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>
Answer:
1) 9:14
2)4:1
Step-by-step explanation:
You have to have all of the teachers compared to all of the adults (teachers included)
You have to simplify 12:3 and you get 4:1.
Answer:
(4)Angle A is 63°
Step-by-step explanation:
To find angle A here is what you have to do
(1) triangle A is an Isosceles triangle which has two of its angles being equal.
(2) To find A we hv to look for the interior angles of the triangle. If u look carefully there is this angle outside the triangle .we can use a property called "Angles on a straight line
(3) " Angles on a straight line sum up to 180°" When u do that ur equation will look like this
126+(x)=180°. u may be wondering hw did we get the x?? well i named the angle we dont know with any valuable like T,F etc .when u group like terms ur equation should look like this (x)=180°-126°
if u subtract ur answer should be x=63°
(B) if u look closely u will see there are two triangles. The one to the far right is an Isosceles triangle why because there is this double stroke indicating it is an Isosceles triangle. Remember an Isosceles triangle has its bases being equal. so the the triangle has two angles of 30°. so If we want to find B we first have to find the interior angles of the Isosceles triangle . so our epuarion will be like this 30°+30°+(X)=180°
U group like terms so it will look like this x=180°-60° so,
x= 120°
So now T=120°
Now to find B
we write the equation like this T+(W)=180°
we put the value of T into the Equation w=180°-120 the answer is 60°
So to find B we find the interior angles of the triangle and the interior angles of the Isosceles triangle sum up to 180. so it will look like this B+90+60=180
Nb they should be in Degrees
finally u group like terms. ur equation should look like this B=180-150
ur answer should be B=30°
Answer:
x = 5
Step-by-step explanation:
The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.
<h3>Application</h3>
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<em>Additional comment</em>
Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.
