Answer:
It's probably B
Step-by-step explanation:
The value of x such that the vertices 3x + 10 and x + 60 are equal is 25
<h3>What are vertices?</h3>
Vertices are the endpoints or corners of a shape (such as triangle, square, rectangle and related shapes)
<h3>How to determine the value of x?</h3>
The two vertices are given as:
3x + 10 and x + 60
The condition on the two vertices are not given.
So, we assume that the vertices are equal (as in the base angles of an isosceles triangle)
So, we have the following equation
3x + 10 = x + 60
Subtract x from both sides of the equation
2x + 10 = 60
Subtract 10 from both sides of the equation
2x = 50
Divide both sides of the equation by 2
x = 50/2
Evaluate the quotient
x = 25
Hence, the value of x such that the vertices 3x + 10 and x + 60 are equal is 25
Read more about vertices at:
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Answer:
26.2 cm
Step-by-step explanation:
b1 = (2×401.94)/19.8 - 14.4
= 40.6 - 14.4 = 26.2 cm
Answer:
(8.5, - 2 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 43 → (1)
2x - 3y = 23 → (2)
Multiplying (2) by - 3 and adding to (1) will eliminate the term in x
- 6x + 9y = - 69 → (3)
Add (1) and (3) term by term to eliminate x, that is
13y = - 26 ( divide both sides by 13 )
y = - 2
Substitute y = - 2 in either of the 2 equations and solve for x
Substituting into (1)
6x + 4(- 2) = 43
6x - 8 = 43 ( add 8 to both sides )
6x = 51 ( divide both sides by 6 )
x = 8.5
Solution is (8.5, - 2 )
<span>The question asks to find how long will it take until to fill the cone if 1413 cm^3 of water goes in it every minute. First we have to find the volume of the cone: V = 1/3 r^2 Pi * h; V = 1/3 * 60^2 * 3.14 * 150 ; V = 1/3 * 3600 * 471; V = 565,200 cm^3. If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes. </span>
