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telo118 [61]
3 years ago
12

Please help! Worth 36 points!

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Answer:

a. Same Side Interior Angles

b. Corresponding Angle

c. Alternate Exterior Angle

d. Alternate Interior Angles

e. 20

f. 70

Step-by-step explanation:

e. Corresponding angle add up to 90 degrees. Which you have to subtract 110 to 90 and is 20

f. same side interior angle adds up to 180 degrees. Which you have to subtract 180 to 110 and it is 70

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The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio
san4es73 [151]
\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
3 0
3 years ago
4% of _____ days is 56 days
schepotkina [342]
We have an equation: 56/? = 4/100

Cross multiply:
4*? = 56*100
⇒ ? = 56*100/4
⇒ ?= 1,400

4% of 1,400 days is 56 days~
4 0
3 years ago
Read 2 more answers
The total cost of Anfä's trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup:
daser333 [38]

Answer:

The cost of each cavity filling was $ 134.60.

Step-by-step explanation:

Given that the total cost of Anfa's trip to the dentist was $ 628.35, and she paid a flat fee of $ 89.95 which included the checkup: cleaning and then had 4 cavities filled, each of which cost the same amount, to determine which shows the correct equation and value of x, the cost of each cavity filling, the following calculation must be performed:

(628.35 - 89.95) / 4 = X

538.4 / 4 = X

134.6 = X

Therefore, the cost of each cavity filling was $ 134.60.

5 0
2 years ago
Sharon borrowed $750 at 12% for one year. She paid a $20 processing fee. How much will she pay in interest?
Hunter-Best [27]

Answer:

$90

Step-by-step explanation:

The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.

Annual Rate of interest offered to Sharon is 12%

Time interval for the loan transaction is 1 year.

So the interest for 1 year is given by \[Principal * Rate * Year /100\]

\[750 * 12 * 1 /100\] = $90

So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.

8 0
2 years ago
Sherman Zimmerman has decided to contribute 8% of his gross pay to his 401K. His employer will match 50% of the first 6% of his
sergiy2304 [10]
.5 x .06=.03
53600 x .03=1608.00
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4 0
3 years ago
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