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SIZIF [17.4K]
3 years ago
7

What is the value of x, given that PQ parallel to BC

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

since PQ ||BC,

Angle A is common for both triangles angle P = angle B

triangles ABC, APQ are similar,then their corresponding sides are in proportion

AP/PB =AQ/QC

4/8=x/16

x=8

coldgirl [10]3 years ago
8 0

Do you know basic proportionality theorem ? You can solve the problem easily by this.

In short: BPT is if a line is parallel to a side of the triangle which intersects the other sides imto two distinct points, then the line divides those sides in proportion.

In your problem, it's given that the mutual lines are parallel (PQ || BC), so it makes it divide |AP| with |AB| and |AQ| with |AC| proportionally.

|AP| / |AB| = |AQ| / |QC|

4/12 = x/16+x

4(16+x) = 12x

x=8

Hope it helps!

#MissionExam001

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3 years ago
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kozerog [31]

Answer:

The given situation is an example of ultimatum game.

Explanation:

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For example a player is given a sum of money, $ 20.  He is called proposer. He is told to offer some endowed amount (from $1 to $20) to the other player who is responder. If responder accepts this amount offer they both keep that money but if the responder rejects the offer then both players get nothing.

3 0
3 years ago
What’s the answer please
skad [1K]

Answer:

h  ≤ 124 / 9

or

h  ≤ 13.78

Step-by-step explanation:

(3/4) (12h - 32) ≤ 100      (multiply both sides by 4)

(3) (12h - 32) ≤ 100 (4)

(3) (12h - 32) ≤ 400   (distribute 3 into the parenthesis)

(12h)(3) - (32)(3) ≤ 400   (expand left side terms)

36h - 96 ≤ 400   (add 96 to both sides)

36h  ≤ 400  + 96

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h  ≤ 496 / 36   (sinmplify)

h  ≤ 124 / 9

or

h  ≤ 13.78

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3/4 is the answer
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