Answer:
Step-by-step explanation:
To start, we need to find our slope!
We have two points, (-5, -4) and (0,-7).
We can see that our line has to go down 3 and right 5.
Because the line is going down and right, we will have a negative slope.
Using the slope formula , we can input our trackings and have a slope of .
Next, we need to find our y-intercept, which is where the line crosses the y-axis. As it crosses the y-axis at -7, -7 is our y-intercept!
Now we can plug our data into slope-intercept form, y=mx+b!
Answer:
<em>468 square feet; Option C</em>
Step-by-step explanation:
We can see that the base of this triangular prism has dimensions 15 feet by 10 feet, so for starters let us compute the area of this base:
Area ⇒ 15 * 10 = 150 ft^2
Now the rectangular surface next to this base, has dimensions 9 feet by 10 feet, provided that 9 feet is a uniform height of the triangular prism:
Area ⇒ 9 * 10 = 90 ft^2
This third rectangle is provided with one dimensions, of 10 feet. If we were to imagine what part of the 3-d shape is is, it would in fact be the slanted top. To find the second dimension, you would imagine it to be 12 feet. Using that, the area of this rectangle is thus ⇒ 10 * 12 = 120 ft^2
Now the two triangles at the corners each have an area of ⇒ 1/2 * base * height = 1/2 * 12 * 9 = 6 * 9 = 54 ft^2, so they have a total area of ⇒ 108 ft^2
This means the surface area of the right, triangular prism is:
150 + 90 + 120 + 108 = <em>Answer: 468 square feet</em>
Answer:
There are two solutions for x;
x = 0
x =
Step-by-step explanation:
Answer:
∠2 and ∠5 should not be Alternate exterior angles. ∠2 and ∠11 can be Alternate exterior angles if that is an option. The rest is correct. As for consecutive interior angles, you have (∠3 and ∠9), (∠4 and ∠10), (∠7 and ∠13) and (∠8 and ∠14).
Step-by-step explanation:
Alternate exterior angles are basically like the angles that are the combination of a vertically opposite angle and a corresponding angle. Since the vertical lines are not parallel, ∠2 and ∠5 cannot be Alternate exterior angles.
Consecutive interior angles are any pair of angles that are within a pair of parallel lines and add up to 180°.