What is the value of X?

Mathematics

1 answer:

Leviafan [203]2 years ago

4 0

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

You might be interested in

True or false...the segment AB is congruent to the segment BC

pogonyaev

Answer:

true

Step-by-step explanation:

the segment ¯AB¯ is congruent to the segment ¯BC¯

5 0

2 years ago

. Paige can complete a landscaping job in

Lapatulllka [165]

Maybe less than 4hrs since there’s two working together and since malia can complete less than Paige

5 0

2 years ago

Triangle MNP is dilated according to the rule DO,1.5 (x,y)(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown. W

scoray [572]

Answer: ?????????

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

5/4 to 3/8 as a percent change

Digiron [165]

Well, what's the diffrence from 5/4 to 3/8?

$\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}$

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&100\\\\
\frac{7}{8}&x
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
\\\\\\
\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}$

5 0

3 years ago

Write the equation of the line in fully simplified slope-intercept form.

Aneli [31]

Answer:

$y = -\frac{1}{5}x -1$