What is the value for x

Mathematics

1 answer:

OverLord2011 [107]3 years ago

6 0

Answer: x=9
Explanation: All 3 angles of a triangle add up to 180, so basically the equation is (3x-5)+(7x+5)+90=180.
Then you add your like terms, so 3x+ 7x=10x and -5+5=0, which cancels out. Now we have 10x+90=180, we subtract the 90 from 180 to see what 10x is equal to and we get 90. So 10x=90. We divide 10 from 90 and we get the value of X, which is 9.

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What does x equal to in this problem

IgorC [24]

Using the triangle, we can find the angle lengths and using those and trig ratios, find the side lengths. Lets say the top side length is "y".

Using the Law of triangles, we can find the missing angle from 180-90-70=20 deg.

Then we can use the Law of sines,

sin(70)/13=sin(20)/y

y=sin(20)*13/sin(70)

y=15.34

Finally, we use the Pythagorean Theorem, (13)^2+(15.34)^2=x^2

x = 20.1

3 0

3 years ago

Read 2 more answers

The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi

mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

$m_1=-\frac{1}{m_2}$

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

$m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}$

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

$y-y_1=m_1(x-x_1)$

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y: