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3 years ago

What is the measure of angle 2

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

The angle above 111 degrees must be 69 degrees because of supplementary angles (111+69=180)

And since the triangles are congruent, angle 2 must be 69 degrees as well.

Hope this helped.

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. Duke's photography pays $9 for a 5x7 photograph.

g100num [7]

Answer:

the markup percentage is 66.67%

Step-by-step explanation:

The computation of the percent of markup based on cost is shown below:

= (Selling price - paid price) ÷ (paid price)

= ($15 - $9) ÷ ($9)

= 66.67%

By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup

Hence, the markup percentage is 66.67%

5 0

2 years ago

A box contains 76 coins, only dimes and nickels. The amount in the box is $4.90. How many dimes and how many nickels are in the

dangina [55]

The number of dimes is 75 coins.

The number of nickels is 1 coin.

Step-by-step explanation:

It is given that,

A box contains 76 coins, only dimes and nickels.

The 10 cent coin is called a dime.
Let, the number of dimes be x.
The 5 cent coin is called a nickel.
Let, the number of nickels be y.

This is represented by the system of equations :

x + y = 76 -------(1)

10x + 5y = 4.90 ------(2)

Multiply eq (1) by 5 and subtract eq (2) from eq (1),

5x + 5y = 380

-(10x + 5y = 4.90)

-5x = 375.1

x = 375/5

x = 75 coins.

The number of dimes is 75 coins.

Substitute x=75 in eq (1),

y = 76 - 75

y = 1 coin.

The number of nickels is 1 coin.

6 0

2 years ago

Read 2 more answers

Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30

lbvjy [14]

Answer:

Barry travels 4mph. Robin travels 5mph. Therefore Robin is walking faster.

Step-by-step explanation:

2x2=4

36/60=0.6

0.2=1

0.2x5=1

1x5=5

6 0

1 year ago

1. A weighted coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the pr

ohaa [14]

Answer:

80/81

Step-by-step explanation:

If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

The probability of getting at least 1 head involves 4 scenarios:

1) 1 Head and 3 Tails

2) 2 Heads and 2 Tails

3) 3 Heads and 1 Tail

4) 4 Heads

Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:

P(at least one head) + P(no heads) = 1

Then, P(at least one head) = 1 - P(no heads)

The probability of 4 tails is:

P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81

Then, P(at least one head) = 1 - 1/81=80/81

7 0

2 years ago

Plz help I will mark you brainlist plz

Vsevolod [243]

Answer: p=0.87 (density of oil), m=37.5 (mass of liquid), v=11.92 (volume of liquid)

Step-by-step explanation:

p=m/v

p=43.5/50

p=0.87 (density of oil)

m=pv

m=2.5x15

m=37.5 (mass of liquid)

v=m/p

v=65/5.45

v=11.93 (volume of liquid)

8 0

3 years ago

Read 2 more answers