilliants [131]

skjdnisujwndijbd

2.5 hours

4 0
3 years ago
Listed below are the numbers of heroic firefighters who lost their lives in the United States each year while fighting forest fi
Marysya12 [62]

Answer:

Step-by-step explanation:

Hello!

Data

Year/Firefighters

2000: 20

2001: 18

2002: 23

2003: 30

2004: 20

2005: 12

2006: 24

2007: 9

2008: 25

2009: 15

2010: 8

2011: 11

2012: 15

2013: 34

<u>Common measures of variation</u>

<u>Variance</u>

S²= \frac{1}{n-1}[sumX^2-\frac{(sumX)^2}{n} ]

∑X= 20 + 18 + 23 + 30 + 20 + 12 + 24 + 9 + 25 + 15 + 8 + 11 + 15 + 34

∑X= 264

∑X²= 20² + 18² + 23² + 30² + 20² + 12² + 24² + 9² + 25² + 15² + 8² + 11² + 15² + 34²

∑X²= 5770

n= 14

S²= \frac{1}{13}[5770-\frac{(264)^2}{14} ]

S²= 60.90

<u>Standard deviation</u>

The standard deviation is the square root of the variance

S= √S²= √60.90= 7.80

<u>Coefficient of variation</u>

Is a relative standard deviation, it is defined as the division of the standard deviation (S) by the mean (X[bar)]. It has not units and is usually expressed in percentage. It shows the variability in relation to the mean.

C.V.= \frac{S}{X[bar]}*100 = \frac{7.80}{18.86}*100= 41.36%

The mean or average is a measurement of position and gives you an idea of the central value of the distribution of the data.

X[bar]= ∑X/n= 264/14= 18.86

<u>Range</u>

In the interval between the max and min values. It allows you to have an idea of the dispersion of the values.

R= Xmax - Xmin= 34 - 8= 26

Xmax= 34

Xmin= 8

<u>Inter Quartile Range</u>

Is the difference between Quantile 1 (C₁) and Quantile 3 (C₃). It shows the 50% mid values of the sample.

IQR= C₃ - C₁= 23.5 - 11.5 = 12

Quantile 1 (C₁) is the value that leaves 25% of the sample below and 75% of the sample above.

Pos1: n/4= 14/4= 3.5

The first quantile is the number between position 3 and position 4

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₁= (11+12)/2= 11.5

Quantile 3 (C₃) is the value that leaves 75% of the sample below and 25% of the sample above.

Pos3: n*3/4= 14*3/4= 10.5

The third Quantile is between position 10 and 11

8, 9, 11, 12, 15, 15, 18, 20, 20, 23, 24, 25, 30, 34

C₃= (23+24)/2= 23.5

The measurements of variation don't allow you to know the origin of the data, that it is from consecutive years.

I hope it helps!

6 0
2 years ago
Other questions:
  • What is the solution to this system of equations? 3x + y = 17 x + 2y = 49
    12·1 answer
  • The graph of which of the following will be parallel to the graph of y = 2x – 4?
    9·2 answers
  • A football is kicked and follows the path of a parabola for 8 seconds until it lands.At which time would the football's height b
    11·1 answer
  • If you can solve this problem I will give u all the points don't answer right I will report it and u will not get any of the poi
    10·2 answers
  • What is 11 = (-t/11)
    6·2 answers
  • Can someone tell me What is 10% of 20
    9·1 answer
  • What is the volume and surface area?
    15·2 answers
  • Circumfrence of circle with radius of 32in
    10·1 answer
  • HEELLLLLPPPPPPPP PLLLSSSS THIS ISS TIMMMEEEEDDDDD
    7·1 answer
  • A bathtub can hold up to 70 gallons of water. The bath tub drains at a constant rate. when you first see the bath tub, it has 42
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!