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Airida [17]
3 years ago
13

If the m ZABC = 60°, find mZABD.

Mathematics
1 answer:
Vinil7 [7]3 years ago
7 0

Answer:

39.5

Step-by-step explanation:

angle ABC=60=(5x+2)+(3x-2)

60=8x

x=7.5

Angle ABD=(5x+2),(sub x=7.5)

                  =(5*7.5+2)

                  =39.5

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Answer:Serkan teacher regularly buys 75 TL of gasoline in his car every week.

At the end of the 13th week, how much is the total gasoline expenditure made by the serkan teacher?

A)390 B)420 C)900 D)975

Step-by-step explanation:

4 0
3 years ago
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*6. Five brothers each bought two hot dogs & a bag of chips. If the chips
Oxana [17]
D- 1.65 per hot dog

Take the amount of the bag of chips which is 1.25 and multiply it by 5 because that’s how many people there are and they each bought one bag
1.25 x 5= 6.25
Next you want to subtract that amount from the total so we can just have the amount of money spent on hot dogs
22.27-6.25=16.50
Then you want to divide 16.50 by 5 because they all bought the same amount of hot dogs and this will get us to the amount of to hot dogs
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3.30/2=1.65

There you go!!
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He got shot at the new orland street corner
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4 years ago
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The high for a winter day in Sitka,
m_a_m_a [10]

Answer:

The maximum temperature will be -10°C, then if T represents the temperature, we can write this as:

T ≤ -10°C

And the minimum temperature will be -25°C, then we must have that:

T ≥ -25°C

if we use both conditions, we will have:

-25°C ≤ T ≤ -10°C

We can write this range:

[-25°C, -10°C]

Where the [] symbols mean that the extremes are possible temperatures.

The length of the range will be:

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3 0
3 years ago
Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w
Darya [45]

Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

  • P(Charlie Wins)=2/4
  • P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

  • P(Lucy Wins)=2/4
  • P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|

Expected Profit

=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0

Lucy's expected profit from the game is $0.

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