Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinXZY = 
= 
= 
, then
∠ XZY = 
( ) ≈ 23.6° ( to 1 dec. place )
On the 7th, Andi had $48 in her account. We want to find when she had $92 less than what she had on the 7th.
First, let's find out how much $92 less is:
48 - 92 = -44
We are looking for when Andi had $-44 in her account. Looking at the number line, the day Andi had $-44 in her account was on the 14th.
The correct answer is C. The 14th.
Hope this helps!! :)
Answer:
The equation of the line would be y = -3/2x + 9
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 6 = -3/2(x - 2)
y - 6 = -3/2x + 3
y = -3/2x + 9
Answer:
x = 1.5
Step-by-step explanation:
Given
Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if , then
Multiply both sides by 2
Similarly;
Multiply both sides by 2
Merging these results together; to give
This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
