Answers
Answer:
[tex]{ \rm{(2x + 156) = (4x + 192)}} \\ { \tt \{alternate \: angles \}} \\ \\ { \rm{4x - 2x = 156 - 192}} \\ \\ { \rm{2x = - 36}} \\ \\ \dashrightarrow \: { \rm{x = - 18}}[/tex]
[tex]\\ \sf\longmapsto 2x+156=4x+192[/tex]
[tex]\\ \sf\longmapsto 2x-4x=192-156[/tex]
[tex]\\ \sf\longmapsto -2x=36[/tex]
[tex]\\ \sf\longmapsto x=-18[/tex]
Related Questions
factorise:
a) 32x⁴-8y²
Answers
Answer:
8(2x² - y)(2x² + y)
Step-by-step explanation:
32[tex]x^{4}[/tex] - 8y² ← factor out 8 from each term
= 8(4[tex]x^{4}[/tex] - y²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b) , then
4[tex]x^{4}[/tex] - y²
= [tex](2x^2)^{2}[/tex] - y²
= (2x² - y)(2x² + y)
Thus
32[tex]x^{4}[/tex] - 8y² = 8(2x² - y)(2x² + y)
harry and his 3 friends decided to order pizza, and the cost was $42.24. How much money will each have to pay?
Answers
Answer:
$10.54
Step-by-step explanation:
42.24 divided by 4
A number written in words is in:
expanded form
standard form
word form
exponential form
Answers
Answer:
Standard form
Two thousand n fifty dollars
Answer:
Standard Form
Step-by-step explanation:
Standard Form is how people write numbers in equations as words.
Observe the two stars below. How are they different?
a red dwarf star that is small in size and very dim.a yellow dwarf that is medium in size and dim.
The red dwarf is larger than the yellow dwarf.
The red dwarf is dimmer than the yellow dwarf.
The red dwarf is brighter than the yellow dwarf.
The red dwarf is made of more gas than the yellow dwarf.
Answers
Answer:
b The red dwarf is dimmer than yellow dwarf
Answer:
A red dwarf is a small, cool, very faint, main sequence star whose surface temperature is under about 4,000 K. Red dwarfs are the most common type of star.
Step-by-step explanation:
The perimeters of the
square and the rectangle
below are the same. Write
and solve an equation to find
the value of x.
Answers
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
Find the side length of the square. The formula is for area is
[tex]a = {s}^{2} [/tex]
So take the square root to find the side length.
[tex] \sqrt{121} = \sqrt{ {s}^{2} } [/tex]
[tex]s = 11[/tex]
Now find the perimeter of the square.
[tex]11 \times 4 = 44[/tex]
setup the equation to solve for x. The left side is the perimeter of the rectangle and the right is the perimeter of the square.
[tex]3x + 3x + x - 2 + x - 2 = 44[/tex]
Collect like terms
[tex]8x - 4 = 44[/tex]
subtract 4 from both side
[tex]8x = 40[/tex]
divide both side by 8
[tex]x = 5[/tex]
The students in Hunter's grade voted to select a guest speaker. 60 students voted for a famous athlete. If there are 75 students in Hunter's grade, what percentage of the students voted for the athlete?
Answers
Answer:
80%
Step-by-step explanation:
60/75 = 4/5 = 80%
The ratio of the length of a rectangle to the width of the rectangle is 3 inches to 2 inches. What is the length of the rectangle if the width is 4 inches?
Answers
Answer:
6 in
Step-by-step explanation:
2/3 = 4/x
(4*3)/2
3 3/4 divided by 2 1/12 in simplest form
Answers
Answer: the final answer is 1 4/5 or 9/5
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
3 3/4 turns into 15/4 and 2 1/12 turns into 25/12
Second: then flip the 2nd fraction so it becomes 12/25
now multiply straight across: 15/4 x 12/25
15 x 12=180
4 x 25=100
180/100= 9/5= 1 1/4
Simplest form of quotient of given fractions is 9/5.
The given fractions are [tex]3\frac{3}{4}[/tex] and [tex]2\frac{1}{12}[/tex].
How to divide two fractions?Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. The first step to dividing fractions is to find the reciprocal of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators.
[tex]3\frac{3}{4}[/tex] can be written as [tex]\frac{15}{4}[/tex] and [tex]2\frac{1}{12}[/tex] can be written as [tex]\frac{25}{12}[/tex].
Keep 15/4 and change division sign to multiplication sign and reverse the fraction 25/12 as 12/25.
That is , [tex]\frac{15}{4} \div \frac{25}{12} = \frac{15}{4} \times \frac{12}{25}[/tex]
[tex]=\frac{3}{1} \times \frac{3}{5} =\frac{9}{5}[/tex]
So, quotient = 9/5
Therefore, simplest form of quotient of given fractions is 9/5.
To learn more about the fractions visit:
https://brainly.com/question/10708469.
#SPJ2
11. Find the value of r so that the polygons have the same per
X+4
x + 5
x + 3
X-2
X+4
(Just solve 11. Pleaaase!)
Answers
Answer: i
Step-by-step explanation: dk
The table shows the production results for three factories. How many cars are manufactured at the fastest factory in one year?
12,000
13,500
16,200
22,000
Answers
Answer:
16,200
Step-by-step explanation:
Find the value of x using the figure to the right.
Answers
Answer:
yes it may be 3
Step-by-step explanation:
given: c is parallel to d and a is parallel to b
prove angle 1 and angle 4 are supplementary
Answers
Property of adjacent interior angles
1 congruent to 2
Property of vertical angles
3 congruent to 4
Property of alternate interior angles
1 and 4 are supplementary
Transitive property
PLEASE HELP!! THIS COUNTS FOR 18 PERCENT OF MY GRADE!!!!
Answers
Answer:
question is blurry plz ss it carefully
Plz help it’s due tonight!!!
Answers
sorry
Step-by-step explanation:
Order these numbers from least to greatest . 9 2/5, 167/20, 8.406, 8.49
Answers
Answer: 0.04, 0.2, 1/2, 3/4, 5, 73
Step-by-step explanation:
Paul has three​ cube-shaped boxes. Each box is a different size and they are stacked from the largest to the smallest. Some information about the boxes is given below. Answer questions 15 below.
The combined volume of the three boxes is​ 1,197 cubic inches.
The area of one face of the medium box is 49 square inches.
The volume of the smallest box is 218 cubic inches less than the volume of the medium box.
1. What is the volume of the medium​ box? Explain.
The edge length of the medium box is
â–Ľ
StartFraction StartRoot 49 EndRoot Over 2 EndFraction comma
StartRoot 49 EndRoot comma
RootIndex 3 StartRoot 49 EndRoot comma
StartFraction 49 Over 2 EndFraction comma
which equals
nothing. The volume of the box is the edge length
â–Ľ
squared,
doubled,
tripled,
cubed,
which equals
nothing
â–Ľ
cubic inch(es).
inch(es).
square inch(es).
Answers
Answer:
Medium box: 343 in^3
Large box: 636 in^3
Step-by-step explanation:
- Volume small box = 218 in^3
- Area face medium box = 49 in^2. (7x7=49)
Volume medium box = 7^3 = 343 in3
- Combine volume of the 3 boxes = 1,197 in^3
- Volume large box = 1,197 - 218 - 343 = 636 in^3
Identify the initial condition and the rate of change
a = b − 21
Answers
In the given expression :
a = b - 21rate of change = 1
Initial condition = - 21
Answer:
Option BStep-by-step explanation:
Given relationship:
a = b - 21It could be shown as:
a = 1*b + (-21)The rate of change is 1 and the initial condition is -21.
Correct choice is B
Rise over run please?????????
Answers
Answer:
1/3
Step-by-step explanation:
up 1 right 3
Rise 1 run 3
find three consecutive integers whose sum of the first and the third is -88
Answers
Answer:
Step-by-step explanation:
{-43; -44; -45}
-43+(-45)=-88
The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers
Answers
Step-by-step explanation:
let the 1st number be x
and,
2nd number = 2x
3rd number = 2x + 6
their sum = 66
so, after inserting the values we got
→ x + 2x + 2x + 6 = 66
→ 5x + 6 = 66
→ 5x = 66 - 6 = 60
→ x = 60/5 = 12
→ x = 12
therefore,
1st number = x = 12
2nd number = 2x = 12 × 2 = 24
3rd number = 2x + 6 = 24 + 6 = 30
hope this answer helps you dear...take care and may u have a great day ahead!
Which are the coordinates of Jefferson High School's Parking Lot B?
(-4, 3)
(-4,-3)
(-3,-4)
(-3, 4)
Answers
Answer:
(-3,4)
Step-by-step explanation:
the point is on -3 on the x-axis and 4 on the y-axis
Answer:(-3,4)
Step-by-step explanation:took the test and got right
Look at the angle. Which description is true
Answers
Answer:
The angle is greater than 90 degrees, which is also known as an obtuse angle.
Help me answer this fast please!
Answers
Answer:
y=x+2
Step-by-step explanation:
Kwami had two large sheets of paper. He cut each piece of paper in half, then he cut the smaller pieces of paper in half two more times.
Answers
Answer:
14
Step-by-step explanation:
4. Susannah is drawing a card from a standard 52-card deck. A standard deck of cards
contains four suits -- diamond, club, spade & heart. Each suit has 13 cards. Face cards (12)
are Jack, Queen, and King cards.
a. What is the probability that the card she draws is a diamond?
b. What is the probability that the card she draws is a face card?
c. What is the probability that the card she draws is a face card and a diamond?
d. What is the probability that the card she draws is a face card or a diamond?
Answers
Answer:
1/4(25%), 3/13(23%), 3/52(6%), 11/26(42%)
Step-by-step explanation:
a. 4 suits, therefore the probability is 1/4
b. there are 12 face cards. therefore the probability is 12/52 which simplifies to 3/13
c. there are only 3 cards that are diamonds and face cards. Therefore, it is 3/52
d. there are 12 face cards and 13 cards of each suit. But there are 3 that overlap. therefore, there are 22 in total, so 22/52. it simplifies to 11/26.
I dont know this no links though
Answers
Answer:
ok do the sqare root of 54 and 24 round to the nearest tenth then multiply the 54 by 3 and the 24 by 4 then subtract them too
Step-by-step explanation:
what is 1/3x+10=3/4x+5
Answers
Answer:
x=12
Step-by-step explanation:
Just use some algebra to collect the like terms from each side
Answer:
x = 12
Step-by-step explanation:
1/3x+10=3/4x+5
make 1/3 & 3/4 have the same denominator
4/12 & 9/12
4/12x+10=9/12x+5
-4/12x+10=9/12x-5
5 = 5/12x
60 = 5x
12 = x
0.0133 rounded to the nearest tenth
Answers
Answer:
0.0130
Step-by-step explanation:
tenths are the second if you read to the left
Answer:
0
Step-by-step explanation:
looking at the hundreths which is one. one is less then 5 so its not rounding up.
if a= 2, b= -3 and c= 4 evaluate ab-bc
Answers
Answer:
ab - bc = 6
Step-by-step explanation:
COMPUTATION:
ab - bc = ?
(2 x -3) - (-3 x 4) = ?
(-6) - (-3 x 4) = ?
(-6) - (-12) = ?
-6 + 12 = 6
Hope this helps!
1/2x-1/4y=10
1/8x-1/8y=19
which ordered pair (x,y) satisfies the system of equations above
a) (-122,264)
b) (64,88)
c) (232/3, 224/3)
d) (288,536)
Answers
Answer: (-112,-264)
Step-by-step explanation: