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Bumek [7]
2 years ago
11

Diagram, line bc is parallel to de. i.e bc de abc = 42 cab = 109 find falls

Mathematics
1 answer:
julsineya [31]2 years ago
4 0

Answer:

x = 29°

Step-by-step explanation:

Since line BC is parallel to line DE, therefore:

m<BAD = 42° (alternate interior angles are congruent)

m<BAD + m<BAC + x = 180° (angles on a straight line)

42° + 109° + x = 180° (substitution)

151° + x = 180°

Subtract 151 from each side

x = 180 - 151

x = 29°

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Please help I really need your help
Amanda [17]

Answer:

1.  1200 \ kg/m^3

2.

a)

35 cm = 0.35 meters

11 dm = 1.1 meters

15 mm = 0.015 meters

b)

Volume = 0.005775 cubic meters

Mass = 15.5925 kilograms

Step-by-step explanation:

1.

We know

Density = Mass/Volume

Given

Mass = 90 kg

Volume = 0.075 cubic meters

The SI unit for density is kilograms per cubic meters. Our dimensions are just that, so we just need to plug in the numbers into the formula and get our answer. Shown below:

Density = \frac{90}{0.075}=1200 \ kg/m^3

The Density of asphalt block = 1200 \ kg/m^3

2.

a)

We need to express 35cm, 11dm, and 15mm in meters

We know

100 cm = 1 meters, so

35 cm = 35/100 = 0.35 meters

We know 1 dm = 0.1 meters, so

11 dm * 0.1 = 1.1 meters

We know, 1mm = 0.001 meters, so

15 mm * 0.001 = 0.015 meters

b)

Volume of the Slab is length * width * height, in meters, that would be:

Volume = 0.35 * 1.1 * 0.015 = 0.005775 cubic meters

THe mass would be found by the formula:

Density = Mass/Volume

2700 = Mass/0.005775

Mass = 0.005775 * 2700 =  15.5925 kilograms

5 0
3 years ago
(PHOTO) Please help me need this done by tomorrow thank you.​
Tomtit [17]

Answer:

2x+78=5x+15

78-15=5x-2x

3x=63

x=21

7 0
2 years ago
ben works at the movie theather and earns d dollars per year. He gets a raise of 9% after hos first year. What os his new salary
viva [34]

Answer:

d + .09d

Step-by-step explanation:

9% of his salary can be found by multiplying d by 0.09.  Then simply add that to his original salary to get you answer.

6 0
3 years ago
these problems been confusing me for a while- if you could please help me with the answers that would be amazing.
bulgar [2K]

Answer:

Angle 1 = 85*

Angle 3 = 85*

Angle 4 = 95*

Angle 5 = 85*

Angle 6 = 95*

Angle 7 = 85*

Angle 8 = 95*

Step-by-step explanation:

Since angle 2 is 95*, angle 4 would be the exact same. Now you add 95+95=190 and subtract that from 360. 360-190=170. Then divide 170 by 2= 85 to get the measurements for 1 and 3.

5 0
3 years ago
Question is : Rearrange to make x the subject : 3y-2x=7
maksim [4K]

Answer:

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Step-by-step explanation:

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2 years ago
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