Right triangles 1, 2, and 3 are given with all their angle measures and approximate side lengths. Use one of the triangles to approximate the ratio (KL)/(JL).
- 0.64
- 0.77
- 0.83
- 1.2
Answers
Answer:
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex] = 0.83
Step-by-step explanation:
The key understanding here is that ΔJKL is similar to triangle 3 based on the AA criterion (they both have a right angle and a 40° angle).
We can find [tex]\frac{KL}{JL}[/tex] by setting up a proportion statement that includes KL, JL, and the lengths of their corresponding sides in triangle 3.
We can use this proportion:
[tex]\frac{KL}{6.4}[/tex] = [tex]\frac{JL}{7.7}[/tex]
[tex]\frac{KL}{6.4}[/tex] ⇒ opposite to 40° angle
KL, JL ⇒ ΔJKL
[tex]\frac{JL}{7.7}[/tex] ⇒ adjacent to 40° angle
6.4, 7.7 ⇒ triangle 3
[Now see the attachment]
Now we can rewrite the equation to show the ratios of the side lengths within each triangle.
[tex]\frac{KL}{JL}[/tex] = [tex]\frac{6.4}{7.7}[/tex]
[tex]\frac{KL}{JL}[/tex] ⇒ ΔJKL
KL, 6.4 ⇒ adjacent to 40° angle
[tex]\frac{6.4}{7.7}[/tex] ⇒ triangle 3
JL, 7.7 ⇒ adjacent to 40° angle
Answer: it’s 0.82
Step-by-step explanation:
Related Questions
Please help me with these proof questions!
Answers
Answer:
The answers can be seen in the photo
A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?
Answers
Answer:
Step-by-step explanation:
65%
Step-by-step explanation:
Given: Full capacity= 200000 litres
Amount of fuel used during flight= 130000 litres
Now, finding percentage of fuel used on the flight.
∴ Percentage of fuel used=
Solving it, we will get
∴ 65% of fuel capacity been used in this flight.
Answer:
65%.
Step-by-step explanation:
(130,000/200.000) * 100
= 0.65 * 100
= 65%.
WILL GIVE BRAINLIEST
Answers
Answer:the slope of the line is 5/3
The y-intercept is 0
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
Please help………………………
Answers
Answer:
= 180
y = 34
is the answer
help me please ill mark as the brainiest if correct.
Answers
Answer:
14 minutes
Step-by-step explanation:
For every two minutes the temperature increases by 15 c. since 8 equals 55, 10 is 70, 12 is 85, and 14 is 100.
Answer:
14
Step-by-step explanation:
SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available
A the wait time will be about 18 minutes
B the wait time will be about 5 minutes
C the wait time will be about - 2 minutes
D the wait time will be about 2 minutes
Answers
Answer:
D. The wait time will be about 2 mins.
Step-by-step explanation:
You have to substitute the x into the equation as we know it is 10.
So, y = (-1.62 × 10) + 18.
Thus, y = -16.2 + 18.
Then, y would equal 1.8.
Therefore you would round to the nearest minute which would be 2.
Hope this helps :)
A statistics teacher has a large container of beads that she says contains 60% blue beads. A student randomly selects
50 beads. Let p = the true proportion of blue beads in the container. If the true proportion of blue beads is 0.60, which
value of ô is least likely to occur?
O 0.50
0.60
O 0.70
0.80
Answers
Answer:
0.80
Step-by-step explanation:
its the farthest away from 0.60
Helppppopleaseee????
Answers
Answer:
LQ = 5
Median = 6
Step-by-step explanation:
[tex]\frac{n+1}{2}[/tex] gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.
Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.
Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.
this drawing shows an isosceles triangle work out the size of angle a plz help as soon as possible thks
Answers
Answer:
70°
Step-by-step explanation:
Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)
= 140° ÷ 2
= 70°
Answer:
a + 40° = 180°
a t40°-40° =180°- 40°
a = 140°
Step-by-step explanation:
isosceles add up to 180°
Choose the symbol that correctly compares these mixed numbers.
Answers
Answer:
It is 7 2/11 is less then 7 4/10
Step-by-step explanation:
You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?
Answer:
[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]
[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]
Answer: B
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers
Answer:
Try this on for size
Step-by-step explanation:
Find the missing number so that the equation has infinitely many solutions.
4(4x - 14) - 14x +
-2(-x + 19)
Answers
Answer:
18
Step-by-step explanation:
Maybe you want to fill in the blank so this is true for all x:
4(4x -14) -14x + ___ = -2(-x +19)
Simplifying, we get ...
16x -14x -56 + ___ = 2x -38
Adding 56-2x to both sides leaves ...
___ = 18
The missing number is 18.
ALOT OF POINTS FOR THIS ONE
Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.
3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets
Answers
Answer:
Step-by-step explanation:
12a + 3.50t x 6rides
E=4i+3j A=5i finfd E.A=EAcos
Answers
Answer:
theta = 36.87
Step-by-step explanation:
E.A= (4i+3j).5i= 20
|E| |A| =
[tex] | e| |a| = \sqrt{4 ^{2} + {3}^{2} } \times 5 = 25[/tex]
[tex] \cos(theta) = \frac{e.a}{ |e ||a | } = \frac{20}{25} = \frac{4}{5} \\ theta = \cos ^{ - 1} ( {.8} ) = 36.87 [/tex]
Please help!
Having lots of trouble with math :)
Answers
And each side should add up to 90º
So x and y should each be 45º if I’m not mistaken, and then z is (I forgot the proper vocab term for this) right flippity across y so it should also be 45º
lim
x→0
5x2 + 2x/sin(x) ?????
Answers
Answer:
114.59155
Step-by-step explanation:
Answer:
Sorry i didn't know that
Katie has $150 in her savings account.
She wants to buy a new iPad that
costs $375. How many weeks will it
take her to have enough to buy the
iPad if she saves $25 each week?
Answers
Answer:
9
Step-by-step explanation:
375 - 150 = 225
225 / 25 = 9
Answer:
I believe the answer would be 9 weeks
The cost of 5 story books is Rs 800. How many books can be bought for Rs 1,440?
Answers
Answer:
cost of 5 story book=800
cost of 1 story book=800/5
=160
how many. book can be bought on rs.1400
=1400/160
=8.75
Step-by-step explanation:
=
I’ll give the crown thing
The band sold 456 pies in 2 weeks. Which proportion could be used to make the best estimate for the number of pies that will be sold in 12 weeks?
Answers
Answer:
i would say A. if its not a its B.
Step-by-step explanation:
3 1/3 of it is 10
I need help!
Answers
Not sure what your asking but i know from 3 1/3 of it is 10 means 3 1/3 equals 1/3rd of 10 but please tell me what your asking in the comment section ty
Which of the following are possible side
lengths for a triangle?
A. 8, 5, 7
B. 10, 3, 7
C. 9,5, 15
Answers
Answer:
A yes B No C Yes
Step-by-step explanation:
The length of the third side is greater than the difference and less than the sum of the two smallest sides.
8, 5, 7 Using the 5 and 7 the third side is > (7 - 5) and < (5 + 7)
the third side is > 2 and < 12 so 8 is OK
10, 3, 7 Use the two smallest number: 3 and 7
the third side is > (7 - 3) and < (3 + 7)
the third side is > 4 and < 10 No it is 10
9, 5, 15 Use the two smallest number 9, 5
the third side is > (9 - 5) and < (9 + 5)
the third side is > 4 and < 14 Yes
Answer:
A. 8, 5 , 7
Step-by-step explanation:
the other guy who answered gave two yes's so I chose one and A. was correct.
Rebecca draws a graph of a real-world relationship that turns out to be a set of unconnected points. Can the relationship be linear? Can it be proportional? Complete the explanation of your reasoning.
Answers
Answer:
Step-by-step explanation:
Which value of x is a solution of the equation 4(x + 3) - 10 =6 (x -2)
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
help plssssssssssssssssssssssssssssssssssssss
Answers
what decimal represents the fraction 1/4
Answers
Answer:
0.25
Step-by-step explanation:
1/4 is equal to 1.00 split into 4 equal parts. 0.25*4 = 1.00 , meaning that each 1/4 is equal to 0.25
Answer:
0.25.
Step-by-step explanation:
We divide 1 by 4:
4) 1. 00
0.25
pls help quick
plssss
plssssss
Answers
The third year would be 20.
Anyone know how to work this problem? I need to find the domain and range
Answers
Answer:
Step-by-step explanation:
Domain : [-9,-3]
Range: [2,6]
Answer:
um I think it's the range is 30
Please answer
2x^2+7x+3=0
Answers
Answer:
x+-(1)/(2),-3
Step-by-step explanation:
Thank you:)
Help help math math
Answers
Answer:
There are 24 different combinations.
Step-by-step explanation:
2x4x3= 24
Thomas finished the 200-meter race in 25.7 seconds while Mikah finished in 28.1 seconds. How much faster did Thomas run the race than Mikah?
Answers
Answer:
2.4 seconds
Step-by-step explanation:
We can use subtraction to solve this problem.
28.1 - 25.7 = 2.4 seconds
[] Fun Fact: For men, the world record in the 200-meter dash is by Usain Bolt with a time of 19.30 seconds
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather