Step-by-step explanation:
Multiply the first equation by 7 and the second by 2
Answer : 46°
These two angles have the same measure because they are alternate interior angles.
If you plot the triangle on a graph, you'll see that the shape is a right triangle. Using the distance formula we can calculate the distance between point A and point B, which is the hypotenuse.
√<span><span><span>(<span>2− (−2)</span>)^</span>2 </span>+ <span><span>(<span>4−1</span>)^</span>2
</span></span>√<span><span><span>(<span>2+2</span>)^</span>2 </span>+ <span><span>(<span>4−1</span>)^</span>2
</span></span>√<span><span><span>(4)^</span>2 </span>+ <span><span>(3)^</span>2
</span></span>√<span><span>6+9
</span>√</span><span><span>25
</span>= 5
5 + 6 + 8 = 19. The perimeter of triangle ABC is 19 units. Hope this helps:)
~Ash</span>
L x W = 105
L + W = 26 so L = 26 - W
substitute L = 26 - W into L x W = 105
(26 - W) x W = 105
26W - W^2 = 105
W^2 - 26W + 105 = 0
(W - 21)(W - 5) = 0
W - 21 = 0; W = 21
W - 5 = 0; W = 5
The the dimensions of the rectangle are 5 ft and 21 ft.
Double check:
The sum of the length and the width is 26 feet: 21 + 5 = 26 feet
A rectangle has an area of 105 square feet: 21 x 5 = 105 square feet
