Answer:

Explanation:
The order of the letters naming the triangles is relevant. When it is said that <em>triangle ABC is similar to triangle MOP</em>, means that:
Therefore:
- ∡C = 102º (by substitution)
Now, you have two angles of triangle ABC and can find the third one:
- ∡B = 180º - 45º - 102º = 33º ← answer
Find TU with Pythagorean theorem:
TU=√6²-3²=√36-9=√27=3√3
Now you can find y:
y=√TU²+9²=√27+81=√108=6√3
Answer: 990
Step-by-step explanation:
(18 x 21) + (3 x 18) + (21 x 18) + (2)(21x3) + (3 x 18) = 990
Answer:
the answer is c
Step-by-step explanation:
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6