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.
The answer is A hope it helps plz mark me a brainlest
Only two numbers less than 100 have a factor of 40: 40 (1 x 40) and 80 (2 x 40). Since 40 is a factor of both 40 and 80, 10 must also be a factor - indeed, 40 = 4 x 10 and 80 = 8 x 10.
The two number must be 40 and 80.
Answer:
Option B.
Step-by-step explanation:
Given:
-3( -x + a ) + 7 < 5 When x = -1
To Find:
a ?
Solution:
-3( -x + a ) + 7 < 5 When x = -1
Substitute x = -1 in above we get
-3(-(-1) + a ) + 7 < 5
-3(1 + a) < 5 - 7
Using Distributive Property we get i.e A(B+C) = AB + AC