All categories

3 years ago

Help me solve for x please given the quadrilateral is a kite. I'm stuck and tried everything

Mathematics

1 answer:

dsp733 years ago

4 0

The key point is
SUM OF INTERIOR ANGLES OF AN QUADRILATERAL IS 360°
100+100+60+(2x-10)=360
260+2x-10=360
2x=110
x=55
so,
the 4th angle is 2(55)-10=100

You might be interested in

Given points F(3,1), G(5,2) H(2,4), and J(1,6)

Karo-lina-s [1.5K]

The slopes of perpendicular lines are opposite reciprocals

The true statement is that segments FG and HJ are perpendicular

<h3>How to determine the relationship between the segments</h3>

The coordinates of the points are given as:

F = (3,1)

G = (5,2)

H = (2,4)

J = (1,6)

Start by calculating the slopes of FG and HJ using the following slope formula

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$FG = \frac{2 -1}{5 -3}$

$FG = \frac{1}{2}$

Also, we have:

$HJ = \frac{6 - 4}{1 - 2}$

$HJ = \frac{2}{-1}$

$HJ = -2$

To determine the relationship, we make use of the following highlights

Parallel lines have the same slope
The slopes of perpendicular lines are opposite reciprocals

From the computation above, we have:

The slopes of both lines are not equal
The slopes are opposite reciprocals i.e. 2 = -1(-1/2)

Hence, segment FG and HJ are perpendicular

Read more about perpendicular lines at:

brainly.com/question/2531713

7 0

3 years ago

Which ordered pair is a solution of the equation?

Marrrta [24]

Answer:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

Step-by-step explanation:

Given the equation

y = -2x+ 5

<u>Checking the ordered pair (2, -9)</u>

substituting x = 2 and y = -9 in the equation

y = -2x + 5

-9 = -2(2) + 5

-9 = -4 + 5

-9 = 1

FALSE!

L.H.S ≠ R.H.S

Thus, the ordered pair (2, -9) is NOT a solution of the equation.

<u>Checking the ordered pair (-2, 9)</u>

substituting x = -2 and y = 9 in the equation

y = -2x + 5

9 = -2(-2) + 5

9 = 4 + 5

9 = 9

TRUE!

L.H.S = R.H.S

Thus, the ordered pair (-2, 9) is a solution of the equation.

Conclusion:

Only (-2, 9) is the solution of the equation.

Hence, option 'b' is correct.

6 0

3 years ago

The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h = -16t2 + h0, where

lawyer [7]

$\bf h=-16t^2+255\implies h=-16t^2+0t+255
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}\\\\
\begin{array}{lcccl}
h=& -16 t^2& +0 t& +255\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
h= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a}
\\\\\\
h=\cfrac{-0\pm\sqrt{0^2-4(-16)(255)}}{2(-16)}\implies h=\cfrac{\pm\sqrt{16320}}{-32}
\\\\\\
h=\cfrac{\pm\sqrt{8^2\cdot 255}}{-32}\implies h=\cfrac{\pm 8\sqrt{255}}{-32}\implies h=\cfrac{\mp \sqrt{255}}{4}
\\\\\\
h\approx \mp 3.992179856$

5 0

3 years ago

Read 2 more answers

PLEASE HELP I WILL GIVE BRAINLIEST TO ANYONE WHO WANTS IT AFTER THEY ANSWER IT!!!!!!! PLEASE HELLP ME I NEED TO GET THE DONE STA

Aleksandr [31]

I think u have to Multiply the 100 and 0.30 and that would be 30

6 0

4 years ago

−5x+2y=9<br> y=7x<br> <br><br> solve the system of equation

egoroff_w [7]

Here to solve the equation we need to plug in the value y as given. -5x+2(7x)=9. -5x+14x=9. 9x=9. X=1.

6 0

3 years ago