Answers
Answer:
x=20
Step-by-step explanation:
5x+4x=180
9x=180
/9 on both sides
x=20
The value of 4x and 5x is 80° and 100° respectively .
What is the same-side interior angle theorem?The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary, or add up to 180 degrees.
According to the question
4x , 5x are angles given
As,
They are angles between parallel line and same side of transversal line
according to same-side interior angle theorem that are formed are supplementary .
i.e there sum = 180°
4x + 5x= 180°
9x = 180°
x = 180°/9
x = 20°
So,
4x = 20 * 4 = 80°
5x = 20 * 5 = 100°
Hence, The value of 4x and 5x is 80° and 100° respectively .
To know more about same-side interior angle theorem here:
https://brainly.com/question/15066024
#SPJ2
Related Questions
A rectangle has a perimeter of 100 inches, and
one side has length x. Express the area of the
rectangle as a function of x.
Use the function in part a to find the dimensions of the rectangle with permitter 100 inches and the largest possible area
Answers
Answer:
a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²
Step-by-step explanation:
a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have
P = 2(L + W)
100 = 2(L + x)
dividing both sides by 2, we have
100/2 = L + x
50 = L + x
making L subject of the formula, we have
L = 50 - x
Now, the are of a rectangle A = LW. Substituting the values of L and W, we have
A = LW
A = (50 - x)x
A = 50x - x²
b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.
So, dA/dx = d(50x - x²)/dx
dA/dx = d50x/dx - dx²/dx
dA/dx = 50 - 2x
dA/dx = 0 ⇒ 50 - 2x = 0
50 = 2x
dividing both sides by 2, we have
x = 50/2
x = 25
To find it this gives maximum value for A, we differentiate A twice.
d²A/dx² = d(50 - 2x)/dx
d²A/dx² = d50/dx - d2x/dx
d²A/dx² = -2
Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.
Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in
So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²
The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²
can someone help me please
Answers
Answer:
6 (x)
Step-by-step explanation:
Reflections of the coordinate plane homework 3
Answers
Answer:
can we have more info please?
Step-by-step explanation:
CORRECT ANSWER GETS BRAINLIEST !
Vana lives 6 miles from the library and 18 miles from the museum . To the nearest mile . What is the shortest distance from the museum to the library ?
A.16mi
B.17mi
C.19mi
D.20mi
Answers
Answer:
C
Step-by-step explanation:
I just took the quiz :D
May I have Brainiest???
Tracy spends $97 on her cell phone bill this month. Her bill is usually around the same amount each month. If she wants to include an estimate of her cell phone bill in her monthly budget, what amount should she use? Round to the nearest ten.
Answers
Answer:
$100
Step-by-step explanation:
97 is rounded to 100 because the last digit is more that 5.
I hope this helped, please mark Brainliest, thank you!
Which number is rational?
1. –2.1010010001...
2. –0.8974512...
3. 1.2547569...
4. 5.3333333...
PLEASE HELP ITS A UNIT TEST AND TIMED
Answers
Answer:
4.) 5.3333333....
Step-by-step explanation:
Rational numbers are either repeating decimals:
[tex]\frac{1}{3}= 0.333333333....[/tex]
Include terminating decimals:
[tex]\frac{1}{8}= 0.125[/tex]
Are all numbers that can be written as a quotient of integers:
[tex]\frac{a}{b},b\neq 0[/tex]
Options (1), (2), and (3) are neither repeating, terminating, and can't be written as a quotient of integers.
Option (4) has repeating decimals, so this is rational.
:Done
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
1.75=5n or 5n=1.75
Step-by-step explanation:
There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75
Answer:
5n=1.75
Step-by-step explanation:
the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.
here, we have assumed that 1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle
A circle has a diameter of 26 mm. What Is Its circumference?
Use 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer
Answers
The formula for circumference is 2 x pi x radius
In order to find the radius you need to divide 26 by 2
26 divide by 2 is equal to 13
2 x 3.14 x 13= 81.681 or 26pi
Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 ." What is Julios's number?
Answers
Answer:Julios's number is 31
suppose: Julios's number is x
because Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 "
=> we have: (x - 13).(-3) = -54
<=> x - 13 = (-54):(-3) = 18
<=> x = 18 + 13 = 31
<=> x = 31
Step-by-step explanation:
molly bought a lunch special that was originally $14 today it is on sale for 20% off what is the sale price of the lunch special
Answers
The sale price is $2.80
14 - 2.80 = 11.20
The sale price is $11.20
find x (11x-1) (20x-3) 151
Answers
Answer:
x=5 I think
Step-by-step explanation:
just search it up online
find the value of x that makes m|n
Answers
Answer:
x = 60°
Step-by-step explanation:
Two parallel lines will have the same angle if another line intersects them. That means 2x+15° = 135°.
2x = 120°
x = 60°
Answer:
opposite number of -18
Create a 5th degree trinomial that has a constant term of 3.
Answers
Answer:
[tex]2x^5+3x^2+3[/tex] is a trinomial having with:
three terms degree 5 and The constant term '3'Step-by-step explanation:
Considering the trinomial
[tex]2x^5+3x^2+3[/tex]
Any polynomial with 3 terms is a trinomial, so it is a trinomial.It is clear that '5' is the highest power of the 'x' variable. so, the polynomial has a degree of 5.
'3' is the constant term. The reason is that any term with no variable is called a 'constant' term. So, '3' is the constant term.
Therefore, [tex]2x^5+3x^2+3[/tex] is a trinomial having with:
three terms degree 5 and The constant term '3'300% of 82 is what number?
Answers
Answer:246
Step-by-step explanation:
Translate the sentence six less than the product of four and a number is -2 into an equation
Answers
Answer:
4x-6=-2
Step-by-step explanation:
This is the mathematical form of the equation.
What is the minimum value for the function shown in the graph?
(pls help asap thank you :^)
Answers
Joseph has 1/2 of a sub left after lunch. He eats 1/4 of this amount for snack. what fraction of a whole sub did Joseph eat for snack
Answers
Answer:
Step-by-step explanation:
I believe the answer would be 1/4 of the sub. Because they asked about the whole sub. And it says he ate 1/4 of the amount of that half of the sub for snack. So out of the whole sandwich it would be 1/4!
If it’s not the answer your looking for you can take it off...
But...
Hope it helps
Find the surface area of the prism
Answers
Answer:
the answer is 29
Step-by-step explanation:
Solve the equation. If exact roots cannot be found, state the consecutive integers between which the roots are located.
x = -3 and 1
x = -2
No real roots.
x = 3 and -1
Answers
Answer:
No real roots.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary Roots: √-1 = iStep-by-step explanation:
Step 1: Define
-3x² + 2x = 1
Step 2: Rewrite in Standard Form
Subtract 1 on both sides: -3x² + 2x - 1 = 0Step 3: Define
a = -3
b = 2
c = -1
Step 4: Find roots
Substitute in variables: [tex]x=\frac{-2\pm\sqrt{2^2-4(-3)(-1)} }{2(-3)}[/tex]Exponents: [tex]x=\frac{-2\pm\sqrt{4-4(-3)(-1)} }{2(-3)}[/tex]Multiply: [tex]x=\frac{-2\pm\sqrt{4-12} }{-6}[/tex]Subtract: [tex]x=\frac{-2\pm\sqrt{-8} }{-6}[/tex]Here we see that we cannot take the square root of a negative number. We will get no real roots and only imaginary ones.
A newspaper is rolled into a cylindrical shape of approximate diameter 4cm It is wrapped for posting with a strip of paper which goes about 2 1/2 times round the newspaper Use the value 3 for π to find the approximate length of the wrapping paper. And 2. Calculate the total surface area of a solid cone of slant hight 10cm and base diameter 10 cm.Use the value 3.14 for π
Answers
Answer:
30 cm
[tex]863.5\ \text{cm}^2[/tex]
Step-by-step explanation:
d = Diameter of cylinder = 4 cm
n = Number of times the strip of paper is turned = [tex]2\dfrac{1}{2}=2.5[/tex]
Diameter of the cylinder will be approximately equal to the diameter of the paper wound. Length of one turn will be circumference of the paper
Circumference of the paper
[tex]c=\pi d\\\Rightarrow c=3\times 4\\\Rightarrow c=12\ \text{cm}[/tex]
Total length of the paper will be the number of turns multiplied by the length of one turn
[tex]l=nc\\\Rightarrow l=2.5\times 12\\\Rightarrow l=30\ \text{cm}[/tex]
Length of the strip of paper is 30 cm.
2.
l = Slant height = 10 cm
d = Base diameter = 10 cm
r = Radius of base = [tex]r=\dfrac{d}{2}=\dfrac{10}{2}=5\ \text{cm}[/tex]
Total surface area of cone is given by
[tex]S=\pi r^2+\pi rl\\\Rightarrow S=\pi r(r+rl)\\\Rightarrow S=3.14\times 5(5+5\times10)\\\Rightarrow S=863.5\ \text{cm}^2[/tex]
The total surface area of cone is [tex]863.5\ \text{cm}^2[/tex].
question in the picture!!
looking for the answer of 1) , 2) and 3)
show your work using numbers!!
Answers
2) 15/50 is .3 or 30%
3) 12/40 is .3 or 30%
Answer:
1. 24%
2. 30%
3. 30%
Step-by-step explanation:
1. 100%/25= 4% 4%*6=24%
2. 100%/50= 2% 2%*15=30%
3. 100%/40=2.5% 2.5%*12= 30%
3x-2(x+5)=14 then x
Answers
3x -2x -10 = 14
x -10 =14
10. 10. add 10 to both sides
x = 24
:)
Answer:
x = 24
Step-by-step explanation:
3x-2(x-5)=14
remove the parentheses using distributive property
3x-2x-10=14
collect like terms
x-10=14
move constant to the right side and change the sign
x=14+10
calculate ( add the numbers together)
x = 24
Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes. Each package contains 24 cupcakes. Which equation is NOT a way to find c, the number of cupcakes Betty bought in all?
Answers
Answer:
The equation to find the number did cupcakes bought in all =
= 3c + 7c
= c(3 + 7)
The total number Betty bought in all = 240 cupcakes.
Step-by-step explanation:
Let the amount of cupcakes in a package be represented by c
Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes.
The equation to find the number did cupcakes bought in all =
3 × c + 7 × c
= 3c + 7c
= c(3 + 7)
Each package contains 24 cupcakes
The total number = 3(24) + 7(24)
= 240 cupcakes.
Chandler wants to raise 200$ to buy a new gaming system. He already has 80$ and plans to save 40$ a week. How many weeks will it take chandler to raise enough money to buy his gaming system?
Answers
Answer:
3 weeksStep-by-step explanation:
Step one:
given data
expected amount =$200
cash already at hand=$80
savings per week=$40
let the number of weeks be x
Step two:
the linear function for the situation is the same as the equation of a straight line
y=mx+c------1
200=4x+80
solve for x
200-80=40x
120=40x
divide both sides by 4
x=120/40
x= 3 weeks
Chandler will save for 3 weeks
OMGGG CAN YALL ANSWER THIS !
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answers
Answer:
m
Step-by-step explanation:
m
Answer:
There were 140 robberies in Springfield in 2012.
Step-by-step explanation:
Let's marked (named) robberies in 2012 with x, which is worth 100%
196 robberies in 2013 worth 100% + 40% = 140%
Now we will make proportion
x : 196 = 100 : 140
When we multiply external and internal members we get
140 x = 196 · 100 => 140 x = 19600 => x = 19600/140 = 140
x = 140 robberies in 2012
Pls help it's due tonight
Answers
Answer:
6.25 colonies of bacteria per +pH change from 7 to 9
Step-by-step explanation:
It seems to go from 57.5 to 70 or maybe 57 or 58
Either way I will go with my guess of 57.5
Rate of Change= (70-57.5)/(9-7)=(12.5)/(2)=6.25 rate of change for colonies of bacteria per positive pH change from 7 to 9
Can someone please explain how to find the answer? My old teacher didn’t do it this way and I’m lost :/
Answers
Answer:
the triangle means "change in". so triangle x means the change in the x values and triangle y means change in y values so yeah mental calculate the difference
what is 5 times 10 to the sixth power times 5 times 10 to the seventh power in scientific notation
Answers
Answer:
The Answer for this question in scientific notation is:
2.5e+14
Answer:
5 · [tex]10^{13}[/tex]
Step-by-step explanation:
hope this helps
2. Which system of inequalities are represented by the graph below:
a) y 2x + 4
y<-x + 4
b) y> 2x + 4
y <-X + 4
c) Y S-2x + 4
y>X-2
d) y 2x + 4
YS-X+4
tem of equations have?
Answers
Answer:
12
Step-by-step explanation:
Use the slope-intercept form y=mx+b to find the slope m and y-intercept b
.
Slope: 12
y-intercept: (0,−2)
A local specialty store sells two brands of yogurt. Brand A is a fruit yogurt that comes in a 12-ounce container for $2.88. Brand B is a fruit yogurt that comes in a 16-ounce container for $4.48. Which one is a better buy: Brand A or Brand B?
Answers
Answer:
0.04
Step-by-step explanation:
Brand A:
so x is equal to 0.24
Brand B:
so x is equal to 0.28
Now the difference of cost would be Brand B - Brand A which would give you 0.04.