25% off means that they are paying 75% of the original price. Multiply d by 75%:
0.75d
Now you need to multiply the price by 1 plus the sales tax to get the total cost:
0.75d x 1.08
Simplify by multiplying 0.75 by 1.08 to get:
0.81d
Answer: x=72, y=26
Step-by-step explanation:
Since a line is 180°, we can do:
2x+10+y=180
2x+y=170
Since a triangle is 180° also, we can do:
x+y+82=180
x+y=98
If we subtract x+y=98 from 2x+y=170, we get:
2x+y=170
x+y=98
x=72
If we insert x=72 into x+y=98, we get:
72+y=98
y=26
We can check our answer by inserting x=72 and y=26 into x+y+82=180
72+26+82=180
98+82=180
180=180
...
Using the Pythagorean theorem, a² + b² = c², we can solve for 'c'.
We know the length of sides 'a' and 'b', and this is all we really need to know. The angle value of angle 'c' is irrelevant to finding the length of side 'c' (which I'm assuming is the hypotenuse).
18² + 24² = c².
324 + 576 = c².
900 = c². Now find the square root of 900 to get the value of 'c'.
30 = c. <= And there is your answer.
Answer:
x=35
Angle measurements of the triangle from least to greatest:
35,40,105
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
So we know that 40+3x+x=180.
First step is to combine the like terms on the left hand side:
40+4x=180
Second step is to subtract 40 on both sides.
4x=140
Third step is to divide both sides by 4:
x=35
The angle that is given is the one that is 40 degrees.
So the angle whose measurement is x is really 35 degrees.
The angle whose measurement is 3x is real 3(35)=105 degrees.
In order from least to greatest we have:
35,40,105
Answer:
y > (1/3)x - 3.
Step-by-step explanation:
The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.
In the image, the slope of the graph from the given points is 1/3.
In the image, the y-intercept is -3.
Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!
We see the line isn’t dotted, so that means it must be > or <.
We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.
I hope this helps! :)
