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3 years ago

What is the relationship between Za and Zb?

Mathematics

1 answer:

Nesterboy [21]3 years ago

6 0

Answer: B

Step-by-step explanation:

∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.

Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.

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konstantin123 [22]

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2 years ago

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What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

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Answer:

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2 years ago

Sally is planning a trip for 225 students

Gala2k [10]

Answer: 75 students.

Step-by-step explanation:

In the data set we have a total of 10 + 8 + 7 + 5 = 30 students.

of those, 10 want to go to the park, the percentage is:

(10/30)*100% = 33.3%

Then, out of the 225, we can expect that a 33.3% (or 0.333 in decimal form) want to go to the park, this is:

N = 225*0.333% = 74.925

We can roud it up, and get N = 75

So Sally can expect that 75 students want to go to the park

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3 years ago

What is the first term in a geometric sequence if the common ratio is − 2 and the sum of the first six terms is −105?

Serggg [28]

$\bf \qquad \qquad \textit{sum of a finite geometric sequence}
\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-2\\
n=6\\
S_6=-105
\end{cases}$

$\bf -105=a_1\left( \cfrac{1-(-2)^6}{1-(-2)} \right)\implies -105=a_1\left( \cfrac{1-(64)}{1+2} \right)
\\\\\\
-105=a_1\left( \cfrac{-63}{3} \right)\implies -105=a_1(-21)
\\\\\\
\cfrac{-105}{-21}=a_1\implies 5=a_1$

7 0

2 years ago

Find the x and y intercept of 2x + 5y - 20

UNO [17]

Answer:

x=(10,0)

y=(0,4)

Step-by-step explanation:

Rewrite the equation so it is 5y=2x-20

Multiply both sides by 5

Then figure out the equation and you get the x intercept

Then put 10 into your new equation in the x spot and thats how you get y

Hope this helps:)

If my explaining is not good you can also use Math_way and it shows you all th steps too.

6 0

3 years ago