Help me with this khan acadamy question

x° = 100°

Solution:

The reference image to the answer is attached below.

Given ∠AOC = 100°, ∠BOD = x°

To find the value of x°:

∠AOC and ∠BOD are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting each other, then vertically opposite angles are congruent.

In the given image line AB and line CD are intersecting angles.

They intersect at point O.

By vertical angle theorem, they are congruent.

⇒ ∠AOC ≅ ∠BOD

⇒ m∠BOD = 100°

⇒ x° = 100°

Hence the value of x° is 100°.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl