Parallelograms PQRS and QRTU have the same base QR and height. it proves that areas are equal as base × height remains constant.
To prove that the area of parallelograms PQRS and QRTU are equal,
Use the concept that parallelograms with the same base and between the same parallel lines have equal areas.
Parallelograms PQRS and QRTU
Same base QR
Between the same parallel lines PT and QR
Proof,
Draw a diagram with parallelograms PQRS and QRTU sharing the common base QR and being situated between parallel lines PT and QR.
Since PQRS and QRTU share the same base QR and are between the same parallel lines PT and QR, their heights (perpendicular distances from base QR) are equal.
Let's call this height 'h'.
The area of a parallelogram is given by the formula:
Area = base × height.
For PQRS, its area would be: Area of PQRS = QR × h.
For QRTU, its area would be: Area of QRTU = QR × h.
Since both parallelograms have the same base 'QR' and the same height 'h', their areas are equal.
Therefore, it is proved that the area of parallelograms PQRS and QRTU are equal.
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Rationalise the denominator and simplify 6/√3
⇛2√3.
Step-by-step explanation:
Given,
6/√3
The denominator is √3.
We know that
The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.
⇛(6/√3)×(√3/√3)
⇛(6√3)/(√3)²
⇛(6√3)/(√3*3)
⇛(6√3)/3
⇛2√3
Hence, the denominator is rationalised.
Parallel to y=-3x+4,xintercept at 4
Answer: Equation: y=−3x+12
Explanation:
The x-intercept means y=0andx=4
Use the equation:
0=−3⋅4+b
Add 3⋅4=12 to both sides:
12=12
−12
=b→b=12
plz mark brainleist
A line has an x-intercept of 2 and a y-intercept of 6. Find the slope of the line.
A. -3
B. 3
C. 1/3
D. -1/3
9514 1404 393
Answer:
A. -3
Step-by-step explanation:
The line goes down 6 units for a run of 2 units to the right. The slope is ...
slope = rise/run = -6/2
slope = -3
Which number is IRRATIONAL?
A)
16
B)
25
C)
48
D)
100
Answer:
E
Step-by-step explanation:
For the function f(x) = 4x – 6, find x if f(x) = 22
Answer:
x=7
Step-by-step explanation:
Can someone show me how to work out this example?
(5+44+182−20−10)÷(2+5)
Answer:
approximately 35.9
Step-by-step explanation:
(5+44+182-20-10)÷(2+5)
(99+182-20-10)÷(7)
(281-20-10)÷(7)
(261-10)÷÷(7)
(251)÷(7)
approximately 35.9
PLEASE HELP ASAP!!! /
Answer:
3:4
3/4
3 to 4
The ratio 3:7 represents how many smiley faces there are compared to how many shapes there are in total.
11:28
Answer:
Faces to Blocks
3:4 3/4 3 to 4
Blocks to faces
4:3 4/3 4 to 3
Ratio 3:7 represents
a part to whole ratio
The math problem
28-17 = 11 so the answer is 11:28
Step-by-step explanation:
The difference of 8 times a number and 2
A kite is out on 32 yards of string . The kite is directly above the dge of the pond. The edge of the pond is 30 yards
D=m/v=35.0g/30.0 cm3
whats the distance between (1,2) and (4,-2)
Answer:
5 units
Step-by-step explanation:
Distance formula:
[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Square root of those quantities. x2 and x1 mean the x values from one coordinate and the other, and the same goes for the y-coordinates. So y2-y1 represents (-2) - (2) and x2-x1 = (4) - (1). The answers you get (-4 and 3, respectively), now have to be squared, then added together. So (-4)^2 = 16 and (3)^2 = 9. Add 16 and 9 together you get 25. Final answer, you square root 25 and you get 5. Technically the square root of 25 is both positive and negative 5, but you cannot get a negative number for distance in this case (vectors are different).
The amount Ricky charges for his lawn service varies directly with the number of hours it takes to complete the job. If Ricky charges $112.50 for a 3-hour job, how much money would he charge for a 5-hour job?
The charge for a 5-hour job will be $187.5.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Ricky charges $112.50 for a 3-hour job.
Now,
Since, Ricky charges for 3 hour job = $112.50
Hence, The charges for 1 hour job = $112.50 / 3
= $37.5
So, The charges for 5 hour job = 5 x $37.5
= $187.5
Thus, The charge for a 5-hour job will be $187.5.
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What is the area of the pentagon?
[tex]354cm^{2}[/tex]
[tex]297cm^{2}[/tex]
[tex]300cm^{2}[/tex]
[tex]360cm^{2}[/tex]
Answer:
354 cm^2 is the correct answer
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Liam had a container of oatmeal that contained 5 1/2 cups of oatmeal. Liam ate 4/9 cup of oatmeal every morning before school for a week. Which is the best estimate of the number of cups of oatmeal that Liam had left in the container at the end of the five-day week?
2 1/2
3
3 1/2
5
solve this 6x – 18 < 27
Answer: x < [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Hey there! If you have any questions please feel free to comment on it below.
Step 1: Add 18 to both sides
6x < 27 + 18
Step 2: Simplify 27 + 18 to 45.
6x < 45
Step 3: Divide by side by 6.
x < [tex]\frac{45}{6}[/tex]
Step 4: Simplify.
x < [tex]\frac{15}{2}[/tex]
~I hope I helped you!~
Answer:
Step-by-step explanation:
here you go mate
step 1
6x – 18 < 27 equation
step 2
6x-18(+18)<27(+18) add +18 to both sides
6x<45
step 3
6x/6<45/6 divide by 6
answer
x=15/2
1:Write 2 whole numbers that are less than 941,020
Answer:
900,000500,000Step-by-step explanation:
There are lots of numbers that are less than 941,020
( Exactly 941,019 without Negative Numbers )
( If Negative Numbers are involved, it's infinity )
Hope this helps! <3
Answer:
5 and 9303 (Those are just examples)
Step-by-step explanation:
You can choose any number that is below 941,020, and hs no decimal places, so 0, 6, 930, and 90493 all work.
Help! Determine if the following number is rational or irrational: -0.1
Answer: Rational
Step-by-step explanation:
За – 15b – 2c|
HELPPP!!
Answer:
what are solving it with??
How many solutions does the equation 9(x – 3) = 9x – 27 have?
Answer:2
Step-by-step explanation:
HELP ASAP PLEASE 10 POINTS
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
[tex]b_2 = -2.5[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]
Required
Determine the value of T
[tex]\frac{1}{2}(4.5 + b_2) * 6 = 21[/tex]
Multiply both sides by 2
[tex]2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2[/tex]
[tex](4.5 + b_2) * 6 = 42[/tex]
Divide through by 6
[tex]4.5 + b_2 = 42/6``[/tex]
[tex]4.5 + b_2 = 7[/tex]
[tex]b_2 = 7 - 4.5[/tex]
[tex]b_2 = -2.5[/tex]
Is 9 rational or irrational?
Answer:
9 is a rational number.
Step-by-step explanation:
Answer:
irrational
Step-by-step explanation:
How the number 9 is irrational is that irrational numbers are numbers that are not expressed as fractions or decimals. So some examples of irrational numbers is 1,2,6,22,12,9
can I get brainlest?
Helppp I need help so can you help me I’ll give u Brainly master!!!!
Answer:
Your answer would be C.
Hope this helps!-xoxo
Exspress the ratio from the simplest form 72:36
Your sister is selling Girl Scout cookies that cost $3.50 per box. Your family bought 6 boxes. How many more boxes of
cookies does your sister need to sell to raise $196?
Answer:
She needs $175.
Step-by-step explanation:
3.50 X 6= $21. (196-21=175)
So since she needs $196 and per box it would be $3.50 and 6 boxes is $21 total, she would need to sell 56 boxes total to get to her goal, but since her parents bought 6 boxes already she will only need 50 more.
Help!!!!
very needed
Answer:
it's the second one
10(group fee) + 5.5x ($ per ticket)
[tex] \leqslant [/tex]
(the amount should be less than or equal to 125) 125(the amount that the teacher can spend)
The amount of memory available on an iPhone seems like it doubles with each new version. If this is true, and the first version had 4 gigabytes of memory, how much memory does the 10th version have?
Answer:
40
Step-by-step explanation:
Multiply 10 by 4 which 4 represents the starting Iphone memory storage and then 10 represents the value of memory for the 10th model.
By solving the exponent, we find that the 10th version will have 2048 gigabytes of memory.
What are exponents?An exponent is a number that is placed as a superscript over a number. In other words, it indicates that the base is raised to a certain power.
[tex]= 4 * 2^{9} = 2048[/tex]
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You are about to graph the linear equation y=1/4x+8 but you need to determine the scale of the x and y axes first. Select the best option for a scale for both the x-axis and y-axis (one of each). A) x scale of -5 to 5 B) x scale of -15 to 15 C) y scale of 0 to 15 D) y scale of -30 to 30 (10 POINTS AND BRAINLIST IF RIGHT WILL REPORT WRONG ANSWERS)
Answer:
B) x scale of -15 to 15
C) y scale of 0 to 15
Step-by-step explanation:
The change in y-value is 1/4 of the change in x-value, and the y-intercept is 8. That means a y-scale of -30 to 30 would not be well-utilized over a small range of x. (It would take an x-range of about 200 to make much use of that y-scale.)
An appropriate y-scale is one that has 8 near its middle. The corresponding x-scale is then roughly ±4 times half the y-scale. The closest choices are ...
-15 ≤ x ≤ 15 . . . . choice B
0 ≤ y ≤ 15 . . . . . . choice C
I need help with this
how many feet should be cut off to make a plank 5 7/8 feet long
Answer:
2 5/8
Step-by-step explanation:
5 7/8 + 2 5/8= 8 1/2
Answer:
3 4/8 or 3 1/2
Step-by-step explanation:
