Answer:
∠ DAB = 48°
Step-by-step explanation:
The sum of the 3 angles in Δ ACD = 180° , then
∠ CAD + 60° + 90° = 180° , that is
∠ CAD + 150° = 180° ( subtract 150° from both sides )
∠ CAD = 30°
Then
∠ DAB + ∠ CAD = ∠ CAB
∠ DAB + 30° = 78° ( subtract 30° from both sides )
∠ DAB = 48°
Part A:
We need to divide
5 ÷ 2/3
5/1 ÷ 2/3
5/1 * 3/2
15/2 or 7 1/2 plates of nachos.
Part B:
If Rachel can make 7 1/2 plates of nachos with 5 cups of cheese we need to multiply and subtract.
ma2/3 * 9 = 18/3 or 6 cups of cheese to make 9 plates
6 - 5 = 1 more cup of cheese she needs to make 9 plates
Best of Luck!
Around 70-80 depending on how many people I’m texting
TL;DR(too long didn't read): answer is 3/4
This question may look confusing, however, it is more easily understood once you see that the fractions appear to be changing more randomly than they are in a way you can recognize, however, they're not. Since they look like that it's because they're being multiplied by a fraction. Split the fractions into two to make it easier. 3/2 and 9/8, just look at them as '3' and '2' and '9' and '8'. 3 becomes 9. Which means either 6 was added or 3 was multiplied by 3. Compare to the next row, 27. 9-->27 can't be 6, so it's being multiplied by 3. Now for the bottom. 2 becomes 8, and knowing that the numerator of the fraction is being multiplied, so is the denominator then, so 2-->8 is 2 times 4. Put the numerator and denominator back together and you have 3/4. The answer is 3/4.
A line is infinitely long but is only one-dimensional.
A solid is three-dimensional but not infinite.
Geometric space is infinite but is three-dimensional.
So, that leaves a plane, which is two-dimensional and infinitely large. The answer is A plane!