Answer:When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.
here you go
Answer:
2x + (2 × 6)
since we are expanding, we represent 2 multiplying to every expression in the given parentheses
I don't know about how to put that in standard form, but an equation has to have an equals sign... So, that would be an equation.
Answer: The sequence is geometric
Step-by-step explanation:
A geometric sequence is a sequence in which any term after the first term is gotten by multiplication of the previous term by a common ratio , r which is a constant throughout the terms.
While an Arithmetic Progression is a sequence in which any term after the first term is gotten by addition of the previous term by a constant known as the common difference, d.
From this sequence ,400, 480, 576, 691.2, 829.44,
,we can see that the next term is gotten by Multiplication of the previous term by 1.2 .
This was gotten using the formula of common ratio, r which equals
a2/ a= 480/400= 1.2
a3/a2 = 576/ 480= 1.2
a4/a3= 691.2/ 576=1.2
a5/a4= 829.44/ 691.2
Answer:
Step-by-step explanation:
A recursive geometric formula has the pattern:
where r is the common ratio. Before we write the formula, we need to find the value for r. This r value has to be the same between each consecutive number in the series. Because it's geometric, r is multiplied in (whereas it's added in if the sequence is arithmetic). To get from 1/2 to 3/4 we find the r value in this way:
where x/2 is the same as 1/2 x. Cross multiply to get 4x = 6 and x = 3/2. That means that if r is 3/2, then we can multiply every term in that sequence by 3/2 to get to the next term in line. 3/4 times 32 is 9/8. Therefore, r = 3/2 and the formula will be:
