The arc angle AC is measured as 55 degrees.
<h3>How to find arc angle?</h3>
If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.
Therefore, the secants intersect outside the circle at point E.
The arc angle AC can be found as follows:
Therefore,
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
arc angle AC = x
arc angle BD = 23 degrees.
m∠BED = 16 degrees.
m∠BED = 1 / 2 (arc angle AC - arc angle BD)
16 = 1 / 2 (x - 23)
16 = 1 / 2x - 23 / 2
16 + 11.5 = 0.5x
27.5 = 0.5x
x = 27.5 / 0.5
x = 55 degrees.
Therefore,
arc angle AC = 55 degrees.
learn more on arc angle here: hhttps://brainly.com/question/23117081
#SPJ1
Answer:
5 1/2
Step-by-step explanation:
The calories contained are from grams of carbohydrates and other ingredients
One gram of carbohydrate contains 4 calories
The equation 4c + 5 = 27 represents the relationship between these quantities.
1. 5 from the equation represent calories from other ingredients
2. Neither 8 nor 3 is the solution to the equation
4c + 5 = 27
When 8 is the solution
4(8)+5=27
32+5=27
37=27
When 3 is the solution
4(3)+5=27
12+5=27
17=27
Neither 8 nor 3 is the solution to the equation because 8 gives a higher calories in the granola bite and 3 gives a lower calories in the granola bite.
3. Solution to the equation
4c + 5 = 27
4c= 27-5
4c = 22
Divide both sides by 4
c=22/4
=5 2/4
=5 1/2
The solution to the equation is 5 1/2
The answer is: "
27.5 pages " ; or, write as: "
27
pages " .
____________________________________________________________5.5 pages / 12 minute = ? pages / 60 minutes;
12 * 5 = 60 ;
5.5 * 5 = ?
5.5 * 5 = 27.5
____________________________________________________________The answer is: "
27.5 pages " ; or, write as: "
27
pages " .
____________________________________________________________
Answer:
The answer to your question is L = 10 in , M = 9 in ; S = 5 in
Step-by-step explanation:
Data
longest side = 5 + x in
medium side = 4 + x in
shortest side = x
Perimeter = 24 in
Process
1.- Write and equation to solve this problem
Perimeter = longest side + medium side + shortest side
Substitution
24 = (5 + x) + (4 + x) + x
Simplification
24 = 5 + x + 4 + x + x
24 = 9 + 3x
24 - 9 = 3x
15 = 3x
x = 15/3
x = 5
2.- Calculate the lengths of the side
Longest side = 5 + 5 = 10 in
Medium side = 5 + 4 = 9 in
Shortest side = 5 in