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Inga [223]
3 years ago
10

Solve for X Please and thanks

Mathematics
1 answer:
Tpy6a [65]3 years ago
4 0

<u>Given</u>:

The measure of ∠ABD is (4x + 15)°

The measure of ∠DBC is (13x + 7)°

We need to determine the value of x.

<u>Value of x:</u>

Since, we know the property that every angle in a rectangle is 90°

Hence, the value of x can be determined by adding the two angles and equating to  90°

Thus, we have;

\angle ABD+\angle DBC=90^{\circ}

Substituting the values, we have;

4x+15+13x+7=90

              17x+22=90

                      17x=68

                          x=4

Thus, the value of x is 4.

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Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 2
Aleksandr-060686 [28]

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

6 0
3 years ago
He completed 2 and 4/5 rows of grapes each hour he worked after completing 140 rows of grapes how many hours had he worked?
algol [13]

Step-by-step explanation:

Divide 140 by 2\frac{4}{5} to represent the amount of hours he worked.

To make dividing easier, 2\frac{4}{5} can also represent 2.8 as a decimal.

\frac{140}{2.8} =50

He has worked 50 hours after completing 140 rows of grapes.

4 0
2 years ago
Solve the equation identify extraneous solutions
PIT_PIT [208]

Answer:

Step-by-step explanation:

The goal to solving any equation is to have x = {something}.  That means we need to get the x out from underneath that radical.  It's a square root, so we can "undo" it by squaring.  Square both sides because this is an equation.  Squaring both sides gives you

x^2=-3x+40

Get everything on one side of the equals sign and set the quadratic equal to 0:

x^2+3x-40=0

Throw this into the quadratic formula to get that the solutions are x = 5 and -8.  We need to see if only one works, both work, or neither work in the original equation.

Does 5=\sqrt{-3(5)+40}?

5=\sqrt{-15+40} and

5=\sqrt{25}

and 5 = 5.  So 5 works.  Let's try -8 now:

-8=\sqrt{-3(-8)+40} and

-8=\sqrt{24+40} so

-8=\sqrt{64}

-8 = 8?  No it doesn't.  So only 5 works. Your choice is the third one down.

6 0
3 years ago
ellum...........................................11..............................................................................
Naddika [18.5K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
At the city museum, child admission is $5.30 and adult admission is $9.60. On Thursday, 117 tickets were sold for a total sales
ExtremeBDS [4]
The answer is 160 children’s tickets were sold that day
6 0
3 years ago
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