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garik1379 [7]
3 years ago
11

ABCD is a plane quadrilateral and E is any point on AD. EF is drawn parallel to DB to meet AB in F, and EG is drawn parallel to

DC to meet AC in G. Prove that F G is parallel to BC. solution
Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0
UMMMMM just add ab plus f divide gggggggggggggggggg and add 666666666666666666666666666666666666666666666666666666666666666666666666666666666666
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For a 19 foot scale find the frequency of a note to the frequency of the preceding note?
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Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbe
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Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. If every performa
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X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000



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2 years ago
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
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Answer:

5 cm

Step-by-step explanation:

We khow that the altitude of this triangle is 1cm shorter than the base

  • Let H be our altitude and B our base and A the area of the triangle
  • A= (B*H)/2 ⇒ 15=(B*H)/2
  • H is 1cm shorter than B ⇒ B=H+1
  • H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0

that's a quadratic equation . Let's calculate the dicriminant .

Let Δ be the dicriminant

  • a=1
  • b=1
  • c= -30
  • Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0
  • Δ≥0⇔ that we have two solutions x and y
  • x= (-1-\sqrt{121})/2= (-1-11)/2= -6
  • y= (-1+\sqrt{121})/2= 10/2 = 5

We have a negative value and a positive one

The altitude is a distance so it can't be negative

H= 5cm

6 0
3 years ago
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