Unghiurile ∢AOB și ∢BOC sunt adiacente suplementare, iar OM, respectiv ON, sunt bisectoarele acestora. Fie BD ⊥ OM, D ∈ OM și BE ⊥ ON, E ∈ ON . Demonstrați că: a) patrulaterul BDOE este dreptunghi. b) OB ≡ DE .

Answer:

Following are the solution to this question:

Step-by-step explanation:

[tex]\angle AOB + \angle BOC = 180\\\\\angle MON = (\angle AOB + \angle BOC): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point a:

[tex]\angle AOB = 60\\\\ \angle BOC = 120\\\\ \angle MON = (60 + 120): 2 \\\\[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

In point b:

[tex]\angle BOC = 100\\\\\angle AOB = 80\\\\ \angle MON = (100 + 80): 2[/tex]

            [tex]= 180: 2 \\\\=\frac{180}{2}\\\\= 90^{\circ}[/tex]

given 2x +8y=16, find the x- and y- intercepts

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A. 40+45
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Why does sin54°≈0.809≈cos36° in a right triangle?

A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.

C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.

D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.

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Substitute to solve

I will give Brainliest for the correct answer

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will get awarded with brainliest
(4a2+2)(6a2-a+2)

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PLEEEEASE HELP BIG CHUNGUS WILL GRANT YOU WISHES IF YOU DO!!!
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By the Midpoint Formula, the coordinates of P are (_,_), and the coordinates of Q are (_,_).


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1) Albert has $200 in the bank. He would like to save $50 every month to buy Christmas
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25 R2
205
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Find the slope of the line through each pair of points

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HELP ME ASAP


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Write the equation of the line in slope intercept form given:
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D. Direction: Plot following irrational numbers in the given number line.
1. 15
2.
46
3.
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4.
60
5.
V96
6.
14
7.
22
8.75
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10. 757 -
PIVOT 4A CALABAE​

Vanessa bought a 30 pound bag of rice she cooked 7.5 pounds of the rice she stores the rest of the rice in 4.5 pound portions what is the maximum number of portions she stored

Whoever answers correctly earns brainliest.

Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-
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Il signor Rossi percepisce uno stipendio mensile di2000 euro. L’azienda dove lavora, in seguito a un periodi di utili superiori al previsto, aumenta gli stipendi del 6%.Successivamente, a causa di un periodo di crisi, gli stipendi vengono diminuiti del 6%. Dopo l’aumento e la diminuzione, a quanto ammonterà lo stipendio del signor Rossi? E qual e in percentuale la variazione di stipendio rispetto allo stipendio iniziale?
RISPOSTA: 1992,8 euro; -0,36%