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steposvetlana [31]
1 year ago
9

Assuming the following two triangles are congruent, solve for x if QR = 3x + 16 and GH = 5x - 22.Two trianglesA)12B)-3C)19D)76

Mathematics
1 answer:
amm18121 year ago
6 0

Explanation:

Concept:

To calculate the value of x, we will use the relation below

\begin{gathered} QR=GH \\ QR=3x+16 \\ GH=5x-22 \end{gathered}

Bu\y substituing the values, we will have

\begin{gathered} QR=GH \\ 5x-22=3x+16 \\ collect\text{ similar terms, we will have} \\ 5x-3x=16+22 \\ 2x=38 \\ \frac{2x}{2}=\frac{38}{2} \\ x=19 \end{gathered}

Hence,

The final answer is

19

OPTION C is the correct answer

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Yuliya22 [10]

Answer:

THATS FRIKIN HARD that makes me wanna go ???????????????????????????????????????????????????????????????????????????????????????

Step-by-step explanation:

7 0
3 years ago
Sammy and 4 friends went to Austin for a summer weekend. Sammy made 21 cups of lemonade. Everyone, including, Sammy, wants an eq
JulsSmile [24]

Answer:

5 cups

Step-by-step explanation:

sammy + 4 friends = 5 people

21/5 = 4.2

we rounded it off to 5 cups.

7 0
3 years ago
Find P(C|Y) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The sec
Monica [59]

The probability is the ratio of the favorable event to the total number of events. The P(C|Y) is 0.5. Then the correct option is B.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

According to the problem, the table is made

                          X               Y               Z               Total

  A                    32              10             28                 70

  B                     6                5              25                 36

  C                    18               15              7                   40

Total                 56              30             60                146

Then the probability of will be

\rm P(C|Y) = \dfrac{15}{30}\\\\P(C|Y) = 0.5

The P(C|Y) is 0.5. Then the correct option is B.

More about the probability link is given below.

brainly.com/question/795909

8 0
3 years ago
There is a pond on my property that Wildlife and Fisheries stocks. From information provided to me, I can expect my fish populat
LenaWriter [7]

An exponential function can either represent growth or decay

  • The initial value is 200 and the growth factor is 1.190
  • The number of fish in the pond after 5 years is 436

<u>(a) The initial number of fish and the growth factor</u>

The function is given as:

P(t) = 200 \times 2^{t/4}

An exponential function is represented as:

P(t) = ab^t

Where

  • a represents the initial value
  • b represents the growth factor

So, by comparison: the initial value is 200

The growth factor is then calculated as:

b = 2^{1/4}

b = 1.190

Hence, the initial value is 200 and the growth factor is 1.190

<u>(b) The number of fish after 5 years</u>

This means that t = 5.

So, we have:

P(t) = 200 \times 2^{t/4}

P(5) = 200 \times 2^{5/4}

P(5) = 200 \times 2^{1.125}

P(5) = 436

Hence, the number of fish in the pond after 5 years is 436

Read more about exponential functions at:

brainly.com/question/11464095

8 0
3 years ago
Karl drove 603.5 miles. for each gallon of gas, the car 41 miles. what is a resonable amount to use
Kobotan [32]

Answer:

15

Step-by-step explanation:

To find the answer, round the answer to 603.5/41

603.5/41 is approximately 15

Karl used about 15 gallons

Hope this helps :)

Have a great day!

7 0
3 years ago
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