Types of Angle Relationships
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If two angles are supplementary, then the sum of their measures is _[blank] degrees.
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Types Of Angle RelationshipsListenQuestionIf Two Angles Are Supplementary, Then The Sum Of Their Measures

Answers

Answer 1

Answer: The answer is 180°.

Explanation: Two angles are called supplementary when their measures add up to 180 degrees, therefore the answer is 180 degrees.


Related Questions

The increased availability of light materials with high strength has revolutionized the design and manufacture of golf clubs, particularly drivers. One measure of drivers that result in much longer tee shots is known as the coefficient of restitution of the club. An experiment was performed in which 15 drivers produced by a particular club maker were selected at random and their coefficients of restitution measured. It is of interest to determine if there is evidence to support a claim that the mean coefficient of restitution exceeds 0.82. Assume values to be normally distributed. The following observations were obtained for the 15 drivers:
0.8411 0.8191 0.8182 0.8125 0.8750
0.8580 0.8532 0.8483 0.8272 0.7983
0.8042 0.8730 0.8282 0.8359 0.8660
Conduct the test using a significance level of 0.05.

Answers

Answer:

WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82

Step-by-step explanation:

This is a one sample t test :

The hypothesis :

H0 : μ = 0.82

H0 : μ > 0.82

Given the sample data:

0.8411 0.8191 0.8182 0.8125 0.8750

0.8580 0.8532 0.8483 0.8272 0.7983

0.8042 0.8730 0.8282 0.8359 0.8660

Sample size, n = 15

Sample mean = ΣX / n = 0.837

Sample standard deviation, s = 0.0246 (from calculator)

The test statistic :

T = (xbar - μ) ÷ (s/√(n))

T = (0.837 - 0.82) ÷ (0.0246/√(15))

T = 2.676

The critical value at α = 0.05

df = n - 1 ; 15 - 1 = 14

Tcritical(0.05, 14) = 1.761

Reject H0 if Test statistic > Tcritical

Since, 2.676 > 1.761 ; WE reject the Null and conclude that the mean coefficient of restitution exceeds 0.82

Issac put $5 in a shoe box every day for the months of april, may, and june. He then spent 75% of the money on baseball cards. How much money is left in his shoe box.

Answers

As of 2021:
April-$150
May-$155
June-$150
Total-$455
Spent 75%=455/100x75
=341.25
455-341.25=$113.75
Round off to 3sf: $114
Have a good day

Intelligence quotients (IQs) on the Stanford-Binet intelligence test are normally distributed with a mean of 100 and a standard deviation of 16.

Use the 68-95-99.7

Rule to find the percentage of people with IQs between 84 and 116.

Answers

Answer:

Approximately 68% of people have IQs between 84 and 116.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 100, standard deviation of 16.

Percentage of people with IQs between 84 and 116.

84 = 100 - 16

116 = 100 + 16

So within 1 standard deviation of the mean, which, by the Empirical Rule, is approximately 68%.

Matt and his siblings bought their mom her favorite perfume for her birthday. They gave the cashier $80. The cashier gave them back 1 ten-dollar bill, 1 five-dollar bill, 8 dimes, and 1 nickel as change. How much did the perfume cost?

Answers

Answer:

$64.15

Step-by-step explanation:

to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.

it is given that:

they gave the cashier $80.

the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)

$10+$5+$0.80+$0.05=$15.85

the total amount of money that the cashier gave them back is $15.85

to find how much the perfume cost:

$80-$15.85=$64.15

so, the perfume cost $64.15

A 13-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 8 feet per second, at what rate is the area of the triangle formed by the wall, the ground, and the ladder changing, in square feet per second, at the instant the bottom of the ladder is 12 feet from the wall?

Answers

Answer:

[tex]\frac{da}{dt}=-95.2m/s^2[/tex]

Step-by-step explanation:

From the question we are told that:

Slant height [tex]h=13ft[/tex]

Velocity [tex]v=\frac{dx}{dt}=8[/tex]

Distance [tex]d=12ft[/tex]

Generally the equation for area is mathematically given by

[tex]A=0.5*x*sqrt(169 - x^2)[/tex]

Differentiating

[tex]\frac{da}{dx}=\frac{169-2 x^2}{(2 sqrt(169-x^2))}[/tex]

Multiplying through by dx/dt

[tex]\frac{da}{dx}*\frac{dx}{dt}=\frac{169-2 x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]

[tex]\frac{da}{dt}=\frac{169-2x^2}{(2 \sqrt{169-x^2})}*\frac{dx}{dt}[/tex]

[tex]\frac{da}{dt}=\frac{169-(2*12^{2})}{2*\sqrt{(169-12^{2})}}*8[/tex]

[tex]\frac{da}{dt}=-95.2m/s^2[/tex]

If the volume of the expanding cube is increasing at the rate 24 cm3 / min , how fast is its surface area increasing when the surface area is 216 cm2 ?​

Answers

Answer:

16 cm^2/min

Step-by-step explanation:

dV/dt=24

V=a^3, differentiate with respect to t

dV/dt=3a^2*da/dt, a^2*da/dt=8

S=6a^2, 216=6a^2. a=6. da/dt=(8/36)

dS/dt=12*a*da/dt=12*(8/6)=16 cm^2/min

Can someone help me out plz

Answers

Volume = πr²h

Radius = 3yd

Height = 12yd

Take π = 22/7

Volume = 22/7×3×3×12

= 2376/7

= 339.4285714yd³

Rounding off to nearest tenth

= 339.43yd³

Answered by Gauthmath must click thanks and mark brainliest

What does -3/8 > -1 indicate about the positions of -3/8 and -1 on the number line?!

Answers

Answer:

-3/8 is located on the right of -1

Step-by-step explanation:

-3/8 is left of -1 because -3/8 is larger than -1.

Suppose you work for a political organization and you are interested in hearing how the residents of New York State feel about a particular issue. You are asked to create a sample of at least 10000 residents using a CLUSTER methodolgy. Explain how you could create this sample of New York State residents?

Answers

Since the state is broken up into counties, and each county subdivided into precincts, this provides a natural way to form cluster samples.

If the precinct populations are too large, then you can further subdivide based on household or building residence. In other words, you can randomly select a building and consider that a separate cluster. All residents of that building would be part of the cluster.

In cluster sampling, the idea is that whichever clusters you select, you survey every person who resides in that cluster. So naturally you need to be careful not to go overboard.

P (6,0) under the translation (x-6, y-1)

Answers

Answer:

(0,-1)

Step-by-step explanation:

(6-6,0-1)

or, (0,-1)

Side XY of triangle XYZ is extended to point W, creating a linear pair with ∠WYZ and ∠XYZ.

Triangle X Y Z. Point W extends from side X Y. Angle Z is 36 degrees, angle Y is x degrees, and exterior angle W Y Z is 100 degrees.

What is the value of x?

Answers

Answer:

[tex]x= 80^o[/tex]

Step-by-step explanation:

Given

[tex]\angle Z = 36^o[/tex]

[tex]\angle WYZ = 100^o[/tex]

Required

Find x

[tex]\angle WYZ[/tex] and x are on a straight line.

So:

[tex]\angle WYZ + x= 180^o[/tex]

Make x the subject

[tex]x= 180^o -\angle WYZ[/tex]

Substitute known value

[tex]x= 180^o -100^o[/tex]

[tex]x= 80^o[/tex]

Answer:

80 is correct

Step-by-step explanation:

A credit card advertises an annual interest rate of 23%.
What is the equivalent monthly interest rate?

Answers

Given:

A credit card advertises an annual interest rate of 23%.

To find:

The equivalent monthly interest rate.

Solution:

We know that,

1 year = 12 months

It is given that, the credit card advertises an annual interest rate of 23%. So, the equivalent monthly interest rate is:

[tex]\dfrac{23\%}{12}=1\dfrac{11}{12}\%[/tex]

[tex]\dfrac{23\%}{12}\approx 1.9167\%[/tex]

Therefore, the equivalent monthly interest rate is [tex]1\dfrac{11}{12}\%[/tex] and the approximate equivalent monthly interest rate is 1.9167%.

A plot of land in the shape of a horizontal ellipse has a pole at each focus. The foci are 16 feet from the center. If the plot of land is 40 feet across one axis, how long is it across the other axis?

a. 34 feet
b. 46 feet
c. 24 feet
d. 30 feet

Answers

Answer: 24 feet

Step-by-step explanation: i just guessed it on pluto and got it right. please leave a like if it worked

The length of another axis for the given ellipse will be around 25.6125 feet so none of the options will be correct.

What is an ellipse?

a regular oval form produced when a cone is cut by an oblique plane that does not intersect the base, or when a point moves in a plane so that the sum of its distances from two other points remains constant.

In another word, an ellipse is a curve that becomes by a point moving in such a way that the sum of its distances from two fixed points is a closed planar curve produced.

General equation of an ellipse

(x 2 / a 2 )+ (y2 / b 2 )= 1

Given that

the plot of land is 40 feet across one axis

so  2a = 40 feet

a = 20 feet

The foci are 16 feet from the center so

c = 16

Now we know that

c = √(b² - a²)  

c² = b² - a²

16² = b² - 20²

b = 25.6125  

So, the length of the minor axis will be around 25.6125 feet.

To learn more about ellipse,

https://brainly.com/question/14281133

#SPJ2

Casey's phone service charges a flat monthly fee of $30 for the first 1000 minutes of calls and $0.40 per minute over 1000. Determine Casey's monthly charge if he makes 1,100 minutes of calls?

Answers

Answer:

Casey's monthly charge for making 1,100 minutes of calls is $70.

Step-by-step explanation:

We can write a piecewise function to model the situation.

Since Casey's phone service only charges a monthly fee of $30 for the first 1000 minutes, we can write that for calling t minutes:

[tex]\displaystyle C(t) = 30\text{ if } t\leq 1000[/tex]

In other words, the total cost is only $30 is the total minutes of call is less than  1000 minutes.

However, if the total minutes of calls is greater than 1000, then its $0.40 per minute on top of the 30. Thus:

[tex]\displaystyle C(t) = 30 + 0.4(t-1000)\text{ if } t>1000[/tex]

All together, our piecewise function will be:

[tex]\displaystyle C(t) = \begin{cases} 30 & t\leq 1000 \\ 30 + 0.4(t-1000) & t>1000\end{cases}[/tex]

We want to determine Caseys monthly charge if he makes 1,100 minutes of calls. So, t = 1100. Since 1100 > 1000, we will use the second equation. This yields:

[tex]C(1100)= 30+0.4((1100)-1000)[/tex]

Evaluate:

[tex]\displaystyle C(1100) = 30+0.4(100) = 30+40=\$70[/tex]

Casey's monthly charge for using 1,100 minutes of call is $70.


A building security code has 2 numeric
digits, O through 9, followed by 2 letters.
What is the probability that the first digit
is 9 and the last letter is A?

Answers

Answer:

Step-by-step explanation:

First number is 1/10

Last letter is 1/26

The second digit is 1/9

The first letter is 1/25

1/10 * 1/26 * 1/9 * 1/25

0.00001709

This assumes no duplication is allowed,

If there are duplications

then 1/10 * 1/10 * 1/26 * 1/26

0.000014782

please help solve for y!

Answers

As both angles are supplementary

[tex]\\ \Large\sf\longmapsto 3x+(2x+3y)=180°[/tex]

[tex]\\ \Large\sf\longmapsto 3x+2x+3y=180[/tex]

[tex]\\ \Large\sf\longmapsto 5x+3y=180[/tex]

[tex]\\ \Large\sf\longmapsto 3y=180-5x[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5x}{3}[/tex]

And

[tex]\\ \Large\sf\longmapsto 3x=90[/tex]

[tex]\\ \Large\sf\longmapsto x=\dfrac{90}{3}[/tex]

[tex]\\ \Large\sf\longmapsto x=30[/tex]

Now

Putting value

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5x}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-5(30)}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{180-150}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=\dfrac{30}{3}[/tex]

[tex]\\ \Large\sf\longmapsto y=10[/tex]

The graph of a linear function is given below. What is the zero of the function?

Answers

Answer:

Need to see the problem, but the "zero of the function" is the x value when y=0.

Substitute '0' for y.

Solve for x

Answer: D

Step-by-step explanation:

The difference of a number and its opposite is 28. Find
the number.

Answers

The difference of a number and it’s opposite is 28. Find

the number.

Answer:14

Step-by-step explanation:

Lets break this word problem down:

"The difference" means we're going to be finding x - y ("difference" means we're finding how much one value "differs" from the other)

"a number and it's opposite" so we're doing x - y, where y = -x. So already, we can re-write this as x - (-x) or x + x

"is 28" so x + x = 28 ("is" always means "equals")

"Find the number" so we're finding x.

x - (-x) = 28  (I went back a step so I could write everything out more plainly)

simplify

x + x = 28

add

2x = 28

divide both sides by 2 to get x on its own

x = 14

Answer:

14

A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches, what is the volume of air inside the cube? (Round to the nearest tenth.)


1357.1 cubic inches
1244.1 cubic inches
1887.4 cubic inches
1226.0 cubic inches

Answers

The volume of air inside the cube is 1887.4 cubic inches. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A ball inside of a cube has a volume of 113 cubic inches. If each side of the cube measures 12.6 inches.

Then the volume of air inside the cube will be given as the difference between the volume of the cube and the sphere.

Air volume = Volume of the cube - Volume of the sphere

Air volume = 12.6³ - 113

Air volume = 2000.376 - 113

Air volume = 1887.376

Air volume ≅ 1,887.4

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

1887.4 cubic inches

Step-by-step explanation:

what should be the rate of simpe interest such that the interest is double of the sun at 10 years​

Answers

Answer:

you never showed the chocies

Step-by-step explanation:

s A lottery offers one 800 prize, one 700 Prize, two 800 prizes, and four prizes. One thousand tickets are sold at each. Find the expectation if a person buys two tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Answers

The question is incomplete. The complete question is :

A lottery offers one $800 prize, one $700 Prize, two $800 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys two tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

The expected if a person buys two tickets is $__

Answer:

$ -1.52

Step-by-step explanation:

Given :

A lottery offers --

One $800 prize

One $700 prize

Two $800 prize

Four $100 prizes

Let X = net win

    X          P(X)

  795      1/1000

  695      1/1000

  795      2/1000

   95      4/1000

    -5     996/1000

[tex]$E(X) = \sum X \ p(X)$[/tex]

         [tex]$=795 \times \frac{1}{1000} + 695 \times \frac{1}{1000} + 795 \times \frac{2}{1000} + 95 \times \frac{4}{1000} + (-5) \times \frac{996}{1000}$[/tex]

         = 0.795 + 0.695 + 1.59 +  0.38 - 4.98

         = $ -1.52


What is the remainder when x2+ 3 is divided by x - 1?

Answers

Answer:

Step-by-step explan

I need help on this plzzz I and not the best at math ​

Answers

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]f(x) = \left[\begin{array}{cc}-1&x<-1\\0&-1\le x \le -1\\1&x>1\end{array}\right[/tex]

Required

The graph of the step function

Before plotting the graph, it should be noted that:

[tex]\le[/tex] and [tex]\ge[/tex] use closed circle at its end

[tex]<[/tex] and [tex]>[/tex] use open circle at its end

So, we have:

[tex]f(x) = -1,\ \ \ \ x < -1[/tex]

The line stops at -1 with an open circle      

[tex]f(x) = 0,\ \ \ \ -1 \le x \le 1[/tex]

The line starts at - 1 and stops at -1 with a closed circle at both ends

[tex]f(x) = 1,\ \ \ \ x > 1[/tex]

The line starts at 1 with an open circle

The options are not complete, so I will plot the graph myself.

See attachment for graph

An auto transport truck holds cars. A car dealer plans to bring in new cars in June and July. If an auto transport truck is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck?

Answers

Answer:

95 truckloads

Last truck = 10 cars

Step-by-step explanation:

Capacity of auto truck = 12 cars

Total number of cars to be brought in = 1150

The number of truckloads required :

Total number of cars to be brought in / capacity of auto truck

Number of truckloads = 1150 / 12 = 95.83333

This means that the number of full truckloads required will be, the whole number = 95

The last truck won't be full and will contain :

1150 - (95 * 12)

1150 - 1140

= 10 cars

6v(2v + 3) 2) 7(−5v − 8)

Answers

Answer:

6v(2v+3)2)7(-5v-8)

6v+2v-5v+3+2-8

3v-3

If 12th term of an ap is -13 and sum of 1st four term is 24. What is the sum of first 20 terms

Answers

Answer:

-200

Step-by-step explanation:

ATQ, a+11d=-13 and a+a+d+a+2d+a+3d=24, 4a+6d=24. Solving this, we get a=9 and d=-2. Sum of the first 20 terms is 10*(18+(19)*(-2))=-200

Length of a line segment with endpoints (3,-2) and (-3,4).

Answers

Answer:

6squareroot2

Step-by-step explanation:

that's the answer I think

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. The article "Properties of Waste Silk Shod Fiber/Cellulose Green Composite Films" (. of Composite Materials, 2012: 123-127) reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.3 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value?

Answers

Complete Question

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.1 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use α = 0.05.)  

t=8.169  

P-value= ?

Answer:

a)  [tex]P-value=0[/tex]

b)  Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/  cellulose composite exceeds 48 MPa.

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=10[/tex]

Mean [tex]\=x= 51.3[/tex]

Standard deviation [tex]\sigma=1.2[/tex]

Significance level is taken as [tex]\alpha=0.05[/tex]

t test statistics

[tex]t=8.169[/tex]

Therefore

[tex]P-Value=P(t>8.169)[/tex]

Critical point

[tex]t_{\alpha,df}[/tex]

[tex]\alpha=0.05[/tex]

[tex]df=10-1=>9[/tex]

Therefore

P-value from T distribution table

[tex]P-value=0[/tex]

Conclusion

[tex]P-value (0)< \alpha(0.05)[/tex]

We Reject the Null Hypothesis [tex]H_0[/tex]

Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/  cellulose composite exceeds 48 MPa.

A line passes through the point (-4, -6) and has a slop of 5. Write an equation for this line.

Answers

The answer is y=5x+14 where 5 is the slope and 14 is the value of b in equation y=mx+c

The scatterplot shows the average miles per gallon versus the age, in years, of a car.


A graph titled Fuel efficiency has age (years) on the x-axis, and miles per gallon on the y-axis. Points are at (1, 25), (2, 32), (3, 26), (4, 23), (5, 19), (6, 16), (7, 17), (8, 14), (9, 13), (10, 10).


If age was on the vertical axis and miles per gallon on the horizontal axis, how would the correlation change? Select all statements that would apply to the new correlation coefficient.


The sign would be the opposite.

The sign would remain the same.

It would have the same value.

It would become closer to 0.

It would become closer to 1.

(2 and 3) B,C

Answers

Answer:

The sign would remain the same.

It would have the same value.

ED2021

Answer: b&c

The sign would remain the same.

It would have the same value.

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