All categories

2 years ago

Find m∠X. Put the answer below. m∠X =

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

Answer:

∠ X = 30°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinX = $\frac{opposite}{hypotenuse}$ = $\frac{YZ}{XZ}$ = $\frac{2\sqrt{2} }{4\sqrt{2} }$ = $\frac{2}{4}$ = $\frac{1}{2}$ , then

∠ X = $sin^{-1}$ ( $\frac{1}{2}$ ) = 30°

You might be interested in

Algebra: Find x<br> ....

luda_lava [24]

Answer:

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{2x+1}{x+4}$ = $\frac{40}{25}$ = $\frac{8}{5}$ ( cross- multiply )

5(2x + 1) = 8(x + 4) ← distribute parenthesis on both sides )

10x + 5 = 8x + 32 ( subtract 8x from both sides )

2x + 5 = 32 ( subtract 5 from both sides )

2x = 27 ( divide both sides by 2 )

x = 13.5 → d

3 0

3 years ago

The conference room can hold fewer than 100 people<br><br> What is the equation for this question

kodGreya [7K]

C = conference room capacity

we can write something along the lines of C < 100, namely C can hold is less than 100.

5 0

2 years ago

What is the factored form of 6n4 – 24n3 + 18n?

seropon [69]

Answer: Its factored form will be

$6n(n-1)(n^2-3n-3)$

Step-by-step explanation:

Since we have given that

$6n^4-24n^3+18n$

So, we need to factor ,

$6n(n^3-4n^2+3)$

Now,

$\text{Let }p(n)=n^3-4n^2+3$

Now, by hit and trial method, we put n=1,

$p(1)=1^3-4\times1^2+3=1-4+3=1-1=0$

$n=1\\n-1=0$

So, n-1 is also factor of p(n).

Now,

$\frac{n^3-4n^2+3}{n-1}=n^2-3n-3$

So, its factored form will be

$6n(n-1)(n^2-3n-3)$

8 0

3 years ago

Read 2 more answers

Caiden wants to use the distributive property to find the value of 28⋅19+28⋅6528·19+28·65. Which expression can he use?

MakcuM [25]

28 times 28 times (19+65)

4 0

3 years ago

6. (CED.2, REI. 6) A manager is comparing

Mariulka [41]

I think the answer for this question is the second one

6 0

2 years ago