The altitude to the hypotenuse of a right triangle bisects the hypotenuse. How does the length of the altitude compare with the length of the segments of the hypotenuse. Explain completely. Use Geogebra to help you set up a diagram and show evidence that supports your conclusion.
*Search up Geogebra and take a pic of your triangle*
And explain and show evidence that supports your conclusion.
Any questions please feel free, I will answer your questions.
[tex] \frac{1}{2}[/tex]will be the answer.
Step-by-step explanation:-
If the altitude to the hypotenuse of a right-angled triangle bisects the hypotenuse, then we can know that the triangle is Isosceles right triangle. (AB=AC)
Make AB=AC=2, so,
BC=[tex] \sqrt{ {2}^{2} + {2}^{2} } [/tex]= [tex] \sqrt{4 + 4} [/tex]= [tex] \sqrt{8} [/tex]
Prime factorizing, we get,
BC = [tex] \sqrt{2 \times 2 \times 2} [/tex]
Take two 2's outside by taking common because of "square" root,
⇢BC = [tex]2 \sqrt{2} [/tex]
BD = DC = [tex] \sqrt{2} [/tex],
AD = [tex] \sqrt{AB^{2} - BD^{2} } [/tex]= [tex] \sqrt{4 - 2} [/tex]= [tex] \sqrt{2} [/tex]
So, AD=BD=CD= [tex] \frac{1}{2}[/tex]BC
∴⇢[tex] \frac{AD}{BC} = \frac{1}{2} [/tex]
Read more about hypotenuse altitude question;
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PLEASE HELP ME PLEASE HELP ME I NEED HELP ON SIX PLEASE ANSWER ME AND DONT SEND LINKS THAT DONT WORK!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Pudge sold 8 tickets, Christi sold 19
tickets, Ace sold 38 tickets
Step-by-step explanation:
x = Pudge
3x - 5 Christi
2(3x-5) = Ace
Let x, 3x - 5 and 2(3x-5) be the tickets
x + (3x- 5) +2(3x - 5) = 65
Combine like terms
x+ (3x - 5) + 6x - 10 = 65
4x -5+6x - 10 = 65
10x - 5-10 = 65
Transpose -5 and -10 and change their
signs
10x = 65 +5+ 10
Add
10x = 80
Divide both sides by 10
10x/10x = 80/10
x =8
Pudge sold 8 tickets.
Evaluate x as 8
3x-5
3(8)-5
24-5 19
Christi sold 19 tickets.
2(3x-5)
2(3(3)- 5)
2(24- 5)
2(19)= 38
Ace sold 38 tickets.
Checking:
x+ (3x - 5) +2(3x - 5) = 65
8+(3(8)-5) +2(3(8) - 5) = 65
8 +19 +38 = 65
65 =65
Which expression is equivalent to 18x-54
Answer:
18(x - 3)
Step-by-step explanation:
18x - 54 ← factor out 18 from each term
= 18(x - 3)
A 6-pack of dish towels costs $21.36. What is the unit price?
Answer:
$3.56
Step-by-step explanation:
Divide 21.36 by 6 and you get 3.56
Answer:
d = $3.56
Step-by-step explanation:
d = the cost of each towel
6d = 21.36
/6 /6
d = $3.56
Check your answer:
6d = 21.36
6(3.56) = 21.36
21.36 = 21.36
Hope this helps!
Below are two regular polygons. Calculate the value of angle a. a a
Answer:
12°
Step-by-step explanation:
The outer polygon is a hexagon and the inner polygon is a pentagon.
Let's start by finding the measure of an interior angle of the (regular) hexagon.
The sum of the measures in a polygon is:
(n-2)(180)
Where n represents the amount of sides in a figure therefore...
(6-2)(180)=4(180)=720
Then, we divide 720 by 6 (because there are 6 angles), to find the measure of one angle...
720/6=120
Next, find the measure of an interior angles of a (regular) pentagon.
(n-2)(180)=(5-2)(180)=3(180)=540
Divide 540 by 5 (there are 5 angles), to find the measure of one angle...
540/5=108
Now, subtract 120 by 108 to find a...
120-108=12
a=12°
If y = x3 + x,
find the value of y when x=-2
Answer:
y=-8
Step-by-step explanation:
if x=-2 -2*3= -6, -6+-2=-8
Answer:
-8
Step-by-step explanation:
-2 times 3 is -6, and -6 plus -2 equals -8
given that €1 =£0.75
a how much is €530 in £
b £1 =€
Answer:
a) £397.50
b) £1 ≈ €1.33
Given:
€1 = £0.75
To find out:
a)
€530 = £0.75 × 530
€530 = £397.50
b)
Since £397.50 = €530:
£1 = €530 ÷ 397.5
£1 = €1.33333333333
£1 ≈ €1.33
please help fast i have 30 mins
Exit Ticket: Solve the triangle.
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.
T
.
Х
35
45°
Х
The value of x from the figure is 35√2
SOH CAH TOA identityFrom the given figur, we have the following parameters
figure
Opposite = 35
Angle = 45 degrees
Required
Hypotenuse = x
USing the theorem
Sin 45 = 35/x
x = 35/sin45
x = 35√2
Hence the value of x from the figure is 35√2
Learn more on soh cah toa here; https://brainly.com/question/20734777
Are the two triangles similar? How do you know?
(It’s number 12)
Answer:
it should be A
hope you like it
xy, equals, start fraction, 5, divided by, 2, end fraction, x?
Answer: y = 5/2 and x has infinitely possible values.
Step-by-step explanation:
We can first set up the equation.
xy = (5/2)x
We can divide by x on both sides.
y = 5/2 and x has infinitely possible values.
What is the value of m in this proportion?
1/2/3/5=13m
(they are all one big fraction)
Enter your answer as a fraction in simplest form in the box.
The value of m in the proportion is 5/78.
What is proportion?
The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.
To solve for m in the proportion:
1/2/3/5 = 13m
We can simplify the left-hand side of the equation by multiplying the first fraction by the reciprocal of the second fraction, and multiplying the third fraction by the reciprocal of the fourth fraction. This gives:
(1/2) ÷ (3/5) = 13m
(1/2) × (5/3) = 13m (using the rule a/b ÷ c/d = a/b × d/c)
5/6 = 13m
To isolate m, we can divide both sides of the equation by 13:
5/6 ÷ 13 = m
m = 5/78
Therefore, the value of m in the proportion is 5/78.
To learn more about the proportion visit:
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#SPJ1
The following box plot shows points awarded to dance teams that competed at a recent competition:
box plot with number line titled Points with 0 as the minimum, 50 as quartile 1, 70 as the median, 90 as quartile 3, and 100 as the maximum
Which dot plot best represents the box plot data?
Answer:
The answer is A
Step-by-step explanation:
I Just took the test a couple hours ago, and i got it right :)
Answer:
Graph A.
Step-by-step explanation:
Given that this is a symetrical graph, the only symetrical graph is the following one: Graph A.
Plus, I got it right one the 05.01 Representing Data test.
Hope this helps!
HELP ASAP
what is the median of the data set 92,63,22,80,63,71,44,35?
63
80
92
35
Answer:
it's 80 and 63 because it is in the middle.
Hope this helps!!!
A game board is set up by placing rhombus-shaped cards together.
A rhombus with horizontal diagonal length 8 centimeters and vertical diagonal length 13 centimeters.
What is the area of each card?
21 cm2
52 cm2
104 cm2
208 cm2
Answer:
it would actually be 52
Step-by-step explanation:
13x8=104
Then the formula to finding the area includes 1/2 as well so you would then multiply 104 times 1/2 according to the formula getting you 52. Not 104.
A right angle has a greater measure than a(n) blank angle and a lesser measure than a(n) blank angle
Answer:
Step-by-step explanation:
The angle measure of a right angle is 90 degrees.
Acute angles are angles with measures less than 90 degrees.
Obtuse angles are angles with measures more than 90 degrees.
So,
A right angle has a greater measure than a(n) acute angle and a lesser measure than a(n) obtuse angle
Anyone know this answer
Answer:
square, rectangle. parallelogram and rhombus have the 2 obtuse and 2 acute angles
Step-by-step explanation:
Find the geometric mean of 4 and 49
There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
Answer:
1/3 x 3/11 = 3/33 or 0.09, or 9 percent
Step-by-step explanation:
Answer:
16/144
4/12 × 4/12 = 16/144
how to simplify 8x+5x
Answer: 13x
Step-by-step explanation: Since 8x and 5x are like terms, we can add them together.
8x+5x=13x
Have a nice day! :)
Please find the perimeter and area of these shapes
Answer:
ABC shaded area = 36[tex]\pi[/tex] - 72 cm²
ABC shaded area perimeter = [tex]6\pi +12\sqrt{2}[/tex] cm
ABCD area = [tex]\dfrac52 \pi[/tex] cm²
ABCD perimeter = [tex]3\pi +2[/tex] cm
Step-by-step explanation:
Shape ABC
Assuming you want the area and perimeter of the shaded part of the shape only...
Area
Area of a sector = [tex]\dfrac12r^2\theta[/tex] (where r is the radius and [tex]\theta[/tex]
⇒ area of a sector = [tex]\dfrac12 \times 12^2\times \dfrac{\pi}{2} =36\pi \ \textsf{cm}^2[/tex]
Area of triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 12 x 12 = 72 cm²
Therefore, area of shaded area = area of sector - area of triangle
⇒ area = 36[tex]\pi[/tex] - 72 cm²
Perimeter
Arc length = [tex]r\theta[/tex] (where r is the radius and [tex]\theta[/tex]
⇒ arc length = [tex]12\times\dfrac12\pi =6\pi \ \textsf{cm}[/tex]
Hypotenuse of triangle = [tex]\sqrt{a^2+b^2}[/tex] (where a and b are the legs of the right triangle)
⇒ hypotenuse = [tex]\sqrt{12^2+12^2} =12\sqrt{2}[/tex] cm
Therefore, perimeter = arc length + hypotenuse
⇒ perimeter = [tex]6\pi +12\sqrt{2}[/tex] cm
Shape ABCD
Area
Area of a semicircle = [tex]\dfrac12 \pi r^2[/tex] (where r is the radius)
⇒ area of large semicircle ABC = [tex]\dfrac12 \times \pi \times 2^2=2\pi \ \textsf{cm}^2[/tex]
⇒ area of small semicircle AD = [tex]\dfrac12 \times \pi \times 1^2=\dfrac12\pi \ \textsf{cm}^2[/tex]
⇒ area of shape ABCD = [tex]\dfrac12 \pi + 2 \pi=\dfrac52 \pi \ \textsf{cm}^2[/tex]
Perimeter
1/2 circumference = [tex]\pi r[/tex]
⇒ perimeter = [tex]2\pi +2+\pi=3 \pi+2 \ \textsf{cm}[/tex]
Which of these is an example of an overdraft?
A. Having $517.98 in your checking account and writing a check for
$563.28
B. Having $322.15 in your checking account and writing a check for
$298.67
C. Having $133.74 in your checking account and writing a check for
$118.55
D. Having $485.39 in your checking account and writing a check for
$479.43
Why nobody had this
Answer:
So its A.
Step-by-step explanation:
For future ppl if they need it :)
Which set of ordered pairs does NOT represent a function?
PLEASE HELP HURRY
A. {(1, 2), (1, 3), (1, 4)}
B. {(2, 3), (3, 3), (4, 3)}
C. {(2, 2), (3, 3), (4, 4)}
D. {(0, 0), (1, 3), (2, 6)}
I think it would be B but I'm not sure
Answer:
A
Step-by-step explanation:
The reason why it does not represent a function is because a function cannot repeat itself in the x axis
PLS HELP ASAP!!
The vertices of a trapezoid are shown below.
(0,6), (6,12), (6,9), (0,12)
Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2?
A. (2,8) B. (3,3) C. (3,6) D. (12, 24)
Answer: C
Step-by-step explanation:
The triangles shown below must be congruent.
O True
O False
Answer:
The answer to the problem is True
Mason compares two plans for an online book club.
Which equation can be used to solve for the number of books, b, for which the cost of Plan A equals Plan B?
1. 12b=75b+3
2. 12b=3b+75
3. 12=75+3b
4. 12+3b=75
2. 112b=3b+75
Answer:
Book clubs in the classroom: 10 tips for success
4/19/201746 Comments
Picture
Whether you’re considering a classroom book club for the first time, or are already guiding your students through their third book this year, here’s a list of benefits and some tips for success you can employ right away!
NYC’s District 75 published their Middle School Units of Study, Developing Autonomy when Engaging with Literature, online. In it they list some of the benefits of book clubs in the classroom:
Book clubs:
Promote a love for literature and a positive attitude towards reading;
Reflect a student-centered model of literacy (employing the Gradual
Release of Responsibility);
Encourage extensive and intensive reading;
Invite natural discussions that lead to student inquiry and critical
Thinking;
Support diverse responses to text;
Foster interaction, cooperation and collaboration;
Provide choice and encourage responsibility;
Expose students to literature from multiple perspectives; and
Nurture reflection and self-evaluation.
Thoughtfully planned book clubs position learning in the hands of the students and provide discussion tools students can use as they work out their responses to the book.
We provide approaches to professional development that bridge theory and practice to generate solutions that work for a multitude of schools. With that bridge in mind, enjoy the following as you think through your classroom’s book club possibilities!
Step-by-step explanation:
pls brainlieste
which of the following lists of ordered pairs is a function?
Answer:
A (Only A)
Step-by-step explanation:
the X position can NOT repeat itself at all. In A it does not do that but in the rest it does
in B there is a 2,5 and a 2,2 (Repeating X)
in C there is a -1,4 and a -1, 7 (Repeating X)
in D there is a 3,1 and a 3,2 (Repeating X)
Answer:
A
Step-by-step explanation:
A function is a set of coordinate points that has a separate point for the x axis in every pair.
In order to find a function, just look at the first number in every parentheses and see if there are any multiples
Answer A has -2, 2, -3, and 3
Answer B has 2, 3, 4, and 2
Answer C has 0, -1, 1, and -1
Answer D has 1, 2, 3, and 3
Answer A is the only one that doesn't have repeating x points
Please give brainliest if I helped! :)
irrational
This equivalent to 27 is
also in the 359th digit
position of Pi
F
The circumference of a circle is 360 degrees, and the number 360 is the 359th digit point of pi.
Hope that helps :)
Nolan drives 15 miles in 30 minutes. If he drove three hours in total at the same rate,
how far did he go?
Before you try that problem, answer the question below.
How many minutes did Nolan drive in total?
Order he distance traveled from least to greatest
30 kph for 4 hours
5 kph for 10 hours
15 kph for 2 hours
35 kph for 1 hour
Answer:
15 for 2 = 30km
35 for 1 = 35km
5 for 10 = 50km
30 for 4 = 120km
Step-by-step explanation:
formula is
distance = speed x time
