B is the midpoint of AC and D is the midpoint of CE solve for x given BD = 3x+4 and AE = 5x+19

1 answer:

5 0

It might be helpful to draw a diagram of a line in this case, but you could do this algebraically as well. The midpoint of any segment is basically the average of the two endpoints of the segment. Thus, for example, the midpoint of AC would be the value of A added to the value of C, which is then divided by 2 to get B. You just have to find all of the values for each of the letters, and then find the distance between B and D, for instance, which (the distance) may be represented as a system of equations with the statement of the distance for AE.

You might be interested in

(25 points!) Caleb bought a $795 necklace for his wife's birthday. If he bought it on credit with an interest rate of 16.25% how

Sliva [168]

Answer:

The total amount that he would have paid after 3 years is $1183.

Step-by-step explanation:

We would apply the formula for determining simple interest which is expressed as

I = PRT/100

I represents interest paid on the amount owed.

P represents the principal or initial amount owed.

R represents interest rate

T represents the duration for which the amount was owed in years.

P = $795

R = 16.25

T = 3 years

I = (795 × 16.25 × 3) ÷ 100

I = $388

Total amount that he would have paid after 3 years is $795 + $388 = $1183

7 0

3 years ago

Help please! Could you explain it too?

Anettt [7]

Answer:

a) not proportional

b) proportional; k = $-\frac{3}{5}$

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0

2 years ago

Kindly answer this one. Thank you.

steposvetlana [31]

Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦ The midline's length is the average of the lengths of the top and bottom parallel sides.

$AL=\frac{OR+CE}{2}$