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Slav-nsk [51]
3 years ago
6

ABC is a straight angle. Find ABX and CBX .

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

Step-by-step explanation:

14x+70+20x+8 =180

34x + 78 = 180

34x = 102

X = 3

ABX 14(3)+70 = 112

CBX = 20(3) +8= 68

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Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highwa
iVinArrow [24]

Given:

Distance between two buildings = 3x^3- x^2 + 7x +100 feet apart.

Distance between highway and one building = 2x^2 + 7x feet.

Distance between highway and second building = x^3 + 2x^2 - 18 feet.

To find:

The standard form of the polynomial representing the width of the highway between the two building.

Solution:

We know that,

Width of the highway = Distance between two buildings - Distance of both buildings from highway.

Using the above formula, we get the polynomial for width (W) of the highway.

W=3x^3- x^2 + 7x +100-(2x^2 + 7x)-(x^3 + 2x^2 - 18)

W=3x^3- x^2 + 7x +100-2x^2-7x-x^3 -2x^2+18

Combining like terms, we get

W=(3x^3-x^3)+(- x^2 -2x^2-2x^2)+ (7x -7x)+(100 +18)

W=2x^3-5x^2+0+118

W=2x^3-5x^2+118

Therefore, the width point highway is 2x^3-5x^2+118.

8 0
3 years ago
Math-Limits and Derivative. Could anybody help me,please ?
Serhud [2]

Answer:

Step-by-step explanation:

Hello, please consider the following.

\displaystyle f'(0)=\lim_{x\rightarrow0} {\dfrac{f(x)-f(0)}{x-0}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1}{x}-k}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\dfrac{\sqrt{1+x}-1-kx}{x}}{x}}\\\\=\lim_{x\rightarrow0} {\dfrac{\sqrt{1+x}-1-kx}{x^2}}\\

Thank you

7 0
3 years ago
My store sold 2,500 flowers. 60% of the flowers are roses. how many roses did the store sell?
Orlov [11]
They sold 1500 roses
2500*.60=1500
5 0
4 years ago
Read 2 more answers
David went to a lot of concerts over the past year with different groups of friends. He went to a concert that cost $32 per tick
atroni [7]
David spent $172.

The first concert he went with 1 friend including himself so
32+32=64
The second concert he went with 2 friends including himself so
64+18+18+18=118
The third concert he went by himself so
118+54=172
David spent $172 dollars with him and his friends on tickets.
3 0
3 years ago
A pair of pants that regularly sells for $80 is on sale for 25% off. What is the sale price of the pair of pants?
Ipatiy [6.2K]

Answer:

$60?

Step-by-step explanation:

3 0
3 years ago
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