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Solnce55 [7]
3 years ago
12

Given m

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line <em>m</em> is parallel to line <em>n</em> and lines <em>m</em> and <em>n</em> have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line <em>m</em> and <em>x°</em> on line <em>n</em>

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

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Write an equation to represent the relationship between the step number, n, and the number of dots, y.
KengaRu [80]

The equation that represents the relationship between step number and the number of dots is y=5^n.

Solution:

Let the number of dots be y.

Step number 0: Number of dots = 1

y = 1

Using exponential rule: a^0=1

y=5^0

Step number 1: Number of dots = 5

y = 5

y=5^1

Step number 2: Number of dots = 25

y = 25

y=5^2

Step number 3: Number of dots = 125

y = 125

y=5^3

Note that in step number 0 the power is 0, 1st step power of 5 is 1, 2nd step power of 5 is 2 and the third step power of 5 is 3.

If the process goes on up to n steps, then power of 5 is n.

∴ Step number n:

y=5^n

Number of dots = 5^n.

Hence the equation that represents the relationship between step number and the number of dots is y=5^n.

5 0
3 years ago
What is the solution to the equation -4 - 2=46
ch4aika [34]
-4 -2 = -4 + (-2) = -6

As you see here, -6 does not equal 46, therefore, this equation has no solution.

-6 ≠ 46

Final answer:- No solution to this equation. 
4 0
3 years ago
Read 2 more answers
To raise money for a class trip, students sold bags of mixed nuts and bags of dried fruit. Evan sold 12 bags of mixed nuts and 1
Leviafan [203]

12 bags of mixed nuts for R2 each and 10 bags of dried fruit for R3 each

6 0
3 years ago
How to simplyfy 2x+2x
VladimirAG [237]

Answer:

Your answer is 4x.

Step-by-step explanation:

Add 2+2

Combine your x's (like terms)

then you got 4 from 2+2

Add the leftover x so it makes 4+x then add it will give you 4x.

4 0
3 years ago
a tank is 3/7 full of water.After removing 420 litres it became 12/35 full .how much can the tank hold when full? ​
insens350 [35]

Answer:

4900 Litres

Step-by-step explanation:

First we need a common demoninator:

3/7=15/35

Then we subtract the two to figure out how much 420 Litres is:

15/35-12/35=3/35

3/35=420 litres

Divide amount by the numerater for thow much 1/x is.

1/35=140

and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.

140 x 35 = 4900

5 0
2 years ago
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