Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong and show Jocelyn the correct solution.
Answers
Complete Question:
Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.
We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle
Answer/Step-by-step explanation:
Jocelyn used a wrong equation and statement.
Here's what she should have stated and done.
Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².
Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.
Therefore, in this case,
c = 45
b = 27
a = 36
Thus, what we need to check to be true would be:
36² + 27² = 45² (this is where Jocelyn made a mistake. Jocelyn wrote 27² + 45² = 36² rather)
Let's check if it's true.
2,025 = 2,025 (this is true)
Therefore, the triangle is a right triangle.
Related Questions
In triangle RST the vertices have coordinates of R(-1,10),S(5,4)and T (-4,-2). If the midpoints of side RS and RT were connected with a segment, what would the slope of this segment be?
Plz helppp
Answers
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Midpoint of a line segment joining points [tex](x,y)[/tex] and [tex](u,v)[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2} )[/tex]
Points are R(-1,10),S(5,4)and T (-4,-2).
Midpoint of RS = [tex](\frac{-1+5}{2},\frac{10+4}{2} )=(\frac{4}{2},\frac{14}{2} )=(2,7 )[/tex]
Midpoint of RT = [tex](\frac{-1-4}{2},\frac{10-2}{2} )=(\frac{-5}{2},\frac{8}{2} )=(\frac{-5}{2},4)[/tex]
Slope of a line joining points [tex](a,b)[/tex] and [tex](c,d)[/tex] is given by [tex]\frac{d-b}{c-a}[/tex]
Slope of line joining midpoints of side RS and RT = [tex](\frac{4-7}{\frac{-5}{2}-2 })=(\frac{-3}{\frac{-9}{2} })=\frac{2}{3}[/tex]
.Find the value of 4st - 2t if t = 3 and s = 2.
A. 24
B. 20
C. 18
D. 12
Answers
Answer:
C) 18
Step-by-step explanation:
4st - 2t
4(2)(3) - 2(3)
24 - 6
18
Find the measure of angle JML.
Answers
Answer:
110°
Step-by-step explanation:
Can someone help with this?
Answers
Answer:
I think the answer of X is 2
Step-by-step explanation:
i said think ok
have a nice week
[o]-[o]
\___/
Answer:
x=2
Step-by-step explanation:
Going from 6 to 4 means you have to dilate by 2/3.
(2/3)*6=4
(2/3)*3 is 2
The graph of y = 4x2 - 4x – 1 is shown.
Use the graph to find estimates for
the solutions of
i) 4x2 - 4x – 1 = 0
ii) 4x2 - 4x - 1 = 2
Answers
Answer:
i) The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].
ii) The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].
Step-by-step explanation:
i) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 0[/tex] is graphing the following system of equations:
[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)
[tex]y = 0[/tex] (2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-i'. The approximate solutions are: [tex]x_{1} \approx -0.207[/tex], [tex]x_{2} \approx 1.207[/tex].
ii) The best approach to estimate graphically the solution of [tex]4\cdot x^{2} - 4\cdot x - 1 = 2[/tex] is graphing the following system of equations:
[tex]y = 4\cdot x^{2}-4\cdot x - 1[/tex] (1)
[tex]y = 2[/tex] (2)
And labeling the points in which both intersects each other. We include the result in the image 'solution-ii'. The approximate solutions are: [tex]x_{1}\approx -0.5[/tex], [tex]x_{2} \approx 1.5[/tex].
A principal wants to know if students at a particular high school are in favor of a new dress code at their school. The principal is not able to ask the opinion of every student at the school, so she needs to select an appropriate sample of the students to represent the high school.
Select which sample of students the principal should choose.
A
Students randomly selected from a list of all students at the school.
B
Students sitting at randomly selected tables in the library.
C
Students she selects from the hallway between classes.
D
Students selected by the teachers.
Answers
Answer: i would say D but i have no idea, it makes the most sence to me
It takes 9 hours for 8 men to paint a room,
How many men would be needed to paint the room in 4 hours?
Answers
Answer:
6 people
Step-by-step explanation:
HELPPPPPPPPPPPPPPP
Question 3 (1 point)
What is the domain of the function f(x)=2x+3
?
Question 3 options:
x>0
x>3
x>−3
All real numbers
Question 4 (1 point)
What is the range of the functionf(x)=2x+3
?
Question 4 options:
y>0
y>3
y>−3
All real numbers
Question 5 (1 point)
What is the end behavior of the functionf(x)=2x+3
?
Question 5 options:
As x→−∞, y→∞
and x→∞, y→3
.
As x→−∞, y→−∞
and x→∞, y→−3
Asx→−∞, y→3
and x→∞, y→∞
.
Asx→−∞, y→−3
and x→∞, y→−∞.
Answers
Answer:
3) All real numbers
4) y > 3
5) C) the only choice that ends with a POSITIVE ∞
Answer:
3. All real numbers
4. B. y>3
5. C (the one with the POSITIVE infinity sign.)
I just did the exact same quiz and I got all of the right answers when I did it :)
please help. sad moment.
Answers
Answer:
10
Step-by-step explanation:
The radius is half the diameter
Answer:
d) 10in is the answer
Step-by-step explanation:
step 1 - Radius is half of the diameter.
step 2 - 20 ÷ 2 = 10
step 3 - Hence the answer is 10in.
Hope it helps,
Please mark me as the brainliest
Thank you
what is the volume???
Answers
Answer:
80 cm^3
Step-by-step explanation:
In order to find the volume of an object, you must multiply the length x width x height of the object. In the case of this pyramid, you also must multiply by 1/3 in the end. This looks like 5x6x8x(1/3) = 80 cm^3
Answer:
I got 240 but I'm not sure if that is correct
Step-by-step explanation:
volume is the space inside and you find out with length x width x height and that's what I did. I guess the number just seems high
The height of a football y in feet is given
by the function y=-16x² + 56x+ 2
where x is the time in seconds after the
ball was kicked. This function is
graphed below. How long was the
football in the air?
(Show work please if possible.)
Answers
What is 792 divided by 44
Answers
792/44 = 18
A triangle has angle measures of 95° and 65° What is the measure of the third angle
Answers
Factor 21x^2 - 37x + 12
Answers
determine the missing angle
Answers
Answer:
46°
Step-by-step explanation:
These angles are same-side supplementary, therefore they add up to 180°.
180 - 134 = 46°.
20 POINTS
On the news yesterday, the weather forecaster’s rainfall prediction was 20% off. If 2.5 inches of rain actually fell today, what are the two rainfall predictions that could have been made during the weather forecast?
Giving brainliest to the BEST EXPLAINED answer. All answers that are irrelevant to the question will be reported and removed.
Middle School Math
REPOST AS THE OTHER ONE GOT SNIPED
Answers
Explanations:
The simplest way is to take 20% of the 2.5 inches and go that much above & below 2.5 inches.
2.5 x 20% = 2.5 x 0.20 = 0.5
So 2.5 - 0.5 = 2 inches was predicted
And 2.5 + 0.5 = 3 inches was predicted.
The more complicated way is to see number + 20% of that number = 2.5, and what number - 20% = 2.5.
Which solution sounds more like what you’re doing in class right now?
If it’s the more complicated way:
0.8x = 2.5 (80% of the predicted rain value equals 2.5)
x = 3.125 inches was predicted
1.2x = 2.5 (120% of the predicted rain value equals 2.5)
x = 2.083 inches was predicted
Sorry, this is probably confusing. Let me know what questions you have.
A recipe for cookies requires 1 ⅔ cup of milk. How many cups of milk are needed for 4 batches of the recipe?
Answers
Answer:
6 2/3
Step-by-step explanation:
1 2/3 *4= 4 8/3 ---->6 2/3
HERE IS THE FULL QUESTION LOL GET IT RIGHTT PLZZ
Answers
9514 1404 393
Answer:
14,060 ft
Step-by-step explanation:
On day 2, the group climbed ...
19660 -16860 = 2800 . . . . feet
The problem statement tells us they climbed that same amount on day 1, so they must have started at ...
16860 -2800 = 14,060 . . . . feet
The group began their climb at 14,060 feet.
DUE in a couple of minutes!!help me out with this question (geometry)
Answers
Simplify, Show work
1: 2i^20 + i^42
2: i^101 - i^2
Answers
Answer:
1. i^20 X (2+i^22)
2. i² X (i¹¹-1) X (i²² + i¹¹ + 1) X (i^66 + i³³ + 1)
Step-by-step explanation:
1) 2i^20 + i^42
factor out i^20
i^20 X (2 + i^22)
2) i^101 - i²
i²X(i^99-1)
i²X(i³³-1)X(i^66+i³³+1)
Using a³-b³=(a-b)(a²+ab+b²)
i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)
i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)
I almost gave up typing. Quite stressful, but its fine
pls help need it ASAP
will give brainlist
:)
Answers
Step-by-step explanation:
Given
5x + 2y = 16 .....i)
x + 2y = 4 .....ii)
Subtracting equation I) and ii) we get
5x + 2y = 16
x + 2y = 4
- - -
4x = 12
x = 3
Putting x = 3 in equation ii)
3 + 2y = 4
2y = 4 - 3
y = 1/2
x =3 and y = 1/2
Hope it helps :)
Answer:
1) x=2 y=3 2) x=2 y=1
Step-by-step explanation:
Choose values for horizontal and vertical translation to move triangle ABC. Use the tool to translate the figure in both the x and y directions. y Horizontal Translation 4 C 2 Vertical Translation Which statements are true about the image? The triangle flipped upside down. The sides stayed the same length. The angles stayed the same size. The triangle completed a quarter turn. -2. Reset -2 A B -48.
Answers
Answer:The sides stayed the same length
The angles stayed the same size
Step-by-step explanation:
Identify the translations.
The orange triangle, A, is the pre-image.
The pre-image moved
✔ 5
units horizontally to form the purple triangle, B.
The pre-image moved
✔ 4
units vertically to form the green triangle, C.
Multiple Choice
Look at the graph.
The graph shows a line through the points left parenthesis negative 1 comma negative 2 right parentheses and left parenthesis 2 commas 1 right parenthesis.
The slope of the line is _______.
A. positive
B. negative
C. zero
D. undefined
Answers
Answer:
the slope is POSITIVE (answer A)
Step-by-step explanation:
The line goes through: (-1, -2) and ( 2, 1)
Then the slope can be calculated as:
slope = (y2 - y1) / (x2 - x1)
in our case:
slope = (1 - -2) / (2 - -1) = (1 + 2) / (2 + 1) = 3 / 3 = 1
Therefore, the slope is POSITIVE (answer A)
find the area of the rectangle
14 by 6
Answers
Answer:
84 units
Step-by-step explanation:
14 times 6 equals 84
Graph the equation y = -7/2x+2 on the coordinate plane.
Answers
Answer:
2y ( -5,2)
Step-by-step explanation:
you start at 2y and go down 7 times and move 2 times left
Luke's car depreciates in value by 12% per year.
Luke bought his car for £18000
Work out how much his car will be worth after 4 years.
Answers
Answer:
£9360
Step-by-step explanation:
£18000× 12 ÷100 = £2160
£2160 × 4 = £8640
£18000 - £8640 = £9360
Therefore his car will be worth £9360 after 4 years
Find the missing part.
Answers
Answer:
15
Step-by-step explanation:
9/6=x/10
why? they segments are similar
can somebody verify this for me?
5f + 3n + 2
use f = -4 and n=-7
answer is -43
is this correct? yes or no?
Answers
Answer:
no
Step-by-step explanation:
5(-4)+3(-7)+2= -20-21+2=-39
Need help with ratios quick plss
Answers
Which of the following is equal to 10.6 ÷ 2?
A.
(10 ÷ 2) + (0.6 ÷ 2)
B.
(10 ÷ 2) + (2 ÷ 0.6)
C.
(10 ÷ 2) - (6 ÷ 2)
D.
(10 ÷ 2) - (0.6 ÷ 2)
Answers
Answer:
[tex]\huge\boxed{\sf Option\ A }[/tex]
Step-by-step explanation:
10.6 ÷ 2 = 5.3
Now,
Part A)
(10 ÷ 2) + (0.6 ÷ 2)
= 5 + 0.3
= 5.3
No need to solve other parts. The correct option is A.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807