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3 years ago

Its all in the picture please help as soon as possible

Mathematics

2 answers:

Fiesta28 [93]3 years ago

7 0

59 degrees is the answer

AVprozaik [17]3 years ago

6 0

The first angle given is not needed. it is extra info.
so to start off you need to see that it is a subtraction problem. it is angle BEF minus angle GEF
90 degrees minus 39 degrees then it is all math.
angle BEG = 51 degrees

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In a triangle, the measure of one angle is five more than the first and the third angle is one more than four times the first.

katrin [286]

Answer:

A= 29

B=34

C=117

Step-by-step explanation:

A triangle has three sides and a triangle always adds up to be 180

A + B + C = 180

B = A + 5

C = 4A + 1

Plug in.

A + A + 5 + 4A + 1 = 180

6A + 6 = 180

6A = 174

A = 29

Now since you found A, find the other two by plugging A in!

C = 4(29) + 1

C = 117

Plug in the B equation

B = 29 + 5

B=34

Check your answers

29 + 117 + 34 = 180

4 0

3 years ago

Leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. The triangular base has a

Illusion [34]

Answer: The answer is $(A)~~x=\dfrac{-7+\sqrt{193}}{4}.$

Step-by-step explanation: Given that Leonhard wants to place a triangular based cabinet in the corner of his room which is rectangular in shape.

The base and height of the triangular cabinet are

$b=(2x+3)~\textup{feet},\\\\h=(3x+6)~\textup{feet}.$

Therefore, area of the triangular cabinet is given by

$a=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}(2x+3)(3x+6)~\textup{sq. feet.}$

Now, the length and breadth of the rectangular room are 30 feet and 20 feet respectively. Therefore, the area of the room is given by

$A=30\times 20=600~\textup{sq. feet.}$

According to the question,

$a=6\%\times A\\\\\Rightarrow \dfrac{1}{2}(2x+3)(3x+6)=\dfrac{6}{100}\times 600\\\\\Rightarrow (2x+3)(3x+6)=24\times 3\\\\\Rightarrow (2x+3)(x+2)=24\\\\\Rightarrow 2x^2+7x-18=0\\\\\Rightarrow x=\dfrac{-7\pm\sqrt{7^2-4\times 2\times(-18)}}{2\times 2}\\\\\\\Rightarrow x=\dfrac{-7\pm\sqrt{193}}{4}.$

Since the length of something cannot be negative, so the value of 'x' is

$x=\dfrac{-7+\sqrt{193}}{4},$

because if we take the other value of 'x', the values of (2x+3) and (3x+6) will become negative which is not possible.

Thus, (A) is the correct option.

5 0

3 years ago

Write four hundred eighty-five thousandths as a decimal number.

Juliette [100K]

Answer:

0.485

Step-by-step explanation:

3 0

3 years ago

2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step

Nutka1998 [239]

Answer:

x=5/13

Step-by-step explanation:

2/3+7/2=9x+5/6+4x

2/3+7/2-5/6=9x+4x

lcm of 2,3,6=6

2/3=4/6 7/2=21/6 5/6=5/6

4/6+21/6-5/6=9x+4x

30/6=13x

5=13x

x=5/13

8 0

3 years ago

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Which of the following represents the area of a rectangle whose length is 3x + 5 and whose width is x - 2? (1 point)

Yuki888 [10]

Answer:

A = 3x² - x - 10

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width , then

A = (3x + 5)(x - 2)

each term in the second factor is multiplied by each term in the first factor.

A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis

= 3x² - 6x + 5x - 10 ← collect like terms

= 3x² - x - 10

7 0

3 years ago

Read 2 more answers