Solve for x: dx+fx=8-2dx

HELP ASAP!!!!!!!!PLEASE Solve for x. Please explain. Thank you

Stella [2.4K]

The values are $x=8$ and $y=10$

Explanation:

From the figure, we can see that the two quadrilaterals are similar.

Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,

∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q

Also, GF = QR and DE = PS

Where QR = $2x-4$ and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q = $(6y+x)$ °

Hence, to determine the value of x for the side QR, we have,

Equating the values in GF = QR,we get,

$12=2x-4\\16=2x\\8=x$

Thus, the value of x is 8.

Substituting x in the angle Q to determine the value of y.

Thus, we have,

∠F = ∠Q

$68=6y+x\\68=6y+8\\60=6y\\10=y$

Thus, the value of y is 10.

Hence, The values are $x=8$ and $y=10$

8 0

3 years ago

Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y

masya89 [10]

The value of a and b for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (x) 9 12 22 40

Height (y) in 5 17 45 60

Mean of x values,

$m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581$

Mean of y values,

$m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75$

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

$y = -76.2038+37.6735\ln(x)$

Compare it with the following logarithmic regression equation, we get

$y = a+b\ln(x)$

$a=-76.2038\\b=37.6735$

Hence, the value of a and b for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

5 0

2 years ago

20. Eight people decide to evenly split the number of Snicker's

Mama L [17]

Answer:

72

Step-by-step explanation:

9x8=72

check your answer by 72 divided by 9.

8 0

3 years ago

Read 2 more answers

Find an equation of the line that satisifes the given conditions. Please help (30 points).

Ronch [10]

First, set up the equation using the point-slope formula (y-y1)=m(x-x1).
y1=-4 x1=-3 m=-7/2
(y+4)=-7/2(x+3)

Second, distribute -7/2.
(y+4)=(-7/2)x - 21/2

Third, subtract 4 from both sides.
(y+4)=(-7/2)x - 21/2
-4 -4
______________
y=(-7/2)x - 29/2

5 0

3 years ago

Help Plss How many solutions do y=5-2x and 4x+2y = 10 have?

tia_tia [17]

y=2x+5

2(2x+5)+4x=10

4x+10+4x=10

8x=20

So there's one solution, x=2.5

5 0

3 years ago