Answer:
1 = 68
2 = 68
3 = 125
Step-by-step explanation:
Hey there!
To find angle 1 all we have to do is subtract the given angles from 180 because remember all of the angles in a triangle add up to 180
180-73-39=68
1=68
angle 2 is vertical to angle 1 therefore they are congruent angles so
2 also equals 68
So we know that the interior angles in a 4 sided shape add up to equal 360
so to find 3 we subtract the given angles from 360
360-90-77-68=125
so 3 = 125
Answer:
They keep removing my answer but it’s -6
Step-by-step explanation:
Answer:
2. Judy =$5
Ben= $4
Step-by-step explanation:
2. Let Judy = x and Ben = y
8x + 10y = 80
9x + 5y = 65
Solve these simultaneous equations.
8
x + 10
y = 80
18
x + 10
y = 130
Take the second equation away from the first equation
−
10
x = −
50
x = 5
This means that Judy gets paid $5 an hour.
Therefore, Ben gets paid $4 an hour.
Answer:
3. 24 quarters and 16 dimes
Step-by-step explanation:
3. Let the number of dimes = x and the number of quarters = y
Value Value
Type Number of of
of of EACH ALL
coin coins coin coins
-------------------------------------------
dimes x $0.10 $0.10x
quarters y $0.25 $0.25y
-------------------------------------------
TOTALS 40 $7.60
x + y = 40
0.10x + 0.25y = 7.60
Get rid of decimals by multiplying every term by 100:
10x + 25y = 760
So we have the system of equations:
x + y = 40
10x + 25y = 760
We solve by substitution. Solve the first equation for y:
x + y = 40
y = 40 - x
Substitute (40 - x) for y in 10x + 25y = 760
10x + 25(40 - x) = 760
10x + 1000 - 25x = 760
-15x + 1000 = 760
-15x = -240
x = 16 = the number of dimes.
Substitute in y = 40 - x
y = 40 - (16)
y = 24 quarters.
$1.60 + $6.00 = $7.60
I hope that helped, sorry for taking so long :-)
The 3rd one. (where the round part of the graph is at 0, 0) because that is where the y axis meets
1/2*3*4=6
Explanation:
The height is 3 cm and the base is 4cm.
I believe 5 is there to trick you. The bottom Is always the base and the straight line going vertically is always the height.
1/2*3*4=6
