What is the postulate theorem for these triangles?
1 answer:
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Answer:
1/4 divided by 1/2 equals 1/2
Real-world problem:
A constructor official knows that he needs 1/2 sack of cement to produce 10 blocks of concrete for a wall. The official only has 1/4 of the sack left and want to know how many blocks he can produce with this material.
Step-by-step explanation:
Since you know that 1/2 of the sack is needed to make 10 blocks, you can use this information to find the number of blocks that 1/4 of a sack can make. The question you want to answer is:
if of a sack produces 10 blocks, how may blocks
of a sack can produce?
Using the Rule of Three you can solve
Now you know that 1/4 of a sack can produce 1/2 the number of blocks that 1/2 of the sack can produces, this means that you can produce 5 blocks of concrete.
Answer:
MN = 3.03 ≈ 3
Step-by-step explanation:
Given: In ΔMNK MN = NK , m∠N = 110° and MK = 5.
To find: MN = ?
Sol: In ΔMNK,
∠M + ∠N + ∠K = 180° (sum of angles of a triangle)
2∠M = 180° - 110° ( ∠M =∠K since MN = MK)
∠M = 70°/2 = 35°
∴ ∠M = ∠K = 35°
Now, Using Sine Rule for finding sides,
Now ∵ sin 35° = 0.57 and sin 110° = 0.94 approx.
By substituting these values in above expression,
k =
k = 3.03
Therefore, MN = 3 approx.
