Part a: The value of x is 33°
Part b: The measure of each base angle is 69°
Explanation:
It is given that the vertex angle of an isosceles triangle measures 42°.
The base angle in the triangle has a measure of 
Part a: To determine the value of x
Since, in an isosceles triangle the base angles are always equal.
Thus, the three angles in an isosceles triangle add up to 180°
Hence, we have,
Thus, the value of x is 33°
Part b: To find the measure of each base angle.
Base angle = 
Substituting , we get,
Thus, the measure of each base angle is 69°
Leaking water has the rate of 2 gal per 5 minutes which is the same as :
2 gal ÷ 5 minutes = 0.4 gal/minute
Then we multiply it by the number of minutes which is 23 as follows :
0.4 gal/minute × 23 minutes = 9.2 galons wasted during the 23 minutes
Median is the central tendency of the data and always exists in the middle of the data set.
<h3>What is the median?</h3>
The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.
The process of finding the median if the number of data points is even is as follows:
- Put the numbers or the data points in the order(increasing or decreasing i.e. ascending or descending order)
- Next cross of the high/ low pairs
- Add the leftover numbers
- and divide the number( as obtained in the above step by 2)
( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)
To know more about median follow
brainly.com/question/26151333
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Answer:
Lola used 3/4 more ink cartridges than her friends
Step-by-step explanation:
Add the coefficients of like terms.
a) (6x³ +8x² -2x +4) + (10x³ +x² +11x +9)
= (6+10)x³ + (8+1)x² + (-2+11)x + (4+9)
= 16x³ +9x² +9x +13
b) (16x³ +9x² +9x +13) + (3x -2)
= 16x³ +9x² + (9+3)x + (13-2)
= 16x³ +9x² +12x +11
