Answer:
700
Step-by-step explanation:
Answer:
The answer to your question is x = 6
Step-by-step explanation:
Process
1.- We can prove that the triangles are congruent.
Two angles measure the same 23°
Two sides measure the same 9
Two angles measure the same the are vertical angles
The third angle measure the same
From this information, we conclude that the triangles are congruent ASA
2.- If the triangles are congruent then x = 6, the sides are congruent
This question boils down to this:
"What is the diagonal of a square with a side length of 90 ft?"
The key to this question is the properties of squares.
All of the angles in a square are right, (90°) but that diagonal is going to bisect two of those into 45° angles.
Now we have two triangles, each with angle measures of 45°, 45°. and 90°.
(an isoceles right triangle)
This 45-45-90 tirnalge is one of two special triangles (the other being the 30-60-90) and here is its special property: the sides opposite these angles can be put as x, x, and x√2 respectively. Why? Well, we know that our triangle is isoceles (the congruent base angles ⇔ congruent sides) and so we call those x...by the Pythagorean theorem...a² + b² = c²...2x² = c²...x√2 = c!
In our case here, that diagonal, being the hypotenuse of our triangle, is going to be 90√2 feet, or approximately 127.3 feet.
Answer:
J. 500 inches
Step-by-step explanation:
There are 4 sides to a square so, to find the measure of each of the lengths, u have to... 2,000 ÷ 4 = 500 inches each side length
