B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
Answer:
B
Step-by-step explanation:
Answer:
10 in
Step-by-step explanation:
We are given that
Diameter of cactus=d=12 in
Radius of cactus=
Distance of lizard from point of tangency=8 in
We have to find the direct distance between lizard and cactus.
In triangle OAB,
OA=6 in
AB=8 in
Pythagorous theorem:
Using pythagorous theorem
Hence, the direct distance of lizard from cactus=10 in
The probability that Emma has heart disease and the test predicts heart disease is:
48%
Let A denote the event that Emma has a heart disease.
and B denote the event that the test predicts accurate.
Hence, A∩B denote the event that Emma has heart disease and the test predicts heart disease.
From the given equation we have:
P(A)=0.6
and P(B)=80%=0.8
As we know that event A and event B are independent.
Hence, we have:
P(A∩B)=P(A)×P(B)
⇒ P(A∩B)=0.6×0.8
⇒ P(A∩B)=0.48=48%
Hence, the probability is:
48%
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2