8(x-3)=8x-24
8x-24=8x-24
8x=8x
x=x
Since x just has to equal itself and not a specific number, there are C, infinitely many solutions to this equation.
The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:
AB = 4
LM = 20
∠B = 98.87°
∠N = 141.87°
<h3>What is Dilation?</h3>
Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.
Find AB:
AB/KL = DC/NM
Plug in the values
AB/10 = 4/10
AB(10) = 4(10)
AB = 40/10
AB = 4
Find LM:
BC/LM = DC/NM
Plug in the values
8/LM = 4/10
8(10) = 4(LM)
LM = 80/4
LM = 20
∠B = ∠L = 98.87°
∠N = ∠D = 141.87°
Learn more about dilation on:
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Answer:
Probability is 1
Step-by-step explanation:
We are given;
mean;μ = $2,075
Standard deviation;σ = $300
n = 55
x' = $1,985
Now, we want to find x' to be at least $1,985 which is P(x' > $1,985).
The z-value is calculated from;
z = (x' - μ)/(√σ/n)
Plugging in the relevant values;
z = (1985 - 2075)/(√300/55)
z = -38.536
So, P(x' > $1,985) = P(z > -38.536)
This transforms to;
P(z < 38.536)
Probability from z distribution table is 1
The total cost of the stools is $540.
<h3>The system of equations that can be used to represent the question</h3>
a + b = 32 equation 1
3a + 4a = 108 equation 2
Where:
a = three legged stools
b = four legged stools
<h3>What is the number of three legged stools bought? </h3>
In order to determine the required value, take the following steps:
Multiply equation 1 by 3
3a + 3b = 96 equation 3
Subtract equation 3 from equation 2
b = 12
<h3>What is the number of three legged stools bought? </h3>
Substitute for b in equation 1
a + 12 = 32
a = 32 - 12
a = 20
<h3>What is the total cost of the stools?</h3>
20(15) + 20(12) =
240 + 300 = $540
To learn more about simultaneous equations, please check: brainly.com/question/25875552
Answer: SECOND OPTION.
Step-by-step explanation:
You have the following formula for calculate the Simple Interest:
Where "p"is the principal amount, "r" is the rate of interest per year (it must be in decimal) and "t" is the time periods.
From the table given in the exercise, you can identify that:
Then, you must substitute these values into the formula:
Finally, evaluating in order to find the value of "I", you get the following result: