Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 8 cm, 12 cm, and 13 cm.
O A. Knowing that 52 + 122 = 13^2, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.
O B. Knowing that 52 + 122 = 13^2, draw any two of the sides with a right angle between them. The third side will fit to form a right triangle.
O C. Knowing that 52 + 82 = (slash in the eqaul sign) 12^2, draw the 5 cm side and the 8 cm side with a right angle between them. The 12 cm side will fit to form a right triangle.
D. Knowing that 82 + 122 > 13^2, draw the 8 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.
Answers
Answer: Choice A.
Knowing that 5^2 + 12^2 = 13^2, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to form a right triangle.
The diagram is shown below.
The converse of the pythagorean theorem states that if a^2+b^2 = c^2, then we have a right triangle with hypotenuse c. The hypotenuse is always the longest side and always opposite the 90 degree angle.
Note how 5^2+12^2 = 25+144 = 169 while 13^2 = 169, so that shows how 5^2+12^2 = 13^2 is true.
Answer:
yes for the final exam its A
Step-by-step explanation:
Related Questions
A P E X
If each of the numbers in the following data set were multiplied by 18, what would be the new median of the data set? 14, 20, 18, 58, 71, 36
A. 504
B. 360
C. 324
D. 648
Answers
Answer:
504
step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
504
Evaluate the expression, 7x+8(x-3). Assume that x=4.
Answers
Answer: 36
Step-by-step explanation:
(7x4) +8 (4-3)
Answer:
22
Step-by-step explanation:
If x = 4 then the equation will be
7(4) + 8(4 -3)
14 + 32 - 24
= 22
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of $1,000 per first-class seat, the total selling price for one new row is
f(r) = 4,000r. Each row in first class eliminates two rows of economy seats. Using the average selling price of $150 per economy seat, the total price for each pair of removed rows is e(r) = 1,800r.
Which is d(r), the profit or loss for adding r rows of first class seats?
A. d(r) = 2,200r
B. d(r) = 5,800r
C. d(r) = –2,200r
D. d(r) = –5,800r
Answers
Step-by-step explanation:
From the original question, we can rewrite this as:
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?
f(r) = 4000r
e(r) = 1800r
d(r) = ? (profit or loss)
Assuming we had added a row of first class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, OPTION A.) d(r) = 2200r
The value of d(r) will be 2200r. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Assuming we had added a row of first-class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, the value of d(r) will be 2200r. The correct option is A.
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(ONLY TWO CAPITAL LETTERS) PLEASE ANSWER CORRECTLY!!!!!! WILL MARK BRIANLIEST!!!!!!!! URGENT
Answers
HELP ME ASAP PLEASE!!!
Answers
Answer:
51
Step-by-step explanation:
5x+6=9x-30
5x=9x-36
4x=36
x= 9
5×9+6=51
How many of these figures have at least one vertex?
Answers
Answer:
2
Step-by-step explanation:
Vertex means point where three edges meet . Two middle figures have vertices
What is the slope? ???????
Answers
Answer:
1/2
Step-by-step explanation:
slope and y-intercept of the graph of 25x -20y =100
Answers
Step-by-step explanation:
First, we need to put this standard form into slope-intercept form
To do this you need to move the "y" to all by itself
-25x+25x-20y=100-25x
-20y=100-25x
y=5/4x-5
Answer:
y=5/4x-5
The slope is-5/4 and the -intercept is (0,5)
How to find the slop?
Locating the y-intercept on a graph requires knowing the value of y at x=0. This is where the graph intersects the y-axis.
25x−20y=100
20y = 100 + 25x
20y=100+25x
y = [tex]5 + \frac{5}{4}[/tex]
She concluded that the slope is [tex]\frac{5}{4}[/tex]
and the y-intercept is (0,5).
y = mx + b where m is the slope and b is the y-intercept. So, the slope is 5/4 and the y-intercept is -5.
The slope is-5/4 and the -intercept is (0,5)
Finding the value of y at x=0 will allow you to locate the y-intercept on a graph. The graph's intersection with the y-axis occurs here.To learn more about slop refer to:
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Magdala is modeling 2.12÷4 how to cheeks change the place value blocks so she can make 4 equal shares
Answers
Answer and explanation:
If Magdala is trying to divide 2.12 by 4 then she would definitely need to change the place value of the dividend(2.12) and the divisor(4). In other words, both numbers need to be whole numbers.
To make 2.12 a whole number, we shift the decimal point two places to the right of the decimal point to get 212. We do same for 4 to get 400, since both numbers have to have their place values adjusted equally.
We divide 212 by 400 to get 0.53
Therefore 2.12 divided by 4= 0.53
Can someone please help me?
Answers
_Answer:
y=4x+3
Step-by-step explanation:
Plss help me I need help I have a f
Answers
Answer:
1 1/7
Step-by-step explanation:
By the way for help on math I would reccomend Mathpapa it helps a lot!
Find the values of x and y.
Answers
Answer:
omg I absolutely love your profile picture:)
if a chocolate cake is divided into six equal and each has 280 calories, how many calories are in the whole cake
Answers
Answer:
1680
Step-by-step explanation:
280 x 6 = 1680
help pleaseeeeeeee i will give brainlest!
Answers
Answer:
35% chance
Step-by-step explanation:
Stay safe and healthy
Find the exact value of x.
Answers
Answer:
by using Pythagoras law
x²=30²+16²
x²=1156
x=√1156=34is the exact value of x
write the product using exponents.
3x3x3(y)(y)(y)
what is the expression?
Answers
Answer:
The answer is 3x +y^3
Step-by-step explanation:
I hope this helps
Answer:
ew math yuck
Step-by-step explanation:
I’m going insane about math whoever created math I am glad is dead anyway help
Answers
Answer and Step-by-step explanation:
Since we know that this figure is a square pyramid, the base is a square. And the area of a square is its side multiplied by its side, which the sides would equal the same (since it is a square).
So, we square 625 to find One side of the square.
[tex]\sqrt{625} = 25[/tex]
We get 25 as the side.
The volume equation for a square pyramid is:
[tex]V = a^{2}( \frac{h}{3} )[/tex]
Where a is the side length of the base, and h is the height.
Plug in the values.
[tex]V = (25)^{2} (\frac{30}{3} )\\\\V = 625(10)\\\\V = 6250[/tex]
The volume of the square pyramid is 6250 cubic meters.
#teamtrees #WAP (Water And Plant)
can someone help with this question please
Answers
Answer:
25sqrt(3)
Step-by-step explanation:
The answer to b would be 12 because 4sqrt(3) * sqrt(3) = 12
The area is bh/2, so take 12 * 4sqrt(3) and divide by two
Combine the following expressions. 2√k + √k - 3√k
Answers
Answer:
The answer is zero
Step-by-step explanation:
[tex]2 \sqrt{k} + \sqrt{k} - 3 \sqrt{k} = 3 \sqrt{k} - 3 \sqrt{k} = 0[/tex]
6 5/8 −3 2/9 ≈
HELP ME PLEASE
Answers
Answer:
3 29/81
Step-by-step explanation:
6 5/8-3 2/9
6 45/81-3 16/81
3 29/81
Answer:
3 29/72
Step-by-step explanation:
6 5/8 − 3 2/9 = 3 29/72
Hope this helps!
(If right, pls put brainlist)
A bike tire just ran over a nail, and it is losing pressure at a rate of 5% every minute. The tire pressure is currently 900 kilopascals. What will it be in 7 minutes?
Answers
9514 1404 393
Answer:
629 kilopascals
Step-by-step explanation:
The tire pressure is given by the exponential function ...
p(t) = 900·0.95^t
where t is in minutes and p is in kilopascals.
p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals
write an equation that is in slope-intercept form for the line that passes through the pair of points: (4, -2) and (8, -6)
Answers
Answer:
Step-by-step explanation:
4-8 -2- -6
4^2 8^2
16+64
80
8.9
In trapezoid TRAP, the parallel bases are TP and RA
Is UV the midline of trapezoid TRAP? Why or why not?
Use the Trapezoid Midline Theorem that states the properties of
the midline of a trapezoid to justify your answer.
Answers
9514 1404 393
Answer:
UV is not the midline. (The midline length is 4.5.)
Step-by-step explanation:
The trapezoid midline is the average of the lengths of the bases. Here, the midline length would be ...
(7 ft +2 ft)/2 = (9 ft)/2 = 4.5 ft
The line length shown is 3.5 ft, so the segment shown is not the midline.
What is the answer??? This is for geometry by the way.
Answers
Answer:
3
Step-by-step explanation:
Centroid theorem states that AX/AE = 2/3
Substitute in and XE = 3
What is (f + g)(x)?
f(x) = -3x^2
g(x) = -5x + 4
Answers
Answer:
x=4 and y= 2/3
Step-by-step explanation:
g(x)= -5x+4
g(0)= -5(0)+4
=4
(0,4)
then you find x
1(x)= -5x+4
x= -5x+4
x+5x = 4
6x ÷ 6 =4÷6
x = 2/3 or ⅔
What’s the answer?
I want it now! Please?
Answers
Answer:
1.827
Step-by-step explanation:
9. Make Sense and Persevere Write and graph
exponential functions to model the number
of students at School A and at School B as a
function of number of years. In about how
many years will the number of students at both
schools be approximately the same? Explain
how you can use a graph to determine the
answer
School A
School B
240 students
decreasing at
an awal sale of 2%
180 students
increasing at
an annual rate of 3%
Answers
Answer:
school a
Step-by-step explanation:
240 students
brbdbbsguZkks
You go to a restaurant and order $137.61 worth of food. You decide to tip the waiter
18%. You also have to pay a tax of 6.5% on the original bill. What is the final cost of the meal?
Step by Step
Answers
Answer:
I got 2
Step-by-step explanation:
The final cost of meal is $171.35
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
price of food = $137 . 61
Tip = 18%
tax = 6.5%
Now, price after giving tip
=137.61 x 0.18
= 24.7698
and, after tax
=137.61 x 0.065
=8.94465
Hence, final cost of meal = 137.61 + 24.7698 + 8.94465 = $171.35
Learn more about unitary method here:
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In ΔEFG, the measure of ∠G=90°, GE = 32 feet, and EF = 41 feet. Find the measure of ∠E to the nearest tenth of a degree.
Answers
Answer:
m∠E = 38.7°
Step-by-step explanation:
If you make a drawing it will help. What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.
The cosine of a angle = adjacent side/hypotenuse.
Therefore cos E = 32/41
arccos (32/41) = 38.7°
Answer:
The answer is 38.7
Step-by-step explanation:
simplify (12a5 − 6a − 10a3) − (10a − 2a5 − 14a4)
Answers
Answer: 14a^5+14a^4-10a^3-16a
Step-by-step explanation: sorry if it confusing but ^3 as an example is supposed to be the mini number that goes on top of that number.
-hope this helps