Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L
Answers
Answer:
128.2
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:
[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]
Related Questions
9. Spanky is four inches less than of Lanky's height. Write an expression for
Spanky's height.
Algebraic Expression:
Spanky
Lanky is 72 inches tall. How tall is Spanky?
Algebraic Expression
Numerical Expression
Answer
You pick the variable for
Lanky's height! Lanky
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68 inches tall is Sparky
Step-by-step explanation:
just take of 4 tall of lanky then you will get the tall
PLSPSPSLS HELP MATHHH GRADE 5-6
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lower quartile: 65
upper quartile: 95
— 3x = у
— 9x — 5y = — 48
Answers
Step-by-step explanation:
plug in -3x for y
-9x-5(-3x)= -48
-9x+15x= -48. its +15 because negative times negative is.
positive
6x= -48 (-9 +15=6) now divide both sides by 6
x= -8
now you can solve for y by plugging in -8 for x
-3(-8) =y
24= y
Explanation:
-3x = y ............................... (1)
-9x - 5y = -48 ................... (2)
From (1):
-3x = y
y = -3x
Sub (1) into (2):
-9x - 5(-3x) = -48
-9x + 15x = -48
6x = -48
x = -48/6
x = -8
Sub x = -8 into (1):
y = -3(-8)
y = + 24
slope is 2/3 y- intercept is -2
Answers
Answer:
y = (2/3)x - 2
Step-by-step explanation:
The equation of this line is y = (2/3)x - 2, where m is the given slope and -2 is the given y-intercept. We need only plug in the given values for m and b.
Answer:
[tex]y = \frac{2}{3} x -2[/tex]
Step-by-step explanation:
This is the slope-intercept form. The slope-intercept form is written as y = mx + b where m is the slope and b is the y-intercept. The y and x stay as they are.
I hope this was what you were looking for.
i don’t understand my homework?
Answers
Answer:
x = 140
Step-by-step explanation:
40 * 2 + 2x = 360
80 + 2x = 360
2x = 280
x = 140
The ratio of the perimeter of a square A and square B is 4:3. The side of square B is 3 m less than the side
of square A. What is the length of the side of square A?
please answer
Answers
Answer:
x = 12
Step-by-step explanation:
x = length of side of square A
'x-3' represents length of side of square B
Perimeter of square A = 4x
Perimeter of square A = 4x - 12
we can set up the following proportion based on ratio of 4:3
4x / 4 = 4x - 12 / 3
cross-multiply:
4(3x) = 4(4x-12)
12x = 16x - 48
-4x = -48
x = 12
9x^3- 18x^2 - 4x + 8 : x- 2
Answers
Answer:
Step-by-step explanation:
[tex]9x^3-4x-18x^2+8\\ \\ x(9x^2-4)-2(9x^2-4)\\ \\ (x-2)(9x^2-4)\\ \\ (x-2)(3x+2)(3x-2)\\ \\ \text{If you divide by x-2 you have}\\ \\ (3x+2)(3x-2)[/tex]
Can someone please help me with my math corrections?
Answers
Answer:
Step-by-step explanation:
y = 2x + 3 {y = mx + b}
In Function A, rate of change is 2
Function B:
Rate of change = Change in y÷ change in x
[tex]= \frac{11-7}{0-[-1]}\\\\=\frac{11-7}{0+1}\\\\=\frac{4}{1}\\\\= 4[/tex]
In function B, rate of change is 4
Least: Function A
Greatest: Function B
The point (2, 18) is an ordered pair in a proportional relationship. What equations represents this relationship?
y = 1/9x
y = 18x
y = 9x
y = 2x
Answers
Answer:
y = 9x
Step-by-step explanation:
If you plug in the point into each equation, you get:
y = 1/9x
18 = 1/9 * 2
18 = 2/9
not true
y = 18x
18 = 18 * 2
18 = 36
not true
y = 9x
18 = 9 * 2
18 = 18
true, so this is the answer
y = 2x
18 = 2 * 2
18 = 4
not true
Select all the ways you can tell that there is no solution to a system of equations.
A. The equations have different slopes and have the same y-intercepts.
B. The equations have the same slope and have different y-intercepts.
C. The graph of the system shows the same line.
D. The graph of the system shows parallel lines.
E. The graph of the system shows perpendicular lines.
THERE CAN BE MORE THAN ONE ETC ANSWERS
Answers
Answer:
b and d
Step-by-step explanation:
The ways you can tell that there is no solution to a system of equations are:
B. The equations have the same slope and have different y-intercepts.D. The graph of the system shows parallel lines.A linear equation is represented as:
[tex]y = mx+c[/tex]
Where:
m represents the slopec represents the y-interceptWhen the equations in a system of linear equation has the same slope, then the equations are parallel, and they have no solution.
Hence, the true statements are (b) and (d)
Read more about systems of linear equations at:
https://brainly.com/question/14323743
A book store sells used
books.
Paperback books cost $1.00.
Hardback books sell for $5.00.
The store sold 100 books and made $260 from the sale.
How many paperback books did the store sell?
Α. 20
В. 40
C. 60
D. 80
Answers
Answer:
The correct answer is C
Positive
PLZ HELP DUE AT 12
Answers
Answer:
The first one would be m^30n^20p^30
And the second one would be a^2 / d^4
Step-by-step explanation:
For 1, you have to multiply the inner exponents by the outer one so you get (m^12n^8) times (m^18n^12p^30). Then you mutiply the two together, so you add the exponents, where you get m^30n^20p^30.
For 2, since you're dividing, you have to subtract the exponents so you get a^2d^-4, but since you shouldn't have the negative you turn it into a^2 / d^4
Hope this helps :)
A man invests 10000 for 3 years at a certain rate of interest, compounded annually. At the
end of one year, it amounts to 11200. Calculate :
(i) the rate of interest per annum;
(ii) the interest accrued in the second year;
(ii) the amount at the end of the third year.
Answers
Step-by-step explanation:
10000, After 1 year amount = 11200 so interest after 1 year = 1200
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%
Interest for the second year = 11200(1+12/100)1 - 11200 = 1344
after 3 years = 10000(1+12/100)3 = 14049.28
Step-by-step explanation:
(I) Principle = Rs 10000, After 1 year amount
= Rs 11200 so interest after 1 year
= Rs 1200
R = 12%
Amount = P(1+R/100)T
11200 = 10000(1+R/100)1
R = 12%——————————————————————————————————————
(Ii)Interest for second year = 11200(1+12/100)1 - 11200 = Rs 1344
(iii)Amount after 3 year = 10000(1+12/100)3 = Rs 14049.28
help me with maths :)
Answers
cos J: 12/13, 0.92
tan J: 5/12, 0.42
sin K: 12/13, 0.92
cos K: 5/13, 0.38
tan K: 12/5, 2.40
Where will Jack and Nolan meet
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Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
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Answer:
A
Step-by-step explanation:
2.2*4 = 8.8
8.8+1.7= 10.5
Answer:
The answer is A 2.2
Step-by-step explanation:
2.2×4=8.8
8.8+1.7=10.5
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the answer can be found using math-way
Lee performed the best on stage because the other contestant were not as confident as (him, he)
Answers
Answer:
him or he was
Step-by-step explanation:
Malala is following this recipe for bread rolls.
She uses 500 mL of water.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
480 g flour
12 g salt
6 g yeast
30 mL oil
600 mL water
Answers
Answer:
500ml water
400 g flour
2 g salt
5 g yeast
25ml oil
Step-by-step explanation:
Can someone please help me out with this
Answers
Answer:
hope it helps
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Answers
Answer:
x=18
Step-by-step explanation:
Halp aspp
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Answer:
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Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78% of the album is empty, how many pages are filled with ?
Answers
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22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.
y = 7x + 10y = -4x - 23
Answers
Answer:
11x+23
y= - --------------
10
Step-by-step explanation:
what is the first step to solving 9z-21=60
Answers
Answer:
add 21 to both sides
Step-by-step explanation:
9z-21=60
9z-21+21 =60+21
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The number y of calories burned after x minutes of kayaking is represented by the linear function y=4.5x . The graph shows the number of calories burned by hiking.
a. Which activity burns more calories per minute?
A) kayaking
B) hiking
Question 2
b. You perform each activity for 45 minutes. How many total calories do you burn?
You burn 472.5 calories.
Question 3
Justify your answer.
Answers
Step-by-step explanation:
Aswer:
22.5 more calories are burned
Hiking:
y=255
Kayak:
y=202.5
7=100z what does z equal?
Answers
Answer:
z = 7/100
Step-by-step explanation:
Answer:
Step-by-step explanation:
7/100z
What is the distance between the points (2, 3) and (5, -4)?
7.6 units
3.7 units
6.3 units
10 units
Answers
Answer:
Step-by-step explanation:
[tex]d^2=(x_2-x_1)^2+(y_2-y_1)^2\\ \\ d^2=(5-2)^2+(-4-3)^2\\ \\ d^2=3^2+(-7)^2\\ \\ d^2=9+49\\ \\ d^2=58\\ \\ d=\sqrt{58}\\ \\ d\ approx 7.6\ units[/tex]
There are 2 cats to 5 dogs. Which of the following is an equivalent ratio of cats to dogs?
Answers
Answer:
See below.
Step-by-step explanation:
The ratio of cats to dogs would be 2/5. This is the simplest ratio, but I assume you are looking for other ratios that are equal to 2/5
Since you did not provide choices to pick from, I can't really answer your question. But, some ratios that are equal to 2/5 are 4/10, 6/15, 8/20, and 10/25.