The interior angles of a triangle add up to 180 degrees
a = 1st angle, b = 2nd angle, c = 3rd angle
c = 6a
b = a + 60
a + b + c = 180
a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle
b = a + 60
b = 15 + 60
b = 75 <=== and another one
c = 6a
c = 6(15)
c = 90 <=== and the last angle
Answer:

Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:

Solve for x


So:


At this point, we have established that the rhombus is made up 4 triangles of the following dimensions


So, the area of the rhombus is 4 times the area of 1 triangle




Absolute value means the total distance from zero. So you get rid of any negative signs and then look at which number has the lowest value (which is the smallest number without any negative signs).
Answer:
After 5 hours the two would charge the same amount of money.
Step-by-step explanation:
Designer A: $450 + ($105/hr)x, where x is the number of hours worked;
Designer B: $725 + ($50/hr)x
Equating these two formulas, we get:
$450 + ($105/hr)x = $725 + ($50/hr)x
Subtracting $450 from both sides: ($55/hr)x = $275
Dividing both sides by $55 yields the number of hours worked:
x = $275/$55 = 5
After 5 hours the two would charge the same amount of money.
Answer:
An irrational number is a number that is not rational that means it is a number that cannot be written in the form
p
q
. An irrational Number is a number on the Real number line that cannot be written as the ratio of two integers. They cannot be expressed as terminating or repeating decimals. For example.
Pi = 3.14…..It continues forever and never repeats. The few digits of this pattern look like 3.1415926535897932384626433832795
√3 = 1.732050807. So one of the most important thing about irrational numbers is that it never repeats and never terminates.
Step-by-step explanation: