Answer: Yes these triangles are similar
Step-by-step explanation:
First lets write down what we know just to make life easier
x=9
TL should be similar to CH
LY should be similar to KH
The angles should be equal due to SAS
So the first thing we know is true is the fact that they have equal angles. Now we have to find out if the sides are similar or if they change by the same ratio to the other. If TL is similar to CH and TL=25 and CH=10 what is the change in size or dilation. Division should do the trick so 25/10=2.5 so TY is greater than CH by a factor of 10. Which means that LY should also be greater than KH by a factor of 2.5. If we are told that x=9 than side LY or 4(9)-1=35 and KH 9+5=14
So side KH is 14 and LY is 35. Now to check if they are similar then KH should be greater by a factor of 2.5. If this is not true than the sides are not similar. 35/2.5=14
Since 35 divided by 2.5 is 14 we can tell both sides TL and LY are greater than KH and CH by a factor of 2.5
Hope this helps.
Assuming f(x) is the cost and X is the number of months.
f(x)=2x+40
Answer:
sin A = 13/85
Step-by-step explanation:
Opposite Angle A is side BC, of length 13. The length of the hypotenuse is 85. The sine function is defined as the ratio opp/hyp. In this problem that ratio is
opp
------ = sin A = 13/85
hyp
We use the inverse sine function arcsin x to determine Angle A:
A = arcsin 13/85 = 8.8 degrees
The price of ticket last year is $ 1231.65
<em><u>Solution:</u></em>
Given that,
This year, Sophia paid $1,071 for season tickets to her favorite baseball team , which is 15% cheaper than last year
To find: Price of season ticket last year
Let the price of season ticket last year be "x"
Therefore, according to question
Price of ticket this year is 15 % cheaper than price of ticket last year
1071 = price of ticket last year - 15 % of 1071
1071 = x - 15 % of 1071
Solve the above expression for "x"
Thus price of ticket last year is $ 1231.65
