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IRISSAK [1]
3 years ago
11

△JKL∼△STU Which statements are true? more than one are right (ps the line means similar to)

Mathematics
2 answers:
drek231 [11]3 years ago
7 0
The correct answers are 

m<J = m<S
<K = <T
KL/TC = JK/ST
arsen [322]3 years ago
4 0

Given:  △JKL∼△STU

When two triangles are similar , then their corresponding sides are proportional and Corresponding angles of one triangle is equal to corresponding angles of another Triangle.

The two Triangles can be similar by following Similarity axiom

1. AA

2. S A S

3. S S S

The Options are

→∠K≅∠T(  True) Corresponding angles are equal.

→JK≅ST (False)

→KL/TU=JK/ST (True) Because sides are proportional.

→JL=SU  (False)

→m∠J=m∠S (True)  Corresponding angles are equal.



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2 years ago
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando
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Answer:

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

Step-by-step explanation:

m=\frac{S_{xy}}{S_{xx}}  

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833  

And the slope would be:  

m=\frac{2506.833}{604.833}=4.1447  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833  

\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833  

And we can find the intercept using this:  

b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644  

So the line would be given by:  

y=4.1447 x +44.644  

5 0
3 years ago
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