There are 
ways of getting exactly 5 heads in 10 tosses. There are 
possible outcomes. So the probability of getting exactly 5 heads is
If we take the number of Zebras to be x and that of peacocks to be y
Then x + y = 14
A zebra has 4 legs while a peacock has 2 legs,
Therefore the total number of legs will be 4x + 2y which is equal to 36 .
Therefore, we have two equations
x + y = 14
4x + 2y = 36 solving them simultaneously using elimination
4x +2y = 36
2x + 2y = 28 ( multiplying the first equation by 2 to eliminate y)
2x = 8 ( subtracting the equations)
x = 4
y = 14 -(4)
= 10
Therefore, there are 4 zebras and 10 peacocks in the zoo
Answer:
D
Step-by-step explanation:
Lengths:
WX: 2
XY: 2
WY: sqrt[(4-2)² + (2-4)²]
sqrt(4+4)
4sqrt(2)
W'(8, 16), X'(8, 8), Y'(16, 8)
W'X': 8 --> 4 × 2
X'Y': 8 --> 4 × 2
W'Y': sqrt[(16-8)² + (8-16)²]
sqrt(64 + 64)
8sqrt(2) --> 4 × 2sqrt(2)
D is a dilation with factor 4
<em>Congruent triangles</em> are two or more triangles with the same length of <u>sides</u> and measure of internal <u>angles</u>. Thus the <em>required</em> proof is as shown below:
From the given diagram, it can be <u>observed</u> that:
AB = AC (<em>similar</em> property of two lines)
AC = AE (<u>similar </u>property of two lines)
Also,
m<A is a <u>common</u> angle to ΔABC and ΔADE
So that it can be <em>concluded </em>that;
ΔABC ≅ ΔADE (Side-Angle-Side property)
Thus since ΔABC ≅ ΔADE are <u>congruent</u>, then;
BC = DE (<u>corresponding</u> sides of <em>congruent</em> triangles)
For further clarifications on congruent triangles, visit: brainly.com/question/1619927
#SPJ1
4^3
Write 4 (3 times) because of the exponent.
4*4*4
= 16*4
= 64
Answer: 64
