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tangare [24]
3 years ago
12

True or false? All isosceles triangles with a 40° angle are similar.

Mathematics
1 answer:
aniked [119]3 years ago
3 0

Answer:

False

Step-by-step explanation:

This is not necessarily true because there are 2 types of these triangles, a 40-70-70 triangle or a 40-40-100 triangle. Since their angle measures are different, they are not similar.

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How many triangles exist with the given angle measures? 40 25 115
Valentin [98]
B i am pretty sure
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CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and
nignag [31]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

6 0
3 years ago
PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl
Julli [10]

Given:

The given expression is

-4(x+2)-2x+4

To find:

The two other equivalent expressions.

Solution:

We have,

-4(x+2)-2x+4

Using distributive property, we get

=-4(x)-4(2)-2x+4

=-4x-8-2x+4

So, one equivalent expression is -4x-8-2x+4.

On further simplification, we get

=(-4x-2x)+(-8+4)

=6x-4

Therefore, the second and fully simplified equivalent expression is 6x-4.

5 0
3 years ago
5x + 3y, when x = 4, and y=-3​
Pepsi [2]

Answer:

5x+3y, when x=4 and y= -3

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20+ (-9)=

11

Step-by-step explanation:

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