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podryga [215]
3 years ago
9

Pls, help with this question

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

m\text{ arc BC} =32\\m\angle 2=16\\m\angle3=74\\m\angle4=74\\m\angle5=16

Step-by-step explanation:

Arc BC is the intercepted arc for the central angle COB, so its measure is the <u>same</u> as the central angle.

Angle 2 is an inscribed angle, so its measure is <u>half</u> the measure of the intercepted arc BC.

Angles 3 and 4 are congruent inside an isosceles triangle (OB = OC, both radii), and the sum of all angles in triangle COB is 180 degrees, so

180 - 32 = 148 (sum of angles 3 and 4)

Each of angles 3 and 4 measure half that remaining 148 degrees.

Angle 5 is one of two congruent angles in an isosceles triangle AOC (OA = OC) so its measure is that of angle 2.

You might be interested in
Si una empresa obtiene un préstamo de S/3000 a seis años de plazo, con una tasa de interés compuesto del 15 % anual capitalizabl
Debora [2.8K]

Answer:

VF= $3.281,42

Interes= 3.281,42 - 3.000= $281.42

Step-by-step explanation:

Dada la siguiente información:

Prestamo (P)= $3.000

Tasa (i)= 0,015/2= 0,0075

Cantidad de periodos (n)= 6*2= 12 semestres

<u>Para calcular el valor final del prestamos, tenemos que usar la siguiente formula:</u>

VF= P*(1 + i)^n

VF= 3.000*1,0075^12

VF= $3.281,42

Interes= 3.281,42 - 3.000= $281.42

8 0
3 years ago
An insurance company estimates the probability of an earthquake in the next
erma4kov [3.2K]

Answer:

- 27.88

Step-by-step explanation:

Probability of earthquake = 0.0012

P(earthquake). = 0.0012

P(no earthquake) = 1 - p(earthquake) = 1 - 0.0012 = 0.9988

X ____ 60,000 ______ - 100

P(X) ___ 0.0012 _____ 0.9988

The expected value of the policy :

E(X) = Σx*p(x)

E(X) = (0.0012 * 60000) + (0.9988 * - 100)

E(X) = 72 - 99.88

E(X) = - 27.88

3 0
2 years ago
I'm confused on how to do this question
laila [671]

Answer:

CE = 35

Step-by-step explanation:

Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:

BC:AB = DC:DE

Plug in the values

(x - 5)/6 = 14/(2x + 3)

(x - 5)(2x + 3) = 14*6

x(2x + 3) -5(2x + 3) = 84

2x² + 3x - 10x - 15 = 84

2x² - 7x - 15 - 84 = 0

2x² - 7x - 99 = 0

Factorize

2x² - 18x + 11x - 99 = 0

2x(x - 9) +11(x - 9) = 0

(2x + 11)(x - 9) = 0

2x = -11

x = -11/2

Or

x = 9

Let's take the positive value of x

Thus:

CE = 14 + 2x + 3

Plug in the value of x

CE = 14 + 2(9) + 3

CE = 14 + 18 + 3

CE = 35

3 0
2 years ago
Look at pic
dlinn [17]
I’m pretty sure it’s 1.9975 lol
4 0
2 years ago
Complete the steps to solve the polynomial equation x^3 – 21x = –20. According to the rational root theorem, which number is a p
Ber [7]
X^3 - 21x = -20
add 20 to both sides
x^3 - 21 x + 20 = 0
Rational Root Theorem:
Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20
-------------------------------      
Factors of Q (leading Coefficient) = 1

Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1

Of the choices given only the number 1 is a possible root.
8 0
3 years ago
Read 2 more answers
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