Lines cd and ce are tangent to circle a. if m∠dae = 130°, what is the measure of ∠dce?

The measure of ∠DCE = 50°

Step-by-step explanation:

Given:

m∠ DAE = m∠ A = 130°

As lines CD and DE are tangent to circle at the point of contact D and E.

So for a tangent at point of contact the measure angle is 90°

∴ m∠ D =  m∠ E = 90°

To Find:

m∠ C = ∠ DCE = ?

Solution:

As lines CD and DE are tangent to circle at the point of contact D and E.

So for a tangent at point of contact the measure angle is 90°

∴ m∠ D =  m∠ E = 90°

AECD is a quadrilateral.

m∠ A + m∠ E + m∠ C + m∠ D =360° {Sum of angles of Quadrilateral is 360°}

substituting the given values we get

130 + 90 + m∠ DCE + 90 = 360°

∴ m∠ DCE + 310 = 360°

∴ m∠ DCE = 360 - 310

∴ m∠ DCE = 50°

Therefore the measure of ∠ DCE is 50°

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation: