Answer:
perimeter = 6x + 15
Step-by-step explanation:
The perimeter of the triangle is the distance around the triangle.
We need to apply our ability to convert word problems in to mathematical expressions.
We were told that the bottom of the triangle is x units.
From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15
Four times the length of the bottom will be 4x .
12 more than 4 times the bottom will be 4x + 12.
Hence another side of the triangle is 4x + 12.
Finally we were told that the last side is 3 more than the bottom, that will be x + 3.
Answer:
68
Step-by-step explanation:
The lines on both sides of the number represent absolute value. Absolute value takes any number and turns it positive no matter what.
|-68| → 68
Best of Luck!
Since the angles are supplementary, we know that they must add up to equal 180 degrees by the definition of supplementary angles
set the sum of the 2 angles to equal 180 and solve for x
6x + 48 + 60 = 180
6x + 108 = 180
6x = 72
x = 12
you could check to make sure that your x value is correct by plugging it back into the equation
6(12) + 48 + 60 = 180
72 + 48 + 60 = 180
120 + 60 = 180
180= 180
hope this helped!
Area of a triangle is given by half the product of two of the sides and the sine of the included angle.
Thus, the area of the triangle is 0.5 x 27.6 x 30 x sin 23^o = 161.76 cm^2
Answer:
2
Step-by-step explanation:
The trick here is to reduce each of the bases to lowest form first