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AlladinOne [14]

3 years ago

9

Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total

score, s, increases by 5% of the player’s current points. Jack currently has p points and has won 3 consecutive games. The function that represents a player’s points including the bonus points, b, is b(p) = . The function that gives the net points after the percentage increase in a player’s total points is s(p) = . Jack’s total score after winning the bonus points, given by the function (s ∘ b)(p), is . Reset Next

1 answer:

Luba_88 [7]3 years ago

7 0

Oops wrong one man I’m sorry

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Based on the information given say whether or not △ABC∼△FED. Explain your reasoning.

GalinKa [24]

Answer:

Yes, △ABC ∼ △FED by AA postulate.

Step-by-step explanation:

Given:

Two triangles ABC and FED.

m∠A = m∠B

m∠C = m∠A + 30°

m∠E = m∠F = $x$

m∠D = $2x-20$ °.

Now, let m∠A = m∠B = $y$

So, m∠C = m∠A + 30° = $y+30$

Now, sum of all interior angles of a triangle is 180°. Therefore,

m∠A + m∠B + m∠C = 180

$y+y+y+30=180\\3y=180-30\\3y=150\\y=\frac{150}{3}=50$

Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.

Now, consider triangle FED,

m∠D+ m∠E + m∠F = 180

$2x-20+x+x=180\\4x=180+20\\4x=200\\x=\frac{200}{4}=50$

Therefore, m∠F = 50°

m∠E = 50° and

m∠D = $2x-20=2(50)-20=100-20=80\°$

So, both the triangles have congruent corresponding angle measures.

m∠A = m∠F = 50°

m∠B = m∠E = 50°

m∠C = m∠D = 80°

Therefore, the two triangles are similar by AA postulate.

5 0

3 years ago

Solve (4 - x ≤ -1) ∩ (2 + 3x ≥ 17).

belka [17]

$4-x \leq -1\ \ \ | subtract\ 4\ \ \ \ \ and\ \ \ \ 2+3x \geq 17\ \ \ | subtract\ 2\\\\
-x \leq -5\ |*(-1)\ \ \ \ and\ \ \ \ 3x \geq 15\ \ | divide\ by\ 3\\\\
x \geq 5\ \ \ \ \ and\ \ \ \ x \geq 5\\\\
Solution\ is\ x\in[5,+\infty)$

3 0

3 years ago

Read 2 more answers

The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change w

pychu [463]

Answer:

50-(14+12+2(5)+2(2)+3)

50-(26+10+4+3)

50-43

7

Step-by-step explanation:

Hope this Helps

8 0

3 years ago

Read 2 more answers

At the city museum, child admission is $5.20 and adult admission is $8.90 . on friday, 159 tickets were sold for a total sales o

Zinaida [17]

Total tickets sold = 159
Total sales = $1100.60
Child admission = $5.20
Adult admission = $8.90

Assumed all 159 tickets are Child admission tickets
Total sales = 159 x 5.2 = $826.80

Difference in amount = $1100.60 - $826.80 = $273.80
The difference must be contributed by the Adult Admission Tickets, which has a difference of $8.90 - $5.20 = $3.70

$273.80 ÷ $3.70 = 74 adult tickets

159 - 74 = 85 child tickets

5 0

3 years ago

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

2 years ago