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aalyn [17]
3 years ago
5

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

<u>Step 1</u>

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

<u> Step 2</u>

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

<u>Step 3</u>

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

<u>Step 4</u>

<u>Answer :</u> The value of x is 415

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Let the required number is 2x ,





According to the condition,



➡ 10 times the sum of half of 2x and 6 = 8

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Therefore the value of x is -5.2


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3 0
3 years ago
How do I solve this equation
Anestetic [448]
-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts.  First we have to solve for one of the variables in one of the equation in terms of the other variable.  I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8      add y to each side
-x = 8 + y      divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation.  In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1      multiply the 2 through the parentheses
-16 - 2y - y = -1      combine like terms
-16 - 3y = -1            add 16 to both sides
-3y = 15                   divide each side by -3
y = -5

Now we have a value for y.  We need to plug it into either of the original equations then solve for x.  I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8            multiply -1 through the parentheses
-x + 5 = 8                subtract 5 from each side
-x = 3                      divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0
3 years ago
What is the value of the expression when b= -4 and C=1
babymother [125]

Answer:

B would equal -4

Step-by-step explanation:

7 0
2 years ago
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Arlecino [84]
The answer is 30. 5/10 is equal to 15/30
5 0
2 years ago
I NEED HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
ser-zykov [4K]

Answer:

58 square feet

Step-by-step explanation:

The room is already broken down into two smaller rectangles.

The smaller of the two measures 4 ft by 2 ft. A=lw, so substitute 4 for l and 2 for w.

A(smaller rectangle) =(4)(2), or (4*2).

A(smaller rectangle) =8

The larger measures 10 ft by 5 ft, so using the same method, multiply l times w.

A(larger rectangle) =(10)(5), or (10*5).

A(larger rectangle) =50

Add the two rectangles' areas together to find the total area of the room.

8 + 50 = 58

8 0
3 years ago
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