Answer:
x=9
Step-by-step explanation:
We can use similar triangles and ratios. Put the small triangle side over the large triangle side.
9cm 3x -20
---------- = ---------------- We need to add the sides to get to the larger triangle
72+9 cm 3x-20 + 56
We can cross multiply to solve
9 * (3x-20+56) = (72+9) * (3x-20)
Simplify
9*(3x+36) = 81*(3x-20)
Distribute
27x +324 = 243x -1620
Subtract 27x from each side
27x-27x +324 = 243x-27x -1620
324 = 216x-1620
Add 1620 to each side
324+1620 = 216x
1944 = 216x
Divide each side by 216
1944/216 = 216x/216
9=x
Answer:
<u>The perimeter of the pentagon ≅ 19 units (approximately)</u>
Step-by-step explanation:
Clockwise, starting from the base of the pentagon, we have:
- Base of the pentagon or bottom side ≅ 4 units
- 2nd side ≅ 3.75 units
- 3rd side ≅ 3.75 units
- 4th side ≅ 3.75 units
- 5th side ≅ 3.75 units
In consequence,
Perimeter of the pentagon ≅ 4 + 3.75 + 3.75 + 3.75 + 3.75
<u>Perimeter of the pentagon ≅ 19 units</u>
Answer:
6x-11y=-13
Step-by-step explanation:
(x1,y1)=(3/2,2) and (x2,y2)=(-4,-1)
y-y1= y2-y1/x2-x1 (x-x1)
y-2=-3/-11/2(x-3/2)
=6/11(x-3/2)
11(y-2)=6x-9
11y-22=6x-9
6x-11y=9-22
6x-11y=-13
You can do this by converting this into a ratio or a fraction
Ratio:
1 lb for 4 guinea pigs
1:4
If he was 8 lbs for x guinea pigsit would be
1:4
8:x
Multiply the first ration until the one is equal to 8, then whatever the four turns into is x
Fraction: (easier way)
1/4 (1lb for 4 guinea pigs)
8/x (8lb for x guinea pigs)
1/4 = 8/x
Multiply one until it is equal to 8
Correspond that to the 4
1*8 = 8
4*8 = 32
32 guinea pigs
The length is 9 feet.
The formula for Area is A= L*W*H.
You are given A=189, W= 7 feet and H= 3 feet. Solve formula for
L.
189= L*7* 3
189=21 L
Divide both sides by 21 to solve for L
189/21 = 21L/21
9=L