The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer: the area of the finished tarp is 131872 square inches
Step-by-step explanation:
Search strip of tarp is rectangular. The formula for determining the area of a rectangle is expressed as
Area = length × width
An order was placed for a rectangular tarp that will be made up of 8 strips of fabric. Each strip is 26 inches wide and 634 feet long. The area of each strip of tarp is
Area = 26 × 634 = 16484 square inches
Therefore, the area of the finished tarp would be
8 × 16484 = 131872 square inches
Answer:
D. The velocity of the bike when Jack stopped pedaling.
Step-by-step explanation:
I took a test with this question and got it right .
Answer:
x = 50°
Step-by-step explanation:
180° - 80° = 100°
100° ÷ 2 = 50°
50° + 50° + 80° = 180°
75+ 15x ≥ 140
⇒ 15x ≥ 140 -75
⇒ 15x ≥ 65
⇒ x ≥ 65/15
⇒ x ≥ 13/3
⇒ x ≥ 4 1/3
The final answer is x ≥ 4 1/3~
