Answer:
∠ D = 28°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of Δ ABE, thus
∠ EBC = 90° + 34° = 124°
BD bisects ∠ EBC, so
∠ EBD = 124° ÷ 2 = 62° , then
∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )
Answer:
A 4/605
Step-by-step explanation:
mathematics = 11 letters
P(m) = number of m's/total = 2/11
we replace it so we have mathematics = 11 letters
P(s) = number of s's/total = 1/11
not replacing it
we replace it so we have mathematic = 10 letters
P(vowel) = number of vowel/total = 4/10 = 2/5
P(m, replace,s, no replace, vowel) = 2/11* 1/11 * 2/5 = 4/605
It depends on which variable is eliminated.
If you multiply the second equation by -1 and eliminate the y:
3x - y = 7
-6x + y = -10
-3x = -3 or x = 1
If you multiply the first equation by -2 and eliminate the x:
-6x + 2y = -14
6x - y = 10
y = -4
