Answer:
∠HIJ = 57
∠IJH = 57
∠JHI = 66
Step-by-step explanation:
As a much better answer to the other guy:
You first have to find what the sum of the interior angles are. This can be found using the following expression:
<em>( n - 2 ) × 180</em>
Where 'n' is the number of sides of a polygon. Since this is a triangle:
<em>n = 3</em>
Therefore, the sum the interior angles of a triangle is 180°
Returning to the triangle, it's stated that the <u>triangle is isosceles,</u> meaning the ∠HIJ is the same as the ∠IJH (the middle point notating the position of the angle.) So then you have 3 angles with the following expressions:
∠HIJ = 5x + 2
∠IJH = 5x + 2
∠JHI = 3x + 33
Since all of the angles need to add up to 180°, we can smush them all into one big equation:
5x + 2 + 5x + 2 + 3x + 33 = 180
If you simplify everything:
13x + 37 = 180
Subtract 37:
13x = 143
Divide by 13:
x = 11
Now that you have x, plug it in to the equations above!
∠HIJ = 5(11) + 2
∠IJH = 5(11) + 2
∠JHI = 3(11) + 33
Simplify.
∠HIJ = 55 + 2
∠IJH = 55 + 2
∠JHI = 33 + 33
Again.
∠HIJ = 57
∠IJH = 57
∠JHI = 66
There you go!
Answer:
R+239=3501
Step-by-step explanation:
Add the three 1,167 values together and you get 3,501. Then, because we know a portion of the three blocks is equal to 239, add it so when we solve for R, 239 is subtracted from the total.
As for solving it,
Subtract 239 on both sides, and R is 3501-239 = <u>3262</u>
You need other ratios so we can solve it.
D, negatives of A and B cancel each other out.