Answer: AB ≅ CB
Step-by-step explanation:
In the given figure, we have ∆ABD ≅ ∆CBD
The CPCTC property of congruent triangles says that if two triangles are congruent then their corresponding parts ( angles and segments ) are congruent.
Since we have given that ∆ABD ≅ ∆CBD.
Therefore, the corresponding segments are congruent.
As segment AB is corresponding to segment CB. [First two letters]
Therefore, segment AB is congruent to segment CB.
Answer:
17
Step-by-step explanation:
First, we notice that the triangle is isosceles . (In case you didn't know, the two tick marks on the sides of the triangle signify that they are congruent and have the same length.) Since the triangle is isosceles, we can apply the Base Angles Theorem.
The Base Angle Theorem states that the two angles opposite of the two congruent sides are also congruent. In this case, we can say that, because the angle measuring 29° and the third(top) angle are opposite to the two congruent sides, those two angles are congruent. Therefore, the third angle measures 29° as well.
Now that we know this, we can write the following equation:
29°+29°+(11x-65)° = 180.
Solving this equation, we have x = 17.
Hope this helps!
Answer:
basically multiply the prices by how much they filled up. That should give the answer.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given
-
← factor denominator
=
- 
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
=
- 
Subtract terms on numerator leaving the common denominator
= 
= 
Answer:
c. 1
inches
Step-by-step explanation:
Since the paper clip is past the 1, the answer will be 1 and ___.
the mark in the middle of the 1 and 2 is one half (1/2)
the mark in between the 1 and 1/2 is 1/4
the mark between 1/4 and 1/2 is 1/8
there are three (3) 1/8 marks where the paperclip is
3 * 1/8 = 3/8
so your answer is 1 3/8
hope this helps:)