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]

aflati termenul necunoscut din egalitatile de mai jos
a)x-2002=41535-1003 b)20+x-30=150-20;
c) x-(284-130)=110 d)853-(x + 1)=249;
e)613-(243-11-x)=549; f)312+11-(x+4)=323-(51+93

which expression is equivalent to 5(8 + 9)? HELP ASAP

A. 40+45
B. 13+9
C. 13+14
D. 40+9​

Write the equation of the line in slope intercept form given:
m = -6, b = 0

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%

x + 2x + 12y + 4 I don't know the answer can someone help me please

D. Direction: Plot following irrational numbers in the given number line.
1. 15
2.
46
3.
V55
4.
60
5.
V96
6.
14
7.
22
8.75
9. 34
10. 757 -
PIVOT 4A CALABAE​

PLEEEEASE HELP BIG CHUNGUS WILL GRANT YOU WISHES IF YOU DO!!!
Given: Triangle ABC is isosceles. P is the midpoint of AB. Q is the midpoint of AC. AB ≅ AC
Prove: PC ≅ QB


By the Midpoint Formula, the coordinates of P are (_,_), and the coordinates of Q are (_,_).


By the Distance Formula, PC = QP = _, so PC ≅ QB by the definition of congruency.

1) Albert has $200 in the bank. He would like to save $50 every month to buy Christmas
gifts. Which equation can be used to find y, the amount Albert will save for x days?
y = 50x + 200
y = 50 + 200x
y = 250x
y = 200 + 250x

how do you write 6.4 × 10^1 in standard form?

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.

Please help ASAP!!!!

Consider this polynomial function. p(x)= x+3 + 7x^2 - 4x - 28 What is the remainder when is divided by each of these expressions? Type the answer in each box. Use numerals instead of words. For help, see this

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

I need help, please, I'm not that good at math

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

Which property of equality could be used to solve -3x = 348? addition property A.subtraction property B.division property C.multiplication property

(-11,9), (5,0)
Find the slope of the line through each pair of points

Choose the correct answer to 8,817/43.
25 R2
205
205 R2
204 R45

what is the equation of the line that passes through the points (2, 7) and is parallel to the line y= 4x+3

What two numbers multiply to 11.6
Please help

what is the equation for the given table​

Whoever answers correctly earns brainliest.

Savannah drew a map of Texas for her Geography class. According to Savannah’s map scale, one-
half inch on the map represents approximately 77.5 kilometers. If the actual distance from Austin to El
Paso is approximately 930 kilometers, what is the approximate distance
between Austin and El Paso on Savannah’s map?

Y=8-x
7=2-y

Substitute to solve

I will give Brainliest for the correct answer

Hurry please!!

In the equation 3x+7=15, the number 7 is a.​

Ill give brainlist please i beg ulol

HELP ME ASAP


Solve for x in the diagram below

what's the answer? 4/5×1/3?​

Suppose 3 rooms cost $596 and 5 rooms cost $860. Write an equation that represents the total cost for the number of rooms.

Write each equation in standard form.

Y - 4 = -3 (x - 3)

Y + 9 = 2(x + 5)

What is the answer to this question?
will get awarded with brainliest
(4a2+2)(6a2-a+2)