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eduard
2 years ago
5

A, B & C lie on a straight line.

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
8 0

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

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3 years ago
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Please help simplify with steps 
Leviafan [203]
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them.

The way to simplify a fraction is to divide both the numerator and denominator by their
greatest common factor.

Do you see all of those 'x's on the top and bottom ?  The top and bottom can
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<u>Numerator:</u>
Divide (-4³) by x³, and you have (-4) left.

<u>Denominator:</u>
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So, the simplified fraction is [  -4 / (1 - 2x)  ].

That's a perfectly good answer, but you could make it look a little prettier
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Either one is fine.
8 0
3 years ago
I’m confused on this one
kvv77 [185]
The answer is 42.

The question is asking for angle N. We know from the question that angle N is equal to angle E (Don't think about the scale factor because it only applies to the sides. They're just trying to trick you).

To find angle E:
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Move numbers to the right side:
6x + 7x = 180 - 79 - 11 + 14
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Plug in the 8:
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The angle measure of E is 42. So angle N is automatically 42 too.

To solidify, we can try to use the formula which they give us for angle N:
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8 0
3 years ago
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Maksim231197 [3]
6.83 as a mixed number is:

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4 0
3 years ago
If you can answer this you are a star , plzz i need help
BlackZzzverrR [31]

Answer:

\left[\begin{array}{ccc}9\\10\\\end{array}\right]

Step-by-step explanation:

Multiply the components of A by 3 then add corresponding components of

3a + b

3\left[\begin{array}{ccc}2\\4\\\end{array}\right] + \left[\begin{array}{ccc}3\\-2\\\end{array}\right]

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= \left[\begin{array}{ccc}9\\10\\\end{array}\right]

8 0
3 years ago
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