Answer:
1) b and m
2) m∠8=m∠6
3) 160°
4)x=60°
Step-by-step explanation:
1) all straight lines sum to 180°
subtract the angles given from 180°
the other angle for b is 25°, while the other angle for m is 155°
so we can see that the angles for both lines are the same, hence they are parallel.
2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4
in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.
3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°
(2x-16)°+(7x+20)°=180°
we get x=20(nearest whole number)
∠CED=7x+20=7(20)+20=160°
4) since we need to show that they are parallel,
(2x+30)°=(4x-90)°
2x-4x=-90-30
-2x=-120
x=60
we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)
I hope u understand it the way I put it.
Answer:
Mo is sharing the sweets between 5 friends
Step-by-step explanation:
An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.
If he chooses the first way to share the sweets:
7x + 2 = total number of sweets available.
<em>This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>
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If he chooses the second way to share the sweets:
6x + 7 = total number of sweets available.
<em>This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.</em>
<em />
because the total number of sweets do not change, we have
7x +2 = 6x +7
Grouping like terms,
7x - 6x = 7 - 2
x = 5.
Therefore, Mo is sharing the sweets between 5 friends
Answer:
subtract 11 from both sides
Step-by-step explanation:
-3x+11=44
-3x=33
x=-11
Answer:
Add 7 to both sides
Step-by-step explanation:
The equation has to be just x = y
There cannot be another number on the same side as the variable
Now that we did that, the equation is 9x = 0
x = 0
Well, that was easy lol
