Answer:
A
Step-by-step explanation:
because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)
• We are told that the average height : Mean () = 65
,
• Standard deviation : SD () = 2.2
• 95 % 0f women height range = +- 3
= 65 +-3( 2.2)
= {65 + 6.6 ; 65 -6.6}
= {71.6 ; 58.4}
• This means that 95 % 0f women height will range between ( 58.4 ) and (71.6 )
A. √(0.8^2) + (0.6^2) = √1 = 1 => OK
<span>b.(-2/3,√ 5/3) = √(-2/3)^2 + 5/9) = √(4/9 +5/9) = √1 = 1 => OK
c.(√ 3/2, 1/3) = √(3/4 + 1/9) < 1 => it is inside the unit circle
d.(1,1)
= √(1 + 1) = √2 > 1 => NO. This point is beyond the limits of the unit circle.</span>
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer: 3
<u>Explanation:</u>
Since we want the least number of integers, divide by the largest integer (9).
2018 ÷ 9 = 224 remainder 2
So, N = 2999...999 <em>(there are 224 of the 9's) </em>
Thus, N + 1 = 2999...999 + 1 <em>(there are 224 of the 9's) </em>
<em> </em>= 3000...000 <em>(there are 224 of the 0's) </em>
The sum of the digits is: 3 + 0 + ... + 0 <em>(there are 224 of the 0's) </em>
= 3
