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:
Solve these simultaneous equations:
2x + 4y = 38
7x - 4y =7
Answer:
Step-by-step explanation:
Answer:
x=5, y=7
Step-by-step explanation:
2x+4y= 38
+7x-4y= 7
9x= 45
9x/9= 45/9
x=5
2x+4y=38
2(5)+4y= 38
10+4y= 38
-10 -10
4y= 28
4y/4= 28/4
y=7
A circle with radius of \greenD{1\,\text{cm}}1cmstart color #1fab54, 1, start text, c, m, end text, end color #1fab54 sits inside a \blueD{3\,\text{cm} \times 3\,\text{cm}}3cm×3cmstart color #11accd, 3, start text, c, m, end text, times, 3, start text, c, m, end text, end color #11accd rectangle. What is the area of the shaded region?
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
Answer:
5.86cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the circle
Area of rectangle = Length * Width
Area of rectangle = 3cm * 3cm
Area of rectangle = 9cm²
Area of the circle = πr²
Given radius r = 1cm
Area of the circle = 3.14(1)²
Area of the circle = 3.14cm²
Area of the shaded region = 9 - 3.14
Area of the shaded region = 5.86cm²
Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...
Answer:
See this attachment...
Step-by-step explanation:
Your answer dear
hope it's helpful to you
13.8ft
15.6ft
23.4ft
46.8ft
Answer:
it is 15.6ft because you need to add 7.8+7.8= 15.6ft
The inequality -2(x + 10) > 75 says the same thing
as - 2x - 20 > 75. I can multiply by -2 on the left
side without reversing the inequality symbol
True
False
Answer: False. When multiplying or dividing by an negative inequality you flip the sign.
Step-by-step explanation:
PLZ HELP IF ITS CORRECT I WILL MARK U BRAINLIEST
Answer:
The answer is 45
Step-by-step explanation:
First, you find what is half of 30 by dividing 30 by 2
30/2 = 15
Then you add 15 to 30 since you have to increase it by 1/2
30 + 15 = 45
I hope this helped and have a great day!
The circumference of a circle is 9 cm. What is the diameter?
Answer: [tex]\frac{9}{\pi } \\or\\2.86[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]9=\pi d\\\frac{9}{\pi } =d\\[/tex]
Which of the following is used to inscribe a square in a circle?
A. Copy the chord that runs through the center of the circle.
B. Construct a perpendicular bisector of the diameter of the circle.
C. Use the radius length to find four vertices inscribed on the circle.
D. Construct a right angle using the radius of the circle and a tangent line.
Answer:
The option which is used to inscribe a square in a circle is option B
B. Construct a perpendicular bisector of the diameter of the circle
Step-by-step explanation:
The steps required to inscribe a square in a circle are;
1) Draw the circle using a compass
2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y
3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B
The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle
Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.
Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. When the slopes of lines a and b are multiplied, the product is −1. Line a and line b intersect to form four right angles. The slopes of lines a and b are equal. The slopes of lines a and b are opposites
Answer:
When the slopes of lines a and b are multiplied, the product is −1.
Line a and line b intersect to form four right angles.
Step-by-step explanation:
Given
Perpendicular lines a and b
Required
Select the true statements
Represent the slope of line a with [tex]m_1[/tex] and the slope of b with [tex]m_2[/tex].
The condition for perpendicularity is:
[tex]m_1 * m_2 = -1[/tex]
Solving further:
[tex]m_1 = -\frac{1}{m_2}[/tex]
To solve further, we need to analyze each of the given options
(a) This is not true because the slope of perpendicular lines are not reciprocal
(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints
(c) This is true because of the condition stated above: [tex]m_1 * m_2 = -1[/tex]
(d) This is also true because perpendicular lines form right angles when they intersect
(e) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
(f) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
The product of the slope of the perpendicular lines is negative of one. Then the correct options are B and C.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Lines a and b are perpendicular.
Then the product of the slope of the perpendicular lines is negative of one. That is given as
[tex]\rm m_1*m_2 = -1[/tex]
a. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. This is false.
b. When the slopes of lines a and b are multiplied, the product is −1. This is true.
c. Line a and line b intersect to form four right angles. This is true.
d. The slopes of lines a and b are equal. This is false.
e. The slopes of lines a and b are opposites. This is false.
More about the linear system link is given below.
https://brainly.com/question/20379472
I need help please, I will give brainliest to the first person that answers
Answer:
it is C
Step-by-step explanation:
What is the principal square root of /25?
5
25
50
125
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Brand XYZ dog food costs $36 for 15 pounds of dog food . What is the cost per pound?
Answer:
$2.40
Step-by-step explanation:
36÷15=2.4
since we are talking about money you add a zero.
Hope this helps
Cost of the dog food per pound is $2.4
What is cost?Cost is the value of money that has been used up to produce something or deliver a service
Cost of 15 pound of dog food = $36
Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4
Hence, the cost of 1 pound of dog food is $2.4
Learn more about cost here
https://brainly.com/question/13910351
#SPJ2
In a random sample, 3 of 400 computer chips are defective. Based on
the sample, how many chips out of 100,000 would you expect to be
defective?
Answer:
750 of 100,000 chips would be expected to be defective.
Step-by-step explanation:
(3/400) and (?/100,000)
100,000 ÷ 400 = 250.
Multiply 250 by 3 to find the number of defective chips.
250 x 3 = 750.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
250 represent the amount of money that they started off with
1.05 represent how much the money in the account is increasing by
and x represent the amount of months that have passed
write the equation (3,5) in standard form
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
Greg sells cars. He makes a base salary of
$350, plus $734 per car he sells. Write a
function that models this situation. (y = mx +
b)
Answer: y = 734x + 350
Step-by-step explanation:
y = mx + b
let x be the number of cars he sells, then:
y = 734x + 350
I need this the answer to 2/7 × 5/6
Answer:
5/21
Step-by-step explanation:
i mutiplyed
Please please please help *URGENT*
Answer:
1 = Communative property of addition
2 = distribution property
3 = Associative property of multiplacation
4 = Communative property of multiplacation
5 = Associative property of addition
Hope this helps! :) Please Ignore my bad spelling
Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!
Square root of -24 to the nearest integer
this quiz is due in a hour I'll up the points to 25
Answer:
The sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]
Step-by-step explanation:
From the given right angled triangle diagram, sin A is calculated as follows;
[tex]sin \ A = \frac{Opp}{hypo} \\\\sin \ A = \frac{2\sqrt{6} }{8} \\\\sin \ A = \frac{\sqrt{6} }{4}[/tex]
Therefore, the sin A expressed in ratio form is [tex]\frac{\sqrt{6} }{4}[/tex]
ESCRIBE LA EXPRESION ALGEBRAICA : Paul tenía S/ e. Compró un libro y recibió S/ 3 de vuelto. ¿Cuánto costó el libro en términos de e? *
Answer:
p(e)=e-3
Step-by-step explanation:
De acuerdo a la información proporcionada, sabes que Paul tenía una determinada cantidad e y al comprar el libro recibió 3 de vuelto, lo que significa que el precio del libro sería igual a restar 3 de la cantidad que tenía al inicio, lo cual se puede expresar de la siguiente forma:
p(e)=e-3, donde
p es el precio del libro
e es la cantidad que Paul tenía al inicio
Draw the polygon with the given in a coordinate plane (0,4) ( 10,8) ( 7,4) ( 10,2 ) ( 5,0)
Answer:
Step-by-step explanation:
Answ
Naäamlaa. in faDlik. shukran. äafwan. aläafw. arjuu almaädhirasabaaH alkhayr.
A rectangular prism has a length of 12 centimeters, a width of 6 centimeters, and a height of 9 centimeters. A cross section is formed by the prism and a plane that intersects the prism as shown. Find the area of the cross section.
HELPPPPPPP ASAP BRAINLIEST FOR CORRECT ANSWER
Answer:
12
Step-by-step explanation:
12*6.5=78
44-12=32
32*4=128
128+78=206
You randomly chose a marble from a har. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Which is the probability of choosing a blue marble?
A. 10/27
B. 2/5
C. 1/5
D.8/25
Tina is making a frame for a picture she drew. The length of the picture is 11 1/9 inches, and the width of the picture is 7 1/4 inches. How much longer is the picture than it is wide? (Need ASAP please!)
Answer:
3 31/36 inches
Step-by-step explanation:
11 1/9 = 100/9
7 1/4 = 29/4
100/9 = 400/36
29/4 = 261/36
400/36 - 261/36 = 139/36
139/36 = 3 31/36
Carlos has read 45% of his book. If his book has 480 pages, how many pages has he read?
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
please help me i need it
Answer:
n umber 3 is b and 4 is d
Step-by-step explanation:
I seem to be getting my questions wrong or be going on the wrong trail. Can someone help me decode this?
Answer:
A=4
B=3
C=2
D=1
Step-by-step explanation: