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3 years ago

Can someone help me understand number 4? please

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

9514 1404 393

Explanation:

You are given a side and its opposite angle as being congruent to their counterparts in the other triangle. To prove triangle congruence, you need at least 2 sides and an angle, or at least 2 angles and a side, or 3 sides. That is, available congruence postulates are ...

SSS SAS ASA AAS

Here, we observe that congruence of another angle can be claimed by considering the vertical angles at M. So, our proof can be written as ...

1. ∠LOM≅∠NPM, LM≅NM . . . . given

2. ∠LMO≅∠NMP . . . . vertical angles are congruent

3. ΔLOM≅ΔNPM . . . . AAS congruence postulate

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5y^2-6y-11-6y^2+2y+5

shusha [124]

Answer:

-y² - 4y - 6

Step-by-step explanation:

Step 1: Write expression

5y² - 6y - 11 - 6y² + 2y + 5

Step 2: Combine like terms (y²)

-y² - 6y - 11 + 2y + 5

Step 3: Combine like terms (y)

-y² - 4y - 11 + 5

Step 4: Combine like terms (constants)

-y² - 4y - 6

6 0

3 years ago

What is the value of k if k +28=56 ?

USPshnik [31]

k = 29 i think tho

5k - 3 + 9 + k = 180

6k + 6 = 180

6k = 174

k = 29

6 0

3 years ago

Read 2 more answers

Laura went to a golf shop that has a golf simulator. The simulator estimates the distance that each ball she hits would have gon

Alex_Xolod [135]

Answer:

I can only help you with Part C and E as these two are the ones I am able to answer.

Part C: slopes are not the same

Part E: 195 yards

Step-by-step explanation:

Part C:

Part E: The slope of the line follows a linear pattern; therefore, find the equation for the line by calculating the slope and plugging in a point.

Slope:

y2-y1/x2-x1; (9, 105) (8,115)

(115-105)/(8-9) = -10; the slope is -10, now solve for the equation of the line.

y=mx+b; plug in the point (9,105)

105 = -10(9) +b

105 = -90 +b, add 90 to both sides

195 = b; rewrite the equation;

y=-10x+195; x stands for the iron, plug in 0 for x;

y=-10(0)+195

y=195 yards.

7 0

3 years ago

Identify 2 objects you could find in a grocery store that holds more than 100 milliliters

devlian [24]

Milk carton
Perfume bottle

5 0

3 years ago

Read 2 more answers

Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th

butalik [34]

Answer:

a). The mean = 1000

The variance = 999,000

The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

= 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean = $\mu = \frac{1}{p}$

= $\mu = \frac{1}{0.001}$

= 1000

Variance = $\sigma ^2=\frac{1-p}{p^2}$

= $\sigma ^2=\frac{1-0.001}{0.001^2}$

= 999,000

The standard deviation is determined by the root of the variance.

$\sigma = \sqrt{\sigma^2}$

= $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

= $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0

3 years ago