Given:
Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.
To find:
The values of x and y.
Solution:
We have,
(Given)
(CPCTC)



Divide both sides by 4.

In ∆BTS,
(Angle sum property)




Now,
(CPCTC)



Divide both sides by 7.

Therefore, the value of x is 9 and value of y is 14.
Answer:
D. x + 10 pence
Step-by-step explanation:
Since the pen costs 10 pence more than the ruler, we need to add 10 to x.

Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24
The answer is 73.24 years.
Answer:
$72
Step-by-step explanation:
Multiply $120*0.40 to see how much money is being taken off, this equals $48. Remember that this $48 is how much you want to remove from $120, so 120-48=72.
Answer:
w = 
(Anyone can correct me if I'm wrong)
Step-by-step explanation:
Before we start the solving, we can make the following statements:
Area = l x w
Area = 5x + 25
therefore,
l x w = 5x + 25
Since the question states that the length is x more than the width, so we can make the following statement:
w = l + x
With this, we can substitute it to the first statement we made, l x w = 5x + 25,
l x (l + x) = 5x + 25
+ lx = 5x + 25
lx - 5x = 25 - 
x(l - 5) = 25 - 
x = 
From this, we can find w by substituting it in the statement we made earlier, w = l + x,
w = 