The answer is 38, because if you take away the 15 he bought afterwards (34-15) you get 19, and then since he sold half his collection you would double that (19×2) and that's 38.
Answer:
f(2) = 9
Step-by-step explanation:
It's give in the question,
Two different functions are,
f(x) = 4x + 1
g(x) = -2x
Then we have to find the output value of function 'f' for the input value x = 2.
By substituting the value of x in the function 'f',
f(2) = 4(2) + 1
= 9
f(2) = 9
10 x 3 x 2 = the volume
10 x 3 = 30
30 x 2 = 60 cm^3
it is cm^3 because all of the numbers you have are in cm
The second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
<h3>What is the box and whisker plot?</h3>
A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have given a data set and a box plot shown in the picture.
From the boxplot we can see:
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
The second data set:
{2, 3, 3, 4, 5, 5, 8, 10, 10}
Minimum value = 2
Q1 = (2+4)/2 = 3
Median = (4+6)/2 = 5
Q3 = (8+10)/2 = 9
Maximum value = 10
Thus, the second data set represents the boxplot because in the box plot the measure of statistics is the same as the data set option second is correct.
Learn more about the box and whisker plot here:
brainly.com/question/3209282
#SPJ1
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
