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°
15*0.65= $9.75 is the sale price
b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
Answer:
x = 7
Step-by-step explanation:
move all terms that don't contain x to the right side and solve :)