Let P be a point outside the circle such that triangle LMP has legs coincident with chords MW and LK (i.e. M, W, and P are colinear, and L, K, and P are colinear). By the intersecting secants theorem,

$m\angle LPM=\dfrac{m\widehat{LM}-m\widehat{WK}}2\impliesm\angle LPM=48^\circ$

The angles in any triangle add to 180 degrees in measure, and $\angle MLK\congruent\angle MLP$ and $m\angle LMW=m\angle LMP$ , so that

$m\angle MLK+m\angle LPM+m\angle LMP=180^\circ$

$\implies\boxed{m\angle LMW=67^\circ}$

6 0

3 years ago

Find the area of a triangle with a base length of 4 units and height of 5 units.

ruslelena [56]

Area of a Triangle = 1/2 * b * h
A = 1/2 * 4 * 5
A = 1/2 * 20
A = 10 units

In short, Your Answer would be Option C

Hope this helps!

7 0

2 years ago

What is the function, domain, and range?? {(1,-2), (-2,0), (-1,2), (1,3)}

scoundrel [369]

Answer:

the relation is NOT a function

domain: { 1,-2,1}

range: { -2, 0, 2, 3}

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

FInd the distance between the points (9,3) and (1,9)

BARSIC [14]

Answer:

=10

Step-by-step explanation:

1: Add the numbers

2: Factor the numbers

3: Apply radical rule

Answer: =10

Hope this helps.

3 0

2 years ago