What is the measure of angle x? Enter your answer in the box. m∠x=
2 answers:
Answer:
Measure of angle x is 47°.
Step-by-step explanation:
We are given a triangle with measure of two angles given as 102° and 31°.
We have to find the value of third angle .
Angle sum property of a triangle states that the sum of angles of a triangle is always 180°
Lets name the triangle first as ΔABC,
Applying angle sum property
∠A + ∠B + ∠C = 180°
Substitute the values, we get,
x°+ 102° + 31° = 180°
x°+ 133° = 180°
x°= 180° - 133°
x° = 47°
Thus, measure of angle x is 47°.
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The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is
Where a is the first term, n is the nth term, d is the common difference
On substituting there values,we will get
= 15(84000+52200) = 15*136200 =2043000
And for company A, it is
Difference between them =2043000-2002500= 40500
So the correct option is the second option .
Answer:
5 pints per hour.
Step-by-step explanation:
Morning:
Given:
Number of strawberries packed in every 4 minutes = 3
∴ Number of strawberries packed in every one minute =
So, number of strawberries packed in every 60 minutes =
1 hour = 60 minutes.
So, strawberries are packed at a rate of 45 pints per hour in the morning.
Afternoon:
Number of strawberries packed in every 3 minutes = 2
∴ Number of strawberries packed in every one minute =
So, number of strawberries packed in every 60 minutes =
1 hour = 60 minutes.
So, strawberries are packed at a rate of 40 pints per hour in the afternoon.
Difference between the packing rates is given as:
Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.
So, she packed 5 more pints in one hour in the morning than in the afternoon.