The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
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Write equivalent expressions in factored form
2x + 8y
Answer:
2(x) + 8(y)
Step-by-step explanation:
Asap
It is for past paper that is due in tomorrow 29th
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
If A(x1, y1), B(x2, y2), (X3, Y3), and D(xx,ya) form two line segments, AB and CD, which condition needs to be met to prove AB ICD? ОА У4 -У, У, -у, - X4 - X X - X OB. 74-Y3 + X4-X = 0 V₂ - X, X - X, oc Yo-Yay 72-Y1--1 x - x x - X, OD. 12-y, *- X, = 1 x₂ - X, Yo-Y OE Y:-72. X.-X2-0 Y₂-X, X - X,
Answer:
The answer is option C..........
To prove that AB is parallel to CD, we need to show that the slope of AB is equal to the slope of CD.
What is line segment?A line segment is a section of a line with two endpoints. A line segment, unlike a line, has a fixed length.
To demonstrate that AB is parallel to CD, we must show that the slope of AB equals the slope of CD.
The slope of AB can be calculated using the formula:
mAB = (y2 - y1) / (x2 - x1)
Similarly, the slope of CD can be calculated using the formula:
mCD = (ya - Y3) / (xx - X3)
If mAB = mCD, then AB is parallel to CD.
Therefore, the condition that needs to be met to prove AB is parallel to CD is: (y2 - y1) / (x2 - x1) = (ya - Y3) / (xx - X3)
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HELP I NEED ANSWERS NOW
Answer:
I am not sure but I think it is c
Step-by-step explanation:
Use exponents to rewrite this expressions: 2 × 2 × 2 × 2 × 4 × 4 × 4
Answer:
2^10
Step-by-step explanation:
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Answer:
yxu and tux are the alternate interior angles
Step-by-step explanation:
you just go across and then the other side
so pretty much mirroring it twice
Find 50% of 108:
Find 25% of 108:
Find 75% of 108:
Answer:
50% of 108: 54
25% of 108: 27
75% of 108: 81
Step-by-step explanation:
Hope this helps have a nice day
Answer:
50% : 54
25% : 27
75% : 81
Step-by-step explanation:
If you multiply by the decimal version of the precentages, you will get the remaining amount of how much it is. so to find 50% of 108, you do 108 * 0.50 and it will give you the 50% of 108.
An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. Of those visitors, 45 people bought food at the cafeteria.Based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria? NO LINKS!
Answer:
525 will the answer
Step-by-step explanation:
help fast plz !!!!!!!!!
Answer:
It should be 35
Step-by-step explanation:
PLZ HELP!!! NO LINKS OR NON-ANSWERS!!!!!!!
I literally just did this lol ( b d and e) i did it on paper
Branliest will be helpful
Thx
Look at the image below, please! (I mark brainliest!)
Answer:
C, D, E
Step-by-step explanation:
10% of 33 is the same as the following, 0.1 * 33, 1/10 * 33, and 10/100 * 33, because they are all multiplying 33 by 0.1
The ratio of two similar triangles is 4/5. If a side in the larger triangle is 62, what is the length of the corresponding side in the smaller triangle?
Answer:
[tex]let \: the \: corresponding \: side \: of \: smaller \: triangl e \: be \: of \: length \: x \\ 4 \ratio5 = x \ratio62 \\ \frac{4}{5} = \frac{x}{62} \\ x = 62 \times \frac{4}{5} \\ x = 49.6[/tex]
I will try and give Brainliest
Answer:
[tex] \boxed{A. \: 134 \: in³} [/tex]
Explanation:
Volume of a cone: ⅓πr²h.
Where r is the radius, and h is the height.
The diameter is twice (2 times) the radius.
(⅓)(π)(4²)(16) – (⅓)(π)(4²)(8) =
256 / 3 π – 128 / 3 π =
128 / 3 π =
42 ⅔ π = 134.041287... ≈ 134 in³
What is the first quartile of 13,25,25,29,18,15,32
Answer:
The first lower quartile is 15
The median is 25
Step-by-step explanation:
33
3
Solve the proportion.
р
28
Answer:
p = 308
Step-by-step explanation:
dot plot shows the number of siblings each student has do at least 50% of students have more than 2 siblings? how do you know?
Answer:
Yes, because 2, 3, and 4 siblings added together will pass half of 20 ( the total of everything).
Step-by-step explanation:
Derek opened up a savings account that earns 1.25% interest, compounded monthly. If
he put $750 in the account to start, how much money would be in his account 7 years
later, assuming no additional money was deposited or withdrawn from the account?
Answer:
1537.92$
Step-by-step explanation:
Rectangle is graphed in the coordinate plane. The following are the vertices of the rectang A(- 2, 2), B(6, 2), C(6, 3) and D(- 2, 3) . What is the area of rectangle ABCD?
Answer:
Adenosine triphosphate
Answer:
The area of the rectangle ABCD will be 8 sq. units.
Step-by-step explanation:
The rectangle shape ABCD has vertices A(- 2,2), B(6,2), C(6,3) and D(- 2,3).
Presently, length of side AB = [6 - (- 2)] = 8 units.
{Since the line AB is corresponding to the x-pivot, so the length of the portion AB will be the contrast between the x-directions of the focuses An and B}
Once more, line BC is corresponding to y-pivot and thus the length BC = (3 - 2) = 1 units.
Subsequently, the space of the square shape ABCD will be (8 × 1) = 8 sq. units. (Answer)
Which one of the following U.S. customary units is closest in volume to I liter?
Answer:
c
Step-by-step explanation:
Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.
What is volume?The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The relation between the quart and the liter is found as;
1 quarts = 0.94635295 liters
The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.
Hence,option D is correct.
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Pls help me no links I am serious
Answer:
March
Step-by-step explanation:
It’s March because in February there were 45 or so students, but then in March it went all the way up to 120. So, 120 - 45 = 75, which is the most amount of students increasing in a month.
I hope this helped and it wasn’t so confusing!!
help me pls pls pls PPPPPPPPPPPPPPPLLLLLLLLLLLLLLLLSSSSSSSSSSSSSSSSS
Required area = 9× 5 + 6×3
= 45+18
= 63
Jill and Marlando are creating patterns
Answer:
15
Step-by-step explanation
3x5 is 15
One number is six less than a second number. Six times the first is 10 more than 4 times the second. Find the numbers
The value of the first number is
Answer:
1st number = 17
2nd number = 23
Step-by-step explanation:
x = 1st number
y = 2nd number
x = y - 6
6x = 10 + 4y
substitution method:
6(y - 6) = 10 + 4y
6y - 36 = 10 + 4y
2y - 36 = 10
2y = 46
y = 23
find 'x':
x = 23 - 6
x = 17
Help please lost on this question
Answer:
First one is 6
Second one is 4
Step-by-step explanation:
Right on egg
PLEASE HELP
What is the slope-intercept equation of the line shown below?
(1,5)
(-2,-4)
Answer
y=9/3x
Step-by-step explanation:
WILL MARK BRAINLIEST PLS HELP ME
Answer:
c 480 square inches your welcome
look at pic 10 pts will mark brainilest
Answer:
120 cm squared
Step-by-step explanation:
To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle
we can find the rectangle side by doing
21-6=15
then multiply it
15*8=120
A bag contains 8 blue coins and 10 red coins. A coin is removed at random and replaced by three of the other color.
Part 1 out of 3
What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. (PLEASE HELP)
Answer:
Wait can you re expain in the comments
Step-by-step explanation:
Solve each of these equations. Explain or show your reasoning.
2(x+5)=3x+1
3y−4=6−2y
3(n+2)=9(6−n)
What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2
9514 1404 393
Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area