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Yanka [14]
3 years ago
6

Please help me guys

Mathematics
1 answer:
shutvik [7]3 years ago
8 0
The question has only given the angles so it can only be similar if it is similar by AA(angle-angle)

Both triangles have the 40 degrees so if another angle is the same then they would be similar

40+30+a=180
a=110

There is an angle that measures 110 so the triangles similar by AA

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1000 tickets were bought at a concert. the amount needed to buy a children’s ticket was $4.50 and the amount needed for an adult
Sholpan [36]

Answer:

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

Step-by-step explanation:

Let

x ----> the number of children's tickets bought

y ----> the number of adult tickets bought

we know that

x+y=1,000

x=1,000-y -----> equation A

4.50x+8.50y=7,300 -----> equation B

Solve the system by substitution

substitute equation A in equation B

4.50(1,000-y)+8.50y=7,300

solve for x

4,500-4.50y+8.50y=7,300

4y=7,300-4,500

4y=2,800

y=700

<em>Find the value of x</em>

x=1,000-700=300

therefore

The number of children's tickets bought was 300 and the number of adult tickets bought was 700

6 0
3 years ago
Ogden and Sylvio are both running backs for their respective football teams. Sylvio ran for a total of 82 yards while Ogden ran
miss Akunina [59]
The difference between the yards is -103
4 0
4 years ago
Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
Setler79 [48]

Answer:

Therefore values of a and b are

a=3\ and\ b = 2

Step-by-step explanation:

Rewrite x^{2}-6x+7=0 in the form

(x-a)^{2}=b

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

x^{2}-6x+7=0 ..............Given

Which can be written as

x^{2}-6x=-7

(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9

Adding half coefficient of X square on both the side we get

x^{2}-6x+9=-7+9=2 ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}

Substituting in equation 1 we get

(x-3)^{2}=2

Which is in the form of

(x-a)^{2}=b

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

a=3\ and\ b = 2

4 0
3 years ago
What is the probability that a red or green marble will be selected from a bag containing 9 red marbles, 6 blue marbles, 7 green
lara31 [8.8K]

Answer: \bold{\dfrac{16}{33} = 48\%}

<u>Step-by-step explanation:</u>

  Red  or  Green

=\dfrac{red}{total}+\dfrac{green}{total}

=\dfrac{9}{33}+\dfrac{7}{33}

=\dfrac{16}{33}

≈ 48%






4 0
4 years ago
Find the surface area of a cylinder with a height of 10 inches and base diameter of 6 inches?
Murrr4er [49]
The answer will be 8
3 0
3 years ago
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