Answer:
x=26
C = 91
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
A + B+ C = 180
35+ 52+ 3(x+5) = 180
Distribute
35+52+3x+15 = 180
Combine like terms
102 +3x = 180
Subtract 102 from each side
102-102 +3x=180-102
3x= 78
Divide by 3
3x/3 = 78/3
x=26
Now we need to find angle C
c = 3(x+5)
C = 3(26+5)
3(31)
93
I hope this helps you
x=10 f(10)=|10+5|=|15|=15
x=-5 f(-5)=|-5+5|=|0|=0
x=0 f(0)=|0+5|=|5|=5
Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
Answer:
let cp be x
sp= 115x/100 ---(when 15%gain)
sp = 88x/100------(when 12% loss
according to question
115x/100 - 88x/100 = 81
or, (115x-88x)= 8100
or, 27x = 8100
or, x= 8100/27
x = 300
hence cp is RS 300
Answer:
12.22
Step-by-step explanation:
To find HI, you have to use tangent. tanx=
tan(42°)=
, then you multiply HI to both sides of equation and divide tan(42).
To get <em>HI</em>=
Which makes HI equal 12.2167
