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:
so the right answer is of option D
Step-by-step explanation:
Have a great day and hope this helps!!!
Answer:
b. 63
Step-by-step explanation:
A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.
The above answer is correct because opposite angles of a parallelogram are equal:
m∠CDA = m∠ABC
where m∠CDA = 63
∴ m∠ABC = 63 (answer)
Answer:
Not take the money
Step-by-step explanation:
Remark
They are travelling in opposite directions. Their distances will be added until that distance = 462 miles.
You need only add the r*t values together. You do not need to find the distance.
Givens
d = 462 miles
r1 = 115 mph
r2 = 95 mph
t = the time each was traveling.
Formula
r1 * t + r2*t = d
Substitute and solve
95 * t + 115 * t = 462 Add the like terms on the left.
210 * t = 462 Divide by 210
t = 462 / 210
t = 2.2 hours.
t = 2 1/5 hours
t = 2 hours and 12 minutes
All three answers are the same.
