Answer:
Let us say the domain in the first case, has the numbers. And the co-domain has the students, .
Now for a relation to be a function, the input should have exactly one output, which is true in this case because each number is associated (picked up by) with only one student.
The second condition is that no element in the domain should be left without an output. This is taken care by the equal number of students and the cards. 25 cards and 25 students. And they pick exactly one card. So all the cards get picked.
Note that this function is one-one and onto in the sense that each input has different outputs and no element in the co domain is left without an image in the domain. Since this is an one-one onto function inverse should exist. If the inverse exists, then the domain and co domain can be interchanged. i.e., Students become the domain and the cards co-domain, exactly like Mario claimed. So, both are correct!
X= -5/8-5/8√33 or x= -5/8+5/8 √<span>33</span>
You have two triangles, ADC and ABC.
Sides AD and AB are congruent.
Sides DC and BC are congruent.
Side AC is congruent to itself.
By SSS, triangles ADC and ABC are congruent.
Corresponding parts of congruent triangles are congruent.
That means that angles DAC and BAC are congruent.
Angles DCA and BCA are congruent.
Since m<DAC = 32, then m<BAC = 32
Since m<DCA = 41, then m<BCA = 41.
Now you know the measures of two angles of triangle ABC.
The measures of the interior angles of a triangle add to 180.
You can find the measure of angle B.
m<BAC + m<B + m<BCA = 180
32 + m<B + 41 = 180
m<B + 73 = 180
m<B = 107
Answer:
If i did the math correctly the answer to number 9 is a.5 and number 10 is c. Vanilla and German chocolate cupcakes represent about 21% of total sales
Step-by-step explanation:
for number 9 you write down each of the numbers with a dot above them. how many dots represents how many times you repeat the number. you then add it together and divide by the amount of numbers you added together. so in this case it would be 65 ÷ 12. this ends up being 5.41 but you'd round down to 5.
for number 10 you write out how many each flavor sold. then you put those numbers over the total cupcakes sold. divide the denominator by 100 and then divide the numerator by that number. then that gives you the fractions of the percent each one was. the german chocolate and the vanilla added together is almost exactly 21% of the sales
