The area of ▱FGHI is 81 ft2. The area of ▱TUVW is 64 ft2. If ▱FGHI ∼ ▱TUVW, find the scale factor form ▱TUVW to ▱FGHI and the value of x.
Answers
Given that ▱FGHI and ▱TUVW are similar figures, the scale factor from ▱TUVW to ▱FGHI is 8/9.
The value of x is 32.
What is the Area of Similar Figures?
- If a and b are corresponding sides of two similar shapes with areas A and B respectively, the ratio of their areas is, a/b = a²/b² = A/B.
- Scale factor = a/b.
Therefore, the scale factor from TUVW to FGHI would be:
√64/√81 = 8/9
Find the value of x:
x/36 = 8/9
x = 32
Thus, given that ▱FGHI and ▱TUVW are similar figures, the scale factor from ▱TUVW to ▱FGHI is 8/9.
The value of x is 32.
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Answer:
MARK ME BRAINLIEST!!
Step-by-step explanation:
To compare the functions f(x) and g(x) based on the given tables, we need to determine whether each function is one-to-one or not.
A function is considered one-to-one if each input (x-value) corresponds to a unique output (y-value), and no two different inputs produce the same output.
Looking at the table for f(x):
x: 0 1 2 3 4 5
f(x): 15 14 X 8 X
In the given table for f(x), the value of f(x) is missing for x = 2 and x = 4. This indicates that multiple inputs (2 and 4) are producing the same output. Therefore, f(x) is not one-to-one.
Now, let's analyze the table for g(x):
x: 0 1 2 3 4 5
g(x): 8 12 9 13 16 18 21 19 8
In the given table for g(x), there are no repeated output values. Each input corresponds to a unique output, indicating that g(x) is one-to-one.
To summarize, f(x) is not one-to-one, while g(x) is one-to-one.
Answers
Using the order of operations ( PEMDAS ), the value of the expression is 29.
What is simplification of an expression?
Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
We need to find the value of the expression below when w = 5w = 5.
Using the order of operations ( PEMDAS ),
Then substitute 5 where the w goes in the expression.
4w+9 = 4 • 5 + 9
4w+9 = 20 + 9 = 29
Using the order of operations ( PEMDAS ), the value of the expression is 29.
Learn more about simplification;
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Answer:
29
Step-by-step explanation:
substitute 5 where the w goes in the expression.
It should look like 4 • 5 + 9
Using the order of operations ( PEMDAS ) multiply 4 • 5 to get 20 and then add 9 to get 29
Answers
Answers
There are (9) - 2/3 in 6
2x = 18
x = 9
Answers
Answer:
-6, 8
Step-by-step explanation:
Let the numbers be represented by y
Square of y = y^2
Double y = 2 × y = 2y
Square of the number is 48 more than double the number is written mathematically as
y^2 = 2y +48
y^2 - 2y - 48 = 0
This is a quadratic equation and can be solved by method of factorisation
y^2 -2y - 48 = 0
y^2 + 6y - 8y - 48 = 0
(y^2 + 6y) - (8y - 48) = 0
y(y + 6) - 8(y + 6) = 0
(y + 6)(y - 8) = 0
y = -6, 8
The numbers are -6, 8
Answer:
8, -6
Step-by-step explanation:
Let the number be $n$, so we have $n^2 =48 + 2n$. Rearranging this equation gives $n^2 -2n-48=0$ and factoring gives $(n-8)(n+6)=0$. So, the numbers that fit the problem are $\boxed{n = -6~\text{and}~n = 8}$.