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Bess [88]
2 years ago
12

Solve for x. The triangles are similar.

Mathematics
2 answers:
erica [24]2 years ago
6 0

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: \frac{SE}{GE} = \frac{RE}{FE} . Plugging in the numbers from the diagram, we get \frac{45}{12x-3} = \frac{55}{143} . Using cross multiplication, we get the following equation:

45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10

Our final answer is D. 10

Serjik [45]2 years ago
5 0

Answer:

\fbox {D. 10}

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10

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Find the cubic equation that has -1 and 2i as roots
ryzh [129]
The cuic equation is -1 and 2i
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3 years ago
Solve the following equations.<br> √3 ⋅ 3^3x = 9
GREYUIT [131]

Answer:

The solution is x = 0.5

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

\sqrt{a} = a^{0.5}

So

\sqrt{3} = 3^{0.5}

And

9 = 3^{2}

This following property is also important:

\frac{a^{b}}{a^{c}} = a^{b-c}

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

\sqrt{3}.3^{3x} = 9

3^{0.5}.3^{3x} = 3^{2}

3^{3x} = \frac{3^{2}}{3^{0.5}}

3^{3x} = 3^{2-0.5}

3^{3x} = 3^{1.5}

This means that:

3x = 1.5

x = \frac{1.5}{3}

x = 0.5

5 0
3 years ago
A line passes through the origin and has a slope of -3 what is the equation of the line that is perpendicular to the first line
Marianna [84]

Answer: y=\frac{1}{3}x+3

Step-by-step explanation:

The equation of the line is Slope-intercept form is:

y=mx+b

Where "m" is the slope and "b" the y-intercept.

The slopes of perpendicular lines are negative reciprocal.

Then, if the slope of the first line is -3, the slope of the other line must be:

m=\frac{1}{3}

Substitute the point (3,4) into the equation and solve for b:

4=\frac{1}{3}(3)+b\\ 4-1=b\\b=3

Then the equation of this line is:

y=\frac{1}{3}x+3

3 0
3 years ago
Read 2 more answers
What is -18a divided by 6?
OLga [1]
The answer for your exact question is -3x.
8 0
3 years ago
Anyone know how to do this?
suter [353]

Answer:

D

Step-by-step explanation:

Because A isn' at all right and B, and C equal the same but D = 36 So the sides are 18 each side.

7 0
3 years ago
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