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jeka94
3 years ago
12

The sum of two numbers is 30. The larger number is 6 more than the smaller number. Find the two numbers

Mathematics
2 answers:
Sati [7]3 years ago
7 0
Let b>a

We are told that b=a+6 and that a+b=30

Using the value of b=a+6 in a+b=30 gives you:

a+(a+6)=30  combining like terms on left side

2a+6=30  subtract 6 from both sides

2a=24  divide both sides by 2

a=12, and since b=a+6

b=18

So the two numbers are 12 and 18.
Zinaida [17]3 years ago
6 0
The answer is 24 and 6.
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Answer:

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Step-by-step explanation:

As per the secant theoram, if two secant intersect outside the circle then the product of the exterior secant and total length of each secant are equal.

7) ∴ (x+3)\times 3= (10+2)\times 2

opening parethesis and distributing 3 with x and 3.

⇒ 3x+9=24

subtracting 9 on both side.

⇒ 3x=15

cross multiplying

∴ x= 5.

8) (3+5)\times 5= (x+4)\times 4

Opening parethesis and distributing 4 with x and 4.

⇒ 8\times 5=4x+16

⇒ 40=4x+16

subtracting 16 on both side.

⇒ 24=4x

cross multiplying

∴ x= 6.

9) (x+5)\times 5= (6+4)\times 6

opening parethesis and distributing 5 with x and 5.

⇒ 5x+25=60

subtracting 25 on both side.

⇒ 3x=35

cross multiplying

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6 0
3 years ago
URGENT FOR A GRADE DUE BY 4:00 WILL GIVE BRAINLIEST AND RATE GOOD PLEASE PLEASE HELP THX!
eduard
First, find the area of the circle A=pi r^2 = 3.14 (8)^2=200.96 
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Second, find the area of the triangle A=(hb)/2=(8*16)/2=64
since the triangle is resting on the diameter of the circle that means the height of the triangle is also the radius of the circle so h=8 and b=16 

Third, subtract the area of the triangle from the area of the circle to find the area of the shaded regions. 
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200.96-64=136.96
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4 years ago
Find the Area of a square with length(x + 7) and width (x + 7)
ValentinkaMS [17]

Answer:

x^2 +14x+49

Step-by-step explanation:

Area = length * width

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       FOIL

    first: x^2

    outer: 7x

   inner: 7x

    last: 7*7 = 49

Add them together

x^2 +7x+7x + 49

Combine like terms

x^2 +14x+49

8 0
3 years ago
In the diagram below, line MN is a perpendicular bisector. Which of the following is true?
natali 33 [55]

Answer:

MT is congruent to MS

Step-by-step explanation:

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Answer:

Your answer

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Step-by-step explanation:

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