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maria [59]
3 years ago
7

The sum of three natural numbers is 720. The second number is 2 times larger than the first and 105 smaller than the third numbe

r.what is the difference between the largest number and the smallest number?

Mathematics
1 answer:
Klio2033 [76]3 years ago
8 0
Here is the solution

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Solve the simultaneous equation <br> 2x-5y=9<br> 3x+4y=2
Dmitriy789 [7]

Answer/Step-by-step explanation:

2x-5y=9

Add 5y  to both sides of the equation.

2x=9+5y

Divide each term by 2 and simplify.

Divide each term in 2x=9+5y by 2

\frac{2x}{2} =\frac{9}{2} +\frac{5y}{2}

Cancel the common factor of 2.

Divide x by 1.

x=\frac{9}{2} +\frac{5y}{2}

y=\frac{-9}{5} +\frac{2x}{5}

----------------------------------------------------------------------------------------------------------------

3x+4y=2

Add 4y to both sides of the equation

3x=2+4y

Divide each term by 3 and simplify.

Divide each term in 3x=2+4y by 3.

\frac{3x}{3} =\frac{2}{3} +\frac{4y}{3}

Cancel the common factor of 3.

Divide x by 1.

x=\frac{2}{3} +\frac{4y}{3}

y=\frac{-1}{2} +\frac{3x}{4}

5 0
2 years ago
I need help with these three
Ludmilka [50]
A. The relationship of <7 and <8 are that they are vertical angles, and are congruent.

B. Since vertical angles are congruent, you can form an equation where the two measurements equal each other. 

C. 5y-29=3y+19       then plug y into your equation: 5*24-29=91
    2y=48                   and so: <7 = 180-91=89 (and since <8 is congruent)
    y=24                     <8 also equals 89

Your second problem: 
complementary are two angles that add up to 90 degrees.
<B=x, <A=2x
2x+x=90
3x=90
x=30       so: <B=30 degrees, <A=60 degrees

Your third problem:
1. Since A and B are parallel, angle 3x+7 and angle 4x+5 are same-sided exterior angles. That means that they both add up to 180 degrees. So if you should add the two and make it equal 180
2. 3x+7+4x+5=180
    7x+12=180
    7x=168
    x=24
3. <6 is a corresponding angle with angle 3x+7, meaning that they are congruent. So plug x into 3x+7: 3*24+7=79 and since <6 is congruent to 3x+7, <6=79 degrees
6 0
3 years ago
Read 2 more answers
What is the smallest positive integer that Anastasia could have thought of?
Dima020 [189]

Answer:

1

Step-by-step explanation:

an integer is a natural counting number, such as 1...2...3...4... and so on....

zero is not considered an integer because it is a neutral number.

therefore, the smallest possible positive integer would have to be 1!

i hope this helped you!

stay safe!

:)

3 0
3 years ago
A bag contains the letters of the word “PROBABILITY”.
Sveta_85 [38]

The word probability has 11 letters, there are 2 b's, so, the probability you are asking for is P= 2/11.

3 0
3 years ago
What is the measure of angle z in this figure?<br><br><br><br> Enter your answer in the box.
rjkz [21]
<z = 180 - 43
<z = 137

answer
<z = 137 degrees
3 0
3 years ago
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