MATHEMATICS HIGH SCHOOL

In the circle, m arc BC = 72°. The diagram is not drawn to scale.

What is m angle BCP

Answers

Answer 1

Answer:

Answer:

Measure of ∠BCP is 36°

Step-by-step explanation:

Given the circle in which measure of arc BC is 72°

we have to find the measure of angle BCP.

m∠BOC=∠2=72°

By theorem angle subtended at the centre is twice the angle formed at the circumference of circle.

∴ ∠2=2∠1 ⇒ 72=2∠1

⇒ ∠1=36°

By alternate segment theorem which states that

The angle formed between a chord and a tangent through one of the end points of chord is equals to angle in alternate segment.

⇒ ∠3=∠1=36°

Hence, measure of ∠BCP is 36°

Option D is correct

Answer 2

Answer: 36 you take 72 and divide it by 2 and get 36

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A line passes through the point (-3, -3) and has a slope of 1/2 What is the equation of the line? Solve the system of equations. 2x + 3y = 6 x + y = 4

Answers

y-y1=m(x-x1)
(x1,y1) is a given point
m=slope
y-(-3)=1/2(x-(-3))
y+3=1/2(x+3) is an equation

2x+3y=6
x+y=4
multiply second equation by -2 and add to first

2x+3y=6
-2x-2y=-8 +
0x+1y=-2

y=-2
sub back

x+y=4
x-2=4
add 2
x=6

x=6
y=-2
(6,-2)

Which doesnt belong and why

Answers

Answer:

Step-by-step explanation:

They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD

How to factor: a^2+11a+18

Answers

$a^2+11a+18\n\n-----------------------------\n\n11=9+2\n18=9\cdot2\n\n-----------------------------\n\na^2+11a+18=(a+9)(a+2)$

$a^2+11a+18=a^2+2a+9a+18=a(a+2)+9(a+2)=\n\n=(a+2)(a+9)$

Need help ASAP! Anyone know?

Answers

Answer: x= 29°

Step-by-step explanation: Add angles D and C. Subtract from 180.

58/2 = 29

fifteen percent of the workers earn minimum wage. if 24 workers earn minimum wage. how many total workers?

Answers

Given:
15 percent of the workers earn minimum wage
24 workers earn minimum wage

Find the total number of workers.

15% is the percentage of the part of a whole.
24 is the value of the part.

To get the value of the whole, we divide the part by its percentage

24 ÷ 15% = 160

There are a total of 160 workers.

BUILDING CODE A city has a building code that limits the height of buildings around the central park . The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0. Write an inequality that represents the building code (1 pt)

Answers

The required inequality for the height of the building around the park should be y < 0.9x.

Given that,
A city has a building code that limits the height of buildings around the central park. The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0.