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3 years ago

Prove ABC~EDC ?

Mathematics

1 answer:

erastova [34]3 years ago

8 0

Answer:

AA similarity theorem

Step-by-step explanation:

we know that

<u>AA (Angle-Angle) Similarity</u> states that In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar

In this problem we have that

∠BCA=∠ECD ----> by vertical angles

∠BAC=∠DEC ---> because AB is parallel to ED (alternate interior angles)

therefore

Triangles ABC and EDC are similar by AA similarity theorem

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What is the square root of 5 divided by the square root of 15 and simplify and in fraction form

ozzi

Answer:

$\sqrt{\frac{1}{3} }$

$\frac{\sqrt{3} }{3}$

Step-by-step explanation:

The expression $\frac{\sqrt{5} }{\sqrt{15} }$ can be simplified by first writing the fraction under one single radical instead of two.

$\frac{\sqrt{5} }{\sqrt{15} } = \sqrt{\frac{5}{15} }$

5/15 simplifies because both share the same factor 5.

It becomes $\sqrt{\frac{5}{15} } = \sqrt{\frac{1}{3} }$

This can simplify further by breaking apart the radical.

$\sqrt{\frac{1}{3} } = \frac{\sqrt{1} }{\sqrt{3} } = \frac{1}{\sqrt{3} }$

A radical cannot be left in the denominator, so rationalize it by multiplying by √3 to numerator and denominator.

$\frac{1}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} } =\frac{\sqrt{3} }{3}$

4 0

2 years ago

The sum of two numbers is 3. The difference between five times the first number and four times the second number is 6. Find the

stellarik [79]

Answer:

1 and 2

2+1=3

2×5=10

1×4=4

10-4=6

4 0

3 years ago

The following data points represent the number of points scored by each player on the Wildcats basketball team last game. ______

scoundrel [369]

Answer:

Step-by-step explanation:

If you take the lowest half of the data (from the lower extreme to the median) and find the median of these numbers, that is called the lower quartile or quartile 1.
If you take the upper half of the data (from the upper extreme to the median) and find the median of these numbers, that is called the upper quartile or quartile 3.
The interquartile range is the difference between quartile 1 and quartile 3.

4, 5, 6, 8, 9, 10, 11, 13
Median=8.5
Q1=6.5
Q3=10.5
10.5-6.5=4

I also added my PowerPoint if you didn't get what I was saying.

Download pptx

7 0

2 years ago

Out of 160 workers surveyed at a company, 37 walk to work.

Sonja [21]

A. 37/100
b. 736. 3300/160 is 20.215
20.215x37 =
736. hope this helped

5 0

3 years ago

PLS HELP ME I SUCK AT MATH

Rainbow [258]

Divide the sides of the larger triangle by the corresponding side of the smaller one:

18/7.2 = 2.5

Figure A is 2.5 times the size of figure B

The scale factor is 2.5

5 0

3 years ago