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Sophie [7]
3 years ago
8

~ HELP NEEDED!!!! 20 POINTS ~

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

Here is a proof

 

Angle DEF  =  angle ABC              

A transversal cutting two parallel lines makes alternate exterior angles equal

 

Sum of  measures of angles 1 and 2  = 50° + 48°  =  98°   = measure of angle DEF  =  measure of angle ABC

 

But since  s bisects   angle ABC, then angle 4  =  98 / 2   = 49°

 

But angles 3 and 4  are vertical angles....therefore.... measure of angle 3  =  49°

Step-by-step explanation:

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Find the quotient of 4.13 x 10^-8 and 0.04 x 10^5. In two or more complete sentences, explain each step in your calculations.Inc
poizon [28]

we know that

Quotient is the number resulting from the division of one quantity by another

Let

x--------> the first quantity

y------> the second quantity

q------> the quotient

So

q=\frac{x}{y} -------> equation 1

in this problem

x=4.13*10^{-8} \\ y= 0.04*10^{5}

Substitute the values in the equation 1

q=\frac{4.13*10^{-8}}{0.04*10^{5}}

Simplify

q=\frac{4.13*10^{-8}}{0.04*10^{5}}=\frac{4.13}{0.04}*10^{-8}*10^{-5}=\frac{4.13}{0.04}*10^{-13}\\ \\q=103.25*10^{-13}\\ \\q= (1.0325*10^{2})*10^{-13}\\ \\q= 1.0325*10^{-11}

therefore

<u>the answer is</u>

The quotient is equal to 1.0325*10^{-11}

6 0
3 years ago
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