Check the picture below
if that red segment, GJ, is parallel to the AE base segment of the triangle, then, the segment GJ is the midsegment of the triangle, and by the side-splitter theorem, those two triangles are similar.
Step-by-step explanation:
The ratio's can be expressed as fractions and you may compare those.
In order to compare fractions you need to bring them into equal denominator.
8 and 9 have LCM of 8*9 = 72 since they have no common factors.
<u>The equivalent fractions with common denominator are:</u>
- 5/8 = 9*5/(9*8) = 45/72
- 7/9 = 8*7/(8*9) = 56/72
<u>Now we can compare the fractions:</u>
- 45/72 < 56/72, since 45 < 56
Answer:
Dist = 45 m/h * x h
Step-by-step explanation:
We know a speed is a measure of distance over time: speed = dist / time
In this case, we are looking for a distance expressed in terms of time.
So, we only need to modify the formula a bit: dist = speed * time
We don't know the time (which will be a variable), but we know their speed. So, the formula becomes:
Dist = 45 m/h * x h
Enter the number of hours in the formula and that will give you an approximation of the distance traveled within that time (approximation since our result will be rely on an average).
Answer: w = -2
Step-by-step explanation:
7w = -14
Divide both sides by 7
w = -2
That was brief but hope it helps!
Step-by-step explanation:
Steps of Construction
(i) Draw ray AB.
(ii) Construct ∠BAC = 60°.
(iii) Construct ∠BAD = 90°.
(iv) Bisect ∠CAD, so that ∠CAE = ∠EAD = 15°.
(v) We obtain ∠BAE = ∠BAC + ∠CAE = 60° + 15° =75°.
Hope this Helps!!!!