Answer:
Step-by-step explanation:
Given that,
We know that,
So,
So,
So, the value of the given expression is equal to
(x+2)/15=(3x+3)/15
x+2=3x+3
-1=2x
x=-1/2
hope this helps!
Answer:
Linear
Step-by-step explanation:
x values increase by one
y values increase by 5
exponential doesn't follow linear patterns
Answer:
See below.
Step-by-step explanation:
All statements of congruent angles and congruent segments are correct.
A similarity statement can be written ...
Write a similarity statement ...
ABCD ~ HJKL
The reason written in the problem is incorrect. The polygons are similar, not congruent, so you cannot state that they are congruent as a reason for them to be similar.
This is the correct reason:
"The reason as why the two shapes are similar is that each angle A, B, C, D is congruent to each corresponding angle H, J, K, L, respectively, and the lengths of corresponding sides are proportional."
"A similarity ratio is a ratio that compares the <u>lengths</u> of the corresponding sides of two similar polygons. The ratio is written in the same order as the <u>two</u>
<u>polygons.</u>"
For the similarity ratio, we use two corresponding sides.
AB = 8; HJ = 12
AB/HJ = 8/12 = 2/3
The similarity ratio of ABCD to HJKL is 2/3.
Answer:
(44, - 27 )
Step-by-step explanation:
Given the 2 equations
5x + 8y = 4 → (1)
2x + 3y = 7 → (2)
Multiplying (1) by 2 and (2) by - 5 , then adding the result will eliminate x
10x + 16y = 8 → (3)
- 10x - 15y = - 35 → (4)
Add (3) and (4) term by term to eliminate x
y = - 27
Substitute y = - 27 into either of the 2 equations and solve for x
Substituting into (2)
2x + 3(- 27) = 7
2x - 81 = 7 ( add 81 to both sides )
2x = 88 ( divide both sides by 2 )
x = 44
solution is (44, - 27 )