Answer:
Option D is correct.
Length of PQ is 36 unit.
Explanation:
If the measures of two sides in one triangle are proportional to the corresponding sides in the another triangle and their including angles are congruent, then the triangles are similar.
Given: Right angle triangle ABC at B , Length of AB = 12 unit and length of BC = 11.5 unit and in right angle triangle PQR at Q , length of QR = 34.5 unit.
Also it is given that Angle A is congruent to angle P and angle C is congruent to angle R.
To find the length of QR:
It is given that ΔABC and ΔPQR are Similar triangle
then, by the definition of similar triangle:

Substitute the value of AB, QR and BC to solve for PQ;
or

On simplify:

Therefore, the length of side PQ is 36 units.
of the candy is not m&m's.
Step-by-step explanation:
Given,
Total pieces of candy = 140
Number of m&m's = 35
Fraction = 
Fraction = 
Both 35 and 140 are multiples of 7, therefore,
Fraction of m&m's = 
As the number of m&m's fraction and not m&m's fraction will make a total of 1, therefore
fraction of m&m's + fraction of not m&m's = 1
fraction of not m&m's = 1 - fraction of m&m's
fraction of not m&m's = 
fraction of not m&m's = 
of the candy is not m&m's.
Keywords: fraction, subtraction
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Answer:
Step-by-step explanation:
a convex pentagon is basically just a pentagon which sides are either less than or equal to a straight angle
all shapes with 4 angles are 360 degrees
100+96= 196
360-196= 164
c+d=164
80+84=164
D is 84
C is 80
Answer:
c
Step-by-step explanation: