Answer:
The answers are below
Step-by-step explanation:
The greater sign is > and the less then symbol is <
Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.
In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3
In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is x > 3
Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3
If you're wondering what the open dots and closed dots mean:
An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).
A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).
Answer: x = 7
Step-by-step explanation:
24 = 2x + 10
24 - 10 = 2x + 10 - 10 (Subtract 10 from both sides)
14 = 2x
14/2 = 2x/2 (Divide both sides by 2)
7 = x
x = 7
Answer:
segment EG over segment LN equals segment FG over segment MN
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
The corresponding sides are
EF and LM
EG and LN
FG and MN
The corresponding angles are
∠E≅∠L
∠F≅∠M
∠G≅∠N
therefore
EF/LM=EG/LN=FG/MN=3/1
Answer:
-11/30, -1/6, 2/5
Step-by-step explanation:
first, make the question in the same denominator
= 12/30, -5/30, -11/30
= -11/30, -5/30, 12/30
= -11/30, -1/6, 2/5
