Solve 3 x + k equals c for x

IN ΔBCD line N is the perpendicular bisector of BC and line M is the perpendicular bisector of CD

Helga [31]

Answer:

Correct answer is D(the intersection of lines N and M)

Step-by-step explanation:

we Know that circumcenter of a triangle is point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices. In other words circumcenter of a triangle is the center of the circle which passes through the vertices of the triangle. It means, any side of the triangle will act as a chord of the circumcircle. Hence the circumcenter of a triangle must lie on the perpendicular bisectors of the sides. therefore the intersection of line N and M must be circumcenter of the triangle.

I hope this answer will help you

4 0

3 years ago

The value of 25+144 is 13. O True O False

Vladimir79 [104]

I did it on my calculater and the answer came as 13

hope that helps :)

5 0

3 years ago

Read 2 more answers

One warehouse had 185 tons of coal, another one had 237 tons. The first warehouse delivered 15 tons of coal to its clients daily

sdas [7]

Given

One warehouse had 185 tons of coal, another one had 237 tons

The first warehouse delivered 15 tons of coal to its clients daily, the second one delivered 18 tons of coal to its clients daily.

Find out in how many days will the second warehouse have 1.5 times more coal than the first one.

To proof

Let us assume that the number of days of delivered the coal = x

Take two cases

First case

As given in the question

One warehouse had coal = 185 tons

The first warehouse delivered 15 tons of coal to its clients daily

(As first warehouse delivered 15 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for first warehouse

= ( 185 - 15x)

( this equation represent the amount of coal left after x days)

Second case

second warehouse had coal = 237 tons

the second one delivered 18 tons of coal to its clients daily.

(As first warehouse delivered 18 tons of coal to its clients daily than the total amount of coal decrease daily as days increase)

Than the equation becomes for the second warehouse

= ( 237 - 18x)

( this equation represent the amount of coal left after x days)

As given in the question

the second warehouse have 1.5 times more coal than the first one

Thus

( 237 -18x ) = 1.5× ( 185 - 15x)

237 - 18x = 277.5 - 22.5x

22.5x - 18x = 277.5 - 237

4.5x = 40.5

x = 9

Therefore the second warehouse have 1.5 times more coal than the first one in 9 days.

Hence proved

7 0

3 years ago

The sum of two numbers is less than 2. If we subtract the second number from the first, the difference is greater than 1. What a

Anna007 [38]

Answer:

the value of these two numbers are 1/2 and 3/2

Step-by-step explanation:

Given that:

x+y < 2 ---- (1)

y - x > 1 ---- (2)

From equation (2), let y > 1 + x then substitute it into equation (1)

x + 1 + x < 2

2x + 1 < 2

2x < 2 - 1

2x < 1

x < 1/2

From equation (2), replace the value of x to be 1/2

y - 1/2 > 1

y > 1 + 1/2

y > 3/2

5 0

3 years ago

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money doe

scZoUnD [109]

Answer:

$2,980

Step-by-step explanation:

Mortgage points is a term used by a mortgage brokers and it is usually referred to the percentage of the loan amount.

From the given question:

Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage

the 2 points that Felicia purchased is equivalent to 2% i.e 0.02 points

Thus; the additional money she need to bring to closing is calculated by the formula:

cost = points × loan amount

= 0.02 × $149,000

= $2,980

4 0

3 years ago