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°
<h2>Answer:</h2>
This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,
1.
Reason: Given
Statement: 
2.
Reason: Def of vertical 
Statement: 
3.
Reason: Def of vertical 
Statement: 
4.
Reason: Transitive Property
Statement: 
5.
Reason: corresponding Angles Converse Postulate
Statement: 
Answer:18 inches
Step-by-step explanation: Try calculating the decimation of 7.581
Simply set up a proportion. 1/3 = x/48. Cross multiply afterwards. 48 = 3x. Solve the equation. x = 16. By using proportions which is another form of a ratio you can easily find out that there are 16 adults at the school. Hope this helps :))
9514 1404 393
Answer:
11
Step-by-step explanation:
X'Y' = 2XY . . . . lengths are related by the dilation factor
22 = 2XY . . . substitute the given value
11 = XY . . . . . divide by 2
The measure of side XY is 11.
