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Vlad [161]
2 years ago
11

One of the tables shows a proportional relationship.

Mathematics
1 answer:
beks73 [17]2 years ago
5 0

Answer:

See attached

Step-by-step explanation:

The graph of a <u>proportional linear relationship</u> is a line that <u>passes through the origin</u> (0, 0).

From inspection of the given tables, the <u>linear equations</u> for each table of points is:

  • Table 1:  y = x + 1
  • Table 2:  y = x/2
  • Table 3:  y = x + 2
  • Table 4:  y = 2x + 1

The only equation for which y = 0 when x = 0 is y = x/2  →  Table 2.

Given points from Table 2:

  • (2, 1)
  • (4, 2)
  • (6, 3)
  • (8, 4)

To <u>graph the line</u>, plot the given points and draw a line through them (see attached).

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It is given
vekshin1

Answer:

  • (C) DF=4 cm, ∠A=80⁰

Step-by-step explanation:

<h3>Question </h3>
  • It is given the ∆ABC≅∆FDE and AB=4 cm, ∠B=40⁰ and ∠E=60⁰, then which of the following is true.
  • (A) DE=4cm, ∠A=80⁰
  • (B) DE=4 cm, ∠C=80⁰
  • (C) DF=4 cm, ∠A=80⁰
  • (D) DF=4cm, ∠C=80⁰​
<h3>Solution</h3>

<u>Corresponding sides and angles are:</u>

  • AB ≅ FD
  • ∠A≅∠F, ∠B≅∠D, ∠C≅∠E

<u>Given</u>:

  • AB = 4 cm, so FD = 4 cm
  • ∠B = 40⁰ and ∠E = 60⁰, so  ∠D = 40⁰ and ∠C = 60⁰

and

  • ∠A = ∠F = 180⁰​ - (40⁰​ + 60⁰​) = 80⁰​

Considering all above we see that correct answer option is (C) ​

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