Answers
Answer:
CD = 38
Step-by-step explanation:
Since AB = 3x + 2, CD = 3x + 2
To solve for the length of CD, we'll need to solve for x first by using the perimeter formula
Solving for x...
[tex](3x+2)+(3x+2)+2x+2x=124[/tex]
[tex]3x + 3x + 2x + 2x = 120[/tex]
[tex]10x=120[/tex]
[tex]x=\frac{120}{10}[/tex]
[tex]x=12[/tex]
Now that we know what x equals, plug in x into the expression of side CD
CD = 3x + 2
CD = 3(12) + 2
CD = 36 + 2
CD = 38
Therefore, the length of side CD = 38
-------------------------------------------------------
Check:
AB = CD | BC = DA
38 + 38 for AB and CD
BC + DA = 2x + 2x
BC + DA = 2(12) + 2(12)
BC + DA = 24 + 24
BC + DA = 48
38 + 38 + 48 = perimeter
perimeter = 124
Related Questions
How much can 1/2 go into 25
Answers
Answer:
50
Step-by-step explanation:
please mark me as brainliest
Answer:
50
Step-by-step explanation:
Hi there!
Determining how much 1/2 can go into 25 is the same as solving for 25÷1/2:
[tex]25\div\frac{1}{2}[/tex]
Dividing by a fraction is the same as multiplying its reciprocal:
[tex]=25\times\frac{2}{1}\\=25\times2\\=50[/tex]
I hope this helps!
The figure below is a rectangular prism.
Which edge is parallel to segment BD?
A. HK
B. BM
C. DK
D. AH
Answers
Segment AH is parallel to BD and if the lines were drawn out infinitely, the two lines would never meet.
Solve the following system of equations for x: xy = 6
3y = x - 3
Answers
Answer:
B
Step-by-step explanation:
xy=6
y=6/x (1)
substitute (1) into 3y=x-3 and solve
In a lottery game, a player picks shox numbers from 1 to 20. If the player matches all six numbers, they win 20,000 dollars. Otherwise, they lose $1. What is the expected value of this game? $
Answers
$120ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Given: ABCD is a trapezoid,
AB= 13, CD = 14,
BC = 5, and AD= 20.
Find: A
ABCD
Answers
Answer:
A=13×13
=169sqr.units
If two chords of a circle are congruent then they are equidistance from the
A. secant.
B. center.
c. tangent.
D. edge of the circle.
Answers
Answer:
I think
The choose B. center.
I hope I helped you^_^
fill in each balance???
Answers
Answer:
Step-by-step explanation:
Take the beginning number and add or subtract each transaction to get a new balance. For example,
349.45
- 23.42 = 326.03
- 14.95 = 311.08
+ 276.50 = 587.58
- 219.93 = 367.65
- 76.84 = 290.81
look at the image below
Answers
Answer:
SA = 153.9m^2
Step-by-step explanation:
SA = 4[tex]\pi[/tex][tex]r^{2}[/tex]
r = 3.5
SA = 4[tex]\pi[/tex][tex](3.5)^{2}[/tex]
SA = 4[tex]\pi[/tex](12.25)
SA = 49[tex]\pi[/tex]
SA = 153.9m^2
The organic garden at a restaurant is rectangular in shape and has a perimeter of 84 feet. If the length of the garden is 24 ft longer than the width of the garden what is the area of the garden in sq ft
Answers
Answer:
297 square feet
Step-by-step explanation:
Let w represent the width of the garden.
Since the length is 24 ft longer than the width, it can be represented by w + 24.
Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and w + 24 as l, then solve for w:
p = 2l + 2w
84 = 2(w + 24) + 2w
84 = 2w + 48 + 2w
84 = 4w + 48
36 = 4w
9 = w
So, the width is 9 ft. Add 24 to this to find the length:
24 + 9 = 33
So, the length is 33 ft.
Find the area of the garden with the formula A = lw:
A = lw
A = (33)(9)
A = 297
The area of the garden is 297 square feet.
A survey on Internet usage was conducted among a group of 200 students in the school cafeteria. It was found that 100 students spend at least two hours online every day. Which of these is an example of descriptive statistics? a.) 50% of the students in the cafeteria spend at least two hours online each day. b.) 50% of the students in the school spend at least two hours online each day. c.) 50% of the students in a class spend at least two hours online each day. d.) 50% of the students surveyed spend at least two hours online each day.
Answers
Answer:
D) 50% of the students surveyed spend at least two hours online each day.
50% of the students surveyed spend at least two hours online each day.
Hence option d is correct.
Given that,
Number of students who spend at least two hours online = 100
Total number of students surveyed = 200
To calculate the percentage of students who spend at least two hours online each day,
we can use the formula:
percentage = (number of students who spend at least two hours online / total number of students surveyed) x 100%
Plugging in the values from the problem, we get:
percentage = (100 / 200) x 100% = 50%
Therefore, we can conclude that 50% of the students surveyed spend at least two hours online each day.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
A man starts repaying a loans with first insfallameny of rs.10 .If he increases the instalment by Rs 5 everything months, what amount will be paid by him in the 30the instalment.
Answers
Answer:
30×5=150
so 150+10=160
thus his payment in the 30th installment is
rs.160
Graph the line for y+1=-3/5(r-4) on a cordinate plane.
Answers
Answer: Screenshot attached
Step-by-step explanation:
If 1/2 of a loaf of brown bread costs R6,how much will 2 halves cost
Answers
Answer:
wdym R6
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6*2
Someone please help me with this
Answers
Answer:
Step-by-step explanation:
Each wagon in the Parley
Company of Travelers wagon
train was about 3.65 meters long.
If 12 wagons traveled end to
end, how long would the wagon
train be?
Answers
Answer:
43.8 meters
Step-by-step explanation:
12 x 3.65
One time Maria took 27 minutes to walk 1.8km to school. She left home at 07:48 . Write down the time Maria arrived at school
Answers
Answer:
8:15
Step-by-step explanation:
The quotient of three times a number and 4 is at least -16.
If anyone can help me I need to Define the variable and write an inequality, then solve.
Answers
Answer:
3x4≥−16
3x≥−64
x≥−643
x≥−2113
The answer is x≥−2113
Question 7 plz show ALL STEPS
Answers
Answer:
Function C is the only one that matches both definitions for the domain and range.
Step-by-step explanation:
First let's understand what the domain and range definitions mean in plain English.
The following statement means x is defined such that x can be any real number except for 1.
[tex]\{x | x \ne 1, x \epsilon R \}[/tex]
The following statement means y is defined such that y can be any real number except for 3.
[tex]\{y | y \ne 3, y \epsilon R \}[/tex]
So let's see what functions match those definitions. Take a look at the denominator of the functions in question 7, if we plug in x = 1 for any of them, we would be dividing by zero, which we know we can't do since the function would not be defined at that value. Therefore the domain definition is correct for all functions, we cannot use x = 1 for any of them.
Let's move on to the range. Our goal is to find a function where plugging in y = 3 would give us an undefined result. Simply plugin y = 3 into all of the given equations and simplify.
(A) We find that x = 0, and since the function is defined, we know that the range definition does not match.(B) We get the expression -12x + 9 = -3x, where x = 1. Once again the function is defined here, so the range does not match.(C) We get 3x - 3 = 3x, which simplifies to -3 = 0. But clearly -3 does not equal 0, which means the function was not defined for y = 3, which means our range definition matches.(D) We get -3x = 0, which simplifies to x = 0, which means our function is defined, and our range definition does not match.Therefore the function C is the only one that matches both definitions for the domain and range.
find the sum 38+39+40+41...+114+115
Answers
It seems like you want to find the sum of 38 to 115:
[tex] \displaystyle \large{38 + 39 + 40 + 41 + ... + 114 + 115}[/tex]
If we notice, this is arithmetic series or the sum of arithmetic sequences.
To find the sum of the sequences, there are three types of formulas but I will demonstrate only one and the best for this problem.
[tex] \displaystyle \large{S_n = \frac{n(a_1+a_n) }{2} }[/tex]
This formula only applies to the sequences that have the common difference = 1.
Given that a1 = first term of sequence/series, n = number of terms and a_n = last term
We know the first term which is 38 and the last term is 115. The problem here is the number of sequences.
To find the n, you can use the following formula.
[tex] \displaystyle \large{n = (a_n - a_1) + 1}[/tex]
Substitute an = 115 and a1 = 38 in the formula of finding n.
[tex] \displaystyle \large{n = (115 - 38) + 1} \\ \displaystyle \large{n = (77) + 1} \\ \displaystyle \large{n = 78}[/tex]
Therefore the number of sequences is 78.
Then we substitute an = 115, a1 = 38 and n = 78 in the sum formula.
[tex] \displaystyle \large{S_{78} = \frac{78(38+115) }{2} } \\ \displaystyle \large{S_{78} = \frac{39(38+115) }{1} } \\ \displaystyle \large{S_{78} = 39(153) } \\ \displaystyle \large \boxed{S_{78} = 5967}[/tex]
Hence, the sum is 5967.
Determine what type of model best fits the given situation: A 4% raise in salary each year.
Answers
the models aren't given..
Answer: no models given
Step-by-step explanation:
Find the area of the triangle with the following measurements: B = 67°, a = 13 cm, c = 21 cm
Answers
9514 1404 393
Answer:
125.6 cm²
Step-by-step explanation:
The relevant area formula is ...
Area = (1/2)ac·sin(B)
Area = (1/2)(13 cm)(21 cm)·sin(67°) ≈ 125.6 cm²
Need help plotting this on number line
Answers
Refer to the attaachment
Please answer ASAP will be greatly appreciated!!
Answers
To compare the teaching methodologies of two of its eighth-grade math teachers, a school decides to compare student test scores from the two classes throughout the year.
Which type of statistical study is the school conducting?
a) Matched-pair design study
b) Meta-analysis
c) Retrospective observational study
d) Prospective observational study
Answers
Answer:
D) Prospective observational study
Step-by-step explanation:
A study which gathers data moving forward is called a prospective study. Since the data is gathered on students without controlling the setting moving forward, it is a prospective observational design.
if a stone is dropped from a cliff that is 122.5m high then its height in meters after t seconds is h=122.5-4.9t^2. find its velocity after 2s
Answers
Answer:
Step-by-step explanation:
Let t = 2
h = 122.5 - 4.9·2² = 122.5-19.6 = 102.9
point C is located at (-4,3) on the coordinate plane. Point C is reflected over the x-axis to create point C'. What ordered pair describes the location of C'?
Answers
Answer:
(-4,-3)
Step-by-step explanation:
When a point (x,y) is reflected over the x-axis, you take the opposite so it becomes (x,-y).
(-4,3) --> (-4,-3)
Simplify: (3x2 − 5xy + 2y2) − (7x2 − 3xy − 3y2) (5 points)
−4x2 + 8xy − y2
−4x2 − 8xy + y2
−4x2 + 2xy − 5y2
−4x2 − 2xy + 5y2
Answers
Answer:
-4×2-2xy+5y2
Step-by-step explanation:
(6-5xy+2y2)-(14-3xy-3y2)
=6-5xy+2y2-14+3xy+3y2
=(6-14)+(-5xy+3xy)+(2y2+3y2)
=-4×2-2xy+5y2
Answer:
−4x2 − 2xy + 5y2
Step-by-step explanation:
The perimeter of a rectangle is 360 centimetres. If the ratio of its length to its width is 11:4, find the dimensions of the rectangle.
Answers
Answer: Length 132cm, Breadth 48cm
Explanation:
Perimeter = 360cm
Let the length and breadth be x
ATQ
2(11x + 4x) = 360
22x + 8x = 360
30x = 360
x = 360/30
x = 12
Length = 11×12
= 132 cm
Breadth = 4×12
= 48cm
Must click thanks and mark brainliest
Add :-
a+2b-3c, -3a+b+2cand 2a -3b+c
Answers
Answer:
[tex]a + 2b -3 c + - 3a + b + 2c + 2a - 3b + c \\ = a - 3a + 2a + 2b + b - 3b - 3c + 2c + c \\ 0a + 0b + 0c \\ thank \: you[/tex]
a+2b-3c+(-3a+b+2c) +(2a-3b+c)
=a+2b-3c-3a+b+2c+2a-3b+c
=a-3a+2b+2b+b-3b-3c++2b+c
=0a+0b+0c
=0
Therefore, the addition of the expressions, a+2b-3c+(-3a+b+2c) +(2a-3b+c) is zero or 0.
To know more about algebraic expressions
https://brainly.com/question/28307605
Please Help Polygons
Answers
Step-by-step explanation:
5.25....................
