Need to know the middle part
1 answer:
Since it shows us that both ends of the segment in the middle bisects the sides of the triangle in the middle, we know that the segment in the middle is half of the hypotenuse (4x + 20).
Let's solve the right side of the equation by distributing
Now, we can solve for x by moving the variable x to one side of the equation and everything else on the other side.
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The correct answers are:
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1) " 0.8 = 80 % " .
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2) " = 62. 5 % " .
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3) " 0.01 = 1 % " .
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Explanation:
To solve:
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Write the numbers: " 0.8 " ; " 5/8 " ; <u><em>and</em></u>: " 0.01 " ; as "percentages" .
To write a "number" as a "percentage" :
- You take the "number" ;
- Multiply that "number" by "100" ; <em><u>AND</u></em>:
- add a "percent symbol";
→ that is: " % " ;
→ to denote the "percentage" ; or, "parts per hundred" .
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Let us start with the number: " 0.8 " .
→ " 0.8 " * 100 = ?
→ Take the decimal point, and move it 2 decimal spaces to the right; since we are "multiplying" by "100" (which has "2 zeros") ;
→ 0.8 * 100 = ? ; If we move the decimal space "one space" forward, we have: "8" . If we move the decimal space yet "one more space forward" ;
→ "8." to: " 80 " .
→ Then we add the "percent symbol":
→ " 80 " ; to: " 80 % "
Answer: " 0.8 = 80 % " .
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Other method:
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→ Note that "percentage" means: "parts per hundred" :
→ Given: " 0.8 " ; Convert to a "percentage" :
→ " 0.8 = " ;
→ " " ;
→ Find the "?" value.
→ To do so; look at the "denominators" :
→ " 10 * (what) = 100 " ?
→ Divide each side by "10" ;
→ " [10 * what ] / 10 = 100 / 10 " ;
→ to get:
→ " [what] " = "10" .
→ So; " " ;
→ If "{10 * 10 = 100}" ; then, "{8 * 10 = 80}" .
→ So; " {?} " = " 80 " .
→ So; " " ;
→ As such: " 0.8 " = " () " ;
= " 80 " parts per hundred ;
= " 80 % " .
Answer: " 0.8 " = 80 % " .
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Now, let convert: "()" ; into a percentage.
→ Multiply by "100" ;
→ "()" * 100 ;
→ "() * (
)" ;
→ "()" ;
→ "()" ;
= " { 500 ÷ 8 } " ;
= " 62. 5 " ;
→ Now, add the "percent symbol" ;
→ " 62. 5 " ; → 62. 5 % " .
Answer: " = 62. 5 % " .
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Now, let us finish with our last "given value":
Convert: " 0.01 " ; to a "percentage" :
→ " 0.01 " * 100 = ?
→ Take the decimal point, and move it 2 decimal spaces to the right; since we are "multiplying" by "100" (which has "2 zeros") ;
→ 0.01 * 100 = ? ; If we move the decimal space "2 spaces forward" , we have: " 1 " .
As such:
→ " 0.01 " to: " 1 " .
→ Then we add the "percent symbol":
→ " 1 " ; to: " 1 % " .
Answer: " 0.01 = 1 % " .
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Hope this answer is of help to you.
Best wishes!
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