Ask question

Ask question

All categories

Anuta_ua [19.1K]

3 years ago

11

Are all isosceles triangles similar? Are all right triangle similar? Are all isosceles right triangles similar? Explain.

1 answer:

Alex17521 [72]3 years ago

5 0

9514 1404 393

Answer:

a) no

b) no

c) yes

Step-by-step explanation:

a) Isosceles triangles can have a third angle (the one that is not part of the pair of equal angles) with any value in the range 0 < α < 180°. Triangles with different angle values will not be similar.

Not all isosceles triangles are similar.

__

b) The smallest acute angle of a right triangle can have any measure in the range 0 < α ≤ 45°. Right triangles having different smallest angles will not be similar. The attachment shows dissimilar right triangles.

Not all right triangles are similar.

__

c) If the smallest acute angle of a right triangle is 45°, then both acute angles are 45°, and the right triangle is an isosceles triangle. Each such triangle will be similar to every such triangle.

All isosceles right triangles are similar.

You might be interested in

, list the first five terms of each sequence, and identify them as arithmetic or geometric.

Serhud [2]

Answer:

The first 5 terms are -6,-25,-44,-63 and -82

The sequence is arithmetic

Step-by-step explanation:

Given that A(n + 1) = A(n) − 19 for n ≥ 1 and A(1) = −6

A(1) = -6

A(2) = A(1) − 19 = -6 - 19 = -25

A(3) = A(2) − 19 = -25 - 19 = -44

A(4) = A(3) − 19 = -44 - 19 = -63

A(5) = A(4) − 19 = -63 - 19 = -82

So the first 5 terms are -6,-25,-44,-63 and -82

If they are in arithmetic the common difference will be same, if geometric common ratio will be same.

Let us check common difference,

-25-(-6) = -19

-44-(-25) = -19

-63-(-44) = -19

-82-(-63) = -19

So common difference is same, so the sequence is arithmetic.

3 0

4 years ago

A third grade teacher has 20 students in her class. Fifteen of the students are girls and five are boys. What is the ratio of gi

svetoff [14.1K]

Answer:

15 : 5 = 3 : 1

Step-by-step explanation:

8 0

3 years ago

4$ is what percent of 50$ ?

djyliett [7]

8 percent. The answer to 4$is what percent of 50$ is 8%

5 0

3 years ago

Read 2 more answers

In a study of cell phone use and brain hemispheric dominance, an Internet survey was e-mailed to 2455 subjects randomly select

Genrish500 [490]

Answer: 0.355,0.405)

Step-by-step explanation:

Given : Significance level : $\alpha=1-0.99=0.01$

Number of subjects (n) = 2455

Number of surveys returned = 931

The probability of surveys get return will be :-

$p=\dfrac{931}{2455}=0.379226069246\approx0.38$

The confidence interval for proportion is given by :-

$p\pm z_{\alpha/2}\times\sqrt{\dfrac{p(1-p)}{n}}$

$0.38\pm z_{0.005}\times\sqrt{\dfrac{0.38(1-0.38)}{2455}}\\\\=0.38\pm(2.576)0.0098\\\approx0.38\pm0.025=(0.355,0.405)$

Hence, the 99% confidence interval for the proportion of returned surveys : (0.355,0.405)

5 0

3 years ago

D is the same as 359 more than the product of 344 and d<br>write the sentence as an equation

nignag [31]

Answer:

d = 359 + 344d

Step-by-step explanation:

d = 359 + 344d

7 0

3 years ago