7 / 33 + 13 / 27
7 / 46 / 27
Multiply them all to get... 8,694
Answer:
0.815
Step-by-step explanation:
First, find the z-scores.
z = (x − μ) / σ
z₁ = (8 − 10) / 1
z₁ = -2
z₂ = (11 − 10) / 1
z₂ = 1
P(-2 < Z < 1) = P(Z < 1) − P(Z < -2)
Use a chart, calculator, or the empirical rule to find the probability.
Using the empirical rule:
P(-2 < Z < 1) = 0.84 − 0.025
P(-2 < Z < 1) = 0.815
Using a chart:
P(-2 < Z < 1) = 0.8413 − 0.0228
P(-2 < Z < 1) = 0.8185
2 lines parallel, and 2 triangles have a common angle
So the smaller Δ is similar to the bigger Δ (AA Similarity)
9:(4x-2)+9=12:(3x+2)+12
9:4x+7=12:3x+14
9(3x+14)=12(4x+7)
27x+126=48x+84
21x=42
x=2
So the answer is x=2
Given that the ratio of three trays is A : B : C = 2 : 3 : 4
Let us consider the common factor among the number of trays be "x".
If we need to make a total of 171 trays, then the equation of sum of trays would be :-
Type A + Type B + Type C = 171
2x + 3x + 4x = 171
9x = 171
x = 
= 19
So we have following number of trays :-
Number of type A trays = 2x = 38 trays.
Number of type B trays = 3x = 57 trays.
Number of type C trays = 4x = 76 trays.
Now if each tray contains 20 cookies, then we would have following arrangements :-
Cookies in type A trays = 38×20 = 760 cookies.
Cookies in type B trays = 57×20 = 1140 cookies.
Cookies in type C trays = 76×20 = 1520 cookies.
Answer:
Step-by-step explanation:
From the figure attached,
In the given right triangles ΔADB and ΔCDB,
Statements Reasons
1). ∠BAD ≅ ∠BCD 1). Given
2). BD ≅ BD 2). Reflexive property
3). ΔADB ≅ ΔCDB 3). By LA theorem of congruence of right triangles
Therefore, there is sufficient information to prove the ΔADB and ΔCDB congruent.
Leg-angle theorem (L-A) will be used to prove the right triangles congruent.
