Set up a proportion to solve for x in the following similar triangles.
Answers
Final answer:
The correct option is d.
To solve for x in similar triangles ABC and PQR, set up the proportion AB/PQ = DC/QR and solve for x.
Explanation:
To set up the proportion to solve for x in similar triangles ABC and PQR, we need to compare the corresponding sides. AB corresponds to PQ, so we can set up the proportion as follows:
AB/PQ = DC/QR
Substituting the given values, the proportion becomes:
18/12 = 24/(x-2)
Simplifying further, we can solve for x by cross multiplying and solving the resulting equation.
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The complete question is given below:
It is given that two triangles are similar, ABC and PQR. AB= 18 units and DC= 24 units. PQ= 12 units and QR= x-2 units. Set up a proportion to solve for x in the following similar triangles.
a. 18/24 = (x-2)/12
b. 18/12 = (x-2)/24
c. 18/12 = 24/(x-2)
d. 18/12 = 24/x - 2
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
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What is 42:63 in the simplest ratio
Answers
Therefore:
{x | x R, x ≤ -3}
{x | x R, x ≤ -1}
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}
Answers
The solution set is Option D.
{x | x R, x ≤ 3}
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality relation be A
And the equation is 3x - 2 ≤ 2x + 1.
So , on simplifying the equation , we get
3x - 2 ≤ 2x + 1.
Subtracting 2x on both sides of the inequality equation , we get
x - 2 ≤ 1
Adding 2 on both sides of the inequality equation , we get
x ≤ 3
Therefore , the value of x satisfies all the numbers that are less than or equal to 3
Hence , The solution set is {x | x R, x ≤ 3}
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Answer: D
Step-by-step explanation:
Answers
Answer:
The numbers are (x,y)=(-5,8) or (8,-5)
Step-by-step explanation:
Let two numbers be x and y,
We have,
x+y=3
x=3-y---(i)
Now,
xy=-40
(3-y)y=-40 [From (i)]
3y-y^2=-40
y^2-3y-40=0
Factoring,
(y + 5) (y - 8)=0
Either,
y+5=0 or, y-8=0
y=-5 y=8
When y=-5,
x=3-y
3--5
3+5
8
When y=8,
x=3-y
3-8
-5
b. C = 22π; A = 44π
c. C = 11π; A = 121π
d. C = 22π; A = 121π
Answers
A = πr^2
A = π (22/2)^2
A = π (11)^2
A = 121π
Answers
Answer:
A
Step-by-step explanation:
adding or subtracting from x results in a shift to the left or right and adding or subtracting from the whole equation shifts the graph up or down