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:
What is 5/8-1/8 in the simplest form
Answer:
1/2
Step-by-step explanation:
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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WILL MARK BRAINLIEST IF GOTTEN RIGHT!!!!
Answer:
C both line and point symmetry
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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Work out the reciprocal of 0.125
Answer:
The right answer is 8 hope I helped
Of the males surveyed, what proportion selected small T-Shirt size
Answer:
this question doesn't make sense
You 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.
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!
~AH1807what 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
Find the value of x. Write your answer in simplest form.
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]
For each ordered pair determine whether it’s a solution to 5x plus 2y = -1
Answer:
1,-3
Step-by-step explanation:
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 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
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
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.
which answer is correct
Answer:
The answer is b
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
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!
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:
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.
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:
?
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
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:
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)
If y varies directly as x, if y = 8 when x = 4, find y when x = 48
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
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
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.