Answer:
259°
Step-by-step explanation:
Given information : In ⊙H, Arc(IK) ≅ Arc(JK), mArc(IK)=(11x+2)°, and mArc(JK)=(12x-7)°.
We need to find the measure of Arc (IJK).
Substitute the given values.
Isolate variable terms on one side.
The measure of Arc(IK) is
The measure of Arc(IJK) is
Therefore, the measure of Arc(IJK) is 259°.
It is 3,2 for sure Ik because in smart
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
Answer:
x=5,z=4.5
Step-by-step explanation:
Given the angles are right angle i.e. 90°
90-9x = 90 - 10z
9x = 10z =45°(because diagonals bisects angles)
x=45/9
=5
z=45/10
=4.5
