Answer:
C, 38°
Step-by-step explanation:
ray UW is the angle bisector of ∠VUT
--> m∠VUW = m∠WUT = 1/2 m∠VUT
<=> 4x + 6 = 6x - 10
<=> 6 + 10 = 6x - 4x
<=> 2x = 16
<=> x = 8
So, the measure of m∠WUT is: 6x - 10 = 6 . 8 - 10 = 48 - 10 = 38°
Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
<u>Congruency</u> property relates to two or more <em>triangles</em> with similar <em>dimensions</em>, and internal<u> angles</u>. So that the required <u>statements</u> to complete the proof are:
1. <em>definition</em> of a <u>straight</u> angle.
2. <u>subtraction</u> property of equality
3. <em>corresponding</em> sides of <u>similar</u> triangles are <u>proportional</u>
4.<u> transitive</u> property of <em>equality</em>.
The <u>intersection</u> of two or more lines forms a number of <em>angles</em> which depends on the <u>number</u> of lines involved. These <u>angles</u> formed may have <em>similar</em> or<em> different </em>properties.
When two or more <u>triangles</u> have <em>similar</em> lengths of <u>sides</u> and measure internal <u>angles</u>, it can be said that they are congruent. Thus they have some <u>common</u> properties.
Therefore, the appropriate <u>statements</u> to answer the given <em>question </em>are stated below:
- <em>Definition</em> of a <u>straight</u> angle.
- <u>Subtraction</u> property of equality.
- <em>Corresponding</em> sides of <u>similar</u> triangles are <u>proportional.</u>
- <u>Transitive</u> property of <em>equality</em>.
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/15835221
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Answer:
f(0.1) = 
Step-by-step explanation:
Plug x = 0.1.
Therefore f(0.1) = ln (log (0.1)).
0.1 = 10^(-1), and by the definition of log, log 0.1 = -1.
Now f(0.1) = ln (-1).
By Euler's identity, e^(i pi) = -1.
So ln (-1) would be i pi.
f(0.1) =
