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3 years ago

What is the length of BC?

Mathematics

2 answers:

Elenna [48]3 years ago

8 0

Answer:

Step-by-step explanation:

Since AC and AB are opposite equal angles AC=AB

2x-24=x-2

x=22

So BC=x=22

Luba_88 [7]3 years ago

6 0

So it would be BC equals X equals 22 oh and you don’t have to tell me thank you cause you’re welcome

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Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

3 years ago

23 times 67 estimated

Llana [10]

Estimate : 23 × 67

20 (lower down, lower than 5...the last digit) × 70 (Higher, higher than 5)

=20×70
=1400

The estimated value will be 1400

8 0

3 years ago

Using Accuracy and Precision Avani is building a rectangular play area. The length of the play area is 7.5 meters. The width of

Oxana [17]

The whole area is a rectangle one. In order to get the area of a rectangle, the formula is length multiplied by the width. The length of the area is 7.5 meters and the width is 5.3 meters. Covering the whole area with foam needs 39.75 square meters of it.

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3 years ago

3b×+7c 2×2+4 3×3_6×+5 7y +8s_3

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

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3 years ago

Heart failure is due to either natural occurrences (86%) or outside factors (14%). Outside factors are related to induced substa

gayaneshka [121]

Given are the following data:

Heart failure causes:

84% natural occurence
16% outside factors
18 individuals (sample size)

1. What is the probability that 3 individuals have conditions caused by outside factors?

Probability = 3/18 * 0.16 = 0.0267 or 2.67%

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