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3 years ago

100 POINTS HELP ASAP NOW!!!!!! Find the value of x in each case.

Mathematics

1 answer:

Zepler [3.9K]3 years ago

5 0

9514 1404 393

Answer:

x = 22.5°

Step-by-step explanation:

The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:

2x +(180 -4x) = 6x

180 = 8x . . . . . . . add 2x and simplify

22.5 = x . . . . . . . divide by 8

The value of x is 22.5°.

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1) 0.1.x - 0.006 = 0.08.x + 0.134

skad [1K]

Answer:

x=7

Step-by-step explanation

left part + 0.006 = right part + 0.006

----> 0.1x = 0.08x+0.14

left part -0.08x =right part - 0.08x

----> 0.02x=0.14

x=7

6 0

3 years ago

Please help! 19 points! Brainliest to best answer! Solve for the following equation step by step and justify your steps when usi

oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Choose the domain for which each function is defined

klemol [59]

Answer:

Part 1) $f(x)=\frac{x+4}{x}$ -----> $x\neq 0$

Part 2) $f(x)=\frac{x}{x+4}$ ----> $x\neq -4$

Part 3) $f(x)=x(x+4)$ ----> All real numbers

Part 4) $f(x)=\frac{4}{x^2+8x+16}$ ----> $x\neq -4$

Step-by-step explanation:

we know that

The domain of a function is the set of all possible values of x

Part 1) we have

$f(x)=\frac{x+4}{x}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=0 the function is not defined

therefore

The domain is

$x\neq 0$

Part 2) we have

$f(x)=\frac{x}{x+4}$

we know that

In a quotient the denominator cannot be equal to zero

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

Part 3) we have

$f(x)=x(x+4)$

Applying the distributive property

$f*(x)=x^2+4x$

This is a vertical parabola open upward

The function is defined by all the values of x

therefore

The domain is all real numbers

Part 4) we have

$f(x)=\frac{4}{x^2+8x+16}$

we know that

In a quotient the denominator cannot be equal to zero

Equate the denominator to zero

$x^2+8x+16=0$

Remember that

$x^2+8x+16=(x+4)^2$

( $x+4)^2=0$

The solution is x=-4

For the value of x=-4 the function is not defined

therefore

The domain is

$x\neq -4$

6 0

3 years ago

Charles is going to purchase a new car that has a list price of $21,450. He is planning on trading in his good-condition 2004 Do

geniusboy [140]

Answer: is C

Step-by-step explanation:

16.70% XD OWO -W- ;$

3 0

3 years ago

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Ok so I found the area of a rectangle.

Kay [80]

Answer:

circle area = 1963.495 ft²

Step-by-step explanation:

Given

A rectangle 550 ft by 350 ft packed with circles on a rectangular grid

Find

the area of the largest circle that can be packed this way

Solution

The diameter of the circle must be a factor of both 350 and 550. We want the diameter to be the largest such factor. We can write the factors of 350 and 550 as ...

350 = 50 × 7
550 = 50 × 11

The largest factor common to both numbers is 50, so that will be the diameter of the largest circle that will fit on a square grid.

The area of a circle is commonly given by the formula ...

A = πr² . . . . . where r represents the radius of the circle.

The radius is half the diameter, so will be (50 ft)/2 = 25 ft. And the area of the circle is ...

A = π(25 ft)² = 625π ft² ≈ 1963.495 ft²

The area of one circle is about 1963.495 square feet.

_____

The total number of circles is 11×7 = 77. Their total area is 77×1963.495 ft² ≈ 151,189 ft². This is 151,189/192,400 ≈ 78.54% of the total area of the rectangle.

6 0

3 years ago