Answer:
True
Step-by-step explanation:
Rays have one endpoint and one arrow, which means that they extend forever in one direction.
Answer:
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Step-by-step explanation:
From the figure, it is clear that:
m∠KIH = m∠HIJ + m∠KIJ
Given
now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation
m∠KIH = m∠HIJ + m∠KIJ
68° = (2x + 6)° + (9x - 4)°
switch sides
Group like terms
Subtract 2 from both sides
Simplify
Divide both sides by 11
Simplify
Hence, the value of x = 6
Therefore,
m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°
m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°
∴ m∠KIJ = 18° and m∠HIJ = 50°
Thus, option a is correct.
Answer:
left 1 unit, reflection about the x-axis, up 1 unit
Step-by-step explanation:
This is a cubic that has been moved left 1 unit because of the (x+1)^3 part.
It also has been moved up one unit because of the plus 1 on the outside of the cube.
There has also been a reflection across the x-axis because of the -1 in front of the -(x+1)^3 part.
In general, g(x-h)+k means:
1) the function g has been moved right (if h is positive) or moved left (if h is negative).
2) the function g has been moved up (if k is positive) or down (if k is negative)
Answer:
-11x
Step-by-step explanation:
-10x - x
Due to -10x being negative, you would add -x and it would then be -11x.
Answer:
24,880
Step-by-step explanation:
A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:
A= 11,000e(0.048x17) = 24,875.80
round and you get 24,880
i hope this helps