Answer:
He bought 6 chairs and 10 tables.
Step-by-step explanation:
x+y = 16
he spent = $1800
1 chair = $50
y chairs = $50y
1 table = $150
x chairs = $150x
so, 150x+50y = 1800
we got two equations :
x+ y = 16
150x+50y = 1800
Using. substitution method,
x+y = 16
so, x = 16-y
Now
150x+50y =1800
or, 150(16-y) + 50y = 1800
or, 2400-150y+50y = 1800
or, 2400-1800 = 150y-50y
or, 600=100y
so, y = 6
now,
x+y = 16
or, x + 6 = 16
so, x = 10
Refer to the attached image.
Given:
The measure of
and
.
Also, Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.
To Prove:
is a right angle.
Proof:
Statements Reasons
1.
Given
2.
Given
3.
The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.
4.
Substitution property of equality
5.
Simplification
6.
JML is a right angle. Definition of right angle
Answer:
5. the other angle has to be 2x because of the other lines being equals so
2x+2x+x-15=180
5x-15=180
5x=195
x=19
6. the other two angle is ajacent to the other two so
3x+17+3x+17+x-9+x-9=360
8x+16=360
8x=344
x=43
7. this ones pretty simple
2x-4+3x+5+2x+11=180
7x+12=180
7x=168
x=24
8. this one to
x+x+4+3x-9=90
5x+5=90
5x=85
x=17
Hope This Helps!!!
Answer:
720$
Step-by-step explanation:
(1000+(230*24))-5800=720