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2 years ago

Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Mathematics

1 answer:

vesna_86 [32]2 years ago

4 0

Answer:

Step-by-step explanation:

Yes

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-1(x+5)=3[x+(2x-1)]<br> solved and justified each step

madreJ [45]

Answer:

Step-by-step explanation:

$-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}$

$-x-9x=9x-9x+2\\-10x=2\\\\\text{for the equation:}\ \text{division property of equality}\\\\-10x=2\qquad\text{divide both sides by -10}\\\dfrac{-10x}{-10}=\dfrac{2}{-10}\\x=-0.2$

$\text{Distributive property:}\ a(b+c)=ab+ac\\\text{Associative property:}\ (a+b)+c=a+(b+c)$

6 0

2 years ago

Does anyone know this??

blagie [28]

Answer:

x = 38, y = 4

Step-by-step explanation:

Since AB = BC then the triangle is isosceles and the base angles are congruent, that is

∠ DAB = ∠ DCB = 52°

Subtract the sum of the base angle from 180° for ∠ ABC

∠ ABC = 180° - (52 + 52)° = 180° - 104° = 76°

Note that ∠ ABD = ∠ CBD, thus

x = 76 ÷ 2 = 38

BD bisects the side AC, thus DC = AD = 4

Thus y = 4

5 0

2 years ago

Please help me find the length of the line!

ArbitrLikvidat [17]

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

7 0

2 years ago

the relationship between x and y is proportional. when x is 3 and y is 15. what is x when y is 60? what is the value of x.

Yuri [45]

12. 15 divided by 5 is 3, and 60 divided by 5 is 12. Hope this helps and hangs a great day!

3 0

2 years ago

System of equations y= 4x +6 and y= 6x -8

katrin2010 [14]

Answer:

A) y= 4x +6

B) y= 6x -8

multiplying A) by -1

A) -y = -4x -6 then we add this to B)

B) y = 6x -8

0 = 2x -14

x = 7

B) y= 6*7 -8

B) y = 42 -8

y = 34

Step-by-step explanation:

3 0

2 years ago