So if you distribute 4 in the first parentheses, you get 12x+20y+8z.
Then you distribute 3 in the second parentheses. You'll get 3x-3z. That all equals 12x+20y+8z+3x-3z.
Now you have to start combining numbers with the same variable. Start with x. 12x+3x is 15x.
y has no other common variable, it's left alone.
8z-3z is 5z
All together now with the numbers in simpler form, the equation is 15x+20y+5z
Jenna's would be the right answer because when you distribute 5 in her answer you get 15x+20y+5z
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
Answer:
Yes
Step-by-step explanation:
Yes
because we are given that
LN ≅ XZ ( side)
the picture shows that
LM ≅XY ( side)
and
MN ≅ YZ (side)
By the <u>SSS theorem of congruency</u> we conclude that ΔLMN ≅ ΔXYZ
Answer:
The answer is d
Step-by-step explanation:
0.09
Answer:
49.1 cm^2
Step-by-step explanation:
The appropriate area formula is ...
area = (1/2)(side 1)(side 2)(sin(angle between))
= (1/2)(10 cm)(12 cm)·sin(55°) = 60·sin(55°) cm^2
area ≈ 49.1 cm^2