Answer:
107.5° and 72.5°
Step-by-step explanation:
x + y = 180 same side interior angles of two parallel lines add up to 180
x - y = 35
___________
2x = 215 add above two equations
x = 107.5° divide by 2 to isolate x
Substitution to find y:
x + y = 180
107.5 + y = 180
y = 72.5°
The measure of these two angles is 107.5° and 72.5°.
Given that,
The difference between two same-side interior angles of two parallel lines is 35 degrees.We need to find the measure of the two angles. Here we assume the two angles be x and y.Based on the above information, the calculation is as follows:
x + y = 180
And,
x - y = 35
So, after solving it, it comes
2x = 215
x = 107.5°
So, y = 180 - 107.50 = 72.5
Therefore we can conclude that the measure of these two angles is 107.5° and 72.5°.
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Therefore we can conclude that
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ [tex]x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )[/tex]
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ [tex]2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )[/tex]
⇒ [tex]64+(\frac{81}{27} )(64)[/tex]
⇒ [tex]64+(3)(64)[/tex]
⇒ [tex]64+192[/tex]
⇒ [tex]256[/tex]
Hence we can conclude that the value of the expression is 256.
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Type only a number for your answer
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
what is 3x+4/5 = 7-2x
Answer:
..jkbiuhlihuhiuuhi
Step-by-step explanation:
kguykguyufkyugyyguygyggkuy
At a basketball game 64% were supporting the visiting team. If total number of people attending h the e game was 2000, how many people were supporters of the home team
Answer:
720
Step-by-step explanation:
0.64 x 2000 = 1280
2000 - 1280 = 720
No. of people supporting the home team out of 2000 people is 720.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, At a basketball game, 64% were supporting the visiting team.
The percentage of people supporting the home team is
(100 - 64)% = 36%.
Now, Total number of people who came to watch is 2000.
∴ No. people supporting the home team is,
= (36/100)×2000.
= 36×20.
= 720 people.
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Last week at Best Bargain, 20% of the computers sold were laptops. If 70 computers were sold last week, how many were laptops?
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function cx x ( ) = + 90 12 represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Answer:
Two additional premium channels were ordered
Step-by-step explanation:
Linear Modeling
It consists of describing a real situation with a mathematical function that corresponds to a straight line.
An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.
The linear model for the charges of the company is:
c(x) = 90 + 12x
Where x is the number of additional premium channels.
Knowing that one month the charge was $114, we can find x:
114 = 90 + 12x
Subtracting 90:
114 - 90 = 12x =24
Dividing by 12:
x = 24/12
x = 2
Two additional premium channels were ordered
Complete Eduardo's definition of parallel lines: "If two coplanar lines are both perpendicular to a third line in the same plane, all of the angles formed between the two lines and the third line are "Explain your answer.
Malik had 54 yards rushing. James had -12 yards rushing. How many more yards
does Malik have than James?
Use intercepts to graph the line described by the equation 5x − 5y = 10.
What is the answer I got it wrong
Answer:
-1/2
Step-by-step explanation:
It’s y2 - y1 over x2-x1
- 2 - 3
— - -—-
6 - (-4)
= -5/10
= -1/2
Answer: 1/2
Step-by-step explanation:
11. Choose the correct solution and graph for the inequality.
Y+1/5>1/3
Answer:
[tex]y > \frac{2}{15} [/tex]
A sprinter travels a distance of 100 m in a time of 11.21 seconds.
What is the sprinter's average speed rounded to 4 sf?
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
∵speed = distance/time taken
= 100/9.83
= 10.17 m/s
Now we know, 1 km/h = 1000/3600 m/s
so, 1 m/s = 3600/1000 km/h = 18/5 km/h
∴ 10.17 m/s = 10.17 × 18/5 = 10.17 × 18/5 = 36.612 km/h
Hence, average speed = 36.612 km/h
Step-by-step explanation:
Answer:
distance travelled by sprinter = 100 m
Time taken = 11.21sec
Hence, average speed = 36.612 km/h
Step-by-step explanation:
−3x+8<15 please help
Answer:x<-7/3
Step-by-step explanation:
Answer: X > -7/3
Step-by-step explanation:
-3x + 8 < 15
subtract 8 from both sides
-3x < 7
divide by negative 3
Also, when dividing or multiplying by a negative you flip the sign.
x > -7/3
Answer :)
What is the rate of change of y with respect to x for 25x - 4y = 50 ?
Answer:
25/4Step-by-step explanation:
The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c where m is the slope.
Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;
25x - 4y = 50
-4y = -25x+50
Divide through b y -4
-4y/-4 = -25x/-4 + 50/-4
y = 25/4 x - 25/2
Comparing with y = mx+c
mx = 25/4 x
m = 25/4
Hence the rate of change of y with respect to x is 25/4
The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
Given the equation:
[tex]25x - 4y = 50[/tex]
The rate of change = the slope of the line
To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]Where, slope = mThus,[tex]25x - 4y = 50[/tex]
Add 25x to both sides of the equation[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]
Divide both sides by -4[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]
Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
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quadratic formula:
3x^2+2x-4=0
Answer: i hope this helps!
is y=.75x+2 proportional or non proportional
Answer:
non proportional
Step-by-step explanation:
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
How much do you need to subtract from 43/10 to make 4?
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[tex] \frac{43}{10} - x = 4 \\ [/tex]
[tex] \frac{43}{10} - x = \frac{40}{10} \\ [/tex]
Subtract sides 43 / 10
[tex] - \frac{43}{10} + \frac{43}{10} - x = - \frac{43}{10} + \frac{40}{10} \\ [/tex]
[tex] - x = \frac{ - 43 + 40}{10} \\ [/tex]
[tex] - x = - \frac{3}{10} \\ [/tex]
Negatives simplifies
[tex]x = \frac{3}{10} \\ [/tex]
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Thus we need to subtract
[tex] \frac{3}{10} \\ [/tex]
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Answer:
83/10
Step-by-step explanation:
let x represent the number:
43/10 - x = 4
x = 4 + 43/10
simplifying the answer:
x = (4(10) + 43)/10
x = (40 + 43)/10
x = 83/10
I need help plz like ASAP
I will give you a Brainist if you answer first
Answer:
Step-by-step explanation:
The proportion of x/y is 8/1. And to solve your question the value of y when x is 10 is 1.25 .
At local parks, bikes can be rented through Clarksville B-Cycle. They charge a $3 fee plus $2 an hour for renting a bike. Ryan's total bill for one day was $15 to rent a bike. How many hours did he have the bike checked out?
Answer:
7
Step-by-step explanation:
How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.
Please help me out
Answer: In order to begin figuring that out, we need to know how both of their plans work.
In the equation a= 3/b is a positive, real number. As the
value of b is increased so it becomes closer and closer to
infinity, what happens to the value of a ?
Answer:
The value of a tends to zeroStep-by-step explanation:
Given the expression a = 3/b
as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;
If b = ∞
a = 3/∞
a = 0
Note that for any constant value a, the ratio a/∞ will always tends to zero
which expression is equal to 5/2? Write a situation that could represent the fraction above.
Answer:
3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?
Step-by-step explanation:
All you do is you find a problem that would give you 5/2 then create a word problem.
Which proportional relationship has the greatest rate of change?
Answer:
The answer is A.
Step-by-step explanation:
A- slope is 7
B- slope is 3
C- slope is 4
D- slope is 6
The first option, [tex]y=7x[/tex] has greatest rate of change.
Any relationship which have greatest slope, that relationship will also have greatest rate of change.
First option is, [tex]y=7x[/tex] , compare with y = mx
Slope = 7
Slope of option B is, [tex]=\frac{12}{4} =3[/tex]
Slope of option C is, [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]
Slope of option C is, [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]
From slope of all options , it is observed that function y = 7x has greatest slope.
Hence, first option y = 7x has greatest rate of change.
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The following triangle shows the length of each side using expressions.
2n +7
2n +7
3n
a. Write an expression in simplest form to represent the perimeter of the triangle above. Show all work.
b. If n = 8, find the perimeter of the triangle. Show all work.
I need someone’s help please I don’t know this that well
Answer:
raiz de 84 = 9.16
Step-by-step explanation:
la ubicacion que debes de poner es en la primera linea que te anexe en la linea
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
Is it a solution?
Yes
No
(-3.2)
(8,9)
(-3,0)
(-2. – 8)
Answer:
(-2.-8) is the answer to the question
The solution of the inequality equation 7x - 4y < 18 will be (-2, -8) and yes, it has a solution.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
For each ordered pair (x, y), determine whether it is a solution to the inequality 7x - 4y < 18.
The equation is satisfied by the point (-2,– 8). Then we have
7x - 4y = 18
7(-2) - 4(-8) = 18
-14 + 32 = 18
18 = 18
More about the inequality link is given below.
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In a
group of 100 youths, the ratio of youths who like Android tablet and Ipad is 3:5. 1620 of them like
the tems and 40 of them like non of the items then by drawing a Venn diagram, find how many
dem like Android tablet only
Answer:
None of them like the android tablet
Pls help me this is so hard can someone help me.
Answer: 4x+8=12
Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader
URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?
9514 1404 393
Answer:
Vickey is 4Krishna is 23Step-by-step explanation:
Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...
(27 -v +4) +2(v +4) = 43
27 -v +4 +2v +8 = 43 . . . . eliminate parentheses
v +39 = 43 . . . . . . . . . . . . . collect terms
v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides
v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age
27 -v = 23 . . . . . Krishna's age
Vickey's age is 4; Krishna's age is 23.