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:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
The 32,500 is the original cost of the truck and the (0.92) You take v(x)=32,500(0.92)
and raise that to the 2nd power, to represent the 2nd year and you will get an answer of $27,300.
Each year the truck is losing $2,600 in value, after two years the truck has lost $5,200 in value equalling
= $27,300
Try 4 because a die has six sides and 6-2=4
C = -840
Isolate C by subtracting 900 on both sides:
C = 60-900
Which then gives u C = -840