<h2>
Answer:</h2><h2>x=37.5° and angle ABC is 52.5°</h2><h2>
Step-by-step explanation:</h2>
We know that angle CBD is a right angle.
We also know that angle ABE is 180°.
Our unknown angle values are angle DBE and angle CBA.
angle CBD minus angle ABE will be 90°.
angle ABC plus angle DBE must equal 90°.
Solving for x:
(x+15)+(x)=90°
(x+15-15)+(x)=90°-15
(x)+(x)=75°
2x=75°
2x/2=75°/2
x=37.5°
Checking the work:
ABC=37.5°+15=52.5°
CBD=90°
DBE=37.5°
In conclusion, ABC plus CBD plus DBE equals 180°
<em>Hope this helped!</em>
<h3><u>Answer</u> :</h3>
![\bigstar\:\boxed{\bf{\purple{x^{\frac{m}{n}}}=\orange{(\sqrt[n]{x})^m}}}](https://tex.z-dn.net/?f=%5Cbigstar%5C%3A%5Cboxed%7B%5Cbf%7B%5Cpurple%7Bx%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%7D%3D%5Corange%7B%28%5Csqrt%5Bn%5D%7Bx%7D%29%5Em%7D%7D%7D)
Let's solve !

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<u>Hence, Oprion-D is correct</u> !
Answer:
B. (3, 0), (0, -6)
Step-by-step explanation:
Plug 0 in for each variable one at a time, and you will get both intercepts.
Answer:
1. Identifying parts of a triangle can help you find trigonometric ratios by seeing what side and angle measurements you have and if you have enough information to solve the triangle.
2. To use inverse trigonometric functions you should have to find the unknown measure of an angle of a right triangle when two side lengths are known. So, you simply use the same math as you would in trig ratios, but in a calculator you would have to click cos^-1, tan^-1, or sin^-1.
The correct order to express cos3x in terms of cosx is; As shown in steps 1 to 9 below.
<h3>How to simplify Trigonometric Identities?</h3>
The steps to simplify the trigonometric identities cos 3x in terms of cos x are as follows;
Step 1; cos x = cos(2x + x)
Step 2; cos(2x) cosx - sin(2x) sinx
Step 3; 1 - 2sin^2x(cosx) -(2sinxcosx)sinx
Step 4; cosx - 2sin²x cosx - 2sin²x cosx
Step 5; cosx - 4sin²x cosx
Step 6; cosx( 1 - 4sin²x)
Step 7; cosx{1 - 4(1 - cos²x)}
Step 8; cosx{-3 + 4cos²x}
Step 9; 4cos³x - 3cosx
Read more about Trigonometric Identities at; brainly.com/question/7331447
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