-4x + 35 > 2
Subtract 35 from both sides:
-4x> -33
Divide both sides by -4:
X > -33 s -4
Because you are dividing the inequality. Y a negative value, reverse the inequality sign.
X < 33/4
<u>Question 11</u>
1)
,
(given)
2)
(reflexive property)
3)
(ASA)
4)
(CPCTC)
<u>Question 12</u>
1) Isosceles
with
,
(given)
2)
(angles opposite congruent sides in a triangle are congruent)
3)
and
are supplementary.
and
are supplementary (angles that form a linear pair are supplementary)
4)
(supplements of congruent angles are congruent)
5)
(SAS)
6)
(CPCTC)
7)
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>
Answer:
4.03cm
Step-by-step explanation:
Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.
To get the diameter, we will use the pythagoras theorem as shown;
d² = 7² + 4²
d² = 49 + 16
d² = 65
d = √65
d = 8.0622577
Since radius = d/2
radius = 8.0622577/2
radius = 4.0311288
Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm