Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
Answer: 100
set up equation: GHE+EHI=GHI
(x+38)+(x+104)=134
calculate
you get x= -4
put -4 into EHI
(-4)+104= 100
let the other number be " n "
now, according to above condition :
therefore, the other number would be 23.
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...