<h3>
Answer:</h3>
90°
<h3>
Step-by-step explanation:</h3>
The polygon has 7 sides, so the total of internal angles will be ...
... 180°×(7 -2) = 900°
The sum is then ...
... x + 146° +122° +142° +140° +110° +142° = 900°
... x + 802° = 900° . . . . . simplify
... x = 98° . . . . . . . . . . . . .subtract 802°
_____
<em>Comment on angle measure formula</em>
The usual formula for computing the total of internal angles of a convex polygon with n sides is ...
... total angle measure = (n -2)×180°
This can be simplified from the fact that the sum of external angles is always 360°. That is, for internal angles a1, a2, ..., an, the sum of external angles is ...
... (180° -a1) +(180° -a2) +... +(180° -an) = 360°
... n×180° -(a1 +a2 +... +an) = 360° . . . . . . collect terms
... n×180° -360° = (a1 +a2 +... +an) . . . . . . add ∑ak -360°
... 180°×(n -2) = a1 +a2 +... +an . . . . . . . . . factor out 180°
Number line with open circle on 7 and shading to the left
Answer:
2
— = 0.66667
3
Step-by-step explanation:
Step 1 :
4
Simplify —
9
Equation at the end of step 1 :
3 4
— • —
2 9
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3 4
— • —
2 9
Step 3 :
Final result :
2
— = 0.66667
3
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Answer:
AC=28
Step-by-step explanation:
Angle C=180-91-59=30
Sin30=14/AC
AC=14/sin30
AC=28
A mixed number is (a whole number) plus (a fraction).
The whole number is no problem. It's ' 2 ' .
But how to get a fraction from .98 ?
The easiest way I know to explain it is: Read it out loud, and
write down what you hear yourself saying.
When you read ' .98 ' out loud, you should say
"ninety-eight hundredths" .
Write that down: 98/100 . There's your fraction.
It looks a little bit neater if you simplify it ... divide
the top and bottom by 2 , and then you have 49/50 .
So 2.98 is the same as the mixed number ( 2 and 49/50 ).