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3 years ago

5ABCD is a quadrilateral. AO and BO are the angle bisectors of A

Mathematics

1 answer:

zysi [14]3 years ago

8 0

Answer:

60°

Step-by-step explanation:

sum of interior angles of quadrilateral is 360°

∠C = 70°

∠D = 50°

∠C + ∠D = 120°

∴ ∠A + ∠B = 360° - 120° =240°

AO and BO bisect ∠A and ∠B

∠OAB + ∠OBA = 1/2 x ( ∠A + ∠B) = 120°

∠AOB = 180° - (∠OAB + ∠OBA) = 180° - 120° = 60°

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The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

$V(t) = V(0)(1-r)^{t}$

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that $r = 0.16$

$V(t) = V(0)(1-r)^{t}$

$V(t) = V(0)(1-0.16)^{t}$

$V(t) = V(0)(0.84)^{t}$

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

$V(t) = V(0)(0.84)^{t}$

$0.5V(0) = V(0)(0.84)^{t}$

$(0.84)^{t} = 0.5$

$\log{(0.84)^{t}} = \log{0.5}$

$t\log{0.84} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.84}}$

$t = 3.98$

The half life of the car is 3.98 years.

7 0

3 years ago

Identify the factors of x2 - 4x – 12.

Kryger [21]

I don’t understand this question can u please clarify it

7 0

2 years ago

A 9 inch candle burns -2/3 inch per hour. How long will it take the candle to burn completely?

Luda [366]

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5 0

3 years ago

Read 2 more answers

A store bought a leather couch at a cost of $500 and marked it up 140%. Bruce bought it and

amid [387]

Answer:

$1296

Step-by-step explanation:

the markup is 700 so add that to the 500, then sales tax adds 96

4 0

2 years ago

the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?

max2010maxim [7]

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

8 0

3 years ago