Answers
This question is a problem under "Enlargement and Similarities"
Triangle ABC is enlarged to form triangle ADE.
This means AB is enlarged to form AD and CB is enlarged to form ED. So I'm order to find x we compare the ratio of AD and AB to CB and ED.
AB/AD =CB/ED
9/(9+6) = 3/x
=9/15 = 3/x
Multiplying through by 15x
= 9x =45
= x= 45/9
=x=5
Related Questions
Marijah wants to start saving money as a
New Year’s resolution. She starts with $125
and decides to save $15 per week from her
part-time job. Write an equation to represent
the total money saved, T after w weeks.
Answers
Expand and combine like terms. (4d^2-2d^7)^2
Answers
The expanded form will be 16d⁴ + 16d¹⁴ - 8d⁹ - 8d⁸.
What is an expression?To show the value of each digit, we divide a number into its place values and then expand it. A 943 expanded form is provided as an example. Blocks of hundreds in nine 3 blocks of ones and 4 blocks of tens. nine hundos 4 tens plus 3 ones expanded Form: 900 + 40 + 3.
An expression is a combination of numbers, variables, and operators that represents a value or a mathematical relationship.
In the given example (4d^2-2d^7)^2 is an algebraic expression which can be simplified by expanding it using the rule of square of binomial. The expanded form will be 16d⁴ + 16d¹⁴ - 8d⁹ - 8d⁸
Hence, the expanded form will be 16d⁴ + 16d¹⁴ - 8d⁹ - 8d⁸.
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amid has gained weight he now weighs 88kg which is 10% higher than his normal weight. what is his normal weight?
Answers
Answer:
88*0.9= 79.2 (since it's 10% higher, multiply by .9 to find out what 90% of 88 is
you also could've done 88*0.1=8.8 and then subtract 8.8 from 88 and get 79.2
either way his normal weight is 79.2kg
Express in the form n : 1
9:3
Answers
Answer:
n =3
hope it helps
Answer:
3:1
Step-by-step explanation:
cut by 3
..............
There are 60 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 1/5 of the remaining houses were sold. How many houses are left to be sold?
Answers
Answer:
4
Step-by-step explanation:
What is the value of p2 + r3 , when p=2 and r=3
Answers
Answer:
13
Step-by-step explanation:
(2)2 + (3)3 = 4 + 9 = 13
Answer: 31
Step-by-step explanation:
(4) 4 + (3) 3
P2 - 2 x 2
= 4
R3 - 3 x 3 x 3
= 27
27 + 4
= 31
Hope it helps!
Use the original price and the markdown to find the retail price.
Original price: $70; Markdown: 34%
Answers
HELPPPPPPPPPPPPPPPPPPPPPPPP
Which of the following expressions is a common factor when the expressions x2 – 9 and x2 – 5x + 6 are factored?
A.
x + 3
B.
x2
C.
x – 3
D.
x – 2
Answers
MATH LOVERS PLS!!!!!!!
Answers
7) C
8) A
9)D
10)B
Simplify (-w^3/6)^-2
Write your answer using only positive exponents. Evaluate any numerical powers
Answers
36/w^6 is the correct answer
The simplified form of the given expression is -1/w¹.
What is a positive exponent?A positive exponent tells us how many times to multiply a base number, and a negate
ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.
The given expression is [tex](-w^{\frac{3}{6} })^{-2}[/tex]
Here, [tex](-w^{\frac{3}{6} })^{-2}[/tex]=[tex]-w^{\frac{-6}{6} }[/tex]
= -w⁻¹
= -1/w¹
Therefore, the simplified form of the given expression is -1/w¹.
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(3) Find the value of x.
Answers
Answer:
x=4
Step-by-step explanation:
since triangles are proportional by 2:1, then:
16/2=3x-4
8=3x-4
3x=12
x=4
What is the value of x in the solution to the system of equations below?
15x - 12y = 13
30x + 9y = 4
Answers
Answer:
1/3
Step-by-step explanation:
Use the elimination method.
15x - 12y = 13
30x + 9y = 4
If you add both equations you will not cancel out any variables, so you need to multiply one of the equations by something. Multiply the first equation by -2 to cancel out the x values.
-2(15x - 12y = 13)
30x + 9y = 4
You should have these two equations now:
-30x + 24y = -26
30x + 9y = 4
Add them together now. You should get this now.
33y = -22
Divide both sides by 33. You should get y = -2/3
Now, substitute the y value into any of the two equations that you started with. Let's substitute the y value for the second equation.
30x + 9 (-2/3) = 4
30x - 6 = 4
30x = 10
30 30 (divide 30 and 10 by 30)
x = 1/3
17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?
Answers
Answer:
0.48$
Step-by-step explanation:
Cost of 1 Apple = A
Cost of 1 Orange = O
Six apples and three oranges cost $3.36 equivalent to:
6A + 3O = 3.36 (1st equation).
Two apples and five oranges cost $3.04 equivalent to:
2A + 5O = 3.04 (2nd equation).
Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).
6A + 3O = 3.36 (Equation 1)
2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:
6A + 3O = 3.36 (Equation 1)
6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:
6A-6A +15O -3O = 9.12-3.36 equivalent to:
12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)
Go back to equation 1 and solve for the cost of 1 apple:
6A + 3x0.48 = 3.36 =>
6A + 1.44 = 3.36 =>
6A = 1.92 =>
A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)
Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.
ago
7
.
15
6
7
10. Which of the following could be the
perimeters of the three squares below?
A. 12 ft, 16 ft and 20 ft
B. 20 ft, 16 ft and 24 ft
C. 40 ft, 80 ft and 120 ft
D. 16 f1, 24 ft and 28 ft
Maneuvering the Middle LLC, 2017
Answers
Answer:
where are the squares?
Step-by-step explanation:
13 POINTS :( PLEASE HELP WILL MARK BRAINLIEST!!! ITS TIMED PLSSSSSSS
Answers
Answer:
4.8 and 0.6
Step-by-step explanation:
Can somebody help me with this thank you.
Answers
What is the value of X?
PLEASE HELP
Answers
Answer:
23
Step-by-step explanation:
19=x-4
x=23
Melissa has $100 in the bank. She plans to deposit $40 per week until she reaches $500. What is the rate of change? Explain what the rate of change means in the context of the problem. *
Answers
Answer:
$40 per week
Step-by-step explanation:
Step one:
Given data
the initial amount is = $100
the total amount= $500
let the number of weeks be x
Step two:
The expression for the scenario is
[tex]500= 100+40x-------1[/tex]
From the expression above, the rate of the change is $40 per week.
this means that in every week the account will be increased by $40
8.(01.02)
Given that f(x) = x2 – 3x + 3 and g(x) =
x-1
4
solve for f(g(x)) when x = 5. (1 point
1
-3
1
9
13
Answers
Answer:
Step-by-step explanation:
so the g(x) = x-1 gets plugged into every x in the f(x) function
=[tex](x-1)^{2}[/tex] - 3(x-1) + 3
=[tex]x^{2}[/tex]-2x+1 -3x +3 + 3
=[tex]x^{2}[/tex] -5x +7
now plug in x = 5
=[tex]5^{2}[/tex] -5(5) +7
= 7
how do I find the slope of a line from a table graph
Answers
Step-by-step explanation:
slope is the rise over run
rise= X
run= Y
X/Y = slope
A. 32
D. 41
C. 25
D. 49
E. 53
Answers
Answer:
I believe the answer is B.
Simplify the expression (x) (6 + x) – 2x. Write products as powers when possible.
Answers
Answer: x^2+4x
Step-by-step explanation:
I think
For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.
Answers
Answer:
25*0.95 = 23.75
Step-by-step explanation:
i multiplied by 0.95 because the card is still worth 95% of it's original worth.
you could've done:
25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.
i hope this helped :)
HELP MEE PLZZZ BRAINLIEST PLZZZ
Choose the inequality that matches the verbal description.
Anna has at least 8 dollars.
A) x ≤ 8
B) x ≥ 8
C) x > 8
D) x < 8
Group of answer choices
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
At least has to be the number or more.
So it could be 8, 9, 10... basically any number that's 8 or more.
Answer:
B) x ≥ 8
Step-by-step explanation:
x represents the number of dollars that Anna has.
If Anna has at least 8 dollars, she could have 8 or any number greater than 8 dollars. Anna could have 8, 9, 10, 11... etc. dollars.
This means that x is equal to or greater than 8.
x ≥ 8
I hope this helps!
Find the area and perimeter of this shape.
PLEASE show step-by-step.
Answers
Answer:
52 ft.
Step-by-step explanation:
there are 8 side that are 3 ft: 3×8=24
there are 4 sides that are 7 ft: 7×4=28
add it and you get: 24+28= 52
The area and perimeter of this shape are 133 ft² and 52 ft respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Given that, a figure we need to find its perimeter and the area,
The figure we will be divided into 4 rectangles with sides 7 ft and 3 ft and a square, with side 7 ft
So, the area of the square = side²
= 7² ft²
= 49 ft²
Now, the area of a rectangle = length x width = 4 x 3 x 7 [since there are 4 rectangles]
= 4 x 3 x 7 = 84 ft²
The whole area = 84 + 49 = 133 ft²
Now, the perimeter = sum of the sides = 7 x 4 + 3 x 8 = 28 + 24 = 52 ft
Hence, the area and perimeter of this shape are 133 ft² and 52 ft respectively.
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Find the solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, –1)
Answers
Answer:
it should be A but im not fully sure
Answer:
B (4,1). ( look at the point of intersection x-axis is at 4 and y is at 1) so it is (4,1)
HURRYY
what are vertical angles
Answers
Answer:
angles on a straight line
Step-by-step explanation:
Answer:
477
Step-by-step explanation:
it would aditionuuiiiiiiiiiiijhjhhjj
Solve each equation for x. Provide the Justifications for each step.
6-2x=10
Answers
write an equation in point slope form of the line that passes through the point (3, -1) and has a slope of -2
Answers
Answer:
m= -2
X1=3 Y1= -1
Y-Y1=m(X-X1)
Y-(-1)= -2(X-3)
Y+1= -2X+6
Y=-2X+6-1
Y=2X=5
Evaluate 9-b9−b9, minus, b when b=8b=8
Answers
Answer:
its 1 like actually its 1
Step-by-step explanation:
