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4 years ago

WILL GIVE BRAINLIST SOON AS I CAN... I DON'T UNDERSTAND THIS

Mathematics

2 answers:

enot [183]4 years ago

7 0

Answer:

z would equal 20°

Step-by-step explanation:

This means ACB and EFD are 2 similar triangles

They have the same shape but different size

In ACB because 3 corner of a traingle must = 180° so in this case, corner BAC would = 180 - 65 - 55 = 60°

As you can see, BC is 3 times as large as DF, this means triangle ACB is larger than triangle EFD 3 times, this would lead to corner BAC is larger than corner DEF 3 times.

Corner DEF would = corner BAC / 3

= 60° / 3

= 20°

SO z would equal 20°

Hope this helped :3

Karo-lina-s [1.5K]4 years ago

7 0

Answer:

z = 60°

Step-by-step explanation:

Since the triangles are similar the corresponding angles are congruent, thus

∠E = ∠A

The sum of the 3 angles in a triangle = 180°

Sum the 2 given angles in ΔABC and subtract from 180 for ∠A

65 + 55 + ∠A = 180

120 + ∠A = 180 ( subtract 120 from both sides )

∠A = 60°, hence

z = ∠A = 60°

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I need help with letters (D) and (E). My model equation from letter (C) is: P = -55/4 t+ 340.

IceJOKER [234]

Answer:

(a) The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope is m = -55/4

The slope means the rate of decreases of the owl population was 55/4

per year (P decreased by 55/4 each year)

(d) The owl population in 2022 will be 216

(e) At year 2038 will be no more owl in the park

Step-by-step explanation:

* Lets explain how to solve the problem

- The owl population in 2013 was measured to be 340

- In 2017 the owl population was measured again to be 285

- The owl population is P and the time is t where t measure the numbers

of years since 2013

(a) Let t represented by the x-coordinates of the order pairs and P

represented by the y-coordinates of the order pairs

∵ t is measured since 2013

∴ At 2013 ⇒ t = 0

∵ The population P in 2013 was 340

∴ The first order pair is (0 , 340)

∵ The time from 2013 to 2013 = 2017 - 2013 = 4 years

∴ At 2017 ⇒ t = 4

∵ The population at 2017 is 285

∴ The second order pair is (4 , 285)

* The two ordered pairs are (0 , 340) and (4 , 285)

(b) The slope of any lines whose endpoints are (x1 , y1) and (x2 , y2)

is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ (x1 , y1) is (0 , 340) and (x2 , y2) is (4 , 285)

∴ x1 = 0 , x2 = 4 and y1 = 340 , y2 = 285

∴ $m = \frac{285-340}{4-0}=\frac{-55}{4}$

* The slope is m = -55/4

∵ The slope is negative value

∴ The relation is decreasing

* The slope means the rate of decreases of the owl population was

55/4 per year (P decreased by 55/4 each year)

the value of y when x = 0

∵ The population is P and represented by y

∵ The time is t and represented by t

∴ P = mt + c , c is the initial amount of population

∵ m = -55/4

∵ The initial amount of the population is 340

∴ P = -55/4 t + 340

* The model equation is P = -55/4 t + 340

(d) Lets calculate the time from 2013 to 2022

∵ t = 2022 - 2013 = 9 years

∵ P = -55/4 t + 340

∴ P = -55/4 (9) + 340 = 216.25 ≅ 216

* The owl population in 2022 will be 216

(e) If the model is accurate , then the owl population be be zero after

t years

∵ P = -55/4 t + 340

∵ P = 0

∴ 0 = -55/4 t + 340

- Add 55/4 t to both sides

∴ 55/4 t = 340

- Multiply both sides by 4

∴ 55 t = 1360

- Divide both sides by 55

∴ t = 24.7 ≅ 25 years

- To find the year add 25 years to 2013

∵ 2013 + 25 = 2038

* At year 2038 will be no more owl in the park

8 0

3 years ago

Assume that the results of your class' statistics test are normally distributed. You know that you scored 1 standard deviation a

Gnom [1K]

Answer:

84%

Step-by-step explanation:

We have to remember that z-scores are values to find probabilities for any normal distribution using the standard normal distribution, a conversion of the normal distribution to find probabilities related to that distribution. One way to find the above z-scores is:

$\\ z = \frac{x - \mu}{\sigma}$

As a result, we can say that one standard deviation above the mean is equal to a z-score = 1, or that one standard deviation below the mean is equal to a z-score = -1, to take some examples.

The corresponding cumulative probability for a z-score = 1 (one standard deviation above the mean) can be obtained from the cumulative standard normal table, that is, the cumulative probabilities from z= -4 (four standard deviations below the mean) to the value corresponding to this z-score = 1.

Thus, for a z-score = 1, the cumulative standard normal table gives us a value of P(x<z=1) = 0.84134 or 84.134. In other words, below z = 1, there are 84.134% of cases below this value.

Applying this for the case in the question, the percentage of test scores below 69 (one standard deviation above the mean) is, thus, 84.134%, and rounding to the nearest whole number is simply 84%.

6 0

3 years ago

What is the equation of the line that passes through the point (-2,0) and has a slope of -2

Tcecarenko [31]

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept. We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

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

6 0

3 years ago

Read 2 more answers

So u all that help can see it better

KiRa [710]

#2 the pattern is by 5
#4 the pattern is by 7

6 0

3 years ago

Read 2 more answers

Help needed please!!!!!!!!

Alisiya [41]

I think the answer is B. Hope I helped

3 0

3 years ago

WILL GIVE BRAINLIST SOON AS I CAN... I DON'T UNDERSTAND THIS​

WILL GIVE BRAINLIST SOON AS I CAN... I DON'T UNDERSTAND THIS