Let's solve this problem step-by-step.
To begin with, it is important to establish the following formula:
Angle sum of all triangles = 180°
Using this formula as well as the values of two out of three of the angles given, we can identify the value of the unknown angle as displayed as the following:
Let the unknown angle = x
Make (x) the subject as displayed as the following:
Angle sum of all triangles = 180°
180 = x + 63 + 59
x = 180 - 63 - 59
x = 58°
Therefore, the measure of each of the angles is as follows:
63°
59°
58°
3218.7/2 is 1 mile so answer is
2(3218.7/2)= 11265.45
2x-438 = -438+2x= 2(x-219)
Answer:
x = 12 , y = 10
Step-by-step explanation:
Let x , y are two numbers.
x > y
1 ) Three times the greater is 18 times their
difference
3x = 18( x - y )
x = 6( x - y )
x = 6x - 6y
6y = 5x
y = 5x/6 ——-( 1 )
2 ) 4 times the smaller is 4 less than twice
the sum of the two
4y + 4 = 2 ( x + y )
2y + 2 = x + y
y = x -2 ——( 2 )
From ( 1 ) and ( 2 ) ,
5x/6 = x -2
( 5x /6 ) - x = -2
( 5x - 6x ) /6 = -2
-x = -12
x = 12
Put x = 12 in equation ( 2 ) , we get
y = 12 - 2
y = 10
Therefore ,
x = 12 , y = 10
Answer: 258 yards
Step-by-step explanation:
Since Chad wants each balloon string to be 6 feet long, and Chad wants to get 43 balloons, the number of yards of string that he will need will be calculated by multiplying 43 by 6. This will be:
= 43 × 6
= 258 yards of string
