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3 years ago

An angle bisector always creates two acute angles. find a counterexample to show that the conjecture is false.

1 answer:

5 0

An acute angle is an angle that is less than 90°. An angle bisector is a ray drawn along an angle that bisects it into two equal and adjacent parts. Now, if the total angle is, say 270°, which is more than a half circle, it would result to two 135-degree angles. In this case, the angle is no longer acute, but obtuse.

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Help me with this. i am not smart ..

marta [7]

I’m not that smart... but let me use first as example.. 240 divided by 4

3 0

3 years ago

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Arrange the summation expressions in increasing order of their values.

dolphi86 [110]

∑ 4 * 5^(i-1) = 4 + 20 + 100 + 500 = 624
∑ 3 * 4^(i-1) = 3 + 12 + 48 + 192 + 768 = 1,023
∑ 5* 6^(i-1) = 5 + 30 = 35
∑ 5^(i-1) = 1 + 5 + 25 + 125 = 156
Answer:
∑ (i=1, 2) 5 * 6^(i-1) < ∑ (i=1, 4) 5^(i-1) < ∑ (i=1, 4) 4 * 5^(i-1) <
< ∑ (i=1, 5) 3 * 4^(i-1)

5 0

3 years ago

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A mechanic charges $60 to inspect your heater, plus $70 per hour to work on it. You owe the mechanic a total of $410. Write and

ratelena [41]

Answer:

($410 - $60) / $70 = 5

After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!

3 0

3 years ago

Deva bought 9 1/2 m of cloth for rupees 28 1/2.Samruth buys 26 1/3 m of same cloth. how much should samruth pay the shopkeeper?

likoan [24]

For this case we can make the following rule of three:

9 1/2 m --------------> 28 1/2 rupees

26 1/3 m -------------> x

From here, we clear the value of x.

We have then:

$x = (\frac{26+\frac{1}{3}}{9+\frac{1}{2}}) (28+\frac{1}{2})$

Rewriting we have:

$x = (\frac{\frac{79}{3}}{\frac{19}{2}}) (\frac{57}{2})$

$x = (\frac{158}{57}) (\frac{57}{2})$

$x = \frac{158}{2}$

$x = 79$

Answer:

samruth should pay 79 rupees to the shopkeeper

5 0

3 years ago

The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct

Eva8 [605]

Answer:

V (t) = 28,900 - 4,335t

The function clearly represent a decay

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - 4,335t

The function clearly represent a decay.

8 0

3 years ago