Answer:
The triangles aren't necessarily congruent. SAS postulate is side angle side, which means that the angle that is congruent must be between the two sides that are congruent. DF is congruent to MN, and DG is congruent to MP. This means, that angle D must be congruent to angle M.
However, we only know that D is congruent to P, not M.
These triangles are not necessarily congruent.
Answer: 40
Step-by-step explanation:
Since 40 could be = 1 x 40, 2 x 20, 4 x 10, or 5 x 8.
The Factors of 40 will therefore be: 1, 2, 4, 5, 8, 10, 20, 40.
The Prime factor then is: 2, 2, 2, 5
Multiplying them together gives 40.
Answer:
The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:
Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:
When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:
This 0 acts as a placeholder so that this row is aligned properly.
When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit
Answer:
21/20
20/29
21/20
20/29
21/29
20/21
Step-by-step explanation:
Use Soh Cah Toa for each, using the right equation for the right angle
e.g for sin(z) we use the opposite/adjacent for that angle
- the hypotenuse is the biggest size
- the opposite is the side opposite to the angle you are using
- the adjacent is the other side
The answer is 678.09 plus 804
