In triangle KLM, LM =7 and m

Mathematics

2 answers:

hichkok12 [17]3 years ago

5 0

Answer:

KL=7√2

Step-by-step explanation:

LM=7

sin45°=LM/KL

√2/2=7/KL

KL=2*7/√2=14√2/2=7√2

KL=7√2

Radda [10]3 years ago

3 0

Answer:

7sqrt(2)

Step-by-step explanation:

LM squared is 49, and since the measure of angle K is 45, LM is equal to KM. So KM squared is also 49. 49+49=98. The square root of 98 is 7sqrt(2).

You might be interested in

Helppppp plzzzzzz nowwww

fenix001 [56]

54.2 degrees

explanation:

180-125.8 = 54.2

3 0

3 years ago

Solve for x please 2/3 x+1 =27

romanna [79]

2/3 x + 1 = 27

subtract 1 from each side

2/3 x = 26

multiply by 3/2

3/2 * 2/3 x = 26 * 3/2

x = 39

7 0

3 years ago

Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.

Vedmedyk [2.9K]

$y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)$

This is an equation of a parabola that opens upwards.

$Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6$

$focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9$