slope is 1/3
Explanation:
We apply the slope formula:
Answer:
X = 8
Step-by-step explanation:
The given parameter are;
The length of the segments of the chords are;
Lengths of segments in Chord 1; 5, and X
Lengths of segments in Chord 2; 4, and 10
According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;
5 × X = 4 × 10
∴ X = 4 × 10/5 = 8
X = 8.
Answer:
m∠B= 60°
Step-by-step explanation:
The given triangle has all sides equal, so it's an equilateral triangle.
Equilateral triangle is always equal to 60°
Therefore, m∠B= 60°.
~
Answer:
x = 20/49 units; P = 8 48/49 units
Step-by-step explanation:
All sides of a square are congruent.
That means that the two given side lengths are equal.
We set the two lengths equal and solve the equation for x.
5.5x = (1/5)(3x + 10)
Multiply both sides by 5.
27.5x = 3x + 10
Subtract 3x from both sides.
24.5x = 10
x = 10/24.5
x = 20/49
The perimeter of a square is 4s, where s is the length of a side.
P = 4s
= 4(5.5x)
= 4 * 5.5 * 20/49
= 22 * 20/49
= 440/49
= 8 48/49
Answer: x = 20/49 units; P = 8 48/49 units
