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2 years ago

Two wrongs and One right: vertical angles. Please help only 2-3 questions

Mathematics

2 answers:

Stella [2.4K]2 years ago

7 0

The answer is correct i did your question and i got it was correct

luda_lava [24]2 years ago

3 0

Answer:

Solution one is correct and solution 2 and 3 are incorrect

Step-by-step explanation:

You simply make an equation because for vertical angles 2 angles that are across from each other have the same value (in this case 2x+30 and 5x-36.)

The equation: 2x+30=5x-36---->3x=66----> x=22

Solution 1 is correct.

Hope this helped!

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

2 years ago

A quadrilateral whose consecutive sides measure 15, 18,15, and 18

anastassius [24]

Answer:

its a rectangle

Step-by-step explanation:

how to explain this

6 0

2 years ago

Pam kept track of the puppies available for adoption at the shelter. after 2 hours, there were 10 puppies available for adoption

nataly862011 [7]

the 5th hour there would be 4 puppies available for adoption

The 6th hour would have 2 puppies available for adoption

these answers are only correct if the ratio stays the same

7 0

2 years ago

What is the volume of this cube? Enter your answer as a number only; no units.

muminat

Answer:

.125

Step-by-step explanation:

The volume of a cube is found by

V = s^3 where s is the side length

V = .5 ^3

V =.125 m^3

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3 years ago

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The price of a sofa was reduced from $250 to $180. By what percentage was the price

Inessa [10]

Answer:

the price was reduced by 28%

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