Answer:
x = 16 and y = 121
Yes, its a long process.
Step-by-step explanation:
vertical angles are congruent given that: we do this
(4x-5)+(4x-5)+y+y=360
or
2(4x-5)+2y=360
divide both sides by 2
(4x-5)+y=180
distribute (there is an invisible 1 beside the parentheses of 4x-5)
4x-5+y=180
add 5 to both sides
4x+y = 185
subtract y from both sides
4x = 185-y
divide both sides by 4
x = (185-y)/4
note that (4x-5) is also EQUAL to (3x+11)
4x-5=3x+11
subtract 3x from both sides
x-5=11
add 5 to both sides
x = 16
Now that we know what x is, we can substitute it in the equation we got from 2(4x-5)+2y=360
Our equation was
x = (185-y)/4
16 = (185-y)/4
Multiply both sides by 4
64 = 185-y
Subtract 185 from both sides
-121=-y
multiply both sides by -1
121 = y
Answer:
189
Step-by-step explanation:
Multiple 15 by 13 and get 195
Multiply 3 by 2 and get 6
Subtract 195 by 6 and get 189
Hope it helps
Answer:
Angle 1=66
Step-by-step explanation:
Step 1, solve for angle 2
<2+123=180 degrees
Angle 2=57 degrees
Step 2, solve for angle 1
Since this is an isosceles triangle, to solve for angle 1, the equation is 2(57)+x=180
Angle 1=66 degrees
To get the answer you divide the cds by 2 because the CD's are 1/2 in thick to get: 26 in