In triangle ABC, angle A is a right angle and m angle B =45 degrees

40% of the students passed both exams. 80% of the students passed the second exam. how many students (in percent) who passed the

navik [9.2K]

50%. students (in percent) who passed the second exam also passed the first exam.

Let's imagine that there are 100 kids in the teacher's class. We know that 40 of them passed BOTH tests, and 80 passed the second test.

Because if they weren't, they wouldn't have passed the first test and consequently wouldn't have passed both, we can be sure that the group of students who passed BOTH tests is only made up of the 80 who passed the second test.

Thus, both tests were passed by 40 of the 80 pupils who passed the second one:

40/80 = 1/2 = 50%.

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7 0

1 year ago

What is the remainder when (x^3 1) is divided by (x^2 – x 1)? x 1 x 2 0

labwork [276]

Hello,
$x^3+1=(x+1)(x^2-x+1)\\
Remainder\ is \ 0\\\\

$

Answer D

4 0

3 years ago

Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).

Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

$m_1=\frac{7-0}{3-0}=\frac{7}{3}$

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)$

The slope of the line joining E(7,0), and F(3,7). is:

$m_1=\frac{7-0}{3-7}=-\frac{7}{4}$

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

$y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)$

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0

3 years ago

The range, a measure of variability, Group of answer choices is the difference between the largest (L) and smallest (S) value in

Vlad [161]

The correct answer is all of the above.

Why is the range the most convenient measure of variability?

Your data's spread from the lowest to the greatest value in the distribution is indicated by the range.
The calculation of this variability index is the simplest.
Simply subtract the lowest value from the highest value in the data set to determine the range.

How do you find the range?

The difference between the lowest and highest values in a list or set is known as the range.
Put all the numbers in order before determining the range. The lowest number should then be subtracted from the highest.
The range of the list is provided in the response.

Learn more about range

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4 0

1 year ago

The graph of 3x - 5y = 12 is shown on the grid. Which ordered pair is in the solution set of 3x - 5y 2 12? es ) A) (0,5) B) (5,0

KiRa [710]

Answer:

C

Step-by-step explanation:

4 0

3 years ago

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