For 8b it would be explained like this:
28(-4) - 4(1)
-112 - 4
-116
Answer:
a = - 5
Step-by-step explanation:
Given
0.5(14a + 46) = - 11a - 42 + 5a ← distribute left side
7a + 23 = - 6a - 42 ( add 6a to both sides )
13a + 23 = - 42 ( subtract 23 from both sides )
13a = - 65 ( divide both sides by 13 )
a = - 5
<span>Rounded numbers are easier to work with in your head. They are only approximate. An exact answer can not be obtained with these numbers. Sometimes an exact answer is not required.To round numbers to the nearest ten thousand, make the numbers whose last four digits are 0001 through 4999 into the next lower number that ends in 0000. For example 54,424 rounded to the nearest ten thousand would be 50,000. Numbers that have the last four digits of 5000 or more should be rounded up to the next even ten thousand. The number 78,988 rounded to the nearest ten thousand would be 80,000.this might help you understand
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The correct answer is: [C]: " m∠H = 91 ° " .
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Explanation:
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Note:
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m∠F + m∠G = 90 ;
{since 2 complementary angles, by definition, add up to 90°.}.
m∠G + m∠H = 180 ;
{since 2 supplementary angles, by definition, add up to 180°.}
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We are asked to find the smallest value of the " m∠H "
(among the given answer choices):
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Note:
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m∠G = 180 − m∠H ;
m∠H = 180 − m∠G ;
m∠F = 90 − m∠G ;
m∠G = 90 − m∠F ;
m∠G = 180 − m∠H ;
m∠H = 180 − m∠G .
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The question is:
"What is the smallest value of " m∠H "; in whole number, among the answer choices given?" ;
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Note: Consider each of the answer choices given:
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Choice: [A]: " m∠H = 1 " ;
{Note, This value is SMALLEST value among ALL the answer choices.}.
If " m∠H = 1" ; then " m∠G = 179 ", since: " m∠G + m∠H = 180".
Then, could "m∠F + m∠G = 90" ?? NO! Because, if "m∠G = 179" ;
then m∠F would have to equal a "negative number" to get:
" m∠F + m∠G = 90 " ;
So, "Choice [A]: " m∠H = 1 " ; is incorrect.
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Choice [B]: " m∠H = 89 " ;
If "m∠H = 89" ; then "m∠G = 91", since: "m∠G + m∠H = 180".
{Note: "180 − m∠H = m∠G " ; → "180 − 89 = m∠G ;
→ "m∠G = 91" .}.
Then, could "m∠F + m∠G = 90" ?? NO! Because, if "m∠G = 91" ; then "m∠F " would have to equal a "negative number" to get: "m∠F + m∠G = 90" ;
So; "Choice: [B]: "m∠H = 89" ; is incorrect.
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Choice [C]: " m∠H = 91 " ;
If "m∠H = 91" ; then "m∠G = 89", since: "m∠G + m∠H = 180".
{Note: "180 − m∠H = m∠G " ; → "180 − 91 = m∠G ; → "m∠G = 89" .}.
Then, could "m∠F + m∠G = 90" ?? YES! Because, if "m∠G = 89" ; then
"m∠F" COULD equal "1" ; and in such a case; "m∠F + m∠G = 1 + 89 = 90."
So; Choice: [C]: " m∠H = 91 " ; is a possible correct answer.
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Let us try the last answer choice:
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Choice [D]: " m∠H = 179 " ;
If "m∠H = 179" ; then "m∠G = 1", since: "m∠G + m∠H = 180".
{Note: "180 − m∠H = m∠G " ; → "180 − 179 = m∠G ; → "m∠G = 1" .}.
Then, would "m∠F + m∠G = 90" ?? Yes! Because, if "m∠G = 1" ; then "m∠F" would equal "89";
{Note: "m∠F + m∠G = 89 + 1 = 90 " .
{Note: "90 − m∠G = m∠F " ; → "90 − 1 = m∠F " ;
→ m∠F = 89° . }.
→ So; "Choice: [D]: " m∠H = 179 " ; is a possible correct answer.
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Note: The question asks:
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"What is the smallest possible measure of "angle H" {" m∠H "} ?
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The 2 (TWO) possible correct answers are:
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Choice [C]: " m∠H "= 91 " ;
and Choice [D]: " m∠H = 179 " .
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The smallest possible " m∠H" is:
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Answer choice: [C]: " m∠H = 91° " .
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1. 20 squared + 48 squared = 2704
square root of 2704 is 52. Answer: 52 inches.
2. -18 squared + 82 squared = 6400
square root of 6400 is 80 Answer: 80 inches