Answer:
Step-by-step explanation:
You only need to isolate the term a to solve this problem.
Add by 3 from both sides.
Solve.
0+3=3
a/7<3
Multiply by 7 from both sides.
Solve.
3*7=21
<u>a<21</u>
As a result, the solution is a<21, which is our answer.
Answer:
The measure of ∠G is 59°
Step-by-step explanation:
<em>When </em><em>two secants</em><em>, intersect at </em><em>a point outside a circle</em><em> then the </em><em>measure of the angle formed between them</em><em> is </em><em>one-half the positive difference of the measures of the intercepted arcs.</em>
<em></em>
In the given figure
∵ GT is a secant that intersects the circle at points H and T
∵ GE is a secant that intersects the circle at points F and E
∴ The intercepted arcs are HF and TE
∵ GT ∩ GE at G
∵ Point G is outside the circle
→ By using the rule above
∴ m∠G = (m arc TE - m arc HF)
∵ m arc TE = 175°
∵ m arc HF = 57°
→ Substitute them in the rule above
∵ m∠G = (175 - 57) =
(118)
∴ m∠G = 59
∴ The measure of ∠G is 59°