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3 years ago

Help me with 5 and 6 please I really don’t get it

Mathematics

1 answer:

alekssr [168]3 years ago

6 0

Answer:

5 is congruent, 6 is not congruent

Step-by-step explanation:

In 5, both shapes have the same side lengths. This means their areas are the same, making them congruent.

In 6, the shapes do not have the same side lengths. This means their areas are not the same, making them not congruent.

You might be interested in

Nathan needs some paint for his bedroom. He finds two cans of white paint, four cans of green paint and three cans of pink paint

lilavasa [31]

Answer:

3/9 or 33.33%

Step-by-step explanation:

there are 9 total cans and 3 pink cans. So, that'd be 3/9 or 33.33%

hope this helps!

8 0

3 years ago

A trucking firm suspects that the mean lifetime of a certain tire it uses is more than 30,000 miles. To check the claim, the fir

grandymaker [24]

Answer:

We conclude that the lifetime of tires is less than 30,000 miles.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30,000 miles

Sample mean, $\bar{x}$ = 29,400 miles

Sample size, n = 54

Alpha, α = 0.05

Population standard deviation, σ =1200 miles

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ miles}\\H_A: \mu < 30000\text{ miles}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{29400 - 30000}{\frac{1200}{\sqrt{54}} } = -3.6742$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the lifetime of tires is less than 30,000 miles.

4 0

3 years ago

one positive number is 28 less than another number. if the reciprocal of the smaller number is added to four times the reciproca

marishachu [46]

Let x represent the larger number.
1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
6x +24(x -28) = x(x -28)
In standard form, this is
x^2 -58x +672 = 0
(x -42)(x -16) = 0

The two numbers are (-12 and 16) or (14 and 42).

7 0

4 years ago

Look at the graph shown below:

Natasha2012 [34]

B: y=3x-1 because the slope is 3 and passes thru y axis at -1

5 0

3 years ago

Help!!!100 students who are in 9th or 10th grade were asked if they participated in at least one extracurricular activity (sport

BlackZzzverrR [31]

There are 2 variables in this problem. One variable is the class number and other variable is the participation in extracurricular activities. Each variable has further two categories. There are two classes: Class 9 and 10. And students either participate or do not participate in extracurricular activities, which makes 2 categories.

The best approach to solve this question is to build a table and start entering the given information in it. When the given data has been entered fill the rest on basis of the data you have.

18 students from grade 10 participate in at least one Extracurricular activities. This means the rest students i.e. 22 students from grade 10 do not participate in Extracurricular activities.

32 students from grade 9 participate in at least one Extracurricular activities. This means total students who participate in at least one Extracurricular activities are 18 + 32 = 50 students.

The rest 50 students do not participate in at least one Extracurricular activities. From these 22 are from class 10. So the rest i.e. 28 are from class 9.

Based on this data we can fill the table as shown in image below.

8 0

3 years ago