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nalin [4]
3 years ago
9

The sides lenghths of a triangle are 9, 12, and 18 is this a right triangle?​

Mathematics
1 answer:
arlik [135]3 years ago
7 0

Answer:

By virtue of the Pythagorean Theorem, in a right triangle the sum of the squares of the smaller two sides equals the square of the largest side. Only 9, 12, and 15 fit this rule.

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If m∠2 = 41°, m∠5 = 94°, and m∠10 = 109°, find each measure.
Orlov [11]

Answer:

Step-by-step explanation:

It's given in this question,

m∠2 = 41°, m∠5 = 94° and m∠10 = 109°

Since, ∠2 ≅ ∠9 [Alternate interior angles]

m∠2 = m∠9 = 41°

m∠8 + m∠9 + m∠10 = 180° [Sum of angles at a point of a line]

m∠8 + 41 + 109 = 180

m∠8 = 180 - 150

m∠8 = 30°

Since, m∠2 + m∠7 + m∠8 = 180° [Sum of interior angles of a triangle]

41 + m∠7 + 30 = 180

m∠7 = 180 - 71

m∠7 = 109°

m∠6 + m∠7 = 180° [linear pair of angles]

m∠6 + 109 = 180

m∠6 = 180 - 109

        = 71°

Since m∠5 + m∠4 = 180° [linear pair of angles]

m∠4 + 94 = 180

m∠4 = 180 - 94

m∠4 = 86°

Since, m∠4 + m∠3 + m∠9 = 180° [Sum of interior angles of a triangle]

86 + m∠3 + 41 = 180

m∠3 = 180 - 127

m∠3 = 53°

m∠1 + m∠2 + m∠3 = 180° [Angles on a point of a line]

m∠1 + 41 + 53 = 180

m∠1 = 180 - 94

m∠1 = 86°

8 0
3 years ago
Lynn uses 3 grams of tea leaves to make 18 fluid ounces of tea . Last week she made 216 fluid onces of tea . How many grams of t
Helga [31]
216/18 is 12 so you would multiply 3 and 12 to get 36 grams of tea leaves
4 0
3 years ago
In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

p_1=X_1/n_1=1642/4276=0.384

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

p_2=X_2/n_2=1415/3908=0.3621

The difference between proportions is (p1-p2)=0.0219.

p_d=p_1-p_2=0.384-0.3621=0.0219

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05

z=2.05

4 0
3 years ago
Their were 45 percent of boys in the class.What was the percent of girls in the class?
White raven [17]
55 because it's out 100
8 0
3 years ago
Read 2 more answers
identify a pattern in the given list of numbers. then use this pattern to find the next number.​ 1,5,1,10,1,20,1
saw5 [17]
40 the answer is 40. It’s very easy
5 0
3 years ago
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