Answer:
42.3
Step-by-step explanation:
Answer:
x= 55 degrees
w = 5
Step-by-step explanation:
Triangle PQR contains two triangles, QPS and PSR.
Looking at triangle QPS, it is an isosceles triangle. This is shown by the two short lines that cuts line QP and line QS.
In an isosceles triangle, two sides and two angles are equal. The two equal angles are the base angles.
Therefore,
angle P and angle S are equal. Also
Line QP and line PS are equal. This means
6w - 10 = w
6w-w = 10
5w = 10
w = 10/2 = 5
Angle Q + 100 degrees = 180 ( sum of angles on a straight line)
Angle Q = 180 - 100 = 80 degrees
Angle Q = Angle S(base angles of an isosceles triangle)
Angle PSR = 180 - 80 = 100 degrees( sum of angles on a straight line is 180)
Angle PSR + x + 25 = 180
x = 180 - 25 - 100 = 55 degrees
<h3>Answer:</h3>
15.56 inches
<h3>Explanation:</h3>
Let L represent the leg length. Then the Pythagorean theorem tells you ...
... 22² = L² + L² . . . . the square of the hypotenuse is the sum of the squares of the other two sides
... 484 = 2L² . . . . . . . simplify
... 242 = L² . . . . . . . . divide by 2; next, take the square root
... √242 = L ≈ 15.56 . . . . inches
_____
<em>Comment on this problem in general</em>
For a hypotenuse of length H, the above equation becomes ...
... H² = L² +L² = 2L²
... H²/2 = L² . . . . . divide by 2
... H/√2 = L . . . . . take the square root (<em>general solution for isosceles right triangles</em>)
For your problem, this is ...
... (22 in)/1.414214 = L = 15.556 in
The inverse is x²+7
.......
Answer:
Exactly one triangle exists with the given conditions, and it must be an isosceles triangle.
Brainliest?
Step-by-step explanation:
Let be the measure of one angle in our triangle; since we have two equal angles in our triangle, their measure will be .
We know from our problem that at least one angle of our triangle measure 52°; since the sum o the interior angles of a triangle is 180°, we can use an equation to relate the quantities and solve for to find the measure of the tow equal angles:
Now how know that the measure of the angles of our triangle are 52°, 64°, and 64°. Since we have tow equal angles in our triangle, we can conclude that our triangle is isosceles. Notice that we don't have any given side, so the sides of our isosceles triangle can vary in length.
We can conclude that the correct answer is: C. Exactly one triangle exists with the given conditions, and all instances must be isosceles triangles.