Mathematics, 12.06.2021 14:00, BigCra
We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, we know that
.
Let’s assume that angles B and C are not congruent. Then one angle measure must be greater than the other. If m∠B is greater than m∠C, then AC is greater than AB by the
.
However, this contradicts the given information that
. Therefore,
, which is what we wished to prove.
Similarly, if m∠B is less than m∠C, we would reach the contradiction that AB > AC. Therefore, the angles must be congruent.
Answers: 3
Mathematics, 22.06.2019 00:00, crazylogic963
Charlie is at an amusement park that has 18 different rides. each ride costs $1.75. the function c(r) = 1.75r represents the total amount of money that charlie will spend if he goes on r rides, but he never goes on the same one more than once. what domain and range are reasonable for the function?
Answers: 3
Mathematics, 22.06.2019 01:20, GreenHerbz206
Given: δabc, m∠1=m∠2, d∈ ac bd = dc m∠bdc = 100º find: m∠a m∠b, m∠c
Answers: 2
Mathematics, 22.06.2019 02:00, hrijaymadathil
Which expression is equivalent to (5x^7+7x^8) − (4x^4−2x^8)? a. 9x^8 + 5x^7−4x^4 b. 3x^8 + 7x^7 c. 12x^8 − 2x^4 d. 5x^8 + 5x^7 + 4x^4
Answers: 1
We are given that ΔABC is isosceles with AB ≅ AC. Using the definition of congruent line segments, w...
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