The answer is 105. Alternate interior angles of two parallel lines are congruent(meaning they are the same). 210/2=105, also the answer has to be below 180 degrees but more than 0.
From the given description, we can come up with the equations:
x<y
IxI>y
We can find the two numbers by guessing and checking:
If we plug in -5 for x and 3 for y, it satisfies both equations.
Answer: The correct answer is: " 3 " .
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Step-by-step explanation:
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The problem given is:
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Evaluate: log 2 base 8 .
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Rewrite as: " 
" ;
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Take note of the following definition of a logarithm:
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" 
" ; ↔ " 
" ;
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in which: 
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
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As such:
" "
⇔ " 
" ; Solve for "x" ;
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Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
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→ " " ;
→ " 
" ; since: " 
" ;
→ as such: " x = 3 " ;
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Thus:
"log 2 base 8 " ;
= 
.
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Hope this helps!
Best wishes to you!
Answer:
70°
Step-by-step explanation:
We know that the triangle is an iscoceles based on the 2 small lines drawn horizontally on 2 sides of the triangle.
We know that the base angles in an iscoceles triangle are the same, so the angle that has not been drawn is 55°.
55° + 55° = 110°
180° - 110° = 70° (180 comes from the entire triangle adding up to 180°)
(34-12)÷2+7
22÷2+7
11+7
18
Hope this helps! If you want more details in case you don't understand, leave a comment, I'll reply as soon as possible! :)
