Answer:

Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.

Plug in the values.

Evaluate.



Answer: 45
Explanation: two angles that form a Line always equal 180 degrees, so we start with the equation 180-u+47, which is the measure of the missing interior angle measure. All of the angles inside of a triangle also equal 180 degrees, so we can set up this equation to find U:
u-18+u+(180-u+47)=180
We can start to simplify by first simplifying what’s inside the parenthesis:
u-18+u+153-u=180
Then you solve the equation to get
U=45 degrees
Answer:
wait no, THANK YOUU <333
Step-by-step explanation:
i. 171
ii. 162
iii. 297
Solution,
n(U)= 630
n(I)= 333
n(T)= 168
i. Let n(I intersection T ) be X

<h3>ii.
n(only I)= n(I) - n(I intersection T)</h3><h3>
= 333 - 171</h3><h3>
= 162</h3>
<h3>
iii. n ( only T)= n( T) - n( I intersection T)</h3><h3>
= 468 - 171</h3><h3>
= 297</h3>
<h3>
Venn- diagram is shown in the attached picture.</h3>
Hope this helps...
Good luck on your assignment...
Answer:
The area of a rhombus is
square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle



Multiply both sides by 6.

The height of the rhombus is
.
Area of a rhombus is



Therefore, the area of a rhombus is
square units.