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mr Goodwill [35]
3 years ago
12

Please help me I’m hella confused

Mathematics
1 answer:
shepuryov [24]3 years ago
7 0

Answer:

m\angle 2=33^\circ

Step-by-step explanation:

<u>Right Triangle</u>

The figure shows a right triangle with angles 2 and 3 unknown.

The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:

m\angle 2+m\angle 3=90^\circ

The measures of both angles are expressed as functions of x. Substituting their values:

x+8 + 2x + 7 = 90

Simplifying:

3x + 15 = 90

Operating:

3x = 90 - 15 = 75

Solving:

x = 75 / 3 = 25

x = 25°

Now, the measure of angle 2=x+8 = 33°

\boxed{m\angle 2=33^\circ}

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Elimination method<br> 4x-2y=48<br> 2x+6y=-18
yulyashka [42]
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


4 0
3 years ago
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If f(x) = 2x+4, which of the following is the inverse of f(x)?
creativ13 [48]

Answer:

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

Step-by-step explanation:

The given function is

f(x) = 2x + 4Let

y = 2x + 4

Interchange x and y.

x = 2y + 4

Solve for y,

x - 4 = 2y

Divide both sides by 2

y =  \frac{x}{2}  - 2

Therefore;

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

3 0
3 years ago
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Natali5045456 [20]
K=5
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Bob has 7 oranges, 10 plums and 4 pears in a bowl. He can choose: an orange and a plum or a plum and a pear or an orange, a plum
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In statistics the word "and" symbolized for multiplaction operation and the word "or" symbolized addition operation. so the number of ways can bob choose a fruit from the bowl is :

P = ( 7 x 10 ) + ( 10 x 4 ) + (4 x 7)
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Answer:

132 cm squared

Step-by-step explanation:

6x5=30

6x5=30

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1/2(8x3)=12

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