Answer:
At least 4 ways
Step-by-step explanation:
To show that two lines intercepted by a transversal are parallel, it is sufficient to show that:
- same side interior angles are supplementary (100°+80°=180°)
- interior alternate angles are congruent (80°=80°) Or (100°=100°)
- corresponding angles are congruent (80° or 100°)
- exterior alternate angles are congruent (80° or 100°)
We can do each of them in at least one way.
Therefore there is at least four ways
The first choice is correct.
At a track meet, Jacob and Daniel compete in 220 m hurdles.
Daniels finishes in of the a min.
Jacob finishes with of a min remaining.
Question:
Who ran the race in faster time?
The Process:
Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.
Let us draw the diagram that represents a minute.
12 units represent in one minute.
Daniels finishes in of the a min.
or 9 of 12 units.
Jacob finishes with of a min remaining, or 5 of 12 units. This means Jacob finishes in or 7 of 12 units, that is
And now we conclude who ran the race in a faster time.
Daniels:
Jacobs:
Because Jacob took the race in a shorter time, he was who ran the race in a faster time.
- - - - - - - - - -
Quick Steps
Daniels: in of the a min.
Jacob: in of the a min.
Jacob's time is shorter, so he's the fastest.
- - - - - - - - - -
Calculate the speed
Recall
Daniels:
Jacob:
Thus, Jacob's speed proved greater than Daniels's speed.
Answer:
∠ R 90°
Step-by-step explanation:
Given that in triangle RST
Now as per condition one angle is greater than sum of other two angles.
Since in triangle ,sum of all three angles = 180°
Hence if one angle is 90° then sum of other two must be equal to 90°
And if one angle is 90° then only other two angle be 45° each
Here Let if angle s = angle T = 30° then with this condition angle r is 120° , which is greater than 90°
So, from above it conclude that
For ,
∵ ∠ R = 120° , then it is greater than 90°
I.e , ∠ R 90°
Answer
Answer:
42
Step-by-step explanation:
(7)x6
42