TTriangle H L I is shown. Line segment J K is drawn near point L to create triangle J L K. If △HLI ~ △JLK by the SSS similarity theorem, then StartFraction H L Over J L EndFraction = StartFraction I L Over K L EndFraction is also equal to which ratio? StartFraction H I Over J K EndFraction StartFraction H J Over J L EndFraction StartFraction I K Over K L EndFraction StartFraction J K Over H I EndFraction
Question:
[tex]\triangle[/tex]HLI is shown. Line segment JK is drawn near point L to create [tex]\triangle[/tex]JLK. If [tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK by the SSS similarity theorem, then [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex] is also equal to which ratio?
[tex]\frac{H I}{J K}[/tex] [tex]\frac{H J}{J L}[/tex] [tex]\frac{I K}{K L}[/tex] [tex]\frac{J K}{H I}[/tex]
Answer:
[tex]\frac{H I}{J K}[/tex]
Step-by-step explanation:
Given
HLI ~ [tex]\triangle[/tex]JLK
[tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Required
Which other ratio equals [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
[tex]\triangle[/tex]HLI ~ [tex]\triangle[/tex]JLK implies that:
HL, IL and HI corresponds to JL, KL and JK respectively.
So, the possible ratios are:
HL : IL : HI = JL : KL : JK
Convert to fractions
[tex]\frac{HL}{JL} = \frac{IL}{KL} = \frac{HI}{JK}[/tex]
So, from the list of options
[tex]\frac{H I}{J K}[/tex] is equivalent to [tex]\frac{HL}{JL} =\frac{IL}{KL}[/tex]
Answer:
its A
Step-by-step explanation:
Pls Help asap thx alot
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Answer:
3.6 hours.
Step-by-step explanation:
Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart
Since they are moving in opposite directions to each other, let us first calculate the relative velocity.
Relative speed = 48 - 35 = 13 mph
Using the formula
Speed = distance/time
Substitute all the parameters into the formula
13 = 48 / time
Make time the subject of the formula
Time = 48 /13
3.69 hours.
Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.
Write an equation for the data in the table. Identify your variables.
First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2
[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]
Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept
Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b
y = 15x - 20
y is the money in the bank account in dollars
x is the day
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
What Is the difference in kilowatt hours of monthly energy production between an average local wind speed of 15 miles
Answer:
The answer is "5"
Step-by-step explanation:
Please find the complete question in the attached file.
Given values:
[tex]15 \ miles /hour\\\\10\ miles /hour[/tex]
When we calculating the difference so, it is "5" because 15 -10=5
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
use the area of the rectangle to find the area of the triangle 2 ft 9 ft
Answer:
[tex]\Huge\boxed{B}[/tex]
Step-by-step explanation:
Hello There!
The area of a rectangle is equal to length times width
2*9=18 so the area of the rectangle is 18 square feet
If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle
18/2=9 so the area of the triangle is 9 square feet
The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
WILL GIVE BRAINLIEST!
Write the expression as a difference of squares.
25x2 − 4
Factor the difference of squares.
25x2 − 4
Answer:
(5x-2)(5x+2)
Step-by-step explanation:
Differences of squares is basically (a2-b2) = (a-b) (a+b)
a = 5x and b = 2 in this case
Brainliest is appreciated :)
heyy!! i need help!!
Answer:
X - 3 = 5
Step-by-step explanation:
X decreased by 3 means X-3.
If X - 3 is 5, then it can be written as X - 3 = 5
Answer: 8
Step-by-step explanation: 8 decreased (subtracted) by 3 is 5.
One plane take of at 8:09P.M. And lands at 10:53PM. Another plane takes off at 9:14P.M. And lands at 12:31P.M. For how long were both planes in the air at the same time.
Answer:
1 hour 39 Minutes
Step-by-step explanation:
At 8:09 P.M
Only the first plane was in the air
At 9:14 P.M
Both Planes were in the air
At 10:53 PM
First plane lands
For how long were both planes in the air at the same time.
Both planes were in the air between the 9:14 P.M and 10:53 PM
Duration = 1 hour 39 Minutes
I need help with only 4,8,10 and 12 I’m marking brainlest!
Answer:
4. [tex]\frac{1}{6}[/tex]
8. [tex]\frac{1}{2}[/tex]
10. [tex]7\frac{3}{4}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]7\frac{1}{4}[/tex]
I've answered 4, 8 and 10 for you as you haven't provided 12, but I hope this helps!! ^-^
ill give brainlist who ever get this right
Answer:
The answer is 1086 in³
Step-by-step explanation:
which should i pick?
Answer:
5 X 4 is the correct answer.
Step-by-step explanation:
I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.
JJ buys a video game for $50.00. If the sales tax is 8.25%
Enter the sum, in dollars, that JJ paid, including tax.
Answer:
$54.26
Step-by-step explanation:
Convert the percentage into a decimal by moving the decimal point 2 places to the left or divide by 100.
This will give you .0825.
Multiply this number by $50 and add it to it
$54.26
Hope this helps! Good luck!! :)
8.96÷26 pls help me
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
Tina had 20 minutes to do a three-problem quiz.She spent 9 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did she have left for question C
Answer:
3636363
Step-by-step explanation:
Find the value of y from the above rhombus
A. 2
B. 3
C. 7
D. None of these
Answer:7
Step-by-step explanation:
The new school copy machine makes 3,480 copies per hour. How many copies does the machine make per minute? How did you get your answer?
Write a linear function f with the values (-5)=6 and (5)=0 .
Answer:
Step-by-step explanation:
Marco located the falllow points on a number line which point is not corrtly placed on the number line
Question:
Marco plotted the following points on the number line.
Point A: 0.3 Point B: 3/4 Point C: 11/4 Point D: 0.7
Which point did he plot incorrectly?
Answer:
Point D
Step-by-step explanation:
Given
[tex]Point\ A= 0.3[/tex]
[tex]Point\ B= \frac{3}{4}[/tex]
[tex]Point\ C= \frac{11}{4}[/tex]
[tex]Point\ D= 0.7[/tex]
Required
The incorrectly plotted point
Number plotted on a number line increases from left to right. This implies that:
[tex]A < B < C < D[/tex]
Substitute the values for the given points
[tex]0.3 < \frac{3}{4} < \frac{11}{4} < 0.7[/tex]
Express as fractions
[tex]0.3 < 0.75 < 2.75 < 0.7[/tex]
Up till 2.75, the order of the numbers is correct.
However, 0.7 is less than 0.75 and 2.75
So, 0.7 is not placed correctly.
This implies that point D is not correctly placed
Exact Value Please.
Answer:
30
Step-by-step explanation:
Scientific calculator will help answering this
You buy a shirt on sale for $20. This
sale price is 20% off the original price.
How much was the original price of
the shirt?
Answer:
$25
Step-by-step explanation:
Let the original cost of the shirt be x, therefore the sale price would be the original minus the 20% of the original price x - 0.20x = $20. Solve for x: 0.8x = 20 --> x=$25
Please help me label the diagram beaded on the word bank given. (Geometry)
What method could be used to prove the triangle congruent?
[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]
B) SAShii please help i’ll give brainliest!!
Answer:
the answer is d :)
Step-by-step explanation:
Answer:
3 one thats the answer its going up and down
Ill give BRAINLIEST I NEED HELP
Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
I need the answer pls
Answer:
B?
Step-by-step explanation:
I feel like the answer would be b but I'm not that good with fractions so don't choose my answer right away...