Answer:
$191.69
Step-by-step explanation:
0.065 x 179.99 = 11.70
179.99 +11.70
Answer:
Solution: x = 2, y = -1 or (2, -1)
Step-by-step explanation:
Equation 1: 2x + y = 3
Equation 2: 5x - 2y = 12
Using the substitution method:
Transform the Equation 1 into its slope-intercept form:
2x + y = 3
2x - 2x + y = -2x + 3
y = 2x + 3
Substitute the value of y = -2x + 3 into Equation 2:
5x - 2y = 12
5x - 2(-2x + 3) = 12
5x + 4x - 6 = 12
9x - 6 = 12
9x - 6 + 6 = 12 + 6
9x = 18
9x/9 = 18/9
x = 2
Substitute the value of x = 2 into Equation 2 to solve for y:
5x - 2y = 12
5(2) - 2y = 12
10 - 2y = 12
10 - 10 - 2y = 12 - 10
-2y = 2
-2y/-2 = 2/-2
y = -1
Double-check whether the values for x and y will provide a true statement for both equations:
Equation 1: 2x + y = 3
2(2) + (-1) = 3
4 - 1 = 3
3 = 3 (True statement)
Equation 2: 5x - 2y = 12
5(2) - 2(-1) = 12
10 + 2 = 12
12 = 12 (True statement)
Therefore, the correct answers are: x = 2; y = -1 or (2, -1).
The correct equation of the scaled figure is given by 6/3 = 4/a
<h3>Scaling</h3>
Scaling is the process of either increasing or decreasing the size of a figure by a factor.
From the diagram attached, Figure f is a scaled copy of Figure e. Figure e is decreased to produce figure f, hence:
- AB/XY = CD / WZ
- 6/4 = 3 / a
- 6/3 = 4/a
The correct equation of the scaled figure is given by 6/3 = 4/a
Find out more on scaling at: brainly.com/question/10253650
Answer:
yr answer is G. 21
<h2>stay safe healthy and happy<u>.</u><u>.</u></h2>
Answer:
The answers are;
m = 9, e = 9
Step-by-step explanation:
The question relates to right triangles with special properties;
The given parameters of the given right triangles are;
The measure of an interior angle of the triangle = 45°
The length of the given leg length of the triangle = (9·√2)/2
The length of the other leg length of the triangle = n
The length of the hypotenuse side = m
A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal
Therefore;
The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2
∴ n = (9·√2)/2
n = (e·√f)/g
Therefore, by comparison, we have;
e = 9, f = 2, and g = 2
By Pythagoras's theorem, we have;
m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9
m = 9.
