Answer:
Step-by-step explanation:
The tangent to the angle makes an angle of 90° with the radius.
The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.
By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore
x = 60-30 = 30°.
Answer:
5x - 4y = 32
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x - 4y = 36 ( subtract 5x from both sides )
- 4y = - 5x + 36 ( divide all terms by - 4 )
y = 
x - 9 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (8, 2) into the partial equation
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = x - 8 ← in slope- intercept form
Multiply through by 4
4y = 5x - 32 ( subtract 4y from both sides )
0 = 5x - 4y - 32 ( add 32 to both sides )
32 = 5x - 4y, that is
5x - 4y = 32 ← in standard form
The answer is: [C]: "30%" .
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Explanation:
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Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
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Method 1)
15/50 = ?/ 100 ;
Look at the denominators:
50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;
→ 50 * 2 = 100 ;
So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
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Method 2:
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"15/50" = (15÷5) / (50÷5) = 3/10 ;
3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
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Method 3: (slight variation of "Method 2" above):
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"15/50" = (15÷5) / (50÷5) = 3/10 ;
3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
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