Answer:
AC ≅ AE
Step-by-step explanation:
According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.
Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, <em>the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. </em>This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.
Let the number of ride tickets = x tickets.
And the total cost is given by y.
Fair charges $1.25 per ticket for the rides.
Johnny bought = 25 tickets.
Therefore, cost of 25 tickets @ $1.25 per ticket = 25 × 1.25 = $31.25
Total amount spent at the fair = $43.75.
Fair admission charge = Total amount spent - Cost of 25 tickets = 43.75 - 31.25 =$12.50.
Therefore, total cost of the fair = Fix fair admission charge + total cost of x number of tickets @1.25 each.
y = 12.50 + 1.25x.
Therefore, y = 12.50 + 1.25x is the linear equation that can be used to determine the cost for anyone who only pays for x ride tickets and $ 12.50 fair admission.
Answer:
First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
Step-by-step explanation:
Let First integer = n
Second Integer = n+1
Third Integer = n+2
According to the question given (If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third) the equation will be:
138 - n = (n+1) + (n+2)
Solving the equation:
138 - n = n+1+n+2
138 - n = 2n+3
138 - 3 =2n +n
135 = 3n
135/3 = n
=> n= 45
So, First Integer = n = 45
Second Integer = n+1 = 45 + 1 = 46
And Third Integer = n+ 2 = 45 +2 = 47
The slope is 3 and the point is (0,-13)
If we are given a triangle JKL and we assume that this is a right triangle, we can find the measure of the angle LJK by using formulas derived from the Pythagorean Theorem.If opposite side = 10 hypotenuse = 15then, we can use: cos (x) = opposite / hypotenusesin (x) = 10 / 15
