Step-by-step explanation:
TRIANGLE 1
c = 2√5
= 2 × √5
= √4 × √5
= √20
a = 2
b = ?
b² = c² - a²
= √20² - 2²
= 20² - 4
= 400 - 4
= 396
b = √396
= √36 × √11
= 6 × √11
= 6 √11
TRIAGLE 2
a = 12
b = 6√11
= √396
c = ?
c² = a² + b²
= 12² + √396
= 144 + √396²
= 144 + 396
c = √540
= √36 × √15
= 6 × √15
= 6 √15
Sorry if i wrong. Im beginner in USA server
Answer:
Congruence between pentagons
Step-by-step explanation:
The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.
In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)
Each coin has a head and a tail, therefore when you toss two coins, you have 4 possible outcomes. You have two heads in only one of these outcomes, while the other three have at least one tail.
The expected value of the game is the price paid/gained times the probability of loss/victory:
E = (1 / 4) · (-6) + (3 / 4) · (2)
= -3 / 2 + 3 / 2
= 0
Bob expects to tie with Will.
Answer:
b = - 21
Step-by-step explanation:
calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (- 6, 3)
m =
=
= - 4
y = - 4x + b ← is the partial equation
to find b substitute either of the 2 given points into the partial equation
using (- 4, - 5 ), then
- 5 = 16 + b ⇒ b = - 5 - 16 = - 21