Answer:
C. 500 + 300 + 50 + 10 + 7
Step-by-step explanation:
Which expression represents the number 867?
A. 80 + 60 + 70
B. 800 + 6 + 7
C. 500 + 300 + 50 + 10 + 7
D. 500 + 300 + 60 + 70
Checking the answer choices by adding the expression
A. 80 + 60 + 70
= 210
No correct
B. 800 + 6 + 7
= 813
Not correct
C. 500 + 300 + 50 + 10 + 7
= 867
Correct
D. 500 + 300 + 60 + 70
= 930
Not correct
Therefore option C. 500 + 300 + 50 + 10 + 7 is the correct answer
Answer:
The coordinates of the point S = (12, -22)
Step-by-step explanation:
The coordinate points of T = (0,6)
Mid point of ST = (6,-8)
Let the coordinates of S = (a,b)
Now, BY MID POINT FORMULA:
If (x, y) and (z, w) are the line point joining line segment and (p,q) is the coordinate of mid point. Then
So, here similarly, 
⇒ 
⇒ a =2 x 6 = 12, b = 2 (-8) -6 = -22
⇒(a,b) = (12, -22)
Hence, the coordinates of the point S = (12, -22)
Answer:
5. I agree with your answer choice.
6. 13.3
Step-by-step explanation:
5. You have m∠1 = 90° = m∠2, so it is reasonable to invoke the transitive property. (Step 4 would use "angles with the same measure are congruent" to complete the proof.)
6. The difference in x-coordinates is (4-1) = 3. The difference in y-coordinates is (22-9) = 13. By the Pythagorean theorem, the distance between the points is ...
... √(3² +13²) = √178 ≈ 13.342 ≈ 13.3
Radius is 5, diameter is 10
because 4/3 x 5^3 pi = 500/3 pi cm^3
