The answer is, (1, -5)...
Answer:
$0.32, so a quarter a nickel and 2 pennies
Step-by-step explanation:
Answer:
Part A) 
Part B) 
Part C) 
Step-by-step explanation:
Part A) we know that
In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse
so
substitute the values
Part B) we know that
In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse
so
substitute the values
Part C) we know that
In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A
so
substitute the values
Answer:
8x + 3
Step-by-step explanation:
In the expression -3x + 14 - 11 + 11x, we have two pairs of like terms that can be combined together:
-3x, 11x
14, -11
If we rewrite this expression with the like terms together, it would look like this:
-3x+11x + 14-11
To make the addition of -3x and 11x easier, we could switch their places in the expression to make it look like this:
11x-3x + 14-11
(Note: Even though we are switching the terms' places, the -3x still keeps its negative sign when you move it around.
11x-3x is 8x and 14-11 is 3.
Therefore, the expression -3x + 14 - 11 + 11x can be simplified by combining like terms into 8x + 3.
since line AB and CD make all right angles (given) angles 6+7+8 will equal 90 degrees.
According to the verticle angles rule:
angle 2 is equal to angle 6
angle 3 is equal to angle 7
angle 4 is equal to angle 8.
which proves that angle 2+4+7=90 degrees
