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3 years ago

Consider triangles CBD and BDE and answer the questions that follows

Mathematics

1 answer:

nexus9112 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

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Please help with this problem!!! ill award brainliest

Yuri [45]

Answer:

The initial fee for the ticket is 3.5 dollars

Step-by-step explanation:

For 4 stops, the price of a ticket is 8 dollars

For 8 stops, the price of a ticket is 14 dollars.

- The number of stops increased in this case is: 8 -4 = 4 stops

When there are more 4 stops, the price of a ticket also increase from 8 to 14 dollars => the increase in price is: 14 - 8 = 6 dollars.

Similarly, for 8 stops, the price of a ticket is 14 dollars.

For 12 stops, the price of a ticket is 20 dollars.

- The number of stops increased in this case is: 12 - 8 = 4 stops

When there are more 4 stops, the price of a ticket also increase from 14 to 20 dollars => the increase in price is: 20 - 14 = 6 dollars.

So that, the price for an extra stop is constant and equal to: 6/4 = 1.5 dollars

=> The price for 3 extra stops is: 1.5 x 3 = 4.5 dollars

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5 0

3 years ago

Company earns S dollars by selling y items per week. According to the equation S(y)=−2y^2+60y+10, how many items does company ne

sp2606 [1]

Answer:

$Max = 15$

Step-by-step explanation:

Given

$s(y) = -2y^2 + 60y + 10$

Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

$s(y) = ay^2 + by + c$

And the maximum is calculated as:

$Max = \frac{-b}{2a}$ If a<0

Comparing $s(y) = ay^2 + by + c$ to $s(y) = -2y^2 + 60y + 10$

We have that:

$a = -2$ $b = 60$ $c = 10$

Substitute these values to

$Max = \frac{-b}{2a}$

$Max = \frac{-60}{2 * -2}$

$Max = \frac{-60}{-4}$

$Max = 15$

<em>The number of item that maximizes the function is when y = 15</em>

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3 years ago

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Marrrta [24]

Answer:

4/10 and 6/15

Step-by-step explanation:

6/15 and 4/10 simplified equals 2/5

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3 years ago

One pound is equal to 16 ounces. Which of the following is the same as 1/8 pound?

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

1/8 x 16=2

1/8 pound=2 ounces

1 pound= 16 ounces

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3 years ago

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puteri [66]

Answer:

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