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Andrej [43]
2 years ago
11

Solve similar triangles (advanced)

Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0

Answer:

x = 1.125 AKA x = 1 1/8 AKA x = 9/8

Step-by-step explanation:

CB to ED = 1 : 9

Scale Factor = 1/9

\frac{1}{9} = \frac{x}{x+9} -> cross multiply

9x = x + 9

-x     -x

8x = 9

\frac{8x}{8} =\frac{9}{8}

x = 9/8

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Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.
sergeinik [125]

If 1 cup of that particular vanilla powder has a mass of 128 grams, then \dfrac{2}{3} of a cup of vanilla powder has a mass of

\dfrac{2}{3} \cdot 128=\dfrac{256}{3}=85\dfrac{1}{3} grams.

Since

85\dfrac{1}{3}-32=53\dfrac{1}{3} grams and \dfrac{5}{12} of a cup of vanilla powder is

\dfrac{5}{12}\cdot 128=\dfrac{5\cdot 128}{12}=\dfrac{5\cdot 32}{3}=\dfrac{160}{3}=53\dfrac{1}{3},

then correct answer is that he went over by  \dfrac{5}{12}  of a cup.

Answer: correct choice is B.


3 0
3 years ago
Read 2 more answers
Urgent algebra 2 help please
In-s [12.5K]

Answer:

y = 4x - 5

Step-by-step explanation:

y = mx + b

By putting above values in equation (i)

-1 = 4 (1) + b

-1 = 4 + b

-5 = b

b = -5

y = 4x - 5

5 0
1 year ago
Identify the equation that does not belong with the other three. Explain your reasoning. Y+4=2 , x+6=4, t+5=-3, 1+1m=-1
motikmotik
y+4=2\ \ \ \ | subtract\ 4\\\\
y=-2\\\\\\
x+6=4\ \ \ \ \ | subtract\ 6\\
x=-2\\\\\\
t+5=-3\ \ \ | subtract\ 5\\
t=-8\\\\\\
1+m=-1\ \ \ | subtract\ 1\\
m=-2

7 0
3 years ago
Farmer Brown is prepping his circular garden for the new spring/summer season of vegetables. The garden has to be larger than 25
d1i1m1o1n [39]

Answer:

The area is 78.5, the farmer does have enough space to plant his vegetables

Step-by-step explanation:

To find the area, you need to use the formula, A=πr², (make sure the diameter is turned into the radius by dividing by 2, in this case, it's 5 as the radius)

Plug in your numbers, A= 3.14(5)²

                                    A= 3.14(25)

The area is 78.5

So the farmer does have enough space to plant his vegetables since 78.5 is greater than 25

7 0
3 years ago
What are the zeros of the function f(x) = x2 + 8x +4, expressed in simplest radical form?
Elanso [62]

Answer:

x = - 4 ± 2\sqrt{3}

Step-by-step explanation:

Given

f(x) = x² + 8x + 4

To find the zeros let f(x) = 0, that is

x² + 8x + 4 = 0 ( subtract 4 from both sides )

x² + 8x = - 4

To solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(4)x + 16 = - 4 + 16

(x + 4)² = 12 ( take the square root of both sides )

x + 4 = ± \sqrt{12} = ± 2\sqrt{3} ( subtract 4 from both sides )

x = - 4 ± 2\sqrt{3}

Thus the zeros are

x = - 4 - 2\sqrt{3} and x = - 4 + 2\sqrt{3}

5 0
3 years ago
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