First one.
Since the two angles are congruent through vertical angles theorem,
5x = 6x - 8
5x - 6x = -8
-x = -8
x = 8
Second one.
Use the 180° rule.
(8x - 2) + (2x + 2) = 180
8x - 2 + 2x + 2 = 180
8x + 2x + 2 - 2 = 180
10x = 180
x = 180 / 10
x = 18
Third one.
Vertical angle theorem.
7x = 5x + 40
7x - 5x = 40
2x = 40
x = 40 / 2
x = 20
Answer:
the distance formula is just the pythagorean theorem, A^2+B^2=C^2, or the distance, C=sqrt(A^2+B^2). In order to find any point between 50 and 60 units away, simply choose a set of coordinates that will satisfy the equation using the given point, (7, -2), where abs(7-x) is A and abs(y-2) is B. for example, let x =60 and y=0, then C=sqrt(53^2+(-2)^2) =52.96 ish. which is between 50 and 60.
Step-by-step explanation:
Answer:
15.0176678445
Step-by-step explanation:
Sorry if these are not correct, but this is what i came up with
1. -36 is less
2. Decimal is 0.12 and fraction is 3/25
3. About 3 1/3 quartz of paint (not too sure)
4. Commutative property of addition
5. Associative Property of multiplication
6. Additive identity
7. Distributive property
8. Multiplicative Property of Zero
The answer is <a is congruent to < d
because you already have <abe = <dbe
