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aivan3 [116]
3 years ago
6

I Need Help with my Summer Packet! ​

Mathematics
2 answers:
yulyashka [42]3 years ago
6 0

Answer:

The angles on the top form 180 degrees, a line. So, 180 = 4x + 72 which gives you x = 27 Angle BFC is 66 degrees, angle CFD is 54 degrees, and angle BFA is 29 degrees. Therefore, C. 27 degrees is not a measure of an angle in the figure

Step-by-step explanation:

nikdorinn [45]3 years ago
3 0

Answer:

c) 27°

Step-by-step explanation:

<em>Step 1: Find the value of x</em>

<em>All angles on a straight line are equal to 180 degrees.</em>

<em>Therefore,</em>

60 + 2x + (2x+12) = 180

72 + 4x = 180

4x = 108

x = 27°

<em>Step 2: Through the value of x, calculate all angles</em>

2x = 27 (2) = 54°

2x + 12 = 2 (27) + 12 = 66°

x + 2 = 27 + 2 = 29°

27° is not a measure of an angle in the figure.

Therefore, option c is the correct answer.

!!

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Find the surface area of a square prism with a side measure of 6.
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From the given above, it is stated that the edge of the prism measures 6. Substituting this value to the equation above,
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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
In ΔQRS, s = 2.3 inches, ∠S=51° and ∠Q=44°. Find the area of ΔQRS, to the nearest 10th of an square inch.
postnew [5]

Answer:

Area of ΔQRS = 2.3 square inches

Step-by-step explanation:

From the given information,

<S + <Q + <R = 180^{o}

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95 + <R = 180^{o}

<R = 180^{o} - 95

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<R = 85^{o}

Applying the Sine rule, we have;

\frac{q}{SinQ} = \frac{r}{SinR} = \frac{s}{SinS}

Using \frac{r}{SinR} = \frac{s}{SinS}

\frac{r}{Sin 85} = \frac{2.3}{Sin51}

r = \frac{2.3*Sin85}{sin51}

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Also, \frac{q}{SinQ} = \frac{s}{SinS}

\frac{q}{Sin44} = \frac{2.3}{Sin51}

q = \frac{2.3*Sin44}{Sin51}

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From Herons formula,

Area of a triangle = \sqrt{s(s-q)(s-r)(s-s)}

s = \frac{2.3 + 2.0 + 2.9}{2}

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Area of ΔQRS = \sqrt{3.6(3.6-2.0(3.6-2.9)(3.6-2.3)}

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8 0
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Answer:

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Step-by-step explanation:

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Hope this helps!

4 0
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