Step-by-step explanation:
Statement:
2-) ∠BAC = ∠EDC
<em>Reason:</em>
Angles opposite to equal sides of a triangle are equal (Alternate Interior Angles Theorem)
Statement:
3-) AC = CD
<em>Reason:</em>
CPCTC ("Corresponding Parts of Congruent Triangles are Congruent")
Statement:
4-) ∠BCA = ∠DCE
<em>Reason:</em>
Vertical Angles Theorem (states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent)
Statement:
5-) triangle ABC = triangle DEC
ASA Postulate
The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles.)
<h2>22</h2><h3>Answer: B</h3><h3 /><h2>23</h2><h3>Answer: D</h3><h3 /><h2>24</h2><h3>Answer: A</h3><h3 /><h2>25</h2><h3>Answer: C</h3>
B would be correct for the graph above.
It will really be helpful in your solution if you draw the rectangle, its diagonal and the altitude of ΔMOP.
By doing so, you will find that ∠MOP is equal to twice m∠AOP and that is equal to 30°. Then, m∠MOP is a vertical angle of m∠NOK which means that they are equal. Therefore, m∠NOK is also 30°.
We know that the sum of the angles of a triangle is equal to 180°.
m∠NOK + m∠OKN + m∠ONK = 180°
And that m∠OKN = m∠ONK
so,
m∠NOK + 2m∠ONK = 180°
Substituting,
30° + 2m∠ONK = 180°
Hence,
m∠ONK = 75°
Answer:
C.
Step-by-step explanation:
Decay is getting smaller, and c is the only one where B will reduce the size of something.
Answer:
Step-by-step explanation:
2 * 2 = 4
3*5 = 15
2*5 = 10
4+15+10 = 29