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Butoxors [25]
3 years ago
13

Cho 4 điểm ABCD thỏa mãn điều kiện AB//CD; AD//BC. Gọi P và Q lần lượt là trung điểm của DC và BC. Gọi M là trung điểm của AB. G

ọi E, F lần lượt là giao điểm của BD với AP và CM; O là giao điểm của AC và BD.
a) Chứng minh O là trung điểm của AC và BD.
b) Chứng minh C, F, M thẳng hàng.
c) Chứng minh DE = EF = FB.
Mathematics
1 answer:
lina2011 [118]3 years ago
4 0

Answer:

i dont even know this language

Step-by-step explanation:

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2x² - 5x+1 has roots alpha and beta. Find alpha⁴+beta⁴ without solving the equation.
shepuryov [24]

Answer:

Step-by-step explanation:

\alpha+\beta=\dfrac{5}{2} \\\\\alpha*\beta=\dfrac{1}{2} \\\\\alpha^2+\beta^2=\dfrac{21}{4} \ (see\ previous\ post)\\\\(\alpha+\beta)^4=\dfrac{625}{16} \\\\=\alpha^4+\beta^4+4*\alpha^3*\beta+6*\alpha^2*\beta^2+4*\alpha*\beta^3\\\\=\alpha^4+\beta^4+4*(\alpha*\beta)(\alpha^2+\beta^2)+6*\alpha^2*\beta^2\\\\\alpha^4+\beta^4=(\alpha+\beta)^4-4*(\alpha*\beta)(\alpha^2+\beta^2)-6*\alpha^2*\beta^2\\\\= \dfrac{625}{16} -4*\dfrac{1}{2} *\dfrac{21}{4} -6*(\dfrac{1}{2})^2 \\\\

= \dfrac{625}{16}- \dfrac{168}{16}-\dfrac{24}{16}\\\\\\= \dfrac{433}{16}

7 0
3 years ago
In congruent figures, corresponding angles have equal measures. true or false?
algol [13]
This is true

Think of two houses. If we say "the houses are identical" then the corresponding pieces must be the same (eg: the doors must be the same type out of the same material). In this analogy, the houses are the triangles, which are the overall structures. The doors are the angles since they are pieces of the overall structures. This is what CPCTC is saying

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

Once again, the final answer is true.
8 0
3 years ago
Simplify the square root of 27 over 12
Hunter-Best [27]
\sqrt{ \frac{27}{12} }

{ \frac{ \sqrt{27} {} }{ \sqrt{12}}

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\frac{3 \sqrt{3} }{2 \sqrt{3} }

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1  \frac{1}{2}
5 0
4 years ago
What three dimensional solid has 6 rectangular faces, 2 equal bases that are not rectangles, and 18 edges
lapo4ka [179]

A hexagonal prism should work! The two bases are hexagons, and there are 6 lateral faces that are rectangles. When you count the edges, there are 18

5 0
3 years ago
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HELP! Simon invests in a medical company. He buys the stock at $189.35 and sells it for $167.78. What is the percent of decrease
myrzilka [38]
167.78 / 189.35 = .88608 * 100 = 88.6083971481 round it you get 89
3 0
3 years ago
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