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3 years ago

Is a triangle with two congruent sides always have 45 45 and 90 degrees?

2 answers:

8 0

No. Two angles will have to be the same and the third angle will just be 180° minus twice the smaller angles.

So if we let the equal angles equal a, and the large angle equal be we have:

2a+b=180

So there are infinitely many values that a and b can have.

a=(180-b)/2, so the smaller equal angles have the range (0,90)

b=180-2a, so the larger has a range of (0,180)

barxatty [35]3 years ago

7 0

No.
Taat triangle is right-angled ( one angle = 90 degrees)
There are many triangles with congruent sides where 2 angles are equal and the other is 180 - sum of these 2, for example

30 30 120
50 50 80
40 40 100 etc...

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2 years ago

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T

Oksanka [162]

Answer:

The null and alternative hypotheses are:

$H_{0}:\mu=75$

$H_{a} : \mu>75$

Under the null hypothesis, the test statistic is:

$t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }$

Where:

$\bar{x} =83$ is the sample mean

$s=9.8206$ is the sample standard deviation

$n=10$ is the sample size

$\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }$

$=2.58$

Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:

$t_{critical} =2.821$

Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.

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2 years ago

Over the last three evenings Lucy received a total of 122 phone calls at the call center. The first evening she received 10 fewe

Zanzabum

Answer:

<em>SOLUTION: Over the last three evenings, Heather received a total of 109 phone calls at the call center. The third evening, she received 4 times as many calls as the second evening</em>

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2 years ago

1.) Use a property to write an equivalent expression for 12*(100-5). Which property did you use?

Jlenok [28]

1. 12*100 - 12*5

You would use the distributive property to get this equation (it is equivalent to the original one)

2. Um... There's no actual story for this problem; sorry I can't solve this problem

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago