Answer:ksksksk
Step-by-step explanation:ggg
Answer:
LM = 2.82 ft
MN = 2.39 ft
Step-by-step explanation:
We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF
LH // MJ // NK
GL / GH = LM / HJ = MN / JK
11.3 / 10.4 = LM / 2.6 = MN / 2.2
LM = 11.3 / 10.4 x 2.6 = 2.82
MN = 11.3 / 10.4 x 2.2 = 2.39
Answer:
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
Step-by-step explanation:
Let the present age of daughter be x
Let the present age of father be y
5 years ago;
Daughter's age = x - 5
Fathers age = y - 5
If the present age of father is thrice as old as the age of daughter 5 years ago, then;
y - 5 = 3(x-5)
y - 5 = 3x-15
y = 3x - 10 .... 1
In 5 years time;
Daughters age = x + 5
Fathers age = y + 5
If the age of father will be twice the age of his daughter in 5 years time then;
y+5 = 2(x+5)
y+5 = 2x + 10
y = 2x + 5 .....2
Equate 1 and 2;
3x - 10 = 2x + 5
3x - 2x = 5 + 10
x = 15
Since y = 2x + 5
y = 2(15) + 5
y = 35
<em>Hence the daughter's present age is 15 years</em>
<em>The fathers present age is 35 years</em>
<em></em>
Answer:
Solving the inequality we get: 
Step-by-step explanation:
We need to solve and graph the inequality 
Solving:
Step 1: Multiply 3 with terms inside the bracket
Step 2:Subtracting 51 on both sides
Step 3: Subtract 14x on both sides
Step 4: Divide both sides by 7
Solving the inequality we get:
The graph is attached in the figure below.
AD = DB
Angle ADE = Angle CDB
Angle DAE = Angle DBC (Alternate angles)
Angle DEA = Angle DCB (Alternate angles)
Since you have two congruent angles and one congruent side, triangle ADE is congruent to triangle CDB. This means that DE is congruent to DC implying D is the midpoint of CE.
