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irga5000 [103]
3 years ago
13

Connected to the question before this

Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer:

(4)Angle A is 63°

Step-by-step explanation:

To find angle A here is what you have to do

(1) triangle A is an Isosceles triangle which has two of its angles being equal.

(2) To find A we hv to look for the interior angles of the triangle. If u look carefully there is this angle outside the triangle .we can use a property called "Angles on a straight line

(3) " Angles on a straight line sum up to 180°" When u do that ur equation will look like this

126+(x)=180°. u may be wondering hw did we get the x?? well i named the angle we dont know with any valuable like T,F etc .when u group like terms ur equation should look like this (x)=180°-126°

if u subtract ur answer should be x=63°

(B) if u look closely u will see there are two triangles. The one to the far right is an Isosceles triangle why because there is this double stroke indicating it is an Isosceles triangle. Remember an Isosceles triangle has its bases being equal. so the the triangle has two angles of 30°. so If we want to find B we first have to find the interior angles of the Isosceles triangle . so our epuarion will be like this 30°+30°+(X)=180°

U group like terms so it will look like this x=180°-60° so,

x= 120°

So now T=120°

Now to find B

we write the equation like this T+(W)=180°

we put the value of T into the Equation w=180°-120 the answer is 60°

So to find B we find the interior angles of the triangle and the interior angles of the Isosceles triangle sum up to 180. so it will look like this B+90+60=180

Nb they should be in Degrees

finally u group like terms. ur equation should look like this B=180-150

ur answer should be B=30°

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Step-by-step explanation:

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a nationwide study of american homeowners revealed that​ 65% own at least one lawn mower. a lawn equipment​ manufacturer, locate
svetoff [14.1K]

Answer:

z=\frac{0.6841 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.5938  

We have a right tailed test then the p value would be:  

p_v =P(z>1.5938)=0.0555  

Step-by-step explanation:

Information provided

n=497 represent the random sample of homes selected

X=340 represent the number of homes with one or more lawn

\hat p=\frac{340}{497}=0.6841 estimated proportion of homes with one or more lawn

p_o=0.65 is the value that we want to test

z would represent the statistic

p_v represent the p value (variable of interest)  

System of hypothesis

We want to check if proportion of homeowners owning lawn mowers in charlotte is higher than​ 65%m so then the correct hypothesis are .:  

Null hypothesis:p\leq 0.65  

Alternative hypothesis:p > 0.65  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.6841 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.5938  

We have a right tailed test then the p value would be:  

p_v =P(z>1.5938)=0.0555  

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2 years ago
Point (x, y) lies on the perpendicular bisector of . What is the value of x?
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Answer:5

Step-by-step explanation:

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