ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel
1 answer:
<u>Try this</u>:
FA/AB = AE/AD by the side-splitter theorem because EF ║ BD
∠FAE ≅ ∠BAD because an angle is congruent to itself
AE/AD = EG/DC by the side-splitter theorem because EG ║ CD
∠AEG ≅ ∠ADC because they are corresponding angles where a transversal crosses parallel lines
quadrilateral AFGE is similar to quadrilateral ABCD by SASAS similarity of quadrilaterals
From here, there are numerous ways to reach the conclusion. One of them is ...
∠AFG ≅ ∠ABC by corresponding angles of similar quadrilaterals
∴ FG ║ BC because ∠AFG and ∠ABC are corresponding angles where transversal AB crosses FG and BC
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The number of cookies and trays are illustrations of greatest common factors.
- The number of trays is 8
- 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
The given parameters are:
<u>(a) The number of trays</u>
To do this, we simply calculate the greatest common factor of 48, 64 and 120
Factorize the numbers, as follows:
So, the GCF is:
Hence, the number of tray is 8
<u>(b) The number of each type of cookie</u>
We have
Divide each cookie by the number of trays
So, we have:
Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray
Read more about greatest common factors at:
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Answer:
y = 1/4x + 5
Step-by-step explanation:
The given line has a "rise" of -8 for a "run" of 2, so a slope of ...
m = rise/run = -8/2 = -4
The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...
-1/m = -1/(-4) = 1/4
The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...
y = 1/4x + 5 . . . . the third choice
