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Svetradugi [14.3K]
3 years ago
10

Are congruent triangles also similar?

Mathematics
2 answers:
jonny [76]3 years ago
7 0

Answer: yes they are

Step-by-step explanation:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.

hoa [83]3 years ago
3 0

Answer:

Yes

Step-by-step explanation:

While congruent triangles are similar, similar triangles may not be congruent.

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Answer:

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3 years ago
Boop I totally have another Math question for you smart people :>
ella [17]

Answer: You will need to know that the volume of a cone can be calculated using the formula V = 1/3*Pi*r^2*h, where V is the volume, r is the radius and h is the height. Next substitute the radius and volume into the formula. After this divide the volume by 1/3, r^2 and Pi to give the height of the cone.

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3 years ago
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The physical plant at the main campus of a large state university receives daily requests to replace fluorescent light bulbs. Th
ankoles [38]

We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.

First of all, we will find z-score corresponding to 38 and 56.

z=\frac{x-\mu}{\sigma}

z=\frac{38-38}{6}=\frac{0}{6}=0

Now we will find z-score corresponding to 56.

z=\frac{56-38}{6}=\frac{18}{6}=3

We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is -3\sigma\text{ to }3\sigma.

We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.

We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.

\frac{99.7\%}{2}=49.85\%

Therefore, approximately 49.85\% of lightbulb replacement requests numbering between 38 and 56.

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4 years ago
Sigma Notation and the nth Term
ladessa [460]

Answer: F

Step-by-step explanation:

1+2+...+n = n*(n+1)/2 for all natural numbers n.

Left-hand-side = (5+1)+(5+2)+...+(5+10)=5*10+10*(10+1)/2=50+55=105

Right-hand-side = (4)+(4+1)+...+(4+9)=4*10+9*(9+1)/2=40+45=85

105≠85

The equation is false

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3 years ago
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pickupchik [31]
Nysnyrmyenyrnysjyejyenyejyensgg stjjeymur have a. Goood day lol
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