Answer:
Choice A is the correct answer
Step-by-step explanation:
To evaluate the limits, we simply perform direct substitution; substitute -infinity into each expression in the alternatives and then simplify the expression. Notice that only the expressions in alternative A will fit this criteria since they will be tending to -infinity as x approaches -infinity.
Answer:
10.8333......
Step-by-step explanation:
First 65 divided by 6 is equal to 10.8333......
So the answer was 10.8333......
Answer:
x = 34°
Step-by-step explanation:
Given AC and BD are perpendicular bisectors, we can say that at point E, there are 4 right angles [perpendicular bisectors intersect to create 4 90 degree angles].
Now, if we look at the triangle AED, we know that it is a right triangle, meaning that angle E is a right angle.
Also,
We know sum of 3 angles in a triangle is 180 degrees. Thus, we can write:
∠A + ∠E + ∠D = 180
<em>Note: Angle A and Angle D are just the half part of the diagram. More exactly we can write:</em>
∠EAD + ∠ADE + ∠DEA = 180
Given,
∠EAD = 56
∠DEA = 90
We now solve:
∠EAD + ∠ADE + ∠DEA = 180
56 + ∠ADE + 90 = 180
146 + ∠ADE = 180
146 + x = 180
x = 180 - 146
x = 34°
Answer:
8 7/24
Step-by-step explanation:
These are mixed fractions first you need to convert them
4 5/8= 37/8
3 2/3= 11/3
Take LCM of 3 and 8 which 24.
Multiply 37/8 with 3= 111/24
Multiply 11/3 with 8= 88/24
Now add both fractions
111/24 +88/24 =199/24
This is an improper fraction. Divide 199 by 24 to change this into mixed fraction
8 7/24
