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Nutka1998 [239]

3 years ago

11

Given the information in the diagram, which theorem best justifies why lines j and k must be parallel?

2 answers:

snow_lady [41]3 years ago

3 0

The converse alternate exterior angles theorem justifies why lines j and k must be parallel.

The converse alternate exterior angles theorem states that if two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

prisoha [69]3 years ago

3 0

Answer:

D

Step-by-step explanation:

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a runner is 7/8 mile from the finsh line. she can travel 3/8 mile per minute,how long will it take her to finsh the race

Simora [160]

I hope this helps you

if 3/8 miles per a hour

7/8 miles ? hour

?.3/8=7/8.1

?=7/3

?=2,3333... hour

4 0

4 years ago

Your weekly base salary is $150. You earn $20 for each phone you taht you sell. The company policy is that as a part-time employ

Eduardwww [97]

Answer:

You can sell at least 40 phones each week.

Step-by-step explanation:

Given that:

Weekly base salary = $150

Earning on each phone = $20

Maximum amount that can be earned each week = $950

Let,

m be the number of phones.

20m + 150 ≤ 950

20m ≤ 950 - 150

20m ≤ 800

Dividing both sides by 20

$\frac{20m}{20}\leq \frac{800}{20}$

m ≤ 40

Hence,

You can sell at least 40 phones each week.

6 0

3 years ago

A random variable x is uniformly distributed over the interval (-4, 6). Find the standard deviation of x. (Note: Uniform distrib

Pachacha [2.7K]

Answer:

The standard deviation of x is 2.8867

Step-by-step explanation:

The standard deviation of variable x that follows a uniform distribution is calculated as:

$s = \sqrt{\frac{(b-a)^{2} }{12} }$

Where (a,b) is the interval where x is defined.

So, replacing a by -4 and b by 6, the standard deviation is:

$s = \sqrt{\frac{(6-(-4))^{2} }{12} }$

$s = \sqrt{\frac{(10)^{2} }{12} }$

$s=\sqrt{\frac{100}{12} }$

$s=\sqrt{8.3333}$

$s=2.8867$

3 0

4 years ago

Order these from least to greatest<br> 3.975, 3.95, 3.5

iogann1982 [59]

3.5, 3.95, 3.975

Ordered from least to greatest.

8 0

3 years ago

Person A can make a cupcake in 5 minutes, Person B can make a cupcake in 9 minutes. In total they made 168 cupcakes. How many cu

Stolb23 [73]

Answer:

Person A made 108 cupcakes and person B made 60 cupcakes.

Step-by-step explanation:

Person A makes 1 cupcake in 5 minutes.

Say in x minutes A makes : $\frac{x}{5}$ cupcakes

Person B makes 1 cupcake in 9 minutes.

Say in x minutes B makes : $\frac{x}{9}$ cupcakes

Total cupcakes prepared by A and B in x minutes = 168

$\frac{x}{5}+\frac{x}{9}=168$

$\frac{14x}{45}=168$

$x=\frac{168\times 45}{14}=540$

So, cupcakes made by A = $\frac{540}{5}=108$

Cupcakes made by B = $\frac{540}{9}=60$

Person A made 108 cupcakes and person B made 60 cupcakes.

5 0

4 years ago