Since we know that <C is congruent to <E, we can say that: A. the two triangles are similar by SAS.
<h3>The properties of similar triangles.</h3>
In Geometry, two triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.
Ratio = BC/AC = 6/3 = 2.
Ratio = FE/DE = 4/2 = 2.
Thus, the ratio of their corresponding sides are equal in magnitude i.e BC/AC ≡ FE/DE.
Since we know that <C is congruent to <E, we can say that the two triangles are similar by side, angle, side (SAS) criterion.
Read more on congruency here: brainly.com/question/11844452
#SPJ1
Answer: Angle B measures 70 degrees
Step-by-step explanation: One angle is given as 40 while the other two angles are yet unknown.
Remember that the sum of the interior angles in a triangle equals 180 degrees. In other words
Angle A + Angle B + Angle C = 180
Therefore
40 + (2x - 30) + (x + 20) = 180
40 + 2x - 30 + x + 20 = 180
By collecting like terms we have
40 - 30 + 20 + 2x + x = 180
30 + 3x = 180
Subtract 30 from both sides of the equation
3x = 150
Divide both sides of the equation by 3
x = 50
Having calculated x = 50 we can now compute the value of angle B as follows;
When x = 50,
2x - 30 becomes
2(50) - 30
= 100 - 30
= 70.
Angle B measures 70 degrees
Answer:
6. 62
7. 72
8. 78
9. 57 = -4 ??
10. ??
Step-by-step explanation:
6. 7*8 = 56, 56+6 = 62
7. 25+11 = 36, 36*2 = 72
8. 102-16-8 = 78
Answer:
Yes they do
Step-by-step explanation:
https://www.mathwarehouse.com/geometry/triangles/triangle-inequality-theorem-rule-explained.php?alenght=8&blength=15&clength=20#triangle-inequality-theorem
This demostration shows how.
Download the app photomath it shows you step by step :)
