please help me answer this question about rectangles

The slope of the line is B. 5/7

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

Remember that:

We want to find the value of x such that [tex]\overline{BC}\parallel\overline{DE}[/tex].

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-5}{11-17}[/tex]

Subtract:

[tex]m=-8/-6=4/3[/tex]

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

[tex]\displaystyle m=\frac{-6-2}{x-(-1)}[/tex]

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

[tex]\displaystyle \frac{4}{3}=\frac{-6-2}{x-(-1)}[/tex]

Solve for x. Simplify the right:

[tex]\displaystyle \frac{4}{3}=\frac{-8}{x+1}[/tex]

Cross multiply:

[tex]4(x+1)=-8(3)[/tex]

Multiply on the right:

[tex]4(x+1)=-24[/tex]

Divide both sides by 4:

[tex]x+1=-6[/tex]

Subtract 1 from both sides:

[tex]x=-7[/tex]

So, the value of x is -7.

And we're done!

Step-by-step explanation:

x= -[tex]\sqrt{[/tex]7x - 4

Answer:

$12 per hour

Step-by-step explanation:

51 -39 =12 minutes 31 -27=12minutes

also took the test

$12 per hour

just took the test hope this helps:)

Answer:

x = -2.38

Step-by-step explanation:

divide 3 to up 3x then 4 and divide them by 2.

Answer:

No solution

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

To find out if the lines that go through the pairs of points are parallel, we must find the slope of each line. If the slopes are equivalent, then they are parallel. If not, then they are not parallel.

We can use the slope formula to find the slope between two points. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope between the points (x₁, y₁) and (x₂, y₂).

Lets first find the slope between points P and Q.

[tex]m=\frac{-5-4}{3-1}=\frac{-9}{2}=-4.5[/tex]

So the slope between P and Q is -4.5.

Now lets find the slope between the points R and S.

[tex]m=\frac{-3-1}{3-(-1)}=\frac{-4}{4}=-1[/tex]

So the slope between R and S is -1.

Since -4.5 does not equal -1, the lines are not parallel.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: x= -9/5   or x = -1.8

Step-by-step explanation:

4x + 30 = -6(x - 2)   First apply the distributive property on the left side

4x + 30 = -6x + 12      Add 6x to both sides

+6x           +6x

   10x + 30 = 12     Subtract 30 from both sides

           -30    -30

10x = -18     Divide both sides by 10

 x = -9/5     or x = -1.8

Answer:

the answer is -1.8 if you want to use the decimal and -9/5 if you want to use the fraction

Step-by-step explanation:

4x + 30 = -6(x - 2)

4x+30 = -6x + 12

4x + 6x = 12 - 30

10x = -18

divide both side by 10

x = -9/5 or -1 4/5 or -1.8

( also not trying to gatekeep so i wanna say that i got this answer from an app named photomath. i scanned the question in the camera and it pulled the answer. hoped it helped love!)

Square of 9 is 81 and it is less than 100

Answer:

a= [tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Equate the equation to zero

[tex]10a^{2}[/tex]-9a+2=0

[tex]10a^{2}[/tex]-5a-4a+2=0

5a(2a-1)-2(2a-1)=0

Write out the factors

(5a-2)(2a-1)=0

Then equate each factor to zero

5a-2=0 OR 2a-1=0

5a=2  OR  2a=1

a= [tex]\frac{2}{5}[/tex]   OR a= [tex]\frac{1}{2}[/tex]

a=[tex]\frac{2}{5}[/tex] or [tex]\frac{1}{2}[/tex]

Answer: C

Step-by-step explanation:

Answer:

-50

Step-by-step explanation:

Answer:

Total capacity of the water tank is 400 gallons

Rate of change in water level is 20 gallons per hour

Step-by-step explanation:

The graph attached represents the gallons of water in a water tank with respect to the number of hours since it was completely filled.

The total capacity of the water tank is represented by the y-intercept of the graph that is 400 gallons.

Now to calculate the rate of change in water level we will take two points on the given line and find the slope.

There are two points (0, 400) and (5, 300) on the line.

So the slope of the line is (400-300)/(0-5)=  -100/5=  -20

This minus notation of slope shows that level of water is reducing and rate of change in water level is 20 gallons per hour.

Answer:

D a reflection over the x axis by a reflection over the y axis

Step-by-step explanation: if u put the triangle on the button left up then move it to the upper right it’s congruent.

Answer: A rotation of 270° clockwise about the origin followed by translation left 1 and up 10

Step-by-step explanation:

Answer:

9/12

Step-by-step explanation:

The required value of variable m is 15.

Gvien that,
A line segment AC is given, On which B is the midpoint,
AB = 3m + 5
and BC = 4m - 10
AB = BC

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

AC is the line segment where B is the midpoint on the line AC. So,
AC  = AB + BC
AB = BC
3m + 5 = 4m - 10
m = 15

Thus, the required value of variable m is 15.

Learn more about function here:

brainly.com/question/21145944

#SPJ2

Answer: It will take 12 minutes to the reach the park.

Step-by-step explanation:

We know that, [tex]\text{Speed }=\dfrac{\text{distance}}{\text{time}}[/tex]

[tex]\Rightarrow\ \text{Time}=\dfrac{\text{Distance}}{ \text{Speed}}[/tex]

Given: Speed = 50 miles per hour

Distance needs to travel =  10 miles

Now, Time required to reach the park = [tex]\dfrac{10}{50}=\dfrac{1}{5}\text{ hour}[/tex]

Since 1 hour = 60 minutes

So, [tex]\dfrac15\text{ hour}=\dfrac15\times 60=12\text{ minutes}[/tex]

Hence, it will take 12 minutes to the reach the park.

Answer:

t represents the time in minutes since the balloon started descending.

a(t) represents the altitude of the balloon at t minutes.

a(5.5) gives the altitude at 5.5 minutes.

Answer:

What does t represent?

✔ time after the balloon begins to descend

What does a(t) represent?

✔ altitude of the balloon

What information will a(5.5) give?

✔ altitude of the balloon after 5.5 minutes

Step-by-step explanation:

edge 2021

plz make me brainliest

Answer:

71.32 feet

Step-by-step explanation:

We set up a trigonometric function to get height of tree

Distance ,x = 35 feet away from tree base

Angle = 62⁰ at eye level

Y = tan(angle) * x

= Y = tan(62⁰) x 35

Y = 1.881 x 35

Y = 65.82 feet

We add Tamara's height to the total height of the tree

= 65.82feet + 5.5 feet

= 71.32 feet is the height of the tree

Answer:

1)5-5x

2)3+1.5x

Step-by-step explanation:

5-5(7)=-30

3+1.5(7)=13.5

The equation with (x) in dogs and (y) in dollars is  [tex]y=195x[/tex]

First, you must set up your equation.

[tex]y=80x+65x+50x[/tex]

Then, you must add like terms to simplify the equation

[tex]y=195x[/tex]

Answer:y=195x

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

to find slope use the question:

y2-y1

x2-x1

8-3

1--2

5

3

Answer:

get photo math it will help alot

Answer:

[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]

As we know,sum of angles on a straight line is 180 degree..

(5z-4)+90+39=180

=>5z-4+90+39=180

=>5z-4+129=180

=>5z+125=180

=>5z=180-125

=>z=55÷5

Hence,the value of z=11 degree

Answer:

y = 12 → (0|12)

Step-by-step explanation:

f(x) = (x - 6)(x - 2)

y = (x - 6)(x - 2)

y = x² - 6x - 2x + 12

y = x² - 8x + 12

y = 0² - 8*0 +12

y = 12

Answer: 18

Step-by-step explanation:

27 strawberries divided by 3 strawberries = 9

2 watermelon times 9 = 18 watermelon

Answer:

480,000 words

Step-by-step explanation:

For barrel of pen:

h = 7 cm, d = 5 mm

r = 5/2 = 2.5 mm = 0.25 cm

[tex]Volume \: of \: barrel = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times {(0.25)}^{2} \times 7 \\ \\ = 22 \times 0.0625 \\ \\ = 1.375 \: {cm}^{3} \\ \\ one \: fifth \: of \: a \: litre \\ = \frac{1}{5} \times 1000 \: ml \\ \\ = 200 \: ml \\ \\ = 200 \: {cm}^{3} \\ \\ no \: of \: words = \frac{3300 \times 200}{1.375} \\ \\ = \frac{660000}{1.375} \\ \\ = 480,000 \\ [/tex]