Answer: 1215 miles
Step-by-step explanation:
405 miles in 5 hours is 81 mph so you multiply that mph by the amount of hours you want (15) so 81 x 15 = 1215
Given:
square shape
Perimeter 28 feet
Find its area
A square has 4 equal sides, so perimeter is 4a
Perimeter = 4a
28 ft = 4 a
28 ft / 4 = a
7 = a
One side of the the square is 7 ft.
Area of a square is the measure of one side raised to the power of 2.
A = a²
A = (7 ft)²
A = 49 ft²
The perimeter of the equilateral triangle will be 76.2 in
<u>Explanation:</u>
Altitude of an equilateral triangle, H = 22 in
Perimeter, p = ?
Let a be the side of the triangle
We know:
![H = \frac{a\sqrt{3} }{2} \\\\22 = \frac{a\sqrt{3} }{2} \\\\a = 25.4 in](https://tex.z-dn.net/?f=H%20%3D%20%5Cfrac%7Ba%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5C%5C%5C%5C22%20%3D%20%5Cfrac%7Ba%5Csqrt%7B3%7D%20%7D%7B2%7D%20%5C%5C%5C%5Ca%20%3D%2025.4%20in)
Perimeter = 3a
P = 3 X 25.4 in
P = 76.2 in
Answer:
The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.
Step-by-step explanation:
There are no angles that can be shown to be congruent to one another, so this eliminates all answer choices with angles (SSA, SAS, ASA, AAA, AAS).
This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.
This leaves you with the SSS Theorem.