To find the value of x for which WXYZ must be a parallelogram, set up an equation by equating the lengths of opposite sides. Solve the equation to find the value of x.
Explanation:To find the value of x for which WXYZ must be a parallelogram, we first need to understand the properties of parallelograms. One important property is that opposite sides are equal in length. Given that WZ = XY, we can set up an equation: 4x + 20 = x + 26. By solving this equation, we can find the value of x.
4x + 20 = x + 26
Subtracting x from both sides, we get:
3x + 20 = 26
Subtracting 20 from both sides, we get:
3x = 6
Dividing both sides by 3, we get:
x = 2
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Jake thinks that a rhombus is not always a parallelogram.Is jake correct?
Answer:
No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.
I hope this helps!
A rhombus is always a parallelogram, and its diagonals are perpendicular. Jake is incorrect in his assertion.
A rhombus is indeed always a parallelogram because a parallelogram is a quadrilateral with opposite sides parallel and a rhombus fits this definition.
To show that the diagonals of a rhombus are perpendicular, we use the fact that the scalar product of perpendicular vectors is zero. By representing the diagonals as vectors, we can demonstrate their perpendicularity.
Therefore, Jake is incorrect in thinking that a rhombus is not always a parallelogram - it is a specific type of parallelogram with additional properties.
the distance to the meeting place is 1047 miles if his car gets 29 mpg how many gallons of gas will he need
Answer:
36.1g
Step-by-step explanation:
29mi ..... 1 g
1047mi....x
x=1047×1/29=36.1g
Answer:
36.1 Gallons of gas
Step-by-step explanation:
x= gallons of gas
1047=29x
1047/29=x
36.1=x
36.1 gallons of gas
Jack has x pence,
Jill has 6 pence less than Jack.
Write down, in terms of x, the number of pence Jill has.
Final answer:
The amount of pence Jill has is written as x - 6, where x is the amount of pence Jack has.
Explanation:
If Jack has x pence, and Jill has 6 pence less than Jack, then the number of pence Jill has is x - 6. To express this in terms of x, we simply subtract 6 from x. So if Jack's amount of pence is represented by x, Jill's amount will be represented by the expression x - 6. It's similar to saying that if you have a certain number of something and someone else has 6 less, you would calculate the other person's amount by taking the number you have and subtracting 6 from it.
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 187 kilograms. A d of 3 large boxes and 2 small boxes has a total weight of 87. How much does each type of box weigh? Pls help
Answer:
Large Box = 18.5
Small Box = 15.75
Step-by-step explanation:
Let x = large box and y = small box
5x+6y=187
3x+2y=87
cancel out one equation
(5x+6y=187)•3=15x+18y=561
(3x+2y=87)•-5=15x+10y=435
15x+18y=561
-15x-10y=-435
–––––––––––
0+ 8y= 126
8y÷8 =126÷8
y=15.75
Substitute y into either original equation
3x+2(15.75)=87
3x+ 31.5=87
3x+ 31.5-31.5=87-31.5
3x=55.5
3x÷3=55.5÷3
x=18.5
A box is known to hold exactly 125 in3. Which side dimensions produce the most accurate measurement of the box?
Answer: 25 and 5 sowwy if i'm wrong.
Step-by-step explanation:
So we know that the box is 125 in3. What ___ times ____ is equal to = 125
So we should name the multiples of 125 which is : 1,5,25,125
25 times 5 is = 125 so there's your answer.
Answer:
4.9 x 5.1 x 5.0
Step-by-step explanation:
I just had this question
Explain how to determine whether the input/output pairs in a table could be related in a linear way.
At a lake, there are 2 boat rental shops. Shop A charges $210 for a 4-hour rental, and shop B charges $246 for a 6-hour rental. a. Which shop charges more per hour? b. How much more expensive is this shop? Explain how you figured out your answer (thought process). 1
explain in your own words no googling..plz
Answer:
Shop A is more expensive by $11.50 per hour
Step-by-step explanation:
I solved this three ways.
1) The difference in time for the two given charges is (6 -4) = 2 hours. The charge at Shop A for 2 hours is half the charge for 4 hours, so its equivalent rate for 6 hours is ...
Shop A rate for 6 hours = rate for 4 hours + rate for 2 hours
= $210 +105 = $315 . . . for 6 hours
This is way more than what Shop B charges for 6 hours.
__
2) The difference in the charges is $246 -$210 = $36 for 2 hours difference in time. This is way less than the equivalent charge from Shop A for 2 hours, so the rate from Shop A is definitely higher.
__
3) In order to answer the question, "how much more expensive?" we expect the rate difference will need to be expressed as a per-hour difference.* This means we have to figure the per-hour charge for each Shop and find the difference of them.
Shop A = $210/(4 h) = $52.50 /h
Shop B = $246/(6 h) = $41.00 /h
The rate from Shop A is higher by $52.50 -41.00 = $11.50 per hour.
_____
Comments on How Much More
* Using the first method, the rate difference is $315 -246 = $69 for 6 hours.
Using the second method, the rate difference is difficult to express exactly, but we can say the rate difference of $36 for 2 additional hours at Shop B is exceeded by the $105 expected charge for 2 additional hours at Shop A. That difference rate ($36/(2h)) isn't an actual charge anywhere, but represents a way to tell if the slope of one curve is more or less than the slope of the other.
If the rates were the same at the two shops, the charge at Shop B for 6 hours would be $315 as we figured in the first method, so the difference of $315 -210 = 105 would match exactly the increment at Shop A for 2 hours.
Personally, I see the second method as easiest to compute and most telling. However, to answer the question, "how much more expensive is it?", we needed to use one of the other methods.
pls help me with #7!! i don’t understand
What hole do I put it in
@jeff4967
Can you please add a picture
Can you please help me on -6x-3(1+5x)=-8(x-4)+4
Answer:
x=-3
Step-by-step explanation:
-6x-3(1+5x)=-8(x-4)+4
Step 1. Distribute:
-6x-3-15x=-8x+32+4
Step 2. Combine like terms:
-21x-3=-8x+36
Step 3. Add to different sides:
-13x=39
Step 4. Solve for x:
x=-3
-
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Given Equation:
[tex]-6x-3(1+5x)=-8(x-4)+4[/tex]
[tex]-6x-3(1)-3(5x)=-8(x)-8(-4)+4\\\\-6x-3-15x=-8x+32+4\\\\-6x-15x-3=-8x+36\\\\-21x-3=-8x+36\\\\[/tex]
Adding '[tex]8x[/tex]' both the sides:
[tex]-21x+8x-3=-8x+8x+36\\\\-13x-3=36[/tex]
Adding '3' both the side:
[tex]-13x-3+3=36+3\\\\-13x=39\\\\x=\frac{39}{-13} \\\\[/tex]
[tex]x=-3[/tex]
At Billy's Burgers, two bacon cheeseburgers and three orders or curly fries would cost $ 16.45. One order of curly fries and three bacon cheeseburgers would cost $ 16.66. What is the cost of one bacon cheeseburger?
I think I leaned how to do this before but I just can not remember how to do this. Please show me how to do this in steps.
Answer:
Curly fries=$2.29 per order
Bacon=$4.79 per order
Step-by-step explanation:
let b denote bacon and f denote curly fries.
We represent the situations using inequalities as:
[tex]2b+3f=16.45\ \ \ \ \ ...i\\\\1f+3b=16.66\ \ \ \ \ ...ii[/tex]
#we make f the subject of the formula in ii and substitute in i:
[tex]f=16.66-3b\\\\\#substitute \ in \ i\\\\2b+3f=16.45\\\\2b+3(16.66-3b)=16.45\\\\\\2b+49.98-9b=16.45\\\\-7b=-33.53\\\\b=4.79\\\\f=16.66-3\times 4.79\\\\=f=2.29[/tex]
Hence, one order of curly fries costs $2.29 and one order of bacon costs $4.79
Find the 11th term of the geometric sequence 2, -6, 18, ...
Answer:
-118098
Step-by-step explanation:
Answer: 118098
Step-by-step explanation:
DM
A professor surveys his students about their opinions on how well he taught the course. He puts this survey on the last page of
his final exam. Which type of bias will most likely have the strongest effect on the survey results?
Not all students will have the access needed to find the survey
Students may not truthfully reply because they fear it will affect their grade
Students may not understand the wording used in the survey
Not all students will be represented in the survey sample.
Answer:
students may not truthfully reply as they fear it will affect their grade
Step-by-step explanation:
The senior classes at High School A and High School B planned separate trips to New York City.
The senior class at High School A rented and filled 4 vans and 6 buses with 360 students. High
School B rented and filled 3 vans and 3 buses with 195 students. Every van had the same
number of students in it as did the buses. Find the number of students in each van and in each
bus.
Including scholarships and financial aid, Brett has $28,000 to spend on
college. If the total cost of his college education is
he will have
enough resources to pay.
O A. $26,000
O B. $32,000
O c. $29,000
O D. $35,000
SUBMIT
Ratios equivalent to 3:2
Answer:
6:4,9:6,12:8,15:10
Step-by-step explanation:
Ratios equivalent to 3:2
3:2 = 3/2
1st equivalent = 3×2/2×2 = 6/4 = 6:4
2nd equivalent = 3×3/2×3 = 9/6 = 9:6
3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8
4th equivalent = 3×5/2×5 = 15/10 = 15:10
I hope this was helpful, please mark as brainliest
2. I pay $4.00 for my train fare everyday. This week, my train
fare is increased by 10%. What is my new train fare?
(100% of $4,00) + (10% of 4.00 )
[tex](100 \div of \:80) + (15 \div of \:80)[/tex]
Answer: the correct option is (100% of $4) + (10% of $4)
Step-by-step explanation:
Check:
100% of $4
= 100/ 100 x 4
= $4, which is stated as the everyday train fare
10% increase = 10/100 × 4
= 0.1 × 4
= $0.4
New train fare = $4 + $0.4
= $4.4
I hope this helps, please mark as brainliest.
This pattern follows the "multiply by 3" rule. What is the next number in the pattern?
3, 9, 27, 81, ________
A. 243
B. 244
C. 288
D. 343
Answer:
A. 243
Step-by-step explanation:
81 multiplied by 3
Answer:243
Step-by-step explanation: count by 3
The ratio of length , breadth,and height of cuboid is 3:2:1.If the volume of the cuboid is 48 cubic meter,find the base area of the cuboid
Base area of the cuboid = 24 square inches
Solution:
Volume of cuboid formula = length × breadth × height
Ratio of l : b : h = 3 : 2 : 1
Let us take length be 3x, breadth be 2x and height be x.
Volume of cuboid = 48 cubic meter
length × breadth × height = 48
[tex]3x\times 2x \times x = 48[/tex]
[tex]6x^3=48[/tex]
Divide by 6 on both sides of the equation.
[tex]x^3=8[/tex]
[tex]x^3=2^3[/tex]
Taking cube root on both sides, we get
x = 2
Base area of the cuboid = length × breadth
= 3(2) × 2(2)
= 6 × 4
= 24
Base area of the cuboid = 24 square inches
What is the area of the figure?
Answer:
48
because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have
-4(x+ 9) = 24
i need my homework done lol .
Step-by-step explanation:
[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]
Mike hiked to a lake in 3.5 hours at an average rate of 3 2/5
miles per hour. Pedro hiked the same distance at a rate of 3 4/5
miles per hour. How long did it take Pedro to reach the lake? Round to the hundredths place.
Mike hiked 11.75 miles to the lake which took Pedro approximately 3.09 hours to cover at his speed.
Explanation:The subject of this question is mathematics, more specifically the concept of speed, distance, and time. The first step is to calculate the distance that Mike travels. We know that distance equals speed times time, so Mike traveled 3.5 hours * 3 2/5 miles per hour, which equals 11.75 miles. This is the distance to the lake.
Now, we take the same distance and use Pedro's average speed to figure out how long it took him. Using the formula: Time equals Distance divided by Speed, we can calculate Pedro's time as: Time = 11.75 miles / 3 4/5 miles per hour. To simplify the numerical calculation, we turn 3 4/5 into a decimal form, which is 3.8. So, Time equals 11.75 miles / 3.8 miles per hour. This gives us around 3.09 hours, which we would round to 3.09 hours to the hundredths place.
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-x+5x=48
will give brainlist and thx if correct
Answer:
x=12
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
Given
- x + 5x = 48, that is
4x = 48 ( divide both sides by 4 )
x = 12
How does knowing how to find the area of a
rectangle help you determine the area of other
polygons?
Answer:
https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5 0C 1b 2s O5 M
Answer: maybe divide the rectangle
Step-by-step explanation:
To find the answer of polygen
How much would $200 invested at 5% interest compounded monthly be
worth after 9 years? Round your answer to the nearest cent.
A(t) = P(1+(r/n))^(nt)
Answer:
A = $200(1 + .05/12)¹⁰⁸ = $313.37
What is the measure of the angle between two consecutive vertices of a
regular decagon (ten-sided shape)? *
Answer:
36 degrees
Step-by-step explanation:
we know that
The measure of the angle between two consecutive vertices of a regular polygon is given by the formula
[tex]\frac{360^o}{n}[/tex]
where
n is the number of sides
In this problem
n=10 (regular decagon)
so
[tex]\frac{360^o}{10}=36^o[/tex]
The table shows the frequency of colors in a bag of skittles. Based on this data, what is the approximate probability that a BLUE skittle is pulled from a bag of skittles? (round to the nearest hundredth)
Answer:
b
Step-by-step explanation:
Answer:
0.21
Step-by-step explanation:
Tommy has 6 more than 3 times the amount of money in his bank account than Judy. Judy has $7500 more than a number in her account. How much money does Judy and Tommy have in each their accounts?
Answer: Judy: n+7500
Tommy: 3(n+7500)+6
Step-by-step explanation:
Which transformation would not create an image and a pre-image that are CONGRUENT figures?
A
A dilation with a scale factor of 1
B
A translation to the right and up.
C
A dilation with a scale factor of 2.
D
A reflection over the x-axis
Answer:
points
Step-by-step explanation:
Answer:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
Step-by-step explanation:
:0
A small town had a population 960 people last year. The population grew to 1200 people this year. By what percentage did the population grow?
Answer:
25%
Step-by-step explanation:
1200/960 = 1.25
So it grew by 25%