All categories

3 years ago

Find the area and perimeter of the following triangle with the given vertices:

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

5 0

Find the area and perimeter of the following triangle with the given vertices:
(1, 2), (8, 2) and (3, 6)

You might be interested in

The number of students who chose lunch was 5 more than the number of students who chose breakfast. Write a system of linear equa

Papessa [141]

Answer:

The system of linear equations are $y=5+x$ and $x+y=25$

Step-by-step explanation:

Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.

(50 students picked, 25 picked dinner the rest picked lunch and breakfast)

To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?

Solution :

The number of students who chose breakfast be 'x'

The number of students who chose lunch be 'y'.

The number of students who chose lunch was 5 more than the number of students who chose breakfast.

i.e. $y=5+x$

Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.

So, $x+y=25$

Therefore, the system of linear equations are $y=5+x$ and $x+y=25$

4 0

3 years ago

The sum of two exterior angles of an isosceles triangle is equal to 240°. What are the measures of the interior angles? THERE AR

Alla [95]

Dang that’s crazy, send me some pics and you got a deal

8 0

3 years ago

Jacob transformed quadrilateral FGHJ to F'G'H'J'.

Rudik [331]

Answer:

A. Reflection across the line x = 1

Step-by-step explanation:

Please find the attachment.

We have been given that Jacob transformed quadrilateral FGHJ to F'G'H'J'. We are asked to find which transformation Jacob used to reflect FGHJ to F'G'H'J'.

Since we know that while reflecting a figure, the line of reflection will lie between the original figure and reflected figure. Each point of the reflected figure will have the same distance from the line of reflection as the corresponding point of the original figure.

Now let us see our given choices one by one.

A. Reflection across the line x = 1.

Upon looking at point G and G' we can see that both points are equidistant (2 units) from the line x=1. Other corresponding points of both quadrilaterals are also equidistant from line x=1, therefore, Jacob used the reflection across the line x=1 to transform quadrilateral FGHJ to F'G'H'J'.

B. Reflection across the line y = 1 .

If Jacob had reflected quadrilateral across line y=1, the points of quadrilateral F'G'H'J' will lie in second and third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option B is not a correct choice.

C. Reflection across the line y-axis.

If Jacob had reflected quadrilateral across y-axis, the coordinates of points of quadrilateral F'G'H'J' will be G'(1,4), H'(1,2), J'(4,0) and F'(2,5). Therefore, option B is not a correct choice.

D. Reflection across the x -axis.

If Jacob had reflected quadrilateral across x-axis, the points of quadrilateral F'G'H'J' will lie in third quadrant. We can see from our graph that F'G'H'J' lies in 1st quadrant, therefore, option D is not a correct choice.

3 0

3 years ago

Solving for b in this problem

kipiarov [429]

Answer:

b = 3

Step-by-step explanation:

1. Subisitute P, a, and c (P = 41, a = 19, c = 19 ) into the equation:

P = a + b + c -> 41 = 19 + b + 19

2. Combine like terms:

41 = 38 + b

3. Isolate the variable by subtratcing 38 from both sides

41 - 38 = 38 -38 + b -> 3 = b

6 0

4 years ago

Read 2 more answers

What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equati

ollegr [7]

Answer:

the answer is A ..............

8 0

2 years ago