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Charra [1.4K]
3 years ago
8

Angles ABC and DBE are vertical

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Answer:  Angle ABD  is 140 degrees.

Step-by-step explanation:

Angle ABC = 40 and vertical angles are equal so Angle DBE is also 40.

In order to find Angle ABD you would take the degrees in a full circle which is 360 degrees and substract the two vertical angles you have.

360 (full circle) - 40 (Angle ABC) - 40 (Angle DBE) = 280 degrees.

The two remaining angles would also be vertical angles so divide the 280 degrees by 2.

280/2 =  140

4 angles:  40 + 40 + 140 + 140 = 360

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To the nearest​ millimeter, a cell phone is 82 mm long and 36 mm wide. What is the ratio of the width to the​ length?
iVinArrow [24]
<h2>The ratio of the width to the​ length of a cell phone is 18 : 41.</h2>

Step-by-step explanation:

Given,

The length of a cell phone(l) = 82 mm  and

The width of a cell phone(b) = 36 mm

Find, the ratio of the width to the​ length of a cell phone = ?

∴ The ratio of the width to the​ length of a cell phone

= 36 mm : 82 mm

= 36 : 82

Divided by 2, we get

= \dfrac{36}{2} : \dfrac{82}{2}

= 18 : 41

Thus, the ratio of the width to the​ length of a cell phone is 18 : 41.

3 0
3 years ago
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Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

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x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

7 0
3 years ago
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wariber [46]

9514 1404 393

Answer:

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Step-by-step explanation:

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The circle centered at (h, k) = (-4, -8) with radius 8 has equation ...

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4 0
3 years ago
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earnstyle [38]

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6 0
2 years ago
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