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:
1.3125
Step-by-step explanation:
1/2 divided by 2/7 is 1.75
1.75 divided by 4/3 equals 1.3125
I think but I'm not sure just double check I think it is .5 inches
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
10x+3 = 3x+24
10x-3x= 24-3
7x=21
X= 21/7
Final answer:
X=3
I’m not so sure of my answer but wish you the best and good luck!!
