Answer:
3
Step-by-step explanation:
The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:
AB * x = DE
where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:
5x = 15
x = 3
Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.
The slope of the line is: m=(5-0)/(-3-2)=-1
y=-x+b
find out b by using a point: 0=-2+b, b=2
so the equation of the line is y=-x+2
it is dotted, so they should be an equal sign.
the shaded part is to the right, above the line, so it is a >
the inequality is y>-x+2
Answer:
There are 10 cards in total.
The probability of choosing card with the number 4 is 1/10.
The probability of choosing card with the number 1 is 2/10 = 1/5 (since there are 2 cards with the digit 1 - 1, 10)
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE
<h3>
What is a sophomore?</h3>
- A sophomore in the United States is a student in their second year at an educational institution, usually a secondary school or a college or university, but also other types of post-secondary educational institutions.
- A sophomore in high school is equivalent to a tenth-grade or Class-10 student.
- In sports, a sophomore is a professional athlete in their second season.
As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.
So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.
Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.
Know more about sophomore here:
brainly.com/question/23382435
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The complete question is given below:
Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:
"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."
