Answer:
Slope AB = -3/2
R = (4, -7)
Step-by-step explanation:
AB (-6 , 8) and (-2 , 2)
Slope AB = (8 - 2) /(-6 + 2) = 6/-4 = -3/2
Triangle QRS , QR is half of AB, same orientation and given Q (2 , -4) so R = (4, -7)
Answer:
Paint set cost = 10.5 , Sketch book cost = 7 , Brush cost = 1.75
Step-by-step explanation:
Let the cost of paint set be = p
Cost of sketchbook 's' = (2 / 3) p
Cost of brush 'b' = 1/4th of s = 1 / 4 [ (2 / 3) p ] = (1 / 6) p
Total expenditure = Money bought - Money left = 23.25 - 4 = 19.25
Total expenditure = Cost of (pen + of sketchbook + of brush) = p + s + b
= p + (2 / 3) p + (1 / 6) p = 19.25 → p + 2p / 3 + p / 6 = 19.25
( 6p + 4p + p ) / 6 = 19.25 → 11p / 6 = 19.25 → p = ( 19.25 x 6 ) / 11
p = 10.5 ; s = (2 / 3) p = 2 / 3 (10.5) = 7 ; b = (1 / 6) p = 10.5 / 6 = 1.75
Answer:
Below.
Step-by-step explanation:
Convert to sin's and cos's:-
(secx + tanx)(1-sinx)/cosx)
= ( 1/ cos x + sinx / cos x) * ( 1 - sin x )/ cos x)
= (1 + sin x) / cos x) * ( 1 - sin x ) / cos x
= (1 - sin^2 x) / cos^2 x
But 1 - sin^2 x = cos^2 x
so we have
cos^2 x / cos^2 x which = 1.
Answer:
Step-by-step explanation:
Given: DE║BC
To prove: 
Statements Reasons
1). DE║BC 1). Given
2). ∠1 ≅ ∠4, ∠3 ≅ ∠4 2). Corresponding angles theorem
3). ΔADE ~ ΔABC 3). AA Similarity theorem
4). 
4). Corresponding sides are proportional
5). 
5). Segment addition postulate
6). 
6). 
7). 
7). Subtract 1 from both sides
8). 8). Take the reciprocal of both sides
The answer is A. To add fractions, the denominator has to be the same. What number do 9 and 3 share when multiplying ? It is 9.
So multiply 2/3 by 3/3 to get 6/9. And 1/9 by 1/1 to get 1/9. Now add 6/9 with 1/9 which is 7/9
Now add 7/9 with 5/18. 9 and 18 share 18. Multiply 7/9 by 2/2 which is 14/9. Add 14/9 to 5/18 which is 19/18
