Answer:
1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;
3·x + 6·y = 24
2) The equation in slope and intercept form is;
y = 4 - 0.5·x
Step-by-step explanation:
1) The given parameters are;
The amount of protein Tommy wants to eat for breakfast = 24 grams
The quantity of protein in a slice of bacon = 3 grams
The quantity of protein in an egg = 6 grams
Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat
The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;
3·x + 6·y = 24
2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;
3·x + 6·y = 24
6·y = 24 - 3·x
y = 24/6 -1/2·x
y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c
Where;
m = The slope = -0.5
c = The y-intercept = 4
The correct answer to this question is letter "C. distance." An isometry is a transformation that preserves distance. Isometry is a geometrical transformation that preserves geometrical properties such as distance. In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving injective map between metric spaces.
Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.
By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.
This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.
The total area of the given figure is then 34+6, or 40, square units.
Answer:
Step-by-step explanation:
<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>
- ∠F = ∠Q
- (2x + 10)° = (3x + 1)°
- 3x - 2x = (10 - 1)°
- x = 9°
<u>Then, the angle Q measures:</u>
