Answer:
x° = 37°
Step-by-step explanation:
* Lets revise some facts of a circle
- The secant is a line intersect the circle in two points
- If two secants intersect each other in a point outside the circle,
then the measure of the angle between them is half the difference
of the measures of their intercepted arcs
* Now lets solve the problem
- There is a circle
- Two secants of this circle intersect each other in a point outside
the circle
∴ The measure of the angle between them = 1/2 the difference of the
measures of their intercepted arcs
∵ The measure of the angle between them is x°
∵ The measures of their intercepted arcs are 26° and 100°
- Use the rule above to find x
∴ x° = 1/2 [ measure of the large arc - measure of small arc]
∵ The measure of the large arc is 100°
∵ The measure of the small arc is 26°
∴ x° = 1/2 [100 - 26] = 1/2 [74] = 37°
∴ x° = 37°
Answer:
See explanation and results below.
Step-by-step explanation:
We have the following data:
Age (yr) when award was won Frequency 25-34 31 35-44 36 45-54 12 55-64 4 65-74 6 75-84 1 85-94 2
If we order the data we got the following result. We assume that the midpoint is given by:

The 
And the limits are given by the lower and upper limit.
L.Limit U.Limit Class W Midpoint Frequency Limits
25 34 34-25=9 29.5 31 [25-34]
35 44 44-35=9 39.5 36 [35-44]
45 54 54-45=9 49.5 12 [45-54]
55 64 64-55=9 59.5 4 [55-64]
65 74 74-65=9 69.5 6 [65-74]
75 84 84-75=9 79.5 1 [75-84]
85 94 94-85=9 89.5 2 [85-94]
Answer: a = -3
Explanations:
The given equation is:

This can be re-written as:

Collect like terms:

Cross multiply:

To verify if the solution is correct, substitute a = -3 into the question given. If the Right Hand Side equals the Left Hand Side, then the solution is correct.

Since the Left Hand Side = Right Hand Side = 7, the solution a = -3 is correct
Answer...... True
Explanation:
heroin is a addictive substance and the more you take it the greater risk of developing short and long term effects
Answer: g=2
Step-by-step explanation:5.5g+3=2.5g+9
We move all terms to the left:
5.5g+3-(2.5g+9)=0
We get rid of parentheses
5.5g-2.5g-9+3=0
We add all the numbers together, and all the variables
3g-6=0
We move all terms containing g to the left, all other terms to the right
3g=6
g=6/3
g=2