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:
The probability distribution for a random variable x is given in the table Find the probability that X<=20
probability for X<=20 is 1
what is probability?
the probability is the department of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The chance of an event is a number between 0 and 1, in which, roughly speaking, zero indicates the impossibility of the event and 1 shows certainty.
probability = the number of ways of attaining success. the total number of possible results. For instance, the chance of flipping a coin and its being heads is ½, due to the fact there may be 1 way of getting a head and the total number of possible outcomes is two (a head or tail).
Learn more about probability here
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For each ordered pair determine whether it’s a solution to 5x plus 2y = -1
Answer:
1,-3
Step-by-step explanation:
A cylinder has a radius of 5 inches and height of 20 inches.which is the surface area of the cylinder?
1. 1187 square inches
2. 517 square inches
3. 3077 square inches
4. 785 square inches
Answer:
4
Step-by-step explanation:
use the formula to get the answer but i got 785.71.
Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
Michael's lawn mower had 3/8 of a gallon of gasoline in the tank. He started mowing and used all of the gasoline. He put 4/10 of a gallon of gasoline in the tank. After he mowed, 2/4 of a gallon was left in the tank. What was the total amount of gasoline Michael used?
Answer:
11/40 of a gallon
Step-by-step explanation:
The amount of gasoline in the tank of lawn mower = 3/8 of a gallon
Then he put the amount of gasoline in the tank = 4/10 of a gallon
The total amount of gasoline filled in the tank = 3/8 + 4/10
= 3/8 + 2/5
= 15+16/40
= 31/40
The total amount of gasoline filled in the tank = 31/40
The amount of gasoline left in the tank after mowing = 2/4
Total amount of gasoline Michael used = 31/40 - 2/4
= 31-20/40
= 11/40 of a gallon
Alternatively, you can follow this method:
Total amount of gasoline Michael used = 3/8 + (4/10 - 2/4)
= 3/8 + (2/5 - 2/4)
= 3/8 + ( 8-10/20)
= 3/8 + (-2/20)
= 3/8 + (-1/10)
= 3/8 - 1/10
= 30-8/80
= 22/80
= 11/40 of a gallon
Total amount of gasoline Michael used = 11/40 of a gallon
The graph shows a line and two similar triangles.
What is the equation of the line?
A. Y=3/2x
B. Y=2/3x
C. Y=3x
D. Y=2x
Answer:
a y=3/2× Pls help me do me one
a
Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.
Answer:
Percent sales tax = 9%
Step-by-step explanation:
Listed price = $29
Price with tax = $31.61
Amount of tax = Price with tax - Listed price
= $31.61 - $29
= $2.61
Find the percent sales tax.
Percent sales tax = $2.61/$29 × 100
= 0.09 × 100
= 9%
Percent sales tax = 9%
consider the system of equations
y = 2/3 x + 1
y = x
what is the solution to the system?
A. (0,0)
B. (0,1)
C. (1,1)
D (3,3)
Answer:
Use your resources wisely
Step-by-step explanation:
Answer:
[tex] \frac{2}{3} x + 1 = x \\ \frac{1}{3} x = 1 \\ x = 3 \\ y = 3[/tex]
X=3,y=3
WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C both line and point symmetry
Step-by-step explanation:
a.Write a polynomial to find the volume of the
rectangular prism.
b.Find the volume if x =12 feet.
Answer:
hmmm 38
Step-by-step explanation:
?
The equation of a circle is x^2 + y^2 = 56.25
Answer:
Step-by-step explanation:
General equation of circle with center at (0, 0) : x² + y² = r²
x² + y² = 56.25
x² + y² = 7.5²
Radius = 7.5 units
Center (0 , 0)
which answer is correct
Answer:
The answer is b
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
Help I only have about 25 minutes left to finish this. I risk failing if I don't get this answered. I have 4 more questions after this. HELP PLZ. This is Slope Intercept form still. I will award 100 pts again
Answer:
y = 6x - 20
Step-by-step explanation:
Perpendicular slope = 6
(3, -2)
y - y1 = m(x - x1)
y + 2 = 6(x - 3)
y + 2 = 6x - 18
y = 6x - 20
Answer:
Solution given:
equation of a line is:
y=-⅛x+4.......[1]
Comparing above equation with y=mx+c
we get
slope [m]=-⅛
let slope of another line is M
since the Lines are perpendicular
so m ×M=-1
we get
M=8
again
the another line passes through(x1,y1) (3,-2)
Equation of another line becomes:
(y-y1)=m2(x-x1)
(y+2)=8(x-3)
y+2=8x-24
8x-y=24+2
8x-y=26
[tex] \frac{8x}{26} - \frac{y}{26} = 1[/tex]
[tex] \frac{4x}{13} - \frac{y}{26} = 1[/tex]
is a required equation of a line in slope intercept form.
If y varies directly as x, if y = 8 when x = 4, find y when x = 48
A grocery store offers a service where customers can place an order and have their groceries delivered to their home for a additional fee. The equation y=1.5x can be used to find y, the total cost in dollars for x, the grocery cost In dollars. Ian has groceries delivered for a total cost of &125.90. He says his grocery cost must be $118.90. Is Ian correct? Explain your reasoning
Answer:
The answer is below
Step-by-step explanation:
A linear function graph can be represented by:
y = mx + b; where m is the slope and b is the y intercept, x is the independent variable and y is the dependent variable.
Given that y represents the total cost, x represent the grocery cost and the equation is given as:
y = 1.5x
The groceries where delivered for a total cost of $125.90, The grocery cot can be gotten by substituting y = 125.9 and calculating x. Hence:
125.9 = 1.5x
x = 125.9/1,5
x = $83.93
Therefore saying that the grocery cost must be $118.90 is incorrect.
Which of the following expresses 2.444 as a fraction in simplest form?
A. 2 1/4
B. 2 2/5
C. 2 11/25
D. 2 4/9
Answer: C. 2 11/25
Step-by-step explanation:
What is the slope of the line that contains the points (-2, 7) and (2, 3)?
A. 4
O
B. 1
o
C. -1
D. -4
SUBMIT
Answer:
-1
Step-by-step explanation:
We can use the slope formula when given two points
m= ( y2-y1)/(x2-x1)
= ( 3-7)/(2 - -2)
= (3-7)/( 2+2)
= -4/4
= -1
This is the full question if you can please solve this it’s really important.
A machine cuts three circles of the same size from a rectangular sheet of
metal as shown.
Answer:
[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]
Step-by-step explanation:
Area of Rectangle:
Length = 11.8 in.
Width = 3.6 in.
Area = Length * Width
Area = 11.8 * 3.6
Area = 42.48 in.²
Area of 3 circles:
Diameter = 3.6 in.
Radius = D/2 = 3.6/2 = 1.8 in.
[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]
Area of 3 circles = 3(10.18) = 30.5 in.²
Area of the figure when the 3 circles are cut:
= Area of the rectangle - Area of 3 circles
= 42.28 - 30.5
= 11.74 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807You make $52,000 a year. Your state income tax rate is 2.5%. The state income tax allowance is $1500 per person and you have three allowances. They are yourself, your spouse and one child. How much income tax do you owe?
Answer:
1,187.50
Step-by-step explanation:
Answer:
Step-by-step expiation
we know that their is an income tax rate of 2.5%, Since their is more than one person within the household, we will multiple the tax rate by 3
2.5% = 0.025
0.025 x 3 = 0.075
Then we will multiple the tax rate by our principal,
52,000 x 0.075 = 3,900
52,000 - 3,900 = 48,100
This will then give us our answer of $3,900 for the income tax rate that is owed, and as well as their new total income.
What is the equation for nth term of the geometric sequence-2,8,-32,...?
Answer:
The last one
Step-by-step explanation:
each following number in the sequence is multiplied by -4, and the first number is -2!
Find the value of x. Write your answer in simplest form.
What is 5/8-1/8 in the simplest form
Answer:
1/2
Step-by-step explanation:
You want to buy a new phone that costs $1250. Your cell phone plan allows for 15% off the price of any new phone. How much will you pay?
Answer:
$1187.5
Step-by-step explanation:
Cost of cellphone =$1250
15 percent of 1250 is =62.5
so,
1250-62.5=1187.5
Hair is a trapezium drawn on a centimetre grid not trying to scale work out the area of the trapezium state in the units of your answer. 2 marks
Answer:
[tex]Area = 18[/tex]
Step-by-step explanation:
Given;
[tex]a = 2\\ h = 4\\ b=7[/tex]
See attachment for trapezium
Required
The area
From the attachment, the formula is:
[tex]Area = \frac{1}{2} * (a + b) * h[/tex]
[tex]Area = \frac{1}{2} * (2 + 7) * 4[/tex]
[tex]Area = \frac{1}{2} * 9 * 4[/tex]
[tex]Area = 18[/tex]
4/7 is multiplied by a fraction less than one. Complete the explanation to show how the product compares to the factors.
Answer:
That is true!
Step-by-step explanation:
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
whats 2 other ways to write this equation:
40 = 19+7x
Answer:
1: 7x+19=40
2: 19+7x=40
Step-by-step explanation:
what is the degree of angle YQR
Answer: Angle is 3
Step-by-step explanation:
16x - 27 = 5x + 6
-5x -5x
______________
11x - 27 = 6
+ 27 +27
___________
11x = 33
__ __
11 11
x = 3
Can someone plzzzz help meeee!!!!!
Answer:
1. Interpret (L): To explain or to give meaning to.
2. Variable: (F) Something that can change or influence the results of an experiment.
3. Observe (I): To notice what occurs during an experiment.
4. Questions (B): The inquiry or problem relating to a topic that can be answered by conducting an experiment.
5. Scientific Method (A): A method of doing research that includes the steps of identifying a problem, gathering data, forming a hypothesis, testing a hypothesis, and drawing a conclusion.
6. Ethical (E): Following the rules of being being fair and honest.
7. Hypothesis (G): An educated guess or reasonable assumption.
8. Research (D): To conduct an investigation into current information about something.
9. Experiment (C): A test or trial performed in order to discover something.
10. Conclusion (K): The result or outcome of something.
11. Procedure (H): A sequence of steps involved in performing an experiment.
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