The value of x = 13
Each side of the equilateral triangle is: 27 units.
<h3>What is an equilateral Triangle?</h3>A triangle is classified or defined as an equilateral triangle if all its sides are of the same length. This means, all equilateral triangles have side lengths that are congruent.
Since triangle MNP is said to be an equilateral triangle, all its sides would be equal to each other. Therefore:
MN = NP = MP
Given the following:
MN = 4x - 25
NP = x + 14
MP = 6x - 51
Thus:
MN = NP
Substitute
4x - 25 = x + 14
4x - x = 25 + 14
3x = 39
x = 39/3
x = 13
MN = 4x - 25 = 4(13) - 25 = 27
MN = NP = MP
NP = 27
MP = 27
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Answer:
y = - x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 3, 3) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line
m = = -
The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1
y = - x - 1 ← equation of line
Answer:
The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.
Equation :---
Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.