Select all equations that are true. O A. 53. 54 = 57 В. 26 = 22 C. 9° = 1 O D (84). = 87 O 1 E 4-2 =

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shan8747

14.12.2021

Mathematics

z=x and $\triangle ABD \cong \triangle ECD$

Step-by-step explanation:

If cos(w°) = sin(z°)

Then by trigonometric ratios of complementary angles: $\cos \theta =\sin (90-\theta)$

z=90-w.

Therefore:

In Triangle ABD, w and x are complementary angles.In Triangle ECD, y and z are also complementary angles.

Since z=90-w

Therefore: z=x; and w=y

Expressing in order of corresponding angles, we have:

In triangle ABD, starting from the right angle, we have: 90-w-x (DAB )In triangle ABD, starting from the right angle, we have: 90-y-z (DEC )

Therefore:

z=x and $\triangle ABD \cong \triangle ECD$

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Select all equations that are true. O A. 53. 54 = 57 В. 26 = 22 C. 9° = 1 O D (84). = 87 O 1 E 4-2 =​