Consider the diagram below.
Find the value of x
Enter each line of work as an equation.
Answers
Answer:
x = 4
Step-by-step explanation:
We know that,
A parallelogram is a quadrilateral whose opposite sides are parallel.
Then the value of x will be,
→ 5x - 16 = 4
→ 5x = 4 + 16
→ 5x = 20
→ x = 20/5
→ [ x = 4 ]
Verification of the value of x,
→ 5x - 16 = 4
→ 5(4) - 16 = 4
→ 20 - 16 = 4
→ 4 = 4
→ [ LHS = RHS ]
Hence, the value of x is 4.
Related Questions
Classify the polynomial by the number of
terms.
5x2 + 3x – 8
Answers
[tex]\large\textsf{\textbf{Answer\::}}[/tex]
trinomial
[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]
If a polynomial has one term , it's a monomial .
If a polynomial has two terms , it's a binomial .
If a polynomial has three terms , it's a trinomial .
If a polynomial has 4 or more terms , it's a polynomial .
Since the given polynomial has three terms , it's a trinomial .
[tex]\footnotesize\texttt{hope\:helpful~}[/tex]
The diagram shows inner perimeter of a running track.
a. The total length must be 400m. Fund the length of the straight sides.
b. The track has 6 lanes, each 1.5m wide. Find the difference in the length between the outer and inner perimetres.
Answers
Answer:
Complete the sentence.
is 8 times as much as 10.
Step-by-step explanation:
you have to divide it by the length
A car dealership sold 232 cars in 4 months. At what rate did the dealership sell cars in cars per month?
Answers
Assuming the above parameters are correct, the dealership will sell 3.52 cars per hour on average.
If the dealer is open 7 days a week, then they will sell 4.11 cars per hour.
Answer:
58 cars
Step-by-step explanation:
232 divided by 4 = 58
Divide 4,671 divided by8
Answers
Answer:
its: 583.875
Step-by-step explanation:
Please give me brainlist
For the following graph, determine if the graph represents a polynomial function. If it is a polynomial function, then determine the number of turning points and the least degree possible.
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
b.This is not a polynomial. There are no turning points as the curve represents an odd function.
c.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is two.
d.This is not a polynomial. There are no turning points as the curve is always increasing.
Answers
Using function concepts, it is found that the correct option is given by:
a.Yes, this graph represents a polynomial. There are two turning points and the least degree possible is three.
What is the least degree possible of a polynomial?Supposing a polynomial with n turning points, the least possible degree is of n + 1.
In this problem, the polynomial has 2 turning points, hence the least possible degree is of 3 and option a is correct.
More can be learned about functions at https://brainly.com/question/25537936
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How do I solve this?
Answers
Answer:
Step-by-step explanation:
6x + 11y = 45
9x + 9y = 45
-18x - 33y = -135
18x + 18y = 90
-15y = -45
y = 3
6x + 33 = 45
6x = 12
x = 2
Please help!!!!!!!!!!
Answers
Answer:
See below
Step-by-step explanation:
x = the number
-1/6 x < -9 multiply both sides by -6 (this reverses < to > )
x > 54
frank gets a pay rise from £120 a week to £135 a week. what fraction of his original pay was his pay rise?
please help! not sure abt this answer...
Answers
Answer:
1/8
Step-by-step explanation:
135 is 15 more than 120
15 is 12.5% of 120
0.125 as a fraction is 1/8
Hope this helped!
The area of a
rectangle is 105 square centimeters. The
width of the rectangle is 7 centimeters.
What is the perimeter of the rectangle?
Answers
area=l×w
l=area/w
l=105/5
l=15
perimater=l+w
perimater=15+7
perimeter=22
simplify the following expression. (-3b+5)-(8b-3)
Answers
Answer:
-11b+8
Step-by-step explanation:
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{★\:Given\: expression★ }}}[/tex]
(-3b+5)-(8b-3)[tex]\rule{70mm}{2.2pt}[/tex]
★ 1st step
Opening brackets to continue operation by multiply ( - ) sign with (8b-3) which gives u[tex]\sf{➛ - 3b + 5 - 8b + 3}[/tex]
★ 2nd step
Arranging terms[tex]\sf{➛ -3b - 8b + 5 - 3}[/tex]
★ 3rd step
solving the expression which give[tex]\sf{➛ - 11b + 2}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex]
[tex] \pink{ \boxed{\underline{ \boxed{ \sf{✠ \: -11b+2 \: ✠}}}}}[/tex]
Hope it helps !
12-1/2(x-3)=1/4(2x+1)-10
Answers
Answer: x=23.25
Step-by-step explanation:
12-1/2(x-3)=1/4(2x+1)-10
4 ×12 -4×1/2(x-3)=4×1/4(2x+1)-10×4
48-2(x-3)=(2x+1)-40
48-2x+6=2x+1-40
48+6+40-1=2x+2x
93=4x
x=23.25
Write the quadratic function in vertex form: f(x) = 8x + 2x - 5
Answers
Need the answer for this
Answers
Answer:
Just B and C
Step-by-step explanation:
Not A as cost is always increasing with x.
Yes B as is x squared relationship
Yes C as 15*9 = 135
No D as it is a squared relationship so much more than double
Not E as the the cost increases by a different amount for each increase in x.
Hey can someone please help me with this question. Im having a hard time with them.
Answers
Answer:
B
Step-by-step explanation:
The event of a baby boom would cause a huge growth in the population whilst the other options would create ethical and financial issues with having many children.
Danielle has the following averages in her math class: Homework Avg.: 80, Quiz Avg.: 84, Test Avg.: 74, Final Exam: 60. The teacher weights Homework at 10%, Quizzes at 30%, Tests at 40%, and the Final Exam at 20%. How many points did Danielle earn in the HOMEWORK category?
Answers
Answer:
75
Step-by-step explanation:
-given averages-
-Homework Avg : 80
-Quiz Avg.: 84-
-Test Ayg: 74
-Final Exam: 60
-weights
-Homework at 10%,
-Quizzes at 30%,
-Tests at 40%
-Final Exam at 20%
Homework points:
16. Tahlia has 12 cups of flour in her pantry. Each time she bakes cookies, she uses 2 cups of
Flour.
a. Write an expression that gives the cups of flour Tahlia has left in terms of n, the
number of times she has baked cookies.
FLOUR
b. Use factoring to write an equivalent expression to the expression in part a.
1
TI 2015
Answers
Answer:
a. 12 cups - 2 * n cups b. 2 * (6-n) cups
Step-by-step explanation:
a.
we start with 12 cups of flour
we subtract 2 cups of flour for each baking cycle
thus, cups of flour = 12 cups - 2 cups for each cycle
2 cups for each cycle = 2 cups * number of cycles = 2 cups * n
cups of flour = 12 cups - 2 * n cups
b.
note that 12 is a multiple of 2 -- 2 * 6 = 12
thus, 12 cups = 2* 6 cups
cups of flour = 12 cups - 2 * n cups = 2 * 6 cups - 2 * n cups
factor out the 2
cups of flour = 2 * (6-n) cups
Luna measured the elementary school and made a scale drawing. The schoolyard, which is 175 meters long in real life, is 25 centimeters long in the drawing. What scale did Luna use for the drawing?
Answers
Answer:
1 cm : 7 m
Step-by-step explanation:
25 cm : 175 m simplifies to 1 cm : 7 m
a
- A glass display box has a surface area of
378 square inches. How many square
OT
inches of glass are used to create a glass
display box with dimensions that are one-
bovom
half those of the original? (Example 1)
SVRUSU
Answers
Answer:
94.5 in²Step-by-step explanation:
Given
Area of glass display box is 378 in²The scale factor is 1/2We know that the area is the function of two dimensions
To find the surface area of the display box we need to multiply the surface area of the original by the square of the scale factor
A = (1/2)²*378 = 378/4 = 94.5 in²what’s the area and the perimeter and of the triangle?
Answers
Answer:
42.9
Step-by-step explanation:
8.25x 5.2
Triange formula = b x h
What is the exact volume of the cylinder?
Cylinder with radius labeled 4 inches and height labeled 8 inches
32π in³
64π in³
128π in³
512π in³
Answers
because:
Volume = Area of the base * height
Volume= pi*r^2*height
= pi4^2 * 8
= 128pi
What does it mean when someone states "she gave it 110" how can this comment be explained using math?
Answers
Answer:
It means you put full effort into what you're doing, because in math, 100% is perfect, but 110% is more than perfect, so they are saying she put extreme effort into the problem.
Harry charges $4 to babysit for the first hour. For each additional hour, he charges
50% more than he did for the previous hour. How much money in total would Harry
earn for 4 hours of babysitting?
Please help me quick i will mark you as brainliest when i get the chance or if possible
Answers
Harry would earn total money equal to $32.50 babysitting.
Since Harry charges 50% more for each additional hour as he did for the previous hour, then
he charges 1.5 or 3/2 times as much as he did for the previous hour.
What is the charge?Term Definition Money charge refers to a special expense entry and allows an administrator to track changes in a project's billing.
Harry charges $4 for the first hour.
Harry then charges
3/2 × $4 = $6 for the second hour.
Harry then charges 3
3/2 × $6 = $9 for the third hour.
Harry then charges 3
3/2 × $9 = $ 27/2 = $13.50 for the fourth hour.
Therefore, for 4 hours of babysitting
Harry would earn $4 + $6 + $9 + $13.50 = $32.50.
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52. What is the 275th digit after the decimal point in the
repeating decimal 0.6295 ?
F. 0
G. 2
H. 5
J. 6
K. 9
Answers
Hope you have a nice day
The [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
What is decimal?Decimal is one of the types of numbers, which has a whole number and the fractional part is separated by a decimal point.
It is given that [tex]0.6295[/tex] is a repeating decimal.
i.e. [tex]0.6295[/tex] repeats after [tex]4th[/tex] digit,
So, divide [tex]275[/tex] by [tex]4[/tex],
We get,
[tex]=\frac{275}{4}[/tex]
We get, [tex]68[/tex] and [tex]3[/tex] as remainder.
So, the [tex]275th[/tex] number after the decimal point will be [tex]3rd[/tex] digit in [tex]0.6295[/tex] after decimal.
i.e. [tex]275th[/tex] number will be [tex]9[/tex].
Hence, we can say that the [tex]275th[/tex] digit after the decimal point in the repeating decimal [tex]0.6295[/tex] will be [tex]9.[/tex]
To know more about Decimal click here
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i need the awnsers to this asap
Answers
Answer:
27.2 I believe
Step-by-step explanation:
Theren is a pattern in the numbers, the dollar is going up by 2 while the cents are going down by 2, if you follow the pattern till you get to 15 in pounds, the you'll get 27.2
Will give brainliest look at pitcure
Answers
Answer:
x = 15
Step-by-step explanation:
angle FoH = 360° - 90° - 90° - angle G
= 180° - 75°
= 105°
17x° = 360° - angle FoH
17x° = 360° - 105°
17x° = 255°
x = 255 ÷ 17
x = 15
HOPE THIS HELPS AND HAVE A NICE DAY <3
help me pls reallly fast pls
Answers
Answer:
180 degrees.
Step-by-step explanation:
A supplementary angle is an angle which either of two angles whose sum is 180°.
No matter how big the triangle grows, the angles will stay the same degrees all throughout.
Pretty sure this is what you needed, hope this helps!
You have three consecutive even
numbers so that the sum of twice
the smallest number plus three times
the middle number is four times the
largest number. Find the three numbers.
Answers
I need the answer asap!!!!
Which expression is equivalent to 6x+ 8?
2(3x-4)
2(3x+4)
2(4x+6)
2(3x+8)
Answers
PLEASE HELP ME AND MY FRIEND NEED THIS QUESTION ANSWERED PLEASE HELP
Answers
Answer:
[tex]V_{cone} =65.94\: cm^3[/tex]
Step-by-step explanation:
Height of cone (h) = 7 cmBase radius (r) = 3 cmFormula for Volume of cone is given as:[tex]V_{cone} = \frac{1}{3}\pi r^2h[/tex]Plugging the values of h and r in the above formula, we find:[tex]V_{cone} = \frac{1}{3}(3.14) (3)^2(7)[/tex][tex]\implies V_{cone} = \frac{1}{\cancel 3}(3.14) (\cancel 9)(7)[/tex][tex]\implies V_{cone} = (3.14) (3)(7)[/tex][tex]\implies V_{cone} =65.94\: cm^3[/tex]please explain Algebraic Equation
Answers
An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.
Example of Algebraic Equations:
Eg. 1) x + 10 = 20
Eg. 2) 5x + 10 = 20
Eg. 3) 2x + 2 = 4
