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VladimirAG [237]
3 years ago
5

The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)

Mathematics
1 answer:
____ [38]3 years ago
5 0
<h3>Answer: y = 1.2</h3>

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 .... divide both sides by 8

y = 1.2

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Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A
lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
  • Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
  • Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ <u>ΔABC is similar to ΔADC</u> by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to <u>AA similarity postulate</u>,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

3 0
2 years ago
Is 2/4 greater then 5/6?
AfilCa [17]

Answer:

No 5/6 is greater

Step-by-step explanation:

2/4 is half. Half of 6 is 3.

3 0
2 years ago
Is 5 right??!! If yes just put yes. If no explain and put what i should put.
Nana76 [90]
Yes 5 is right, good job
7 0
3 years ago
Find the sum of 3.8 + (-2.9)
MakcuM [25]

Answer:

3.8 - 2.9= .9

ANSWER : .9

6 0
2 years ago
Read 2 more answers
3-BE
nata0808 [166]
  • \sf \vec{w}=16km
  • \sf \vec{s}=9km

Total distance

\\ \sf\longmapsto PQ=16km-9km

\\ \sf\longmapsto PQ=7km

4 0
2 years ago
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