Answers
Answer:
113
Step-by-step explanation:
The supplement of angle 3 is congruent to 67, because they are corresponding angles. After you subtract the supplement from 180, you should get angle 3
180-67=113
Answer:
∠3 measures 113°
Step-by-step explanation:
These are consecutive interior angles. It's difficult to explain in words because none of the lines are marked in any way, but I marked the angles in the attached image. Because both downward facing lines are parallel, both sets of corresponding red and blue angles are congruent.
∠3 corresponds to the angle supplementary to the 67° angle. Supplementary angles add up to 180°, so ∠3 and 67° also have to add up to 180°. Hopefully my image makes that a little more clear.
[tex]x+67=180\\x=113[/tex]
∠3 measures 113°
Related Questions
Write the equation of the line perpendicular to y = 8 - 5z that contains the point (0, 0) . Fill in the slope and y-intercept
Answers
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
8y=-5x+16
y=-5/8x+2.
To be perpendicular, the slope has to be 8/5.
What is the slope-intercept form of the line?
The slope-intercept form is y=mx+c
Where m is the slope and c is the y-intercept.
So y=8/5x+b.
We can plug in the given coordinates to get
7=8/5*-5+b
7=-8+b
b=15.
So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15
5y=8x+75
5y-8x=75
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
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help me please I'm stuck on this question!!!!
Answers
Answer:
1: 2.8
Step-by-step explanation:
15:42
Divide each side by 15
15/15 : 42/15
1: 2.8
Ms. Jackson wants to rent a van for a week. It will cost the weekly fee plus $0.80 per mile driven. Let m = the number of miles Ms. Jackson drives during the week. Use this information and the table to answer 13-15.
Answers
3-8(1+8x)=-133
Solve for x
Answers
Answer:
x=2
Step-by-step explanation:
Expanding, we have 3 - 8-64x=-133.
Combining like terms, we have -5 - 64x=-133
Adding 5 to both sides, we have -64x= -128
Dividing by -64, we have x = 2
Quadratic functions 30pt
Answers
Answer:
y= -x -3
Step-by-step explanation:
A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).
Let's find the slope of the line segment.
\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2
Slope of line segment
= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)
= \frac{4 + 8}{5 + 7}=5+74+8
= \frac{12}{12}=1212
= 1
The product of the slopes of 2 perpendicular lines is -1.
Let the slope of the perpendicular bisector be m.
m(1)= -1
m= -1
y= -x +c
To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.
Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.
\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)
Midpoint of line segment
= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)
= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)
= (-1, -2)
y= -x +c
When x= -1, y= -2,
-2= -(-1) +c
-2= 1 +c
c= -2 -1
c= -3
Thus, the equation of the perpendicular bisector is y= -x -3.
A small tree was planted at a height of 5 feet. The tree has been planted for 16 months, and is now 48.2 feet tall. Which equation
could be used to find x, the average number of feet the tree grew each month?
Answers
Answer:
Use the equation for Average Rate of Change which will give you 2.7 feet per month
Step-by-step explanation:
The equation is:
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Now insert your values:
[tex]\frac{48.2-5}{16-0}[/tex]
The answer is: 2.7 feet per month
Step-by-step explanation:
how much did it grow per month ?
well, it grew from 5 to 48.2 ft in 16 months.
that means it grew 48.2 - 5 = 43.2 ft.
per month that is 43.2/16 = 2.6875 ft per month.
so, the equation would look like
x = (48.2 - 5)/16
A middle school had a school spirit day. In one class the ratio of students who wore school colors to the number of students who didn’t was 8 to 5. Ten students didn’t wear school colors
Answers
Answer:
Step-by-step explanation:
a sphere has a volume of 2,304 pi mm3. find the diameter of the sphere
Answers
Answer:
24
the formula of sphere is
[tex]v = \frac{4}{3} {r}^{3} [/tex]
Since we know the volume, and have to find the diameter (twice the radius), we need to determine the radius first.
Hence, using the given data:
[tex]2304\pi = \frac{4}{3} \pi {r}^{3} [/tex]
We can cancel
We can cancel π from each side.
[tex]2304 = \frac{4}{3} {r}^{3} [/tex]
Multiply both sides by
[tex] \frac{3}{4} [/tex]
hope I help you ☺️❤️
Simplify the expression 7h+(−8.3d)−13+6d−2.9h.
Answers
Answer:−2.3d+4.1h−13
Step-by-step explanation:
Find all real zeros of the function f(x)=2x(x-1)2(x-5)2
Answers
Jack has 8 out of 10 questions correct. He said that he earned a 75% on his exam. Is he correct? Show why he is correct or incorrect.
Answers
Answer:
He is incorrect. He actually got an 80%
Step-by-step explanation:
[tex]\frac{8}{10}[/tex] = 80%
I hope this helps!
squared root of -100 = ____ + ____^i
Answers
Step-by-step explanation:
thats way of multiplication not 56
Answer:
√−100 = 0 + 10 i
Step-by-step explanation:
Determine whether each graph shows a positive correlation, a negative
correlation, or no correlation. If there is a positive or negative correlation,
describe its meaning in the situation.
Answers
Answer:
Positive correlation.Step-by-step explanation:
From the graph we can see overall increasing trend.
It means there is a positive correlation.
The meaning of this is the more time you spend on study the better test score you get.
Answer:
Negative correlation
Step-by-step explanation:
As TV hours increase, exercise
hours decrease.
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after
w
w weeks
Answers
Answer:
A=15 inches. B=h=5+2.5w inches
Step-by-step explanation:
Our starting height is 5 inches.
It grew at a constant rate of 2.5 inches per week.
A. How tall after 4 weeks?
Well, we can solve by making an equation.
height=5inches+2.5(x)
In this situation, x is 4.
Height will be 15 inches.
B. This is just asking for the equation.
We already did that in part a!
We just need to switch x out with w.
h=5+2.5w
x(5)+2=244
help pls
(^_^)
Answers
Simplify both sides of the equation
5x+2=244Subtract 2 from both sides
5x+2−2=244−25x=242Divide both sides by 5
[tex] \frac{5x}{5} = \frac{242}{5} [/tex]
Answer[tex] \: x = \dfrac{242}{5} [/tex]
OR
[tex] \: x = 48.4 [/tex]
The solution to the given problem is:
48.4To find the value of x, one would have to spread out the terms.
5x+2 = 244
Then we would make x the subject formula
5x= 244-2
5x=242
Divide both sides by 5 (value of x)
x= 242/5
Therefore, the value of x is 48. 4
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Katrina was training for a race. The line plot below shows the number of miles Katrina ran last week.
3. How many times did Katrina run 1 mile?
Answers
Answer:
Katrina ran 1 mile 3 times! I hope this helps you!
I need help with this badly. It's geometry and angles.
Answers
Answer:
∠ C = 118°
Step-by-step explanation:
DE = DF , then Δ DEF is isosceles with base angles congruent , then
∠ DEF = ∠ DFE = [tex]\frac{180-56}{2}[/tex] = [tex]\frac{124}{2}[/tex] = 62°
∠ DFE and ∠ DFB are adjacent angles on a straight line and sum to 180° , so
∠ DFB = 180° - 62° = 118°
BCDF is a parallelogram ( opposite sides are parallel )
The opposite angles of a parallelogram are congruent , then
∠ C = ∠ DFB = 118°
Which function has a greater rate of change?
Answers
Answer:
A
Step-by-step explanation:
Because
Answer:
Step-by-step explanation:
it’s a
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows:
x 1 2 3 4
p(x) 0.4 0.3 0.2 0.1
Answers
The required linear equation representing the distribution is
p(x) = -0.1x + 0.5
From the table given, we can generate the equation for the distribution.
Expressing as a coordinate form (x, p(x)). We can use the coordinate points (1, 0.4) and (2, 0.3)
The linear expression will be in the form p(x) = mx + b
m is the rate of change:b is the interceptGete the rate of change:
m = 0.3-0.4/2-1
m = -0.1/1
m = -0.1
Get the intercept.
0.4 = -0.1(1) + b
0.4 = -0.1 + b
b = 0.4 + 0.1
b = 0.5
Hence the required linear equation representing the distribution is
p(x) = -0.1x + 0.5
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Integrate:Cos 7x/(1+sin**2(7x))
Answers
Answer:
7x/1+7sin(2)x
Step-by-step explanation:
Judith is getting older and feels like she should donate her collection of stuffed animals to children who are less fortunate. She has 16 stuffed cats and 8 stuffed dogs, which she wants to divide into identical groups, with no stuffed animals left over. What is the greatest number of groups Judith can place her stuffed animals into?
Answers
Answer:iojoenckcnurmum
Step-by-step explanation:
Answer as soon as possible I’ll give 5 stars!!!
Answers
Answer:
B
Step-by-step explanation:
2 times x is 2x
2*8=16
its B
Hey there!
2(x + 8)
DISTRIBUTE 2 WITHIN THE PARENTHESES
= 2(x) + 2(8)
= 2x + 16
Therefore, your answer should be: 2x + 16
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The length of a rectangle is 6 less than triple its width. If the perimeter is 84 feet, find the length and width of the rectangle.
Answers
Answer:
0.00714285 less per foot
Step-by-step explanation:
What’s the formula for the series -5,10,-20,40
Answers
Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:
[tex]\left \{ {{a_0=-5} \atop {a_{n+1}=-2a_n}} \right.[/tex]
Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
[tex]a_n=-5 (-2)^n[/tex]
Either work, depending on what you need to use it for.
Using your research, complete the graphic organizer below. Write 2–3 complete sentences for each
answer, and provide reasoning for your choices.
What resource would you use if you had any health-related questions or concerns?
What resource would you use if you needed health advice quickly?
Student Guide (continued)
Which resource do you think is the most useful and helpful?
Which resource do you think is the most credible?
Answers
Answer:
the discussion leader will moderate the discussion.
If a number has 8 as a factor, then both 2 and 4 are factors
Answers
What is the vertical shift for the absolute value function below. Explain how you know using complete sentences. Include the direction and number of units of the shift. f(x)=9|x+1|+2
Answers
The vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
The absolute function is given as:
[tex]f(x) = 9|x + 1| + 2[/tex]
An absolute function is represented as:
[tex]f(x) = a|x - h| + k[/tex]
Where k represents the vertical shift.
By comparison, the value of k is:
[tex]k = 2[/tex]
This means that the vertical shift is 2 units
Hence, the vertical shift of the function [tex]f(x) = 9|x + 1| + 2[/tex] is 2 units up
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What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Answers
Step-by-step explanation:
What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
Every Thursday, Matt and Dave's Video Venture has “roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an
amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a
second movie may be rented for $0.42. If a two and two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a
second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15.
If a customer rolls the dice and rents a second movie every Thursday for 30 consecutive weeks, what is the approximate probability that the total
amount paid for these second movies will exceed $15.00?
I saw other questions for this but why is the standard deviation 0.15*sqrt of 30 and not 0.15*30 because I thought this is a linear transformation
Answers
Using the normal distribution, it is found that there is a 0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard error is [tex]s = \sigma\sqrt{n}[/tex]In this problem:
Mean of $0.47, standard deviation $0.15, hence [tex]\mu = 0.47, \sigma = 0.15[/tex]30 instances, hence [tex]n\mu = 30(0.47) = 14.1, s = 0.15\sqrt{30} = 0.8216[/tex]The probability is 1 subtracted by the p-value of Z when X = 15, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Considering the n instances:
[tex]Z = \frac{X - n\mu}{s}[/tex]
[tex]Z = \frac{15 - 14.1}{0.8216}[/tex]
[tex]Z = 1.1[/tex]
[tex]Z = 1.1[/tex] has a p-value of 0.8643.
1 - 0.8643 = 0.1357.
0.1357 = 13.57% probability that the total amount paid for these second movies will exceed $15.00.
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Which equation below represents an equation in standard form?
Answers
Answer:
C
Step-by-step explanation:
standard form is ax + by = c, which is true for the third option.