Answer:
Step-by-step explanation:
If DE = 4x+10,EF =2X -1, and DF= 9x - 15 find DF
(de + ef ) - df = 2e || 2e/2 = e || ed - e = d || ef - e = f || f + d = df
de + ef = 6x + 11 || (6x +11) - df = -3x -6 || 2e/2 = -3x/2 - 3 || (-3x/2 - 3) - de = x/2 + 7|| (- 3x/2 - 3) - ef = -x/2 - 1|| d + f = 6
9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape, all their corresponding angles as well as sides must also be congruent to each other.
Two triangles are congruent using the side - angle - side congruency if two sides and an included angle of one triangle is congruent to that of another triangle.
In triangles DEF and OPQ, ∠D ≅ ∠O, ∠F ≅ ∠Q, and segment DF ≅ segment OQ; this is not sufficient to prove triangles DEF and OPQ congruent through SAS
Find out more on congruent triangle at: brainly.com/question/1675117
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Answer:
5) 19/4
7) 49/5
Step-by-step explanation:
