Question

for items 8 - 9, use the number line below.
g h i j k l m n o
-4 -3 -2 -1 0 1 2 3 4

1. what is ln + jl
2. what is the coordinate (digit) of the mid - point of ln + jn?
3. find the length of segment $overline{pr}$. round answer to the nearest tenth.

p(-10, 5), r(-7, 1)

1. in the diagram to the right, m<dbc = 60°. find each of the following.

<ebd=
<fbe=
<cbf=

Explanation:

for 8:

Step1: Get coordinates of L, N, J

L=1, N=3, J=-1

Step2: Calculate JL length

JL=|1 - (-1)|=2

Step3: Calculate LN length

LN=|3 - 1|=2

Step4: Sum LN and JL

2 + 2=4

for 9:

Step1: Midpoint of LN coordinate

(1 + 3)/2=2

Step2: Calculate JN length

JN=|3 - (-1)|=4

Step3: Add midpoint and JN

2 + 4=6

for 10:

Step1: Apply distance formula

PR=$\sqrt{(-7 - (-10))^2 + (1 - 5)^2}$

Step2: Compute differences

$3$ and $-4$

Step3: Square and sum

$3^2 + (-4)^2=25$

Step4: Take square root

$\sqrt{25}=5.0$

for 11:
The diagram for question 11 is not visible, making it impossible to determine the angles ∠EBD, ∠FBE, and ∠CBF without visual context.

Answer:

for 8:
4