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➷ Angle XBC = 55 degrees because corresponding angles are equal
b) We already know angle XBC
Angle XCB = Angle XBC because isosceles base angles are equal
Therefore, angle XCB = 55 degrees
Angles in a triangle equal 180 degrees
180 - (55 + 55) = 70
Angle BXC = 70 degrees
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Answer:
1 3/4
Step-by-step explanation:
First write the equation in mixed fraction form as;
1 3/4 + 1 1/3 = 1 _/12 + 1 4/12 ⇒ 7/4 + 4/3 = _ + 16/12
7/4 + 4/3 = _ + 16/12
37/12 = _ + 16/12
37/12 - 16/12 = _
= 21/ 12
= 1 9/12
= 1 3/4
Answer:
B {6, 6, 7}
Step-by-step explanation:
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;
Let the side be ;
x, y and z
Then:
x > (y + z) or
y > (x + z) or
z > (x + y)
For A{2,5,9}
(2 + 5) < 9 (does not meet criteria)
For B {6,6,7}
(6 +6) > 7
(7 +6) > 6
Meets all criteria
For C {6,4,2}
(4 +2) is not greater Than 6 (does not meet criteria)
For D {7,8,1}
(7 +1) is not greater Than 8 ( does not meet criteria)
