<h3>
Answer: Angle C is 76 degrees</h3>
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Explanation:
Since AE = BE, we know that triangle ABE is isosceles with A = B as the congruent base angles (it might help to rotate the triangle 90 degrees clockwise). The congruent base angles are always opposite the congruent sides of an isosceles triangle.
Focus on triangle ABE. Let's find the missing angle E.
A+B+E = 180
55+55+E = 180
110+E = 180
E = 180-110
E = 70
So angle BEA = 70 degrees
This means angle DEC is also 70 degrees. Angles BEA and DEC are congruent vertical angles.
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Now focus on triangle DEC. We just found E = 70. The diagram shows D = 34. Use these items to find C
D+E+C = 180
34+70+C = 180
104+C = 180
C = 180-104
C = 76
Angle C is 76 degrees
28 is 140% of 20
Hope this helps!
Answer:
Angle DBF = 92 degrees
Step-by-step explanation:
From the information given, we can see that we can use the triangle mid segment theorem and conclude that all 4 small triangles are congruent to each other. Therefore, all corresponding angles are also congruent to each other. Since DBF and EFC are corresponding angles and we already know that EFC is 92 degrees, DBF must also be 92 degrees.
Answer:
x+2 < 11 and -x-2 < 11
Step-by-step explanation:
absolute value function has two solution
|x| = a
Then x=a and - x= a
|x + 2| < 11
Then x + 2 < 11 and -(x + 2) < 11
x + 2 < 11 and -x - 2 < 11
ANSWER
The scale factor is
EXPLANATION
The given triangle has vertices,
.
The vertices of the image triangle is,
.
The scale factor is given by
So we can use any of the corresponding sides to determine the scale factor,
Or
Or
The correct answer is C