<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)
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Answer:
The domain is
.
Step-by-step explanation:
Domain is the input to a function. The input to a function is marked along the x axis as the x values are the independent values and thus are in the domain of the function.
From the graph, the function starts at
when the point is (3,1) and then the graph of the moves towards infinity.
So, the domain of the function starts at 3 and move towards infinity.
Hence, the domain include the
values between 3 to infinity including 3.
1 feet = 12 inches
length of car in inches = 108 inches
length of model = 6 inches
length of car/ length of model = 108/6 = 18:1
Find the circumference to see how much of the wheel is touhing the ground
c=2pir
c=2pi1.9
c=2.8pi
2.8pi=distance per 1 rotation
number of rotations per second times 2.8pi=12feet per second
dvide both sides by 2.8pi
number of rorations per second=12/2.8pi
number of roations per second=6/1.4pi
number of roations per second=3/0.7pi
number of roations per second=30/7pi
aprox
number of roations per second=1.364 rotations per second
The expected value of x is 10.
It is given that the number of dice that are showing an even number is a binomial random variable with n = 4, and p = 1/2 (because half the faces on the die are even and half are odd).
The expected value of this random variable is n*p = 4*1/2 = 2.
The number of points is simply 5 times this random variable, and by the rules of expected value, E(C*Y) = C*E(Y), where C is a constant and Y is a random variable.
Thus E(X) = 5*2 = 10.
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