Answer:
60°
please look into the solution down here.
Step-by-step explanation:
since BD bisects it, then the angles should be bisected symmetrically, or in other words, ANGLE ABD = angle DBC,
hence,
4x = 2x +30
2x = 30
x = 15
therefore, angle DBC = 2x + 30 = 2(15) + 30 = 60°.
Answer:
First we need to calculate the distance between Clifton and Burlington by using Pythagorean theorem:
x² + 65² = 97²
=> x² = 97² - 65²
=> x² = 5184
=> x = √5184 = 72 (m)
The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137 (m)
We have: 137 - 97 = 40 (m)
So it is 40 m closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington
Eight should be the answer you are looking for.
Answer:
b. 
Step-by-step explanation:
Given expression is:

Let us factorize the numerator using the formula:


Since x ≠ 3, let us cancel the common factor x - 3 in the numerator and in the denominator.
So, 
There is a 1/8 or a 16.6% chance that the card you pick will be red.
Hope this helps.