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3 years ago

True or False

Mathematics

1 answer:

PtichkaEL [24]3 years ago

8 0

This is true
Perpendicular lines = circumscribe
angle bisect = incircle
altitude = orthocenter
median = centriod

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1. Solve the system of equations 3r – 4s = 0 and 2r + 5s = 23.

GaryK [48]

4s = 3r
s = 3/4*r 
plug this into the second eqution and solve for the other variable: 
2r +5(3/4)r = 23 
23/4*r = 23 
r = 4 
plug this r into the above equation we solved: 
s = 3/4*r 
s = 3/4*4 
s = 3 
system is: 
{r=4, s=3}

8 0

3 years ago

Read 2 more answers

What transformation were applied to ABC to obtain A’B’C?

Cloud [144]

Answer:

A = (3,-2)

reflect along the y -axis ; set x=-x

(-3,-2)

reflect along the x-axis ; set y=-y

A' = (-3,2)

Same for B,C and D

ABCD is reflected across the y-axis and then the x-axis.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Amanda brought a 6-cup of bag of shredded cheese for $6.89. She used 2.25 cups to make lasagna and 1.25 cups to make pizza. How

valina [46]

1 piece of cheese is left because 2.25-1.25 equals 1

5 0

3 years ago

there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are there

pshichka [43]

I think that the answer to this is 40 girls

24/3=8

8*5=40

hope this helps

3 0

3 years ago

Suppose a polling agency reported that 44.4% of registered voters were in favor of raising income taxes to pay down the nationa

g100num [7]

Answer:

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

Step-by-step explanation:

Step(i):-

Given sample proportion

p⁻ = 44.4 % = 0.444

Random sample size 'n' = 1049

Given margin of error for 95% confidence level = 3 % = 0.03

Step(ii):-

95% of confidence interval for the proportion is determined by

$(p^{-} - Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} } , p^{-} + Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-} }{n} })$

we know that

Margin of error for 95% confidence level is determined by

$M.E = Z_{\alpha }\sqrt{\frac{p^{-} (1-p^{-}) }{n} }$

Step(iii):-

Now

95% of confidence interval for the proportion is determined by

$(p^{-} - M.E, p^{-} + M.E)$

Given Margin of error

M.E = 0.03

Now 95% of confidence interval for the proportion

$(0.444 - 0.03, 0.444+ 0.03)$

(0.414 ,0.474)

Conclusion:-

95% of confidence interval for the proportion of registered voters who are in favor of raising income taxes to pay down the national debt.

(0.414 ,0.474)

6 0

3 years ago