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2 years ago

Solve the equation and show all work please show steps!! 4f + 11 = 29

2 answers:

8 0

Hello,

The answer is "x=4.5 or 5".

Reason:

Write the equation:

4f+11=29

Subtract 11 on both sides:

29-11=18

4f=18

Now divide 18 by 4:

18/4=4.5 (rounded to the whole number)

f=5

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

natali 33 [55]2 years ago

3 0

4f+11=29
4f=29-11
4f=18
f=9/2

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The sum of two numbers is 60 and the difference is 2 what are the numbers.

oksian1 [2.3K]

Let the two numbers be x and y
Then
x + y = 60
And
x - y = 2
x = y + 2
Putting the value of x in the first equation we get
x + y = 60
y + 2 + y= 60
2y + 2 = 60
2y = 60 - 2
2y = 58
y = 58/2
y = 29
Now putting the value of y in the first equation we get
x + y = 60
x + 29 = 60
x = 60 - 29
x = 31
So the value of the two numbers comes out to be 31 and 29. I hope the procedure is clear enough for you to understand.

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3 years ago

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Step-by-step explanation:

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2 years ago

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3 years ago

OM , ON and OP are the angle bisectors of ∠AOB, ∠BOC, and ∠COD respectively. ∠AOD and ∠BOE are straight angles.

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Find m∠BOC, if m∠MOP = 110°.

Answer:

m∠BOC= 40 degrees

Step-by-step explanation:

A diagram has been drawn and attached below.

OM bisects AOB into angles x and x respectively
ON bisects ∠BOC into angles y and y respectively
OP bisects ∠COD into angles z and z respectively.

Since ∠AOD is a straight line

x+x+y+y+z+z=180 degrees

$2x+2y+2z=180^\circ$

We are given that:

m∠MOP = 110°.

From the diagram

∠MOP=x+2y+z

Therefore:

x+2y+z=110°.

Solving simultaneously by subtraction

$2x+2y+2z=180^\circ$

x+2y+z=110°.

We obtain:

x+z=70°

Since we are required to find ∠BOC

∠BOC=2y

Therefore from x+2y+z=110° (since x+z=70°)

70+2y=110

2y=110-70

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Therefore:

m∠BOC= 40 degrees

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