Answer:
50.2in or 4.2ft
Step-by-step explanation:
This is a problem about proportions so I generally set up my problems like below. I just set some variable here to make it easier to refer back to the measurements for each. You don't have to do this, I am just showing it for clarity. I will convert everything to inches too. We need to find the real window height.
Mb = model building = 18in
Mw= model window = 
in
Rb = real building = 678ft = 8136in
Rw = real window = ?
= 
= 
=
=
= 
= Rw
= Rw
Rw ≈ 50.2in ≈ 4.2ft
Answer:
$44,000
Step-by-step explanation:
The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:
x*0.09= 4,050
Now, you can isolate x to find her salary this year:
x=4,050/0.09= 45,000
Then, you have that this year salary was 1000 more than in her previous year. As you have found her salary for this year, you can subtract 1,000 from it to find her salary in the previous year:
45,000-1,000= 44,000
According to this, the answer is that her salary in the previous year was $44,000.
Answer:
<4= 164
Step-by-step explanation:
the sum of any 2 angles of a triangle is equal to the exterior linear angle of the triangle
<1+<2=<4
8x+9+5x+12=14x+10
13x+21=14x+10
21=x+10
11=x
<4=14x+10
<4=14(11)+10
<4=154+10
<4= 164
Answer:
47 if not
Step-by-step explanation:
srooy i'm only 6
<h3>
Answer: Perpendicular</h3>
=========================================================
Work Shown:
Solve the first equation for y
3x+7y = 15
7y = -3x+15
y = (-3x+15)/7
y = (-3/7)x + 15/7
The slope here is -3/7
-------
Solve the second equation for y
7x-3y = 6
-3y = -7x+6
y = (-7x+6)/(-3)
y = (7/3)x - 2
The slope here is 7/3
-------
The slopes -3/7 and 7/3 are not equal, so we don't have parallel lines.
The lines however are perpendicular because the slopes multiply to -1
(-3/7)(7/3) = (-3*7)/(7*3) = -21/21 = -1
