Given:
Sum of two consecutive integers is 325.
To find:
The number that is the least of the two consecutive integers.
Solution:
Let the two consecutive integers are x and x+1. So,
Subtract 1 from both sides.
Divide both sides by 2.
The second integer is
Since , therefore, the least of the two consecutive integers is 162.
A: 5+5+6=11 units
B. You can find the height by dividing the traingle into 2 right traingles with 5 being the hypotenuse and 3 being one of the legs.
5^2=3^2+x^2
25=9+x^2
16=x^2
x=4
Area= 6*4/2= 12 units^2
C. 12*6=$72
Answer:
A
Step-by-step explanation: I think
Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
the salesperson earns a fixed cost of $ 30 plus 2/9th of his sales
we have to find how many sales he gets to earn $ 100 for one day
so lets say that the number of sales for the day - x sales
and he earns 2/9th of his sales
therefore amount he earns for x sales is -
this value plus his fixed earnings of $ 30 per day
so the amount he earns is 2x/9 + 30
this equals $ 100
so we can write the following equation
2x = 70 * 9
2x = 630
x = 315
so the amount of sales he earns for that day is 315 sales