1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adelina 88 [10]
4 years ago
12

Geometry Homework Help Pleease~~

Mathematics
1 answer:
erik [133]4 years ago
4 0
Reason 2, where the [1] is at, is Definition of Midpoint
P is the midpoint of TQ and RS, so it cuts those segment into two congruent halves

Statement 3, where the [2] is at, is Angle TPR = Angle QPS
These two angles are vertical angles. They are opposite one another formed by the intersection of TQ and QS. Vertical angles are congruent.

Reason 4, where the [3] is at, is SAS Congruence Theorem
The two pairs of S terms are taken care of by statement 2. The middle angles A are the result from statement 3.
You might be interested in
Evaluate the expression if a = 2, b = −3, c = −4, h = 6, y = 4, and z = −1. <br><br><br> |2b−3y||+5z
lara [203]

Answer:

-23

Step-by-step explanation:

7 0
3 years ago
The student government snack shop sold 32 items this week
Firdavs [7]

Answer:

right the whole question

Step-by-step explanation:

if he sold 32 items this week last week he sold 20

5 0
3 years ago
I WILL GIVE BRAINLIEST ANSWER! PLZ HELP Sue and Bob both jumped rope to raise money for new gym equipment together they earned $
Phantasy [73]
The ratio of sue's earnings to bob's is 2:1
2+1=3
24÷3=8
8×2=$16
so sue earned $16 and Bob earned $8
8 0
3 years ago
I need help with this problem from the calculus portion on my ACT prep guide
LenaWriter [7]

Given a series, the ratio test implies finding the following limit:

\lim _{n\to\infty}\lvert\frac{a_{n+1}}{a_n}\rvert=r

If r<1 then the series converges, if r>1 the series diverges and if r=1 the test is inconclusive and we can't assure if the series converges or diverges. So let's see the terms in this limit:

\begin{gathered} a_n=\frac{2^n}{n5^{n+1}} \\ a_{n+1}=\frac{2^{n+1}}{(n+1)5^{n+2}} \end{gathered}

Then the limit is:

\lim _{n\to\infty}\lvert\frac{a_{n+1}}{a_n}\rvert=\lim _{n\to\infty}\lvert\frac{n5^{n+1}}{2^n}\cdot\frac{2^{n+1}}{\mleft(n+1\mright)5^{n+2}}\rvert=\lim _{n\to\infty}\lvert\frac{2^{n+1}}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^{n+1}}{5^{n+2}}\rvert

We can simplify the expressions inside the absolute value:

\begin{gathered} \lim _{n\to\infty}\lvert\frac{2^{n+1}}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^{n+1}}{5^{n+2}}\rvert=\lim _{n\to\infty}\lvert\frac{2^n\cdot2}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^n\cdot5}{5^n\cdot5\cdot5}\rvert \\ \lim _{n\to\infty}\lvert\frac{2^n\cdot2}{2^n}\cdot\frac{n}{n+1}\cdot\frac{5^n\cdot5}{5^n\cdot5\cdot5}\rvert=\lim _{n\to\infty}\lvert2\cdot\frac{n}{n+1}\cdot\frac{1}{5}\rvert \\ \lim _{n\to\infty}\lvert2\cdot\frac{n}{n+1}\cdot\frac{1}{5}\rvert=\lim _{n\to\infty}\lvert\frac{2}{5}\cdot\frac{n}{n+1}\rvert \end{gathered}

Since none of the terms inside the absolute value can be negative we can write this with out it:

\lim _{n\to\infty}\lvert\frac{2}{5}\cdot\frac{n}{n+1}\rvert=\lim _{n\to\infty}\frac{2}{5}\cdot\frac{n}{n+1}

Now let's re-writte n/(n+1):

\frac{n}{n+1}=\frac{n}{n\cdot(1+\frac{1}{n})}=\frac{1}{1+\frac{1}{n}}

Then the limit we have to find is:

\lim _{n\to\infty}\frac{2}{5}\cdot\frac{n}{n+1}=\lim _{n\to\infty}\frac{2}{5}\cdot\frac{1}{1+\frac{1}{n}}

Note that the limit of 1/n when n tends to infinite is 0 so we get:

\lim _{n\to\infty}\frac{2}{5}\cdot\frac{1}{1+\frac{1}{n}}=\frac{2}{5}\cdot\frac{1}{1+0}=\frac{2}{5}=0.4

So from the test ratio r=0.4 and the series converges. Then the answer is the second option.

8 0
2 years ago
$3,250 is withdrawn at the end of every month from an account paying 4.1% compounded monthly. Determine the previous value of th
kirill [66]
The amount needed such that when it comes time for retirement is $2,296,305. This problem solved using the future value of an annuity formula by calculating the sum of a series payment through a specific amount of time. The formula of the future value of an annuity is FV = C*(((1+i)^n - 1)/i), where FV is the future value, C is the payment for each period, n is the period of time, and i is the interest rate. The interest rate used in the calculation is 4.1%/12 and the period of time used in the calculation is 30*12 because the basis of the return is a monthly payment.

FV = $3,250*(((1+(4.1%/12)^(30*12)-1)/(4.1%/12))
4 0
3 years ago
Other questions:
  • Solve the proportion<br> h/4=7/14
    7·1 answer
  • Convert the complex number to polar form: 10 + 6i
    12·1 answer
  • I need help plssssssssssssssss
    5·1 answer
  • A sequence of transformations is described below. A reflection over a line \overleftrightarrow{PQ} PQ ​ P, Q, with, \overleftrig
    9·1 answer
  • HELP QUICK!!!! Drag the amounts to order them from greatest to least 1 qt equals 0.95 Liters 1 gallon equals 4 quarts 1 quart eq
    13·1 answer
  • Each problem.
    7·1 answer
  • Please help with this question
    12·1 answer
  • Need help soon please ​
    11·1 answer
  • Practice:
    9·1 answer
  • Find the y-intercept of the line represented by 2x-3x=6
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!