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pshichka [43]
3 years ago
10

What is the reason that AX is perpendicular to XC

Mathematics
1 answer:
leonid [27]3 years ago
5 0

The statement doesn't tell us why AX is perpendicular to XC, but we actually don't need to know that.  All we need to show is that if AX is perpendicular to XC, then \angle AXC is right.

Luckily, this is true because of the definition of perpendicular lines.  Two perpendicular lines form right angles, so if two perpendicular segments intersect, they form a right angle at their intersection.  So, if AX is perpendicular to XC, angle AXC is right.

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Solve the equation 3x + 4y = 16 for x.
harina [27]
Simplifying
3x + -4y = 16

Solving
3x + -4y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
3x + -4y + 4y = 16 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 16 + 4y
3x = 16 + 4y

Divide each side by '3'.
x = 5.333333333 + 1.333333333y

Simplifying
x = 5.333333333 + 1.333333333y
7 0
4 years ago
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What are the excluded values of the function y=3/4x+64
vfiekz [6]
The excluded value is -16
C
4 0
3 years ago
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Use compatible numbers to estimate 104/16<br><br> A. 15<br> B. 5<br> C. 9<br> D. 7
Illusion [34]

Answer:

D

Step-by-step explanation:

104/16=6.5

6.5 rounds up to 7

3 0
3 years ago
Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. She reads about
FrozenT [24]

Answer:

<u>→To combine the two functions, you have to multiply them together, like so:</u>

h(x) · s(x)

<u>→This can also be shown as:</u>

<u />(103)(1.03)^x^-^1

The reason as to why you would multiply the two functions together, and not add, is because of the words accrues. Based on the information given, the interest amount of money, which is $103, accrues, which basically means that the money will increase in a pattern, over time. In addition, when a world problem involves a bank and money, multiplication is usually occurring.

7 0
3 years ago
Gracie can iron 3 shirts in 13 minutes. At this rate, how long will it take her to iron 10 shirts?
dexar [7]

Answer:

43 1/3 minutes to iron 10 shirts

Step-by-step explanation:

Number of shirts : Time taken

3 shirts : 13 minutes

10 shirts : x minutes

3 / 13 = 10 / x

Cross product

3 * x = 13 * 10

3x = 130

Divide both sides by 3

3x / 3 = 130 / 3

x = 43 1/3 minutes

x = 43 minutes 20 seconds

It will take 43 minutes 20 seconds to iron 10 shirts

4 0
4 years ago
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