Part (1):
The sum of the internal angles in any triangle is 180.
This means that:
∠1 + ∠2 + ∠3 = 180
We are given that:
∠1 + ∠3 = 154°
Therefore:
∠2 + 154 = 180
∠2 = 180 - 154 = 26°
Part (2):
Complementary angles are defined as angles that sum up to 90°
Supplementary angles are defined as angles that sum up to 180°
We know that ∠1 and ∠3 sum up to 154°.
This means that they are neither complementary nor supplementary.
Hope this helps :)
I=1.5m
m+1.5m=20
2.5m=20
m=8
20-8=12
Isobel worked 12 hours.
Answer:
Missing Number) 55
Property being used) Distributive
Step-by-step explanation:
To find the missing number, just plug in reasonable numbers from the other equation. It is distributive because the 55 is being distributed into everything that is inside the parentheses. If you need more help, comment and I'll be more than glad to assist you! :P
Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
<h3>What is a confidence interval?</h3>
It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.
134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:
p = 134/420 = 0.319
The margin of error for the statistic is 0.045, hence:
0.319 - 0.045 = 0.274
0.319 + 0.045 = 0.364
The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
More can be learned about confidence interval concepts at brainly.com/question/25890103
first what quantities do we need to talk about?
the problem speaks of “a number”, let’s call that number x.
now write the equation that relates x to the other numbers we know.
the first clue is the word “difference”.
this means “subtraction”, but we need to subtract something from something else.
what are the two somethings? ”a number times 7” and “4”.
so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?
it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9
i assume that you know how to solve this for x.
so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13
7x = 13
7/7 = 13/7
x= 13/7
