Okay, to find length CE, your going to know the value of <em>x</em>. Length BC + CE = BD + DE.
3x+47+x+26=27+x+10
Simplify the equation to get
4x+73=37+x
you can choose one of four ways to continue, but I will choose to subtract x
3x+73=37
Subtract 73 from both sides of the equal sign
3x=-36
divide by 3 on both sides of the equal sign to get the value of x
x=-12

Now, plug in -12 for x in length CE to get -12+26=14

6 0

4 years ago

Find the midpoint of the segment with the following end points (10,5) and (6,9)

Taya2010 [7]

Answer:

The mid-point between the endpoints (10,5) and (6,9) is:

$\left(x,\:y\right)=\left(8,\:7\right)$

Step-by-step explanation:

Let (x, y) be the mid-point

Given the points

(10,5)

(6,9)

Using the formula to find the mid-point between the endpoints (10,5) and (6,9)

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

Here:

$\left(x_1,\:y_1\right)=\left(10,\:5\right),\:\left(x_2,\:y_2\right)=\left(6,\:9\right)$

Thus,

$\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)$

$\left(x,\:y\right)=\left(\frac{6+10}{2},\:\frac{9+5}{2}\right)$

$\left(x,\:y\right)=\left(8,\:7\right)$

Therefore, the mid-point between the endpoints (10,5) and (6,9) is:

$\left(x,\:y\right)=\left(8,\:7\right)$

3 0

3 years ago

Factor the trinomial below.

luda_lava [24]

Answer:

(2x+3) (2x+3) so A

Step-by-step explanation:

Hope this helps have a great day:)

4 0

3 years ago

The density of a certain material is such that it weighs 70 pounds for every 8.5 gallons of volume. Express this density in kilo

STALIN [3.7K]

The correct answer is 0.99kg/L

Explanation:

To find the density, the first step is to convert the weight (mass) and the volume into the appropriate units.

The volume is 8.5 gallons and this needs to be converted to litters. In this case, multiply the volume in gallons by 3.785 because each gallon contains 3.785 liters.

8.5 x 3.785 = 32.1725 liters

The mass is 70 pounds and this needs to be converted to kilos. In this case, divide the pounds by 2.204 considering each kilo contains 2.204 pounds.

70 ÷ 2.2046 = 31.751 kilos

Now, find the density by dividing the mass into the volume.

Density= 31.751 kg ÷ 32.1725 L

Density = 0.98 kg/L

This means the density is 0.9.868 kg/L and this can be rounded as 0.99 kg/L

4 0

3 years ago