Consecutive integers: numbers following in a particular pattern
You can make an equation:
x + x + 1 = -185
Now simplify
2x = -186, x = -93
Solution: the first integer is -93

7 0

3 years ago

Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Statement Reason 1. m∠H = 30°, m∠J = 50°,

motikmotik

Answer:

$2. m\angle H+m\angle J +m\angle K =180^{\circ}$

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

$S_{i}=180^{\circ}(n-2)\rightarrow 180(3-2) \therefore S_{i}=180^{\circ}$

3) We can also say

$m\angle K=180^{\circ}-(m\angle H+m\angle J)\\m\angle K=180^{\circ}-\left ( 30^{\circ}+50^{\circ} \right )\\m\angle K=100^{\circ}$

Similarly to the other triangle:

$m\angle L=180^{\circ}-(m\angle N+m\angle P)\\m\angle L=180^{\circ}-\left ( 100^{\circ}+50^{\circ} \right )\\m\angle L=30^{\circ}$

4) Hence,

$2. m\angle H+m\angle J +m\angle K =180$

Reason: The sum of interior angles is equal to 180º.

8 0

4 years ago

a company has two offices with 50 employees each. The employees in each office report on their daily commute time the results ar

Mariulka [41]

Step-by-step explanation:

We want to compare the means, so find the difference and the corresponding standard deviation:

μ = μ₁ − μ₂

μ = 25 − 23

μ = 2

σ = √(σ₁²/n₁ + σ₂²/n)

σ = √(3.1²/50 + 3.2²/50)

σ = 0.63

Using a 95% confidence level, z = 1.96. So the interval is:

CI = 2 ± 1.96 × 0.63

CI = 2 ± 1.2

There is a 95% probability that the true difference in means is between 0.8 and 3.2. Since 0 is not in this interval, we can conclude that there is a significant difference between the commute times for the two populations.

5 0

3 years ago

I need someone to explain how to do the POTD (Problem Of Th Day)

Alina [70]

a) y= 12x +5

1 | 17

2| 29

3| 41

4| 53

5 |65

6 | 77

1) Gathering the data

Jade - chocolate cookies: $12 per package and $5 shipping

2) We can write a linear equation to get to know the cost of them:

C(p)= 12p +5 or y= 12x +5

3) Let's now fill in this table, with this table we can trace the graph for that linear function

Let's pick any values for p (packages):

p | C

1 | 17

2| 29

3| 41

4| 53

5 |65

6 | 77

3) Hence, the answers are:

a) y= 12x +5