Given
m∠1 = 62°
lines t and l intersect
Prove: m∠4 = 62°
To proof
Angle addition property
Two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles.
As shown in the diagram
m ∠1 + m∠ 2 = 180 °
( by linear pair property )
Given:
m∠1 = 62°
Put in the above equation
we get
m∠ 2 = 180° -62°
m ∠2= 118°
Also
m∠ 2 + m∠4 = 180°
( By linear pair property )
m∠4 = 180° - 118°
m ∠4 = 62°
Hence proved
I don't understand
one way you could consider 'simplifying' is to make all numbers whole and simplest form
I will put it into stardard form which is ax+by=c
make all numbers whole
2.1x-0.9y=15
multiply everybody by 10
21x-9y=150
divide everybody by 3
7x-3y=50
Answer:
Step-by-step explanation:
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer
Step-by-step explanation:
Sn=n/2{2a+(n-1)d}
=10(4+95)
=10(99)
=990
