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1 year ago

Triangle ABC is an obtuse triangle with the obtuse angle at the vertex B angle A must be?

Mathematics

2 answers:

alekssr [168]1 year ago

7 0

Acute. No triangle can have more than 1 obtuse angle.

klasskru [66]1 year ago

6 0

If B is obtuse, B > 90 degrees, then the remaining two angles add up to less than 90 degrees, so must be acute. In fact, at least one of A and C is less than 45 degrees, but we can't tell which.

Answer: A must be acute

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Which explains why a caterpillar might look like a dangerous snake? *

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Answer:

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Step-by-step explanation:

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased

taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula $P(t)=466\cdot 1.035^t$ , which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

$900=466\cdot 1.035^t$

$\frac{900}{466}=\frac{466\cdot 1.035^t}{466}$ $1.9313304721030043=1.035^t$

Take natural log of both sides:

$\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)$

$0.658209129198=t\cdot 0.034401426717$

$\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}$

$19.1331927775=t\\\\t=19.1331927775$

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

$1990+20=2010$

Therefore, 900 million passengers would travel by airline in 2010.

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1 year ago

In how many ways can you put seven marbles in different colors into two jars? Note that the jars may be empty.

ahrayia [7]

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do $2^{7}$ .

That is 128

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1 year ago

in the figure below line de is parallel to line f g with a transversal AG write and solve a system of liner equation to determin

Kay [80]

The complete question in the attached figure

we know that

angle y and angle (5y-18) are supplementary angles
then
y°+(5y-18)°=180°------> 6y=180+18------> y=198/6-----> y=33°
and
angle x and angle y are also supplementary angles
then
x+y=180--------> x=180-y-----> x=180-33-----> x=147°

the answer is
x=147°
y=33°

7 0

1 year ago