Answer:
The small triangle has a long leg of 8. The triangle area formula is used to derive this. Now, there can be a ration equation.
10/4 = x/8
x = 20
Now use the formula.
A=1/2bh
A=1/2(10*20)
A=100
Area of DEF is 100 m^2.
You have to go at this in a round-about fashion...by finding the length of the leg across from the 67 degree angle. This is found by using the tangent ratio...Tan(67)=x/137; x=137tan(67) = 322.8. Now you can use this in one of two ways: use Pythagorean's Theorem to find the length of the hypotenuse OR you could use the sin67=322.8/x. Up to you. Either way, make sure you have your calculator in degree mode!
Answer:
x = 2.25, y = 2.5
Step-by-step explanation:
-2x + 2y = -2 .............equ (1)
2x + 3y = 12 .............equ (2)
equ (1) + equ (2)
-2x + 2y = -2
+ 2x + 2y = 12
=> 0 + 4y = 10
=> 4y/4 = 10/4
=> y = 2½
Substitute for y in equ (2)
i. e, 2x + 3y = 12
=> 2x + 3(10/4) =12
=> 2x + 30/4 = 12
=> 2x = 12 - 30/4
=> 2x = (48 - 30)/4
=> 2x = 18/4
=> 8x = 18
=> x = 18/8
=> x = 2^2/8 or 2.25
x = 2.25, y = 2.5
Answer:
5x + 30
Step-by-step explanation:
5(5+x)
=(5)(6) + (5)(x)
=30 + 5x or 5x + 30
