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Komok [63]
3 years ago
15

Help please I asp !!!

Mathematics
1 answer:
Mice21 [21]3 years ago
8 0

Answer:

Step-by-step explanation:

1

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In triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). F
Sophie [7]

Answer:

The length of DE is 14 cm.

Step-by-step explanation:

Given in triangle ABC segment DE is parallel to the side AC . (The endpoints of segment DE lie on the sides AB and BC respectively). we have to find the length of DE.

Given lengths are AC=20cm, AB=17cm, and BD=11.9cm

In ΔBDE and ΔBAC

∠BDE=∠BAC       (∵Corresponding angles)

∠BED=∠BCA       (∵Corresponding angles)

By AA similarity rule, ΔBDE~ΔBAC

∴their corresponding sides are in proportion

⇒ \frac{BE}{BC}=\frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{BD}{BA}=\frac{DE}{AC}

⇒ \frac{11.9}{17}=\frac{DE}{20}

⇒ DE=\frac{20\times 11.9}{17}=14cm

5 0
3 years ago
4. The length of a rectangle is one more than twice the width. The area is 105 in?.
Zanzabum

9514 1404 393

Answer:

  7 in

Step-by-step explanation:

For width w in inches, the length is given as 2w+1. The area is the product of length and width, so we have ...

  A = LW

  105 = (2w +1)w

  2w^2 +w -105 = 0

To factor this, we're looking for factors of -210 that have a difference of 1.

  -210 = -1(210) = -2(105) = -3(70) = -5(42) = -6(35) = -7(30) = -10(21) = -14(15)

So, the factorization is ...

  (2w +15)(w -7) = 0

Solutions are values of w that make the factors zero:

  w = -15/2, +7 . . . . . negative dimensions are irrelevant

The width of the rectangle is 7 inches.

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2 years ago
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5 8/12 - 9/12

4 20/12 - 9/12

4 11/12

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3 years ago
If 3t-7=5t, then 6t=?
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3t-7=5t\\\\5t=3t-7\ \ \ \ /-3t\\\\5t-3t=3t-3t-7\\\\2t=-7\ \ \ \ /\cdot3\\\\2t\cdot3=-7\cdot3\\\\6t=-21
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3 years ago
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