Answer:
Solution given:
y+135°=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
y=180°-135°
y=25°
again
2x-1+3x+1=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
5x=180
x=180/5.x=36
<u>x</u><u>=</u><u>3</u><u>6</u><u>°</u><u>,</u><u>y</u><u>=</u><u>2</u><u>5</u><u>°</u>
Answer:
The fifth term is the middle term of nine, with coefficient given by all the ways of choosing 4 items out of 8
, namely the ways of choosing 4
a
's out of 8 binomial factors.
Step-by-step explanation:
Answer:
Last option
Step-by-step explanation:
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°