In rhombus LMNO, the diagonals intersect at X. If mZLMO = 32°, find mZMLO. m.

Mathematics

1 answer:

k0ka [10]2 years ago

3 0

Answer:

116

Step-by-step explana

You might be interested in

the school gets $5 for each T-shirt they sell at a fundraiser. They have a goal of raising $150. If $45 has been raised so far,

Xelga [282]

21 more T-shirts they need to sell.

8 0

2 years ago

Toms weekly salary increased from $240 to $270. what was the percent of change?

8_murik_8 [283]

Answer:

12.5%

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A company manufactures skateboards. Each skateboard requires 1 6/7 hours of labor to assemble and 2 1/2 hours of labor to finish

Assoli18 [71]

Answer: The total cost will be $156.85.

Step-by-step explanation:

Since we have given that

Time taken by labor to assemble the each skateboard is given by

$1\frac{6}{7}\ hours\\\\=\frac{13}{7}\ hours$

Time taken by labor to finish and stain each skateboard is given by

$2\frac{1}{2}\ hours\\\\=\frac{5}{2}\ hours$

Cost of labour to the company per hour = $36.00

According to question,

We will use "Distributive Property":

$a\times (b+c)=a\times b+a\times c$

$36(\frac{13}{7}+\frac{5}{2})\\\\=36\times \frac{13}{7}+36\times \frac{5}{2}\\\\=\frac{468}{7}+18\times 5\\\\=\frac{468}{7}+90\\\\=\frac{468+630}{7}\\\\=\frac{1098}{7}\\\\=\$156.85$

Hence, the total cost will be $156.85.

5 0

3 years ago

20 POINTS!!!

notka56 [123]

$\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------$

$(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s$