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fomenos
3 years ago
8

Use a two-column proof to prove the Triangle Proportionality Theorem:

Mathematics
1 answer:
photoshop1234 [79]3 years ago
4 0

Answer:

Step-by-step explanation:

From the picture attached,

                 Statements                                        Reasons

1). In ΔABC, DE intersects AB and AC  1). Given

2). DE║BC                                              2). Given

3). ∠ADE ≅ ABC                                    3). Corresponding angles postulate

4). ∠AED ≅ ∠ACB                                 4). Corresponding angles postulate

5). ΔADE ~ ΔABC                                  5). AA similarity postulate

6). \frac{AD}{AB}=\frac{AE}{AC}                                           6). Definition of two similar triangles

Hence proved.  

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What is the slope of the line that passes through the pair of points (-5/3, -1) and (-2, 9/2)?
vovangra [49]
Slope = (9/2 + 1) / (-2 + 5/3)
     
      11/2
= ----------
      -1/3
= 11/2 (-3/1)
= -33/2
or
= -16.5
7 0
3 years ago
A random sample of 18 adults, chosen from the 1500 adults in the town, took a survey asking their opinion on a recent property t
Tamiku [17]

Answer:

C) I & III

Step-by-step explanation:

Given:

Sample size, n = 18

Sample proportion = 25% = 0.25

Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.

For the normal condition to be satisfied, np should be greater than 10, ie np > 10.

In this case, np = 18 * 0.25 = 4.5

Since np is less than 10, the normal condition was not satisfied.

For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.

Here, the sample size is 18 and the population is 1500. Therefore,

\frac{18}{1500} * 100 = 1.2

Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.

The correct option is C, because only I & III were satisfied.

4 0
3 years ago
Need help finding the parallel and perpendicular slope
Rudik [331]

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4)   & (x₂ ,y₂) = (17, -20)

Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = \frac{-1}{m}

Perpendicular slope = \frac{-1}{8}

8 0
3 years ago
I need your help broskis
Ilia_Sergeevich [38]

a very fast way to do it:

Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.

Therefore, the answer is \boxed{4.4 \text{ x }10^9}

8 0
3 years ago
Read 2 more answers
What is 3/18 divided by 7/21... help plz
saw5 [17]
3/18 divided 7/21 =3/18 multiply by 21/7 (we have to flip the second fraction and multiply by 3/18)= 63/126=1/2
So the answer is 1/2
8 0
3 years ago
Read 2 more answers
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