Step-by-step explanation:
the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)
since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles
Topic: angle properties
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
$60 because he already bought the game but for other game $48
A) x + y = 17
B) x - y = 27
Adding both equations:2x = 44
x = 22
y = -5
Answer:
1861.39 cm²
Step-by-step explanation:
Given:
d = 15 cm
radius (r) = ½(15) = 7.5 cm
Height = 32 cm
Surface area of a cylinder = 2πrh + 2πr²
Plug in the values
Surface area = 2*π*7.5*32 + 2*π*7.5²
= 1861.39 cm²
Answer:
Step-by-step explanation:
3ab + 7a² + 2b² - (7a² - 4ab + 2b²) = 3ab + 7a² + 2b² - 7a² + 4ab - 2b²
Now combine like term. Like terms have same variable with same power.
= <u>3ab + 4ab</u> <u>+ 7a² - 7a²</u> + <u>2b² - 2b²</u>
= 7ab