Answer:
Options B, C and D
Step-by-step explanation:
Linear pair of angles means sum of the angles of the pair is 180° which are formed at a point of a line.
In other words, pair of supplementary angles is the linear pair.
From the figure attached,
Pair of the linear angles are,
1). ∠BAC and ∠CAD
2). ∠BAE and ∠EAD
3). ∠EAD and ∠DAC
Therefore, Options B, C and D are correct.
We know the triangle is an isosceles triangle. So, we use the Pythagorean Theorem.
a^2+b^2=c^2
The c would be 22, because it's the longest edge. Now find a or b. They are the same, that is how you find the two sides of the triangle for part A.
To find the area of the triangle, the forumla is a=hb/2
Plug in the numbers for that formula and the answer would be found for part B.
I hope I helped.
This part of the plane is a triangle. Call it

. We can find the intercepts by setting two variables to 0 simultaneously; we'd find, for instance, that

means

, so that (4, 0, 0) is one vertex of the triangle. Similarly, we'd find that (0, 5, 0) and (0, 0, 20) are the other two vertices.
Next, we can parameterize the surface by

so that the surface element is

Then the area of

is given by the surface integral

Answer:
3rd graph down
Step-by-step explanation:
greens are x and carrots are y in my equations
2x - y >= 3
x + 2y < 4
The first equation is solid and will highlight everything to the right of it because it is a >
the second is dashed and will highlight everything to the left of it because it is a <
the only 2 graphs that show this are 1 and 3
looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.
on the first graph the points are (0,4)
plugging those into our equation gives us 0 + 2*4 <4
or 8<4 which doesnt make sense making 3 the correct graph
(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)
The item(letter) that is different from the other three is H.
The other letters(A, I, E) are all vowels, while H is not.