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Leya [2.2K]
3 years ago
14

Which rule explains why these triangles aren't congruent? see picture below.

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

SSS

Step-by-step explanation:

Well, the picture says asks why the triangles are congruent but your question asks why they aren't congruent, so I will just assume that you made a typo, and you really meant: "Which rule explains why these triangles are congruent?"

Well, the triangles have two congruent sides, and they have a common shared side that are both congruent (due to reflexive property), so the triangle theorem SSS (Side-Side-Side) proves that the triangles are both congruent.

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The ratio of boys to girls in a class is 2:3. there are twelve boys in the class. how many girls are there
gogolik [260]
The answer is 18

Solution: 2:3 2x6=12
3x6=18
Hope this help
4 0
3 years ago
How to solve for a missing side length of a triangle (NOT a right triangle) when one side is 4m and another side is 3m, and the
Alenkasestr [34]

Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

4 0
3 years ago
In 2010, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephon
Zepler [3.9K]

<u>Answer</u>: No, we do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

Step-by-step explanation:

As per given , we have

H_0: \mu=9.4\\\\H_a:\mu\neq9.4, since H_0 is two-tailed so , the test is a two tail test.

Since population standard deviation is unknown, so we use t-test.

Critical value (two-tailed) for significance level of 0.01= t_{n-1,\alpha/2}=t_{49, 0.005}\pm2.609228

For n =50 , \overline{x}=8.6 and s= 4.8

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

t=\dfrac{8.6-9.4}{\dfrac{4.8}{\sqrt{50}}}\approx-1.18

Since test statistic value (-1.18) lies in critical interval (-2.609228, 2.609228), it means the null hypothesis is failed to reject.

We do not have sufficient evidence to conclude that the mean call duration, µ, is different from the 2010 mean of 9.4 minutes.

4 0
3 years ago
Question: How do you find pi?
Leokris [45]

Answer:

:Pi (π) is one of the most important numbers in mathematics. Roughly 3.14, it is a constant that we use it to calculate the circumference of a circle . It is an irrational number,pi is equal to c/d circumfrance /diameter that is 3.14





6 0
3 years ago
Water has a density of 1.0 g/cm3. What is the mass of 10.0 cm3 of water?
fgiga [73]
1.0g/cm3 means that the mass of one cm3 is 1.0g
The easiest method to use is the rule of three, and let x be the mass of 10.0 cm3 of water
1g -- > 1.0 cm3
x --> 10.0 cm3

x= (10*1)/1
x=10.0 g

So the mass of 10.0 cm3 of water is 10.0g

Hope this Helps! :)
8 0
3 years ago
Read 2 more answers
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