Given m||n, find the value of x.

1.Distribute

-30=5(x+1). x

[tex]-30=5x^{2}+5x[/tex]

2. Move terms to the left side

[tex]-30=5x^{2} +5x[/tex]

[tex]-30-(5x^{2} +5x)=0[/tex]

3. Rearrange terms

[tex]-30-5x^{2} -5x=0[/tex]

[tex]-5x^{2} -5x-30=0[/tex]

Hope this helps! Sorry if I'm wrong

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]

[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]

[tex]\large\text{TURN the EQUATION}[/tex]

[tex]\large\textsf{5(x + 1) = -30}[/tex]

[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]

[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]

[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]

[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]

[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]

[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]

[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]

[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]

[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]

[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]

[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer and Step-by-step explanation:

Each unit is equal to each other, and we know that both allowances together equates to 72, so if we divide the amount of units that there are, we can determine the amount per month.

There are 8 units in total.

72 divided by 8 = 9

Now, we do 9 times the amount each person has.

You = 5 * 9 = 45

Friend = 3 * 9 = 27

#teamtrees #PAW (Plant And Water)

Answer:

x=10

Step-by-step explanation:

180-170 as 180 is the whole sttaight line

Answer:

height: 7 in

base: 14 in

Step-by-step explanation:

Let the height of the triangle equal x. This means that the base can be represented by the expression 2x. Now we plug these values into the area formula for a triangle:

A = bh / 2

49 = x * 2x / 2

And simplify

49 = x^2

We can find the square root of both sides to get x = 7, so the height is 7 inches. Since the base is twice the height, it is 14 inches.

Answer:

[tex]h=7,\\b=14[/tex]

Step-by-step explanation:

Since the base is twice as long as the height, set up the following proportion:

[tex]b=2h[/tex].

The area of the a right triangle is equal to [tex]A=\frac{1}{2}bh[/tex], where [tex]b[/tex] is a base of the triangle and [tex]h[/tex] is the respective height.

To solve for height, set up the equation (substituing [tex]b=2h[/tex]:

[tex]\frac{1}{2}\cdot2h\cdot h=49,\\2h^2=98,\\h^2=49,\\h=\boxed{7}[/tex]

To solve for base, substitute [tex]h=7[/tex] in the proportion [tex]b=2h[/tex]:

[tex]b=2(7),\\b=\boxed{14}[/tex]

Answer:

-4.5

Step-by-step explanation:

Step-by-step explanation:

Given :-

And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .

Standard equation of circle :-

[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]

[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]

Answer:

1.5 gallons of juice

a. 10 gallons

b. none

c. 10 gallons (all water)

hope its right!!! good luck

Step-by-step explanation:

Answer:

I'm not sure but I think it could be 1440cm³

Step-by-step explanation:

have a great rest of ur day

Answer:

because the graphs of the two equations overlap each other

Step-by-step explanation:

Equations that have an infinite amount of solutions overlap each other when graphed.

This is because equations with an infinite amount of solutions have a similar equation so when graphed you only see one line

Answer:

10y + 29 ≤ -23

Step-by-step explanation:

subtract 29 from each side to get:

10y ≤ -52

y ≤ -5.2

In ascending order,

36, 43, 50, 51, 58, 59, 60, 69, 73

N=9

median (Q2)= N+1/2

or, Q2= 9+1/2

or, Q2= 10/2

= 5th item

Therefore, the median is 58.

I don't know if this is correct or not.

Answer:

The answer is 2618m

Answer:

2618

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

The formula for the area of a segment is ...

  A = 1/2r²(θ -sin(θ))

for radius r and central angle θ.

Here, we have θ = π/2, so this becomes ...

  A = 1/2r²(π/2 -1) . . . . . matches choice D

Answer:  -52.2936778905

Step-by-step explanation:

Answer:

0.872

Step-by-step explanation:

The regression fits the data well leavubgbiut just one of the points, this shows there is a strong relationship between the plotted variables. Also, we have to look at the direction of the regression line which will give us an idea of the slope, hence the type of correlation between the two variables (either positive or negative relationship). In this case the slope is positive and hence the correlation Coefficient will be positive as well. Hence we can say there is a strong positive relationship between the variable. The only option which depicts this association is 0.872

Answer:

I am so confused I don't know how to answer this.

Answer: September

Step-by-step explanation:

The bar for September is the highest above the horizontal axis.

Always know the formula for volume prism because that shape is a prism.

Formula For PRISM: BH/2 x Height.

So then we are going to solve the triangle first... 7 x 22= 154/2= 77

Then multiply by the height which is 25.

77 x 25= 1,925.

So your answer should be 1,925 meters cubed. *Don't forget to write the measurement

*hope this helps

Answer:1925

Step-by-step explanation:

Given:

The figure of a circle.

The measure of arc SR = 75 degrees.

Measure of angle RSQ = 95 degrees.

To find:

The measure of SQ.

Solution:

Let us consider, O be the center of the circle.

According to the central angle theorem, the measure central angle on an arc is twice of inscribed angle on the corresponding angle.

Using the central angle theorem, we get

[tex]m\angle QOR=2\times m\angle RSQ[/tex]

[tex]m\angle QOR=2\times (95^\circ)[/tex]

[tex]m\angle QOR=190^\circ[/tex]

It is the central angle on major arc QR.

We know that the measure of complete central angle is 360 degrees.

The central angle on minor arc QR is:

[tex]360^\circ -190^\circ =170^\circ[/tex]

It means the measure of arc RSQ is 170 degrees.

[tex]m(arc RS)+m(arc SQ)=m(arcRSQ)[/tex]

[tex]75^\circ+m(arc SQ)=170^\circ[/tex]

[tex]m(arc SQ)=170^\circ -75^\circ[/tex]

[tex]m(arc SQ)=95^\circ[/tex]

Therefore, the measure of arc SQ is 95 degrees.

9514 1404 393

Answer:

  x = 0.8

Step-by-step explanation:

If you mean y = √(1 -x²), then the curves cross at x=0.8.

__

If you equate the y-expressions, then square both sides, you have ...

  √(1-x²) = 2x-1

  1 - x² = (2x -1)² = 4x² -4x +1

  0 = 5x² -4x . . . . . subtract the left-side expression

  x(5x -4) = 0   ⇒   x = 0, or x = 4/5

The x=0 solution is extraneous.

The two equations are equal at x = 4/5.

5 meters would be the answer I believe.

12 x 4 = 48

240/48 = 5

Answer:

5

Step-by-step explanation:

hope this helps :)

Answer:

x<-11/2

Step-by-step explanation:

but don't trust me too much bestie

Answer:

Step-by-step explanation:

mean is average, so if we label the first through fifth days of january a-e we can solve it.

So average of the first four is (a+b+c+d)/4 = 1 and the first five is (a+b+c+d+e)/5 = 2.  Since it's easy, let's get rid of the fraction in both.

(a+b+c+d)/4 = 1 and (a+b+c+d+e)/5 = 2

a+b+c+d = 4 and a+b+c+d+e = 10

Now, we know a+b+c+d is 4, so we can replace that in the second equation

a+b+c+d+e = 10

4 + e = 10

e = 6

ad since e is the fifth day, we know the temperature of it.  Let me know if something here didn't make sense

Answer:D x=45° y=10.9√2

Step-by-step explanation:

In a right angle were two sides are equal, two remaining angles add up to 90. So it is 90/2 which is 45°

Y²=10.9²+10.9²

Y=15.41

Or y = 10.9√2

Answer:

25 I believe

Step-by-step explanation:

think has 5 letters

only using it once ofc

5×5= 25

Answer:

(C)SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)

Step-by-step explanation:

egde

Answer:

C

Step-by-step explanation:

Answer:

c/d

Step-by-step explanation:

pretty sure it's just circumfrence over diameter

c/d

Answer:

The value of pi is the ratio of the circumference of a circle to its diameter. So then, you can determine the value of pi by drawing a perfect circle

Step-by-step explanation:

Answer:

here, diameter is 4 cm

radius=diameter/2

=4/2 cm

=2 cm

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2cm)^2

=12.56 cm^2

Step-by-step explanation:

Answer:

The expected number of keys she will try before she opens the door is 4.5.

Step-by-step explanation:

A woman has eight keys on a key ring, one of which fits the door she wants to unlock.

Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].

Find the expected number of keys she will try before she opens the door.

The expected value of the uniform distribution is given by:

[tex]E = \frac{a + b}{2}[/tex]

Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:

[tex]E = \frac{1 + 8}{2} = 4.5[/tex]

The expected number of keys she will try before she opens the door is 4.5.