Step-by-step explanation: Notice that the angle diagonal
of the 114° is a vertical angle and vertical <'s are ≅.
Now, notice that we have two parallel lines cut by a transversal.
If two parallel lines are cut by a transversal, then
consecutive interior angles are supplementary.
So we can setup the equation 114 + y + 12 = 180.
Simplifying on the left gives us 126 + y = 180.
Now subtract 126 from both sides to get y = 54.
Any help? Bsbhsjsjsjjsjsjsjsjjsjsjsjsjsjsjs
Solve for y in the equation C = 5x² +y
Answer:
y=C-5x^2
Step-by-step explanation:
Pls help I’ll brainlest for the right answer
Answer:
48
Step-by-step explanation:
64*3/4=48
answer:
increase, $80
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
Brandy made $58,474 this past year. She spent half of it on her bills and spent $15,545 on a new car. After all of Brandy’s expenses, how much does she have left?
Engineering The equation for the cross section of a spotlight is y+5= 1/2x^2.
measured in inches. The bulb is located at the focus. How far is the bulb from the
Vertex of the cross section?
Answer:
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Step-by-step explanation:
From the question we are told that
Equation of cross section is [tex]y+5= \frac{1}{2x^2}[/tex]
Generally the equation can be rewritten mathematically as
[tex]y+5= \frac{1}{2}x^2[/tex]
[tex]x^2=(y+5)2[/tex]
[tex](x-0)^2=(y-(-5))2[/tex]
Generally the equation of a parabola with vertical axis is mathematically given by
[tex](x - h)2 = 4p(y - k)[/tex]
Therefore comparing equations
[tex](x-0)^2=(y-(-5))2[/tex]
[tex]4p=2[/tex]
[tex]p=2/4[/tex]
The distance from the bulb to the vertex of the cross section is given by
[tex]p=1/2\ or\ 0.5\ inches[/tex]
Plot A shows the number of hours ten girls watched television over a one-week period. Plot B shows the number of
hours ten boys watched television over the same period of time.
Television Viewing Hours for a One-Week Period
Plot A
O
0 1 2 3 4 5 6 7
8
9 10
Plot B
0 1
2
3 4 5
7
8 9 10
Which statement compares the shape of the dot plots?
Mark this and return
Save and Exit
Sun
Answer:
I think its B
Step-by-step explanation:
9
Are the expressions below equivalent? How do you know?*
(3 Points)
8x + 16 versus 4(2x + 4)
Enter your answer
Answer:
Step-by-step explanation:
these expressions are equivalent
4(2x+4)= 8x+16 after multiplying 4 with 2x+4
Answer:
yes
Step-by-step explanation:
Yes. If I substitute a number for x, the result is the same.
A puppy named sparky started out at 3 pounds and gained 2 pounds every month how heavy was sparky at 4 months old
Answer:
4.5 pounds
Step-by-step explanation:
Estimate the answer by rounding each fraction to the nearest whole number and then subtracting.
Answer:
5
Step-by-step explanation:
estimated would be 8 - 3
To solve the problem we must know about fractions.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction [tex]\frac{1}{4}[/tex] can be described as 0.25
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.
The solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Given to us
[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]
Converting the mixed fractions to fraction
[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]
Taking LCM,
[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]
Converting to Mixed Fractions,
[tex]=5\dfrac{13}{40}[/tex]
Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].
Learn more about Fraction:
https://brainly.com/question/1301963
Please someone help me do number 9
Answer:
j=-15
Step-by-step explanation:
Since it it just the exponent of x, we will only see what x's exponent will be:
[tex]x^{6} +x^{-21}[/tex]
Add 6 and -21:
6-21= -15
j=-15
I need the answer asappp
- this is a proportion so you can cross multiply to find the answer.
162.5 25
--------- = ---------
x 54
162.5(54) = 25x
8775 = 25x
x = 351
— request: please mark brainiest, and click the thanks button if correct <3
Given f(x)=-5x+2, find f(6)
What is the slope for y = -4x -8
Answer:
The slope is -4
Step-by-step explanation:
Answer: -4
-4 is the slope because in the equation y=mx+b, m represents the slope.
hope this helps :)
The graph of which equation is shown?
Answer:
it should be
C. y = 2x +2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The starting point is 2. Where the line touches the y axis. The line as you see is going down which is negative. Pick 2 points on the graph where it’s touching. It is going down by 2. Hope this helps!
Solve x-34=78 find the value of x
Answer:
112 is the answer
Step-by-step explanation:
to find the value of x, you need to add both the numbers 34 and 78 to find x.
Answer:
x=112
Step-by-step explanation:
x=78+34
(here the 34 passes to the other side, and because it is substracing, you pass it adding)
x=112
They have an opportunity to buy 50 acres adjacent to their farm for $800 per acre. In the past, the price of farmland has gone up 3% a year. If this continues, how long will it be before the land is worth at least $1000 per acre?
Answer:
About 8 years
Step-by-step explanation:
3% of $800 is $24
$24 x 8 is $192 add that to the $800 and you get $992
how many solutions are there for 5x=10
Answer:e
Step-by-step explanation:
what is 5x + 4x
and find the coefficient
Answer:
9x
9 is the coefficient
Step-by-step explanation:
5x + 4x
These are like terms (they both have the same variable (x))
5x + 4x = 9x
The coefficient is 9, since it's the number in front of a variable.
Hope this helped!
A submarine spots a speedboat on the
surface of the water at a 42° angle of
elevation. The sub and the boat are
separated by a straight line distance of
35 feet. How far beneath the surface is
the submarine traveling?
Answer:
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.
How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.
The distance from ship A to the submarine is about
feet.
The distance from ship B to the submarine is about
feet.
Step-by-step explanation: answer this and ill answer yours.
Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?
Answer:
P (34<X<39) = 0.5899
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 37, \sigma = 3[/tex]
What is the probability that a cat would return to it's dish between 34 and 39 times a day.
This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So
X = 39
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{39 - 37}{3}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{34 - 37}{3}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.7486 - 0.1587 = 0.5899
So
P (34<X<39) = 0.5899
The table shows the amount of gasoline g (in gallons) left in your tank after you travel m miles.
Miles, m Gallons, g
0 20
20 19
40 18
60 17
A) Write a linear function that relates the amount of gasoline to the traveling distance.
B) How many gallons of gasoline are left after you drive 120 miles?
Answer:
A) [tex]y=-\frac{1}{20}x+20[/tex]
B) 14 gallons of gasoline
A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.equation modelling : Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis and results of the given problemGiven is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.
The given table is -
Miles [m] Gallons [g]
0 20
20 19
40 18
60 17
We can write the linear function as -
y = mx + c
We can write the slope as -
m = {(19 - 20)/(20 - 0)}
m = (- 1/20)
At [x] = 0, then [y] = 20. So, the equation will be -
y = (-1/20)x + 20
y = - (1/20)x + 20
At [x] = 120 miles -
y(120) = (-1/20 x 200) + 20
y(120) = - 10 + 20
y(120) = 10 gallons
Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
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Answer:
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Step-by-step explanation:
l/kkllk/lk/l/
Consider the expression 40+24 Find the greatest common factor of the two numbers and rewrite the expression using the distributive property
Answer:
Greatest Common Factor of 40+24 is 8
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
Step-by-step explanation:
We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property
Greatest Common Factor:The greatest number that is divisible by both numbers is known as greatest common factor.
So, Greatest Common Factor of 40+24 is 8
Now, Taking 8 common we get: 8(5+3)
Distributive property:It is written as: a(b+c) = ab+ac
So, we have 8(5+3) =8(5)+8(3)
Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)
which expression is equivalent to 2(x+7)-18x+4/3
Answer:
do u need to show your work or u just need the answerz
Step-by-step explanation:
the missing exponent 1,728 =12 (?)
Answer:
x=144
Step-by-step explanation:
How do I find angle A?
Angle A (6x +11) = 53
12x - 7 = 77
What type of table has the largest area
Answer:
The Rectangular Table Has The largest area of 1460 in^2
Need today right nowvery easy
Find the number of faces, edges and vertices of the solid.
Answer: 6 faces 12 edges 8 verticies
Step-by-step explanation:
Answers:
6 faces
12 edges
8 verticies