Answer:
∠ WZX = 50°
XW is not an altitude.
Step-by-step explanation:
16. See the attached figure.
XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ
Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13
Hence, ∠ YXZ = 2 ∠ WXY
⇒ 8x + 34 = 2(10x - 13)
⇒ 8x + 34 = 20x - 26
⇒ 12x = 60
⇒ x = 5.
Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)
Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°
Hence, from Δ WXZ,
∠ WZX + ∠ WXZ + ∠ XWZ = 180°
⇒ 50° + 37° + ∠ XWZ = 180°
⇒ ∠ XWZ = 93° ≠ 90°
Hence, XW is not an altitude. (Answer)
The 6 in 621 is in the hundred's place, so alone it would equal 600.
However, the 6 in 6,420 is in the thousand's place, so it alone would equal 6,000.
The question is asking how many times smaller is the value of 6 in these two numbers. Therefore, you need to divide 6,000 by 600.
Your answer should be 10.
Answer:
<h3>
126°</h3>
Step-by-step explanation:
given <abd = 48 and <dbc = 78, hence the addition rule is true<abc = <abd + < dbc
Substituting the given values inti the formula;
< abc = 48+78
< abc = 126°
The measure of angle abc is therefore 126°
The volume of a hemisphere is 2/3 pi R^3.
1) 2/3 x 3.14 x 10^3
2)2/3 x 3.14 x 1000
3)2/3 x 3140
4) 2093.3