Answer:
x=3, y=10
Step-by-step explanation:
in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.
this means
y-4=6
y=10
Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that
6=x+3
x=3
Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
we can divide the equation on (x+1) and if we have a real solutons (x+1) is a factor
is a factor because the remainder is 0
so the new form of the equation is
Answer:
Sum of the opposite pair of a cyclic quadrilateral is 180°.
c= 180-102= 78°
c= 180-102= 78°d= 180-92= 88°
<em><u>intercepted arc</u></em>
=>2(102°)= 140+a°
a=64°
<u>Simillarly</u>
=> 2(d°)= a°+b°
b°= 112°
so ....
<u>a=64°</u>
<u>a=64°b=112°</u>
<u>a=64°b=112°c=78°</u>
<u>a=64°b=112°c=78°d=88</u>
<em><u>hope it helps you</u></em><u> </u><u>.</u><u>.</u><u>.</u><u>.</u>
