Answer:
19 28/33
Step-by-step explanation:
lets work out the whole number parts first:
= 19 + 17 - 16 = 20.
4/12 + 2/11 - 6/9
= 1/3 + 2/11 - 6/9
Find the LCM of the denominators:
3 = 3
11 = 11
9 = 3*3
- so the LCM is 3*3*11 = 99.
So we have:
33/99 + 18/99 - 66/99
= 51/99 - 66/99
= -15/99
= -5/33
So the answer is 20 - 5/33
= 19 28/33
You just had to subtract 5/33 from 20.
Answer:
A.Yes B.Yes C.No D.Yes E.No F.No
Step-by-step explanation:
10% of 84 is 8.4 and 84-8.4=76.6 and anything between 76.6-84 could have been the estimate.
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
Answer:
your answer is correct.
Step-by-step explanation:
For the purpose here, we'll call the missing point on the arc through Z point X.
Essentially, you want to make ΔXYZ ≅ ΔLMN by SSS. The construction so far ensures LM ≅ MN ≅ XY ≅ YZ. By copying the length LN to XZ, you ensure the congruence of the remaining sides of the triangles.
Then ∠XYZ ≅ ∠LMN because corresponding parts of congruent triangles are congruent.
In short, XZ needs to be the same distance as LN.
