The value of x is 27°.
Solution:
Given 
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Answer:
a. Yes
b. Yes
c. Yes
d. No
Step-by-step explanation:
a. Because -10x+4x=6x
b. 2(12-3x)=2*12-2*3x=24-6x
c. 24 and -6x just switched places.
d. 24x-6x=18x not 24-6x
Matching each equation of the plecewise function represented in the graph will be:
- 2 < x < 3 = 3 - x
- 0 < x < 2 = 1
- x = 2 = x
- 3 < x < 5 = 5 - x
<h3>How to illustrate the information?</h3>
It should be noted that a domain simply means the set of inputs that are accepted by the function.
In this case, the equation of the piecewise function represented is given.
The graph is attached.
Learn more about equations on:
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Answer:
cos(u) and sin(u) can be expanded in with a Maclaurin series, and cos(c) and sin(c) are constants.
Step-by-step explanation:
thats it
Answer:
X = 0
Step-by-step explanation:
BECAUSE ITS AN ABSOLUTE VALUE FUNCTION
