Answer:
x = 16
m<Y = 34°
Step-by-step explanation:
∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:
<X = <Z
(6x - 23)° = (4x + 9)
Solve for x
6x - 23 = 4x + 9
Collect like terms
6x - 4x = 23 + 9
2x = 32
Divide both sides by 2
x = 16
m<Y = 180° - (m<X + m<Z) (sum of ∆)
m<Y = 180 - ((6x - 23) + (4x + 9))
Plug in the value of x
m<Y = 180 - ((6(16) - 23) + (4(16) + 9))
m<Y = 180 - (73 + 73)
m<Y = 34°
Salutations!
Let the number be

The equation would be:

Lets solve this!
We need to always keep the variables aside, and the numbers aside.


Hope I helped (:
Have a great day!
Answer:
90°
Step-by-step explanation:
Circle C has radius √36 = 6
Circle D has radius √18 = 3√2
As the D radius intersecting either point of tangency, does so at a right angle.
The half angle θ between the tangents is
sinθ = 3√2 / 6 = ½√2
θ = 45°
so the angle between the tangents is 2(45) = 90°

so
(this is wrong because
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