Answers: x = 13 and y = 11
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Let's focus on the angle expressions that have x in them.
They are adjacent angles and they form a straight line. So we consider them a linear pair. All linear pair angles always add to 180
(3x+89)+(7x-39) = 180
(3x+7x) + (89-39) = 180
10x+50 = 180
10x = 180-50
10x = 130
x = 130/10
x = 13
We'll use the same idea to find y
(3y+19)+(4y+84) = 180
(3y+4y) + (19+84) = 180
7y+103 = 180
7y = 180-103
7y = 77
y = 77/7
y = 11
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Extra info (optional section)
Let's find the measures of the four angles based on the x and y values we found.
- 3x+89 = 3*13+89 = 128
- 7x-39 = 7*13-39 = 52
- 3y+19 = 3*11+19 = 52
- 4y+84 = 4*11+84 = 128
It's not a coincidence that the 3x+89 and 4y+84 angles are equal (to 128). These are vertical angles which are always congruent. The other pair of congruent vertical angles are the 3y+19 and 7x-39 angles.
Note how 128+52 = 180 to help further confirm we have the correct values.
Another thing to notice is that all four angles add up to 360 degrees.
The set of all values for which the function is defined
2 because it's 200,000 so two hundreds of people
The appropriate measure of central tendency is one that shows
difference and is suitable for a scale that is nominal.
Response:
- The measure of central tendency to use is the <u>mode</u>.
<h3>How can the appropriate measure of central tendency be selected?</h3>
The mean is the sum of the measurements divided by the number count
of the plants.
The mode is the measurement that has the highest frequency.
The median is the measurement of the middle plant when arranged in a
given order according to size.
To argue that there is a difference between the plants, the measure of
central tendency to use is the mode, given that the data involves
measurements which can be expressed in a nominal scale.
Therefore;
- The measure of central tendency that will be best for Mrs. Hull to use is the<u> mode</u>
Learn more about the measures of central tendencies here:
brainly.com/question/1027437
We are given that:
(1) Femi earns 9.54 per hour. Therefore, if Femi works "h" hours, then, he will earn a total of 9.54h
(2) Femi earns 6.7 each time someone signs up for a credit card. Therefore, if "c" cards are sold, then, Femi will earn a total of 6.7c
Now, thw total amount of money that Femi earns "a" would be the summation of 1 and 2.
Based on the above, the equation the describes the amount Femi would earn this week is:
a = 9.54h + 6.7c