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photoshop1234 [79]
3 years ago
6

In the figure, lines m and n are parallel. What is the value of y? a.42 b.48 c.132 d.138

Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0

Answer:

Option C  132\°

Step-by-step explanation:

In this problem

If m and n are parallel lines

then

m -----> by supplementary angles

solve for m<y

m

Ierofanga [76]3 years ago
3 0
C
the angle under y is 48 and line n adds up to 180
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AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:
 
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA

Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
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3 years ago
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A solid cylinder of radius 7cm is 10cm long.find it's total surface area
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Answer:

C.  238π  cm^3.

Step-by-step explanation:

Surface area = 2 * area of the circular ends + area of the curved length

= 2π r^2 + 2π r* l

= 2 π 7^2 + 2π 7 * 10

= 98π + 140π

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7 0
3 years ago
Read 2 more answers
Find the markup and the cost of the following item. Round answers to the nearest cent.
marysya [2.9K]

Answer:

1st question: M=22.62 while C=75.38

2nd question: M=.22 while C=1.97

Step-by-step explanation:

If a mirror costing x dollars is marked up 30%, then we have to find x such that 30%x+x is 98 dollars.

We are solving:

.3x+x=98

Combine like terms:

1.3x=98

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x=75.38

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C=75.38

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If ream of paper cost x and is marked up 11%, then we have to find x such that 11%x+x is 2.19.

We are solving:

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M=2.19-1.97=.22

So M=.22 while C=1.97

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3 years ago
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