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Komok [63]
3 years ago
13

In ∆ABC, Angle A is 4 times angle B. and angle C is 5 times that of angle B Find the measure of each angle.​

Mathematics
1 answer:
Liula [17]3 years ago
3 0

Step-by-step explanation:

Let angle b be x

Let angle a be 4x

Let angle c be 5x

Then,

      4x+x+5x=180(sum of angle of a triangle is 180)

   or,10x=180

   or,x=180/10

      x=18

angle a=4x=4*18=72

angle b=18

angle c=5x=5*18=90

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zhannawk [14.2K]

The Answer Is: "5x + 16"

5 0
3 years ago
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Sales An apparel shop sells skirts for $45 and blouses for $35. Its entire stock is worth $51,750. But sales are slow and only h
inysia [295]

Answer:

260 skirts and 270 blouses are left in the store after the sale.

Step-by-step explanation:

Let x be the number of skirts and y be the number of blouses.

An apparel shop sells skirts for $45 and blouses for $35

Cost of entire stock = $51,750

Thus, we can write the equation,

45x + 35y = 51750

Half the skirts and two-thirds of the blouses are sold for a total of $30,600.

Thus, we can write the equation,

45(\dfrac{x}{2}) + 35(\dfrac{2y}{3}) = 30600\\\\135x + 140y = 183600

Solving the two equations by elimination method, we have,

135x + 140y-(135x + 105y) = 183600 - 155250\\35y = 28350\\\\y = \dfrac{28350}{35}  =810\\\\x = \dfrac{51750-35(810)}{45} = 520

Thus, there were 520 skirts and 810 blouses in the store.

Skirt left =

520-\dfrac{520}{2} = 260

Blouses left =

810 - \dfrac{2}{3}\times 810 = 270

Thus, 260 skirts and 270 blouses are left in the store after the sale.

5 0
3 years ago
The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a
Greeley [361]
<u></u><u>The correct answer is 47.5%, or 0.475.</u>

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100.  This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean.  However, included in the 95% is data less than the mean and greater than the mean.  Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.
8 0
3 years ago
Read 2 more answers
A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was
Mademuasel [1]

The complete question is;

A surgeon performed two types of surgeries to treat large kidney stones and small kidney stones. Treatment A on large stones was successful 73% of the time, but on small stones it was successful 93% of the time. Treatment B was successful on large stones 69% of the time, but on small stones it was successful 87% of the time. The overall report stated treatment B was more successful. What may make this claim possible?

Group of answer choices;

Sampling error

Cause-and-effect relationship

Convenience error

Confounding

Simpson's Paradox

Answer:

Correct Option is Simpson's Paradox

Step-by-step explanation:

Looking at all the options, The correct option is Simpson's Paradox because the concept of the other options don't depict the paradox displayed in the question.

Now, Simpson's paradox, is simply a phenomenon in probability and statistics, whereby a trend appears in several different groups of data but will disappear or reverse when these groups are combined. This result is often encountered in many areas of statistics and is very problematic especially when frequency data is given causal interpretations. The paradox can be resolved when causal relations are appropriately addressed in the statistical modeling.

Now, in this question, it concluded that treatment B was more successful than treatment A without considering the conditions under which both treatments were carried out neither did it consider the severity of cases of patients involved in the treatment.

4 0
3 years ago
Salma wants to buy a new house but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%
DochEvi [55]

Answer:

Total Interest at the end of two years will be $320. She will owe a total repayment amount of $4000 plus $320 for a total of $4320.

Step-by-step explanation:

Hope this helps.

8 0
3 years ago
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