Answer:
x = 62.3 degrees.
Step-by-step explanation:
We should notice a certain trigonometric function that works here.
tan x = opposite side / adjacent side
tan x = 40/ 21
x = arctan (40/21) = 62.3005 degrees
x = 62.3 degrees.
Answer:
24 hours
Step-by-step explanation:
set up a ratio:
12 miles = 16 hours
------------- ------------
18 miles = x hours
cross multiply
12m * x = 16h * 18 m
solve for x
x=16h * 18m / 12m = 24 hours
Answer:
a) Similar triangles are triangles with the same shape but not necessarily the same size
b) 15/45 = 8/x
1/3 = 8/x (simplify the 15/45)
x = 8 * 3 (cross multiplication)
x = 24
c) y^2 = 15^2 + 8^2 (Pythagoras theorem)
y = *square root of* 15^2 + 8^2
y = 17
1/3 = 17/z
z = 17 * 3 (cross multiplication)
z = 51
13. (a-b)^2=a^2-2ab+b^2
B is the answer
14. B is the answer
( x+9)(x-3)= x^2+6x-27
15. B is the answer
(x+6)(x-5)=x^2+x-30
16. D is the answer
(x-6y)(x-4y)=x^2-10xy+24y^2
17. C is the answer
(2x+5)(3x-4)=6x^2+7x-20
18. B is the answer
(5x+7)(x-2)=5x^2-3x-14
Answer:
16q + 32r
Step-by-step explanation: