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suter [353]
3 years ago
14

Expand the expression 1/2 (3+4t-10)

Mathematics
1 answer:
Alex73 [517]3 years ago
7 0

Answer:3/2 + t - 5

Step-by-step explanation:

1/2(3+4t-10)

Open brackets

3/2 + 4t/2 - 10/2

3/2 + t - 5

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Identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
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Step-by-step explanation:

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1. What is the measure of angle x? O 60° O 90° O 45° O 30°​
True [87]

Answer:

Angle x= 60°

Step-by-step explanation:

For the triangle HIL, you're going to add 30+90=120

Angles in a triangle add up to 180.

So, therefore,

180-120=60   so angle L must equal 60.

HJ is a straight line and angles in a straight line add up to 180.

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Angle JIL is equal to 90.

To find y you add 90+45 which equals 135.

Again, angles in a triangle add up to 180.

180-135=45

So,

y = 45

Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.

To find angle JLK we must add angle L and angle y.

60+45=105

Angles in a straight line add up to 180. So,

180-105=75

75 = Angle JLK

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Angles in a triangle add up to 180 so,

180-120= 60

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5 0
2 years ago
Two ships leave port at the same time. One travels at 5km/h on a bearing of 046°. The other travels at 9km/h on a bearing of 127
inn [45]

Answer:

You do not sail on a "bearing". You sail on a "heading". A bearing is a direction you look at another ship or a lighthouse or whatever. " That tanker bears south by Southwest for example. Math texts drive me nuts. Landlubbers.

Anyway:

first ship east (+x) distance = 10 cos 46 = 6.95 km

first ship north (+y) distance = 10 sin 46 = 7.19 km

180 - 127 = 53 degrees north of west

second ship east distance = -18 cos 53 = - 10.8 km

second ship north distance = 18 sin53 = 14.4 km

difference east-west = 6.95 + 10.8 =

difference north south = 14.4 - 7.9 =

Step-by-step explanation:

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3 years ago
What does the shading on the number line represent
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Picture?
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