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julia-pushkina [17]
3 years ago
7

Can someone please help me?

Mathematics
2 answers:
Flauer [41]3 years ago
7 0

Answer:

Angle D = 44° (degrees)

Step-by-step explanation:

given that ∆ABC is congruent to ∆DBC, AB = 10, and Angle A = 44°. Angle D must be 44° as well since you can tell that angle abc is 88° and is not a right angle, and due to the corresponding parts. You can also think about these triangle as angles since angle abc = angle dbc. The other angles can be calculated using the triangle sum theorem since both triangles share side bc so angle acb and dcb are right angles(90°)

therefore 180-(44+90) = 46° which the measure of angles abc and dcb.

This measure would only make it true because of triangle congruency.

Radda [10]3 years ago
4 0

Answer:

44 degrees

Step-by-step explanation:

Triangles ABC and DBC are congruent (as said in the question), that would make the corresponding parts of the two triangles congruent.

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James sold 450 tickets for the community play. Tickets for children cost $2, and tickets for adults cost $5. James sold $1,800 w
nlexa [21]

Answer:

<u>James sold 300 tickets for adults</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of tickets sold by James = 450

Cost of a child ticket = $ 2

Cost of an adult ticket =$ 5

Amount of money collected by James after selling the 450 tickets for the community play = $ 1,800

2. How many tickets for adults did James sell?

x = Number of adult tickets James sold

450 - x = Number of children tickets James sold

For solving for x, we write this equation:

5x + 2 * (450 - x)  = 1,800

5x + 900 - 2x = 1,800

3x = 1,800 - 900

3x = 900

x = 900/3 = 300

450 - x = 450 - 300 = 150

<u>James sold 300 tickets for adults and 150 for children</u>

7 0
3 years ago
Cable has 24 pennies he has hafe as many nickels as pennies he has 5 more dimes than nickels he has 6 fewer quarters than dimes
Andreyy89
Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6

Therefore...

Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
6 0
3 years ago
If there are 135 revolutions in 180 seconds how many revolutions in 40 seconds?
BartSMP [9]

Answer:

53.3 rotations

Step-by-step explanation:

135/180=x/40

solve by cross multiply

7 0
2 years ago
Plz help................
Paul [167]
The answer is a^{2} +2a
3 0
3 years ago
Read 2 more answers
Let A be a set of numbers.
LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

a.

Let A be a set of all integers divisible by 5.

Let x,y∈A such that x=5m\,,\,y=5n

Find x+y,xy

x+y=5m+5n=5(m+n)

So, x+y is divisible by 5.

xy=(5m)(5n)=25mn=5(5mn)

So,

xy is divisible by 5.

Therefore, A is closed under addition and multiplication.

b.

Let  A = { 2n +1 | n ∈ Z}

Let x,y∈A such that x=2m+1\,,\,y=2n+1 where m, n ∈ Z.

Find x+y,xy

x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)

So,

x+y ∉ A

xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1

So,

xy∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

c.

Let A=\{2,5,8,11,14,...\}

Let x=2,y=5 but x+y=2+5=7∉A

Also,

xy=2(5)=10∉A

Therefore, A is not closed under addition and multiplication.

d.

Let A = { 17n: n∈Z}

Let x,y ∈ A such that x=17n,y=17m

Find x + y and xy

x+y=17n+17m=17(n+m)

xy=(17m)(17n)=289mn=17(17mn)

So,

x+y,xy ∈ A

Therefore, A is closed under addition and multiplication.

e.

Let A be the set of nonzero real numbers.

Let x,y ∈ A such that x=-1,y=1

Find x + y

x+y=-1+1=0

So,

x+y ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0
3 years ago
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