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4 years ago

Triangle ABC is similar to Triangle QRS.

Mathematics

2 answers:

Yuki888 [10]4 years ago

7 0

For this case, we have that by definition, similar triangles are those that have the same shape but do not necessarily have the same size. When two triangles are similar, the corresponding angles are congruent and their corresponding sides are proportional.

That said, the angle S measures 102 degrees.

So, we know that the sum of the internal angles of a triangle is 180:

$36 + 102 + R = 180\\R = 180-102-39\\R = 39$

Thus, angle B is 39 degrees.

Answer:

Option A

lutik1710 [3]4 years ago

3 0

Answer:

102

Step-by-step explanation:

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Lim (1 + 1/x)^(3x) as x->infinity

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3 years ago

When the event is 1/9, the complement of the event is

mamaluj [8]

Answer:

$\frac{8}{9}$

Step-by-step explanation:

Complement of the event

$= 1 - \frac{1}{9} \\ = \frac{9 - 1}{9} \\ = \frac{8}{9} \\$

8 0

3 years ago

A study was conducted to investigate whether a new drug could significantly reduce pan in people with arthritis. From a group of

Alinara [238K]

Answer:

d. Yes. All conditions for inference have been met.

Step-by-step explanation:

A study was conducted to investigate the effectiveness of a new drug whether it could significantly reduce pan in people with arthritis.

From a group of 500 people with arthritis 250 were randomly assigned to receive the drug (group 1) and the remaining people were assigned a placebo (group 2).

It is given that the people in the study were selected randomly.

The pooled proportion is given by

Pe = no. of people who reported pain relief in both groups/total number of people

Pe = (225 + 150)/500

Pe = 375/500

Pe = 0.75

Now let us check the condition np ≥ 10

250*0.75

187.5 ≥ 10

Satisfied

Now let us check the condition n(1 - p) ≥ 10

250(1 - 0.75)

250*0.25

62.5 > 10

Satisfied

Therefore, all conditions for inference have been met option d is the correct option.

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3 years ago

Simplify this: log√24+ log6

Kitty [74]

simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Step-by-step explanation:

We need to simplify: $log\sqrt{24}+log6$

Solving:

Applying the rule:

log a + log b = log(ab)

$log\sqrt{24}+log6\\=log(6\sqrt{24})\\\sqrt{24} = \sqrt{2*2*2*3} =\sqrt{2^2*6} =\sqrt{2^2} \sqrt{6}=2\sqrt{6}\\ Putting\,\,value:\\=log(6*2\sqrt{6})\\=log(12\sqrt{6})$

So, simplifying $log\sqrt{24}+log6$ we get $log(12\sqrt{6})$

Keywords: Simplifying Logarithms

Learn more about Simplifying Logarithms at:

#learnwithBrainly

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4 years ago

Passersby have taken 2 pieces of strawberry cake and 4 pieces of coconut cake from a sample tray. Based on past data, of the nex

romanna [79]

Answer:

3 pieces of strawberry cake

Step-by-step explanation:

Given data shows they took six pieces and then 9 more.

2/6 or 1/3 were strawberry cake.

1/3 of 9 = 3 pieces of strawberry cake

8 0

3 years ago

Read 2 more answers