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just olya [345]
3 years ago
6

Help me please I’m down baddddd

Mathematics
1 answer:
Pani-rosa [81]3 years ago
8 0

Answer:

a. m<B = 100°

b. m<L = 55°

c. Scale factor = 9/11

Step-by-step explanation:

a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.

Since ∆ABC ~ ∆GLJ, therefore,

<A = <G,

<B = <J

<C = <L

m<J = 100° (given)

Therefore,

m<B = m<J = 100°

m<B = 100°

b) m<A = m<G

m<A = 25° (given)

Therefore,

m<A = m<G = 25°

m<G = 25°

m<L = 180° - (m<J + m<G)

Substitute

m<L = 180° - (100° + 25°)

m<L = 55°

c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle

Scale factor = AB/GJ

Substitute

Scale factor = 18/22

Simplify

Scale factor = 9/11

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Step-by-step explanation:

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8 0
3 years ago
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Consider the sequence 3, 6, 12, 24, 48, .... (a) Write a recursive rule to represent the sequence. (b) Write an explicit rule to
saveliy_v [14]

Answer:

  a. a[1] = 3; a[n] = 2a[n-1]

  b. a[n] = 3·2^(n-1)

  c. a[15] = 49,152

Step-by-step explanation:

Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.

The first term is 3, and the common ratio is 2.

<h3>(a)</h3>

The recursive rule is ...

  a[1] = 3

  a[n] = 2×a[n-1]

__

<h3>(b)</h3>

The explicit rule is ...

  a[n] = a[1]×r^(n-1)

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__

<h3>(c)</h3>

The 15th term is ...

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5 0
2 years ago
Question is in the picture help I’m desperate
hichkok12 [17]

Answer:

the measure of <BAC = 60° and

46) option D is not true

8 0
3 years ago
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the boundary of a rectangular farm field in ireland has a straight rock wall along one side and fences along its other three sid
Inessa [10]

Answer:

781250 ft^{2}

Step-by-step explanation:

Let y is the length of the farm field

Let x is the width of the farm field

Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:

2x + y = 2500 feet

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The are of the farm has the following formula:

A = x*y

<=> A = x(2500 - 2x)

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To have  the maximum area of field in square feet, we need to use differentials to estimate:

\frac{dA}{dx} = 2500 - 4x

Set \frac{dA}{dx} = 0, we have:

2500 - 4x  = 0

<=> x = 625 feet.

=> y = 2500 - 2*625 = 1250 feet

So the maximum area of field is:

A = x*y = 625*1250 = 781250 ft^{2}

7 0
3 years ago
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german

Answer:

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Step-by-step explanation:

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