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SOVA2 [1]
2 years ago
15

If the triangle are similar, write a similarity

Mathematics
1 answer:
Vesna [10]2 years ago
6 0

Answer:

The triangles are similar due to AAA

Step-by-step explanation:

'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.

Then the triangles are similar due to AAA

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Alecsey [184]

\frac{x {}^{3}  - 3x {}^{2} - 10x {}^{2} + 30x + 4x - 12  }{x - 3 }  \\  \frac{x {}^{2} \times (x - 3) - 10x \times (x - 3) + 4 \times (x - 3) }{x - 3}  \\  \frac{(x - 3)(x  {}^{2}  - 10x + 4 )}{x - 3}  \\ x {}^{2}  - 10x + 4
8 0
3 years ago
6: REDUCE to simplest term. 4/1 + 15/2​
vovangra [49]

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

4 0
2 years ago
The circumference of a circular hot tub at a hotel is 56.5 yards. What is the diameter of the hot tub?
Scorpion4ik [409]

c = 2\pi \times r \\ 56.5 \div 2 = \pi \times r \\ 28.25 \div \pi = r \\ 9 = r \: then \:  \times 2 = d \:  \\ diameter \: is \: 18
7 0
3 years ago
A cleaning company charges a fee of &amp;65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea
photoshop1234 [79]
Fee of $65
$10.50 per hour

'x' represents hours

Therefore we have:

y = 10.50x + 65

Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.
3 0
3 years ago
What is the equation of a line that passes through (1,2) and is perpendicular to the given line?​
fredd [130]

Answer:

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.  the equation of the line is y = ½x + 6.

Step-by-step explanation:

found off google

6 0
3 years ago
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