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Marina CMI [18]
3 years ago
5

One leg of a right angle has a length of 3m. The other sides have lengths

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0
I don’t understand what the question is
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<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2
MrMuchimi

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1)  + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

<em>angle 1 + 2*angle 1 + 6 = 180</em>

<em>3*angle 1 = 174</em>

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

<em>angle 2 + 58 = 180</em>

angle 2  = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

7 0
3 years ago
.A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and
Leni [432]

Answer:

a) Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

b) t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

df = n-1 = 80-1=79

The p value for this case taking in count the alternative hypothesis would be:

p_v =P(t_{79}>2.236)=0.0141  

Step-by-step explanation:

Information given

\bar X=130 represent the sample mean for the amount spent each shopper

s=40 represent the sample standard deviation

n=80 sample size  

\mu_o =120 represent the value to verify

t would represent the statistic    

p_v represent the p value f

Part a

We want to verify if the shoppers participating in the loyalty program spent more on average than typical shoppers, the system of hypothesis would be:  

Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236  

The degrees of freedom are given by:

df = n-1 = 80-1=79

The p value for this case taking in count the alternative hypothesis would be:

p_v =P(t_{79}>2.236)=0.0141  

5 0
3 years ago
PLEASE HELP I'LL GIVE YOU POINT PLEASE GEOMETRY WORK
Monica [59]

Answer:

I:  82.1

Step-by-step explanation:

4 0
3 years ago
Please I don’t know how to do this
Andru [333]

Answer:

somewhere on the y axis so ig -4,-2?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
I need help please I’m confused
Ahat [919]

Answer:

The answer is 50 degrees

Step-by-step explanation:

The small box at the corner of the triangle indicates that the triangle is exactly 90 degrees, or a right angle. In order to solve the expression, you would need to do 40 + x = 90, which would be x = 50

8 0
3 years ago
Read 2 more answers
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