Solution:
Let the missing angle be x.
<u>It should be noted:</u>
- The two diagonals form four isosceles triangles. (ΔBOC, ΔCOD, ΔDOA, and ΔAOB)
- ∠DOA = ∠BOC = 44 (Vertically opposite angles)
- Interior angles of a triangle sum up to 180°
<u>This means that...</u>
<u>Combine like terms.</u>
<u>Subtract 44 both sides.</u>
<u>Simplify the RHS</u>
<u>Divide 2 both sides.</u>
- 2x/2 = 136/2
- => x = 136/2 = 68°
The correct answer is option D
D. 597
The solution is as following
Determinant of K = 14 *(8*5+ --1*-2) - (-13)*(3*5- (-1)*(-10)) + 0 *( 3*-2 - 8*-10)
= 14 * 38 + 13 * 5 + 0 * 74
= 532 + 65
= 597
Answer:
90 inches squared
Step-by-step explanation:
Formula for a rhombus is simply the diagonals over 2.
(The diagonals here are 12 and 15)
You could also do this intuitively. Because there is an inscribed right angle, each of the triangles inside are BH/2. Thus, the area of all four is 2BH. The base and height of each of the triangles is 6 and 7.5, so the area is 6 * 7.5 * 2.
First, all the heights have to be converted to similar units, say feet.
Therefore,
Building= 20 feet
Tree = 252*0.083333 = 21 feet
Flagpole = 6*3 = 18 feet
The tallest of the three is the tree and thus should cast the longest shadow. However, it should be noted that at exactly noon when the sun is overhead, all the three will have equal length of shadow (that is, 0 feet long).
1. y+5=-x-5
2. y=-x-5-5
3.y=-x-10
4. y=x-10
_______________________
1. distribute negative sign
2. move the constant to the right and change the sign
3. -5-5 equals -10, bring everything down
4. change the sign of the x to positive, the equation is in standard form
