Answer:
. The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.
Step-by-step explanation:
Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.
We write .
We know the jeans cost $45 each, so j=45. We substitute,
We solve for s by subtracting 90 to the other side and dividing the result by 3.
.
The sweaters cost $10 or less each.
Answer:
For all the proofs you start with the given, and work you’re way down the problem.
1)
Statement Reasoning
LM=NO Given
∠LMO≅∠NOM. Given
OM=OM Reflexive Property of Equality
ΔLMO=ΔNOM SAS Congruence Postulate
2)
Statement Reasoning
∠A=∠D Given
CB bisects ∠ACD Given
CB=CB Reflexive Property of Equality
∠ACB=∠BCD Definition of Angle Bisector
∠ABC=∠CBD Definition of Angle Bisector
ΔABC=ΔDBC ASA Congruence Postulate
CA=CD Definition of Congruence
3)
Statement Reasoning
∠T=∠U Given
S is midpoint of TU Given
∠TSN=∠USH Vertical angles are congruent
TS=SU Definition of Midpoint
ΔTSN=ΔUSH ASA Congruence Postulate
SN=SH Definition of Congruent
Functions have one output for every input. So that means one x-coordinate for one y-coordinate. In this case, (3,4) and (3,12) have the same x-coordinate, so it can't be a function.
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions. Along with the sum-of-angles formulae, it is one of the basic relations between the sine and cosine functions.
Answer:
8/12 = 2/3
Step-by-step explanation:
5/12 + 3/12
Since the denominator is the same, we add the numerators
8/12
We can simplify by dividing the top and bottom by 4
2/3
