SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches
To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches
Answer:
y=-\frac{5}{3} x+\frac{10}{3} or what is the same: 
Step-by-step explanation:
First we find the slope of the line that goes through the points (-4,10) and (-1,5) using the slope formula: 
Now we use this slope in the general form of the slope- y_intercept of a line:

We can determine the parameter "b" by requesting the condition that the line has to go through the given points, and we can use one of them to solve for "b" (for example requesting that the point (-1,5) is on the line:

Therefore, the equation of the line in slope y_intercept form is:

Notice that this equation can also be written in an equivalent form by multiplying both sides of the equal sign by "3", which allows us to write it without denominators:

Answer:
length = 25
Step-by-step explanation:
7(x)=175
x=25
Answer:
It all depends on the type of coins stacked
Answer:

Step-by-step explanation:
At the beginning, the jar contains the following beans:
5 purple
6 yellow
8 green
5 orange
Therefore, the total number of jellybeans in the jar tha beginning is:

The number of yellow beans at the beginning is

Therefore, the of selecting a yellow jellybean at the beginning is

After selecting this yellow bean, the yellow bean it is replaced in the jar, so the number of total beans is still n = 24.
And the number of purple beans inside is

So, the probability of selecting a purple bean at the 2nd attempt is

Therefore, the combined probability of selecting a yellow jellybean followed by a purple one is
