<u>Given</u>:
Given that the isosceles trapezoid JKLM.
The measure of ∠K is 118°
We need to determine the measure of each angle.
<u>Measure of ∠L:</u>
By the property of isosceles trapezoid, we have;
Thus, the measure of ∠L is 62°
<u>Measure of ∠M:</u>
By the property of isosceles trapezoid, we have;
Substituting the value, we get;
Thus, the measure of ∠M is 62°
<u>Measure of ∠J:</u>
By the property of isosceles trapezoid, we have;
Substituting the value, we get;
Thus, the measure of ∠J is 118°
Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°
<em>Given - a+b+c = 0</em>
<em>To prove that- </em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
<em>Now we know that</em>
<em>when x+y+z = 0,</em>
<em>then x³+y³+z³ = 3xyz</em>
<em>that means</em>
<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>
<em>Lets solve for LHS</em>
<em>LHS = a²/bc + b²/ac + c²/ab</em>
<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>
<em>by multiplying missing denominators,</em>
<em>now take common abc from denominator and you'll get,</em>
<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>
<em>Comparing one and two we can say that</em>
<em>(a³+b³+c³)/abc = 3</em>
<em>Hence proved,</em>
<em>a²/bc + b²/ac + c²/ab = 3</em>
The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
<h3>What is the range?</h3>
The range is the difference between the maximum and minimum.
Given to us
The standard diameter of a golf ball is 42.67 mm.
The discrepancy in diameter is more than 0.002 mm.
As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.
Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm
Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm
Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
Learn more about Range:
brainly.com/question/3507706
Answer:
there are 161 calories in 28 gram,then:
one gram of dry roasted cashews contains=161/28=5.75 calories
You eat 12 gram of it, =12*5.75=69 calories
9 cashews has 12gram, then:
one gram of dry roasted cashews contains= 9/12 = 0.75 cashews
there are total of 28gram in one serving.
Therefore cashews in one serving = 0.75*28=21cashews
a)69 calories
b)21cashews
