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3 years ago

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.

You might be interested in

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