1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RUDIKE [14]
3 years ago
8

Find the value of x to the nearest tenth

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

NemiM [27]3 years ago
3 0
41.2 I think that is right
You might be interested in
Molly is making Strawberry infused water for each ounce of strawberry juice she uses three times as many ounces of water she wan
snow_tiger [21]

Answer:

The Total of <u>16 ounces</u> of Strawberry juice and <u>48 ounces</u> of water is used for making 64 ounces of Strawberry infused water.

Step-by-step explanation:

Let the amount of Strawberry juice in ounces be 'j'

Let the amount of water in ounce be 'w'

Given:

For each ounce of strawberry juice she uses three times as many ounces of water.

It means that amount of water in ounce is 3 times of amount of strawberry juice in ounce.

framing the equation we get;

w=3j

Now we need how many ounces of strawberry juice and how many ounces of water does she need to make 64 ounces of strawberry infused water.

We know that Total Strawberry infused water is equal to sum of amount of Strawberry juice in ounces and the amount of water in ounces

Framing in equation form we get;

j+w=64

But we know w=3j

hence,

j+3j= 64\\\\4j=64\\\\j=\frac{64}{4} = 16 \ ounces

Hence amount of Strawberry juice = 16 ounces

Amount of water = 3j = 3\times16 =48 \ ounces

Hence The Total of <u>16 ounces</u> of Strawberry juice and <u>48 ounces</u> of water is used for making 64 ounces of Strawberry infused water.

5 0
3 years ago
Verify that -8+ (-11)/(-12) = (-11)/(-12)+ (-8)
IrinaVladis [17]
No The equation -8+(-11)/-12=(-11)/(-12)+(-8) do not equal each other. No matter how you look at it, the will never equal each other here’s some work if you need it :)


-8+(-11) = -19
Then the equation would look like this :)

-19 / -12 = (-11)/(-12)+(-8)

Now the other side :)

-12 +(-8)= -20

Leaving the equation looking as so

-19 / -12 = -11 / -20


They don’t look the same, you wouldn’t even need to solve that to know that they are not equivalent :) but if you did it would look like this :)


1.583(in repeating) = 0.55

Even so they are still not equivalent :)


Hope this helped you!! :)) have a nice day!
3 0
3 years ago
Which of the following expression is equivalent to (x+y)^2 ? There more than one correct answer.
Sedbober [7]

Answer:

<em>B, C, E</em>

Step-by-step explanation:

Option A,\\x^2 + y^2

If we were to consider expanding the expression ( x + y )^2, take a look at the procedure below;

( x + y )^2 =\\( x + y )( x + y ) =\\x^2 + xy + yx + y^2 =\\\\x^2 + 2xy + y^2 \neq x^2 + y^2

Thus, the <em>first option is incorrect</em>

Option B,\\( y + x )^2 =\\( y + x )( y + x ) =\\y^2 + yx + xy + x^2 =\\\\x^2 + 2xy + y^2

x^2 + 2xy + y^2 is similar to the result of the expansion of ( x + y )^2, so the <em>second option is correct</em>

Option C,\\x( x + y ) + y ( x + y ) =\\( x + y )( x + y ) =\\\\( x + y )^2

Grouping like terms, x( x + y ) + y( x + y ) = ( x + y )^2, and thus the <em>third option is correct</em>

Option D,\\( x - y )^2 =\\( x - y )( x - y ) =\\x^2 - xy - yx + y^2 =\\\\x^2 - 2xy + y^2 \neq x^2 + 2xy + y^2

As noted before, x^2 - 2xy + y^2 is not x^2 + 2xy + y^2, so the<em> </em><em>fourth option is incorrect</em>

Option E,\\( x + y )^2 = ( x + y )( x + y )

And thus, <em>Option E is correct</em>!

8 0
3 years ago
Which equation has the solution x=6
Anni [7]

Answer:

B. x=6

move all terms to the left that don't contain x to the right side and solve.

8 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through the point (0,3) and is perpendicular to y=-1/2x+7
Naddika [18.5K]

Answer: y = 2 x + 3

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  

y  =  − 1 /2 x + 7 .

y = 2 x + 3

Download docx
7 0
4 years ago
Other questions:
  • The total area of the three triangles is square units. The area of the figure is square units.
    14·1 answer
  • 2)
    7·1 answer
  • in the past two weeks, Sue earned $513 at her part-time job. She worked a total of 54 hours. About how much did Sue earn per hou
    11·2 answers
  • Need help with math question
    13·1 answer
  • A study at a major university concluded that many students are cheating. The circle graph depicts the percentages of students wh
    9·1 answer
  • Find the radius circumference of this circle
    12·1 answer
  • Enter the amplitude of the function f(x). <br> F(x)=-sin(3x)-1
    8·1 answer
  • 13 and 14 <br><br> Please help ASAP<br><br> Extra 100 points
    12·1 answer
  • 6. Find the measure of the angle. *<br> m Q<br> ?<br> P<br> 113<br> M<br> 118
    8·1 answer
  • Write the letter of every special quadrilateral that has the given property. (I will give brainliest)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!