Find the value of F (0)=
1 answer:
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Answer:
see explanation
Step-by-step explanation:
(1)
Since FE = FG the triangle is isosceles with ∠ E = ∠ G, then
∠ E = =
= 37°
(2)
Since all 3 sides are congruent then triangle is equilateral with the 3 angles being congruent, 60° each , then
12y = 60 ( divide both sides by 12 )
y = 5
(3)
The 3 angles are congruent then triangle is equilateral with the 3 sides being congruent, then
KL = JL , that is
4t - 8 = 2t + 1 ( subtract 2t from both sides )
2t - 8 = 1 ( add 8 to both sides )
2t = 9 ( divide both sides by 2 )
t = 4.5
(4)
Given ∠ B = ∠ C then triangle is isosceles with 2 legs being congruent , that is
AB = AC
4x + 1 = 9 ( subtract 1 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
Then
perimeter = AB + BC + AC = 4x + 1 + 2x + 3 + 9
= 6x + 13
= 6(2) + 13
= 12 + 13
= 25
Answer:
The question is not complete, below is a complete question with the accompanying diagram:
Instructions: Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
AB is parallel to CD, and EF is perpendicular to AB
The number of 90° angles formed by the intersections of Ef and the two parallel lines AB and CD is ____
Answer:
The number of 90° angle formed = 8 angles
Step-by-step explanation:
From the question and attached diagram, the following information is given:
AB is parallel to CD
EF is perpendicular to AB
Required: number of 90° angles formed by the intersection of the perpendicular line and the parallel lines.
<em>Note, the angle formed between a line and a perpendicular line = 90°</em>
From the diagram:
Number of 90° angle formed by intersection of perpendicular line EF and line AB = ∠1, ∠2, ∠3 and ∠4 = 4 angles
Number of 90° angle formed by intersection of perpendicular line EF and line CD = ∠5, ∠6, ∠7 and ∠8 = 4 angles
Total 90° angles formed by perpendicular line with lines = ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 = 8 angles
