Jim is 19
let fathers age be x then mothers age = x - 5 and Jim's age is
(x - 5)
Total their ages and equate to 100
x + x - 5 +
(x - 5 ) = 100
multiply through by 2 to eliminate the fraction
2x + 2x - 10 + x - 5 = 200
5x - 15 = 200 ( add 15 to both sides )
5x = 215 ( divide both sides by 5 )
x = 43
father is 43 years, mother is 38 and Jim is 19
Answer:I cannot see photo
Answer:
c. 3.2
Step-by-step explanation:
5(x+2)=7(4-x)
5(x+2)=7(-x+4)
5x+5*2=-7x+7*4
Answer:
1. D. ray PS
2. C. angle GFE
3. A. 30 deg
Step-by-step explanation:
1. To name a ray, use two points on the ray. The first point must be the endpoint. The second point can be any point on the ray.
ray PS and ray PT are both correct.
Choose D. ray PS
2. Two ways of naming an angle are: 1. Use just the vertex point. 2. Use three points: a point on one ray, the vertex, a point on the other ray in that order.
This angle can be named:
angle EFG
angle GFE
angle F
Choose C. angle GFE
3. Angles CBE and ABD are vertical angles. Vertical angles are congruent. They have the same measure. Since angle ABD measures 30 deg, then angle CBE also measures 30 deg.
Choose: A. 30 deg
Given:
QR is parallel to RS.
To find:
The value of x.
Solution:
In the given figure, we have,


Using basic proportionality theorem (BPT), we get


On cross multiplication, we get




Divide both sides by -6.


Therefore, the value of x is 5.