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worty [1.4K]
3 years ago
6

Over the course of a month, Katniss caught three times as many squirrels as deer. She also caught five less rabbits than squirre

ls. The total number of animals she caught is ten more than four times the number of deer caught. How many rabbits did Katniss catch? - let x = number of deer​​​​ Write an equation for deer plus squirrels plus rabbits equals total: - Write an expression for squirrels:​​​ - Write an expression for rabbits: - Write an expression for the total number of animals:
Mathematics
1 answer:
NeTakaya3 years ago
8 0

Answer:

She caught 10 rabbits

Step-by-step explanation:

Given

Represent Rabbits with R; Squirrels with S and Deer with D

S = 3D

S = R - 5

S + R+ D = 10 +4D

Required

Determine the value of R

S + R+ D = 10 +4D

Solve for R

R = 10 + 4D - D - S

R = 10 + 3D - S

Recall that S = 3D

Substitute 3D for S

R = 10 + 3D - 3D

R = 10

Hence;

<em>She caught 10 rabbits</em>

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Answer:

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What is 8 × 1 + 3 × 0.1 + 9 × 0.01 in standard form
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Answer:

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I need help please. Thanks
Agata [3.3K]

Given:

m∠APD = (7x + 1)°

m∠DPC = 90°

m∠CPB = (9x - 7)°

To find:

The measure of arc ACD.

Solution:

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠APD + m∠DPC + m∠CPB = 180°

7x° + 1° + 90° + 9x° - 7° = 180°

16x° + 84° = 180°

Subtract 84° from both sides.

16x° + 84° - 84° = 180° - 84°

16x° = 96°

Divide by 16° on both sides.

x = 6

m∠APB = 180°

m∠BPD = (9x - 7)° + 90°

             = (9(6) - 7)° + 90°

             = 47° + 90°

m∠BPD = 137°

m∠APD = m∠APB + m∠BPD

             = 180° + 137°

             = 317°

<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>

m(ar ACD) = m∠APD

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The arc measure of ACD is 317°.

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