X and y are the numbers
x>y
diffference is 42
x-y=42
larger is 3 less than 6 times smaller
x=-3+6y
subsitute -3+6y for x
x-y=42
-3+6y-y=42
-3+5y=42
add3 to both sides
5y=45
divide both sides by 5
y=9
sub back
x=-3+6y
x=-3+6(9)
x=-3+54
x=51
the numbers are 51 and 9
Answer:
A square
Step-by-step explanation:
A parallel cross section will be the same shape of the base. Since it's a square base, all parallel cross sections will also be parallel. Think of it as a different floor of a pyramid shaped building.
Answer:
72 degrees
Step-by-step explanation:
Referencing off of line t being a straight line, a straight line is 180 degrees. If you subtract 108 from 180, you would get 72. Since this intersecting line is going through 2 paralel lines, the 2 groupings of angles reflect each other.
Answer:
Step-by-step explanation:
first pic
Statement. Reasons
1. AC is congruent to 1.Given
HF
2.BC is congruent to. 2. Given
FE
3. Measure angle ACB. 3. Right angles are congruent
is congruent to Measure
angle HFE
4. Triangle ABC is
congruent to Triangle HEF 4. SAS, side angle side
second pic
statement. reason
1.Angle K is congruent 1. Given
to angle M
2.KL equals ML. 2. Given
3.Measure angle KLJ. 3.Vertical angles are congruent
is congruent to Measure
angle MLP
4Triangle JKL is congruent. 4. ASA, angle side angle
to triangle PML
third pic
statement. reason
1. Already stated. 1. Already stated
2 PT congruent to RS. 2. Given
3. Angle PQT congruent 3. Verticle angles are congruent
to Angle RQS
4. trianlge PQT is congruent to Triangle RQS. 4. ASA, angle side angle
( hope this helps! )
Answer:
B
Step-by-step explanation:
- He adds 5 coins each month
- x represents the number of months
>60 means greater than 60
So the inequality would be 30 + 5x > 60
