Answer:
19cm
Step-by-step explanation:
An equilateral triangle is a triangle where the length of the 3 sides are the same.
the perimeter is the sum of the 3 sides
for example, if the length of the side of the an equilateral triangle is 5, the perimeter is 5 x 3 = 15
let x = unknown length of side
length after increase = x + 5
(x + 5) x 3 = 72
divide both sides of the equation by 3
x + 5 = 24
subtract 5 from both sides of the equation
x = 24 - 5 = 19cm
Answer:
y=x, x-axis, y=x, y-axis
Explanation:
Reflecting the figure across three axes just moves it from one quadrant to another. It does not map the figure to itself.
Reflecting across the line y=x moves it from quadrant II to IV or vice-versa. If it is in quadrant I or III, it stays there. So the sequence of reflections x-axis (moves from I to IV), y=x (moves from IV to II), x-axis (moves from II to III), y=x (stays in III) will not map the figure to itself.
However, the last selection will map the figure to itself. The initial (and final) figure location, and the intermediate reflections are shown in the attached. The figure starts and ends as blue, is reflected across y=x to green, across x-axis to orange, across y=x to red, and finally across y-axis to blue again.
25% or 1/4 in chance. 4 marbles and 16 other colours. 4/16=1/4=25%
Option B
Histogram shows quantitative data. Histograms are used to show the distribution of numerical data. In histogram , the bars are continuous that is adjacent to each other so it is used to represent numerical data.
Bar graphs always shows qualitative data. Bar graph describes the type of categories being compared. There are gaps between the bars. So Bar graphs are used to display categorical data.
A histogram can only display numerical data , while a bar graph can display categorical data
Answer:
at + vi = vf
Step-by-step explanation:
In order to solve for vf, we need to isolate said variable.
a = vf - vi/t (Given)
at = vf - vi (Multiply t on both sides)
at + vi = vf (Add vi on both sides)
