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lozanna [386]
3 years ago
15

Solve this equation: -3r -6(-7-10r)

Mathematics
1 answer:
blondinia [14]3 years ago
7 0
Answer: 57r + 42

Step by step explanation:

-3r - 6(-7 - 10r)

Distribute -6 through the parenthesis

-3r + 42 + 60r

Collect the like terms

57r + 42
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Select the expression that shows the application of the distributive property for
sergeinik [125]

Answer:

c. 9t+45 that shows distributive property

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2 years ago
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
Write a function rule for the table- please help
Ipatiy [6.2K]

Answer: The 3rd option

Step-by-step explanation: f(x) aka 5 is = to x aka 2+3 (2+3=5)

Plz make brainliest

7 0
3 years ago
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What is the commutative property of 9 + 8 equals 17
jeyben [28]
The commutative property of 9+8=17 is 8+9=17 because the commutative property states that it doesn't matter the order of the number but as long as u get the same answer.
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3 years ago
Hellllllllllllllllllllllllllllp!!!!!!!!!!!!!!!! will give brainliest
zavuch27 [327]

Answer:

Step-by-step explanation:

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0.141π(area of middle) + 0.141π(area of circle) =

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2 years ago
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