Answer:
PQ = 16.04cm
Step-by-step explanation:
θ = 76°
QR = 4cm
PQ = ?
Since it's a right angle triangle,
QR = adjacent
PQ = opposite
Tanθ = opposite/adjacent
Tan76 = pq / 4
PQ = 4tan76
PQ = 4 * 4.010
PQ = 16.04cm
Answer:
can we have the worksheet?
Answer:
C = (g + 5)
Step-by-step explanation:
Given the cost of a customers smartphone bill,
C=10g+50
We are required to factor the polynomial.
First, determine the G.C.D of both terms
The GCD of 10g and 50 is 10
Next, we divide each of the term by 10 and balance it by multiplying the expression by 10.
C = 10g + 50
= 10 (10g / 10 + 50/10)
The cost polynomial factored is C=10(g+5).
Answer:
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- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
Answer:
Step-by-step explanation:
a = 42, b = 5, c = 28, d = 33, e = 10