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Snezhnost [94]
1 year ago
6

points Q and R are midpoints of the sides of triangle ABC. Triangle A B C is cut by line segment Q R. Point Q is the midpoint of

side A B and point R is the midpoint of side A C. The lengths of A Q and Q B are 4 p, the length of Q R is 2 p + 3, and the length of C B is 6 p minus 4. The lengths of A R and R C are congruent. What is AQ? 10 units 14 units 20 units 32 units

Mathematics
2 answers:
notsponge [240]1 year ago
8 0

Answer:

AQ = 20 units

Step-by-step explanation:

I tried figuring in the pic below..

Similar triangles are triangles whose corresponding measures are proportional. All of their corresponding angles are also congruent. There are theorems and postulates that prove triangle similarity. Usually they requrie at least three parts of each triangle. The symbol for similarity is ~.

We have two triangles in the figure. ΔAQR and ΔABC. We will prove first that they are similar.

marta [7]1 year ago
6 0

Answer:

20

Step-by-step explanation:

RQ is 1/2 of CB, so 2(2p+3)=6p-4. This would make p=5. Then, 5*4=20.

(also it is right on edgenuity)

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Pam bought 50 kg of sugar. She used 10 kg of sugar. What percentage of sugar was left? (step by step answer would be appreciated
galben [10]

Answer:

80%

Step-by-step explanation:

50 x 50 would be 100 and 50kg=100% and 10 x 2 = 20 so you used 20% therefore you have 80% left.

8 0
2 years ago
Read 2 more answers
Ana can swim at a rate of 3/8 mile in 1/3 hour how many minutes would it take her to swim 1 mile at this rate round your answer
slavikrds [6]
ANSWER: 53 minutes


First, find what 1/3 of an hour equals in minutes. 20 minutes = 1/3 hour

Second, the goal is to find how many minutes it takes Ana to swim 1 mile, so you want to find how long it takes Ana to swim 1/8 of a mile.
3/8 mile = 20 minutes
20/3 = 6.666... so 1/8 mile = 6.666... minutes

Third, multiply the amount of time it takes to swim 1/8 mile by 8.
6.666 x 8 = 53.328 ⬅️ round to the nearest minute = 53 minutes
7 0
1 year ago
You earn 13.76/hr part-time and work 10hrs/wk. your deductions are FICA(7.65%), federal tax withholding (9.8%) and state tax wit
PSYCHO15rus [73]
$137.60    (gross pay)
$10.53      (FICA)
$13.18      (Federal Tax)
$9.81        (State Tax)
---------------------------------
$103.78    (Net Pay)
$77.84      (Deposit)
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$25.94      (To You)
$38.92      (To Savings)

4 0
2 years ago
Read 2 more answers
Arnold took out a loan of 195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have
kolbaska11 [484]

Answer:

25155000

Step-by-step explanation:

<h3>we know intrest (i):-PTR/100</h3>

by formula

  1. <u>195000×30×4.3%</u>

100

2. 5850000<u>×4.3</u>

<u>100</u>

100

3. 25155000

3 0
1 year ago
The ratio of money in Brian's wallet to Colin's wallet one day was 5:1. Brian spent £27 that day. Brian now had £3 less than Col
myrzilka [38]

Answer:

Brian had $30 initially.Brian had $30 initially.

Step-by-step explanation:

WE are given the following in the question:

Let Brian have x dollars and Colin have y dollars.

Ration of Brian's money to Colin's money is 5:1. This, we can write the equation:

\dfrac{x}{y} = \dfrac{5}{1}\\\\x = 5y

"Brian spent £27 that day. Brian now had £3 less than Colin."

Thus, we can write the equation:

x-27 = y-3\\x-y = 24

Solving the two equation by substitution, we get,

x - y - 24\\5y - y = 24\\4y = 24\\y=6\\x = 5y =30

Thus, Brian had $30 initially.

7 0
1 year ago
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