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Thepotemich [5.8K]
2 years ago
5

Triangle abc is an isosceles right triangle. What is the measure of one base angle? 30ş 45ş 60ş 90ş.

Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0

Answer:

  45°

Step-by-step explanation:

The acute angles of a right triangle are complementary. The base angles of an isosceles triangle are congruent. If x is the measure of the base angles, this requires ...

  x = 90-x . . . . . the base angle is congruent to the other base angle

  2x = 90 . . . . . add x

  x = 90/2 = 45 . . . . divide by 2

The measure of a base angle of an isosceles right triangle is 45°.

__

It can be useful to remember this fact.

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The following week, clare earns $75 from delivering newspapers and deposits it in her account. What will her account balance be
dezoksy [38]

Answer: Whatever the original balance was + 75

Step-by-step explanation:

You never gave a concrete value of what the balance of her account was before the new deposit so it is impossible for me to tell you the exact answer, but just add $75 to whatever it was before and you will be correct!  If you tell me the original value I would be more than happy to help you further :)  Have a great rest of your day!

6 0
2 years ago
Nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. The table shows the unit prices (per cup) of pineapple at diff
notka56 [123]

Answer:

She could purchase from stores A, D and E.

Step-by-step explanation:

She needs 8 cups so I multiplied each price by 8;

Store A 0.49(8)=$3.92

Store B 0.51(8)=$4.08

Store C 0.55(8)=$4.40

Store D 0.48(8)=$3.84

Store E 0.45(8)=$3.60

8 0
3 years ago
Read 3 more answers
Suppose 3x+4y=52 and 5x+y= 30. What is the value of 8x-2y
grandymaker [24]

Answer:

12

Step-by-step explanation: If you made x, 4 and y, 5 then all equations would make sense if you change the letters to numbers.

IF

(3*4)+(4*10)=52

and

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then

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6 0
3 years ago
The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26
hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

<em>Let X = number of viewers for the American Idol television show</em>

So, X ~ N(\mu=26,\sigma^{2}=8^{2})

Now, the z score probability distribution is given by;

          Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 26 million

            \sigma = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X \leq 30)

    P(X < 37) = P( \frac{X-\mu}{\sigma} < \frac{37-26}{8} ) = P(Z < 1.38) = 0.91621

    P(X \leq 30) = P( \frac{X-\mu}{\sigma} \leq \frac{30-26}{8} ) = P(Z \leq 0.50) = 0.69146

<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

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3 years ago
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See the answer below.

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