Answer:
1 3/8 ft.
Step-by-step explanation:
<em>The cabinet's center will be at the same place as the wall's center</em>. The wall's center is at its <em>3 1/8 ft mark</em>. The cabinet's center will also be at the wall's 3 1/8 mark. This means that both sides of the cabinet is <em>1 3/4 around the center line</em> (if my wording is vague, look at the image). So, we have to find <em>3 1/8 - 1 3/4</em>, which is 1 3/8 ft.
For every 1ft in the original, the model used 2in
1ft:2in
There are 12inches in a foot, so we could also write the ratio as
12in:2in
12/2=6 So the model is 6X smaller than the original
The length of the original was 9ft
L=9ft
The width of the original was 4ft
W=4ft
The height of the original is 6ft
H=6ft
The volume of the original is:
V=L*W*H
V=9*6*4=216ft³
Now lets find the dimensions of the model...
If the length of the original was 9 feet we just divide that number by 6 to find the length of the model.
9/6= 1 1/3 ft
The length of the model is 1 1/3ft or 16in
If the width of the original was 4 feet we just divide that number by 6 to find the width of the model.
4/6= 2/3 ft
The width of the model is 2/3ft or 8in
If the height of the original was 6 feet we just divide that number by 6 to find the height of the model.
6/6=1ft
The height of the model is 1ft or 12 inches
The volume of the model is...
V=l*w*h=16in*8in*12in=1536in³
***Edit*** The answer is now completed
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
AB=(-0.5 , 0)
Step-by-step explanation:
Given point
A = (-3,-5)
B = (2,5)
AB = {(x1+x2)/2 , (y1+y2)/2}
AB = {(-3+2)/2 , (-5+5)/2}
AB = (-0.5 , 0)
Answer:
20
Step-by-step explanation:
because angle 5 is found on the same line as 45 degrees (don't remember what that's called), we can subtract from 180 to find
angle 5 = 135
angle 5 and 5x+35 are alternate interior angles, so they have the same value
135=5x+35
100=5x
20=x