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masha68 [24]
4 years ago
7

Lara constructed angle POQ and then used a compass and straightedge to accurately construct line segment OS, as shown in the fig

ure below:
An angle POQ is drawn. Two similar arcs intersect OP and OQ. Two more similar arcs intersect each other at a point S and a dashed line is drawn from O to S, such that OS bisects angle POQ

Which could be the measures of angle POS and angle POQ?

Measure of angle POS is 35 degrees, measure of angle POQ is 65 degrees
Measure of angle POS is 40 degrees, measure of angle POQ is 70 degrees
Measure of angle POS is 45 degrees, measure of angle POQ is 75 degrees
Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees
Mathematics
2 answers:
Neporo4naja [7]4 years ago
6 0

Answer:

Measure of angle POS is 30 degrees, measure of angle POQ is 60 degrees.

Step-by-step explanation:

Anton [14]4 years ago
4 0
Measure of angle POQ is 60 degrees
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Answer:

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Step-by-step explanation:

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When solving negative one over eight (x + 35) = −7, what is the correct sequence of operations? (5 points)
sasho [114]
The correct answer choice is:  
______________________________________________
  [C]:  "<span>Multiply each side by −8, subtract 35 from each side" .
_______________________________________________
Explanation:
_______________________________________________
Given:  "</span>\frac{-1}{8} (x + 35) = -7 " ; 

We can START by multiply each side of the equation by "-8"  to completely get rid of the "\frac{-1}{8}"  fraction on the "left-hand-side" of the equation:

since:  "\frac{-1}{8}  * -8 = 1 ;  and:  "1" , multiplied by any given value, is equal to that given value; so in effect, the "1" becomes eliminated.

" \frac{-1}{8}  * -8 =  

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____________________________________________________
So,  given:  "\frac{-1}{8} (x + 35) = -7 " ; ; 

We multiply each side of the equation by "-8" ; 

→    -8 * { \frac{-1}{8} (x + 35) }  =  -7 * {-8) " ; 

→    1 (x + 35)  = 56 ; 

     →  x + 35 = 56 ;

Then, we SUBTRACT "35" (FROM EACH SIDE OF THE EQUATION) ;  to isolate "x" on ONE SIDE OF THE EQUATION; and to solve for "x" ;

     →  x + 35 − 35 = 56 <span>− 35 ;

     </span>→  x = 21 .
______________________________________________________
So, as explained, the correct answer is:  
______________________________________________________
   Answer choice:  [C]:
______________________________________________________
     
"<span>Multiply each side by −8, subtract 35 from each side" .
______________________________________________________</span><span>
</span>
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It follows from the task content that the linear expression which is as described by the given verbal description is to be determined.

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