What parts of congruent polygons are congruent

Mathematics

1 answer:

madam [21]3 years ago

4 0

All parts are congruent, except sometimes the orientation.

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Please help me i dont understand

kotegsom [21]

Answer:

Step-by-step explanation:

take 52 degree as reference angle

using tan rule

tan 52=opposite/adjacent

1.27=x/21

1.27*21=x

26.67=x

26.9=x

4 0

3 years ago

A polynomial function p (x) has degree 3, and its zeros are –3, 4, and 6. What do you think is the equation of p (x)? Do you thi

zalisa [80]

Answer:

$\bold{Cubic \: eq {}^{n} = x {}^{3} - ( \alpha + \beta + \gamma )x + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma )} \\$

Sum of zeroes ,

$\alpha + \beta + \gamma = ( - 3) + 4 + 6 = 7$

sum of product of zeroes taken two at a time ,

$\alpha \beta + \beta \gamma + \gamma \alpha = ( - 3)(4) + (4)(6) + (6)( - 3) \\ = > - 12 + 24 - 18 \\ = > - 6$

product of zeroes ,

$\alpha \beta \gamma = ( - 3)(4)(6) = - 72$

Substituting the values in the equation above , we get

$\bold{x {}^{3} - ( \alpha + \beta + \gamma )x {}^{2} + ( \alpha \beta + \beta \gamma + \gamma \alpha )x - ( \alpha \beta \gamma ) }\\\\\bold{ ⇢ x {}^{3} - 7x {}^{2} + ( - 6)x - ( - 72)} \\\\\bold\blue{ ⇢x {}^{3} - 7x {}^{2} - 6x + 72}$

hope helpful~

5 0

3 years ago

What is the area of triangle ABC?<br> A(2,1) B(4,7) C(6,3)

Helen [10]

Answer: 10

Step-by-step explanation:

It appears that $\overline{AC} \perp \overline{BC}$ , so to check if this is the case, we can use the slope formula.

$m_{\overline{AC}}=\frac{3-1}{6-2}=\frac{1}{2}\\m_{\overline{BC}}=\frac{3-7}{6-4}=-2$

Since these slopes are negative reciprocals, we can see that this is the case. So, we can take $\overline{AC}$ as the base of the triangle and $\overline{BC}$ as the height of the triangle, and then use the formula $A=\frac{1}{2}bh$ .