Answer:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Step-by-step explanation:
When two polygons are congruent, it implies that they have the same shape and size. Therefore, their corresponding angles and sides are congruent to each other.
When naming congruent polygons, the arrangement of the vertices are kept in a definite order of arrangement.
Therefore, Given that polygon DRMF is congruent to SLTO, the following angles and sides correspond to each other:
<D corresponds to <S
<R corresponds to <L
<M corresponds to <T
<F corresponds to <O
For the sides, we have:
DR corresponds to SL
RM corresponds to LT
MF corresponds to TO
FD corresponds to OS.
We can select any two out of these sets of corresponding angles and sides as our answer. Thus:
✔️2 sets of corresponding angles
<D and <S
<R and <L
✔️2 sets of corresponding sides
DR and SL
RM and LT
Answer:
Third number is 12
Step-by-step explanation:
Let 
be common difference & 
be the third number. Set up the following equations:
Solve the simultaneous equation for x-term:
Let’s make sure that we get accurately answer. Substitute x = 12 in any equations which I’ll choose (1):
Now add each terms with common difference as 7:
-2+7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
So our pattern is -2, <u>5</u>, <u>12</u>, <u>19</u>, 26. Since the question only asks for third number then the answer is 12
Time = distance / speed
Samma : 200/25.98 = 7.70 meters per second
Tom : 100 / 12.54 = 7.97 meters per second
so the faster runner is Tom
7x+y=7
in a slope intercept form
y=-7x+7
where,
slope(m)=-7 & c=7
Answer: 4 / 9
Solution:
Step 1: Simplify the possible terms in the equation
2/5 * 10/9
= 2 * 2 / 9 ( 10 would be cancelled out by 5 )
Step 2: multiply the remaining terms
= 4 / 9 Answer
Hope this solution will help you understand the question!
Tip: you can recheck the answer by a calculator, until you get a good grasp on the method. Always double check the answer or it will may cost you marks
