Given A is between Y and Z and YA = 2x, AZ = 16x, and YZ = 4x+56, find AZ.
Plsss help

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4a - 2(3a + 8) = 6}[/tex]

Distribute 2 through the parentheses

[tex] \longrightarrow{ \sf{4a - 6a - 16 = 6}}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{ - 2a - 16 = 6}}[/tex]

Move 16 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 2a = 6 + 16}}[/tex]

Add the numbers: 6 and 16

[tex] \longrightarrow{ \sf{ - 2a = 22}}[/tex]

Divide both sides by 2

[tex] \longrightarrow{ \sf{ \frac{ - 2a}{ - 2} = \frac{22}{ - 2}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{a = - 11}}[/tex]

Hope I helped !

Best regards! :D

Answer:

$0.50

Step-by-step explanation:

If there are 5 pounds of potatoes for $2.50, you must divide to find the unit rate.

$2.50 / 5 = $0.50

1 pound of potatoes costs $0.50

Answer:

0.5 $/pound

Step-by-step explanation:

to khow much dollars one 1 pound costs, we must divide the price of 5 pounds by 5

2.5 is in dollars and 5 is in pounds so the rate unit is $/pound

Answer:

Step-by-step explanation:

Answer:

(-4, 0)

Step-by-step explanation:

midpoint formula: (x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-5, 3) & (-3, -3)

(-5 - 3) / 2 , (3 - 3) / 2

-8/2 , 0/2

(-4, 0)

Answer: [tex]Yes[/tex]

Q: How are they the same answer?

A: You divide both of them by the number with x.

Divide both sides by -2

[tex]-2x/-2=10/-2\\x=-5[/tex]

Divide both sides by -5

[tex]-5x/-5=25/-5\\x=-5[/tex]

That's how both of them are equivalent to each other.

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

[tex]\text{Are the equations -2x = 10 \& -5x = 25 equivalent?}[/tex]

[tex]\text{-2x = 10}[/tex]

[tex]\text{DIVIDE both sides by -2}[/tex]

[tex]\bf{\dfrac{-2x}{-2} = \dfrac{10}{-2}}[/tex]

[tex]\text{Cancel out \dfrac[-2x}{-2} because it gives 1}[/tex][tex]\text{Cancel out:}\ \bf\dfrac{-2x}{-2} \text{ because it gives you 1}[/tex]

[tex]\text{Keep:} \bf{\dfrac{10}{-2}}\text{ because it gives you the result of x}[/tex]

[tex]\bf{\dfrac{10}{-2} = -10\div2 \rightarrow -5}[/tex]

[tex]\boxed{\underline{\text{\bf{x = -5}}}}\checkmark[/tex]

[tex]\text{-5x = 25}[/tex]

[tex]\text{DIVIDE both sides by -5}[/tex]

[tex]\bf{\dfrac{-5x}{-5}= \dfrac{25}{-5}}[/tex]

[tex]\text{Cancel out:}\ \bf{\dfrac{-5x}{-5}}\text{ because it gives you 1}[/tex]

[tex]\text{Keep:}\ \bf{\dfrac{25}{-5}}\ \text{ because it gives you the result of x }[/tex]

[tex]\bf{\dfrac{-25}{5} = -25 \div 5 \rightarrow -5 }[/tex]

[tex]\boxed{\underline{\bf{x = -5}}}\checkmark[/tex]

[tex]\boxed{\text{To answer your question: \boxed{\bf{YES}} because both x's equal to -5}}[/tex]

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

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

Answer:

Step-by-step explanation:

y=(x+5)(x+4)=x²+5x+4x+20=x²+9x+20=x²+9x+(9/2)²-(9/2)²+20

[tex]y=(x+\frac{9}{2} )^2-\frac{81}{4} +20\\y=(x+\frac{9}{2})^2-\frac{81}{4}+\frac{80}{4}\\y=(x+\frac{9}{2})^2-\frac{1}{4}[/tex]

vertex is (9/2,-1/4) or(4.5,-0.25)

Answer:

61.3

Step-by-step explanation:

two vertical angles add up to 180°

so (x+3)+(2x+7)=180°

open brackets & collect like terms

x+3+2x-7=180°

3x+-4=180°

3x=184°

x=61.3 after dividing by 3 on both sides

Answer:

The Answer is: C.120

Answer:

∠ RST = 120°

Step-by-step explanation:

∠ RST = ∠ RSU + ∠ UST , substitute values

6x + 12 = 78 + 3x - 12

6x + 12 = 3x + 66 ( subtract 3x from both sides )

3x + 12 = 66 ( subtract 12 from both sides )

3x = 54 ( divide both sides by 3 )

x = 18

Thus

∠ RST = 6x + 12 = 6(18) + 12 = 108 + 12 = 120°

Answer:

A

Step-by-step explanation:

two times a quantity of number_ 2y

minus twelve-. 2y - 12

Answer: A

Step-by-step explanation:

Answer:

585m

Use the Pythagoreas' Theorem.

You will get the answer 585. Hope this helps!

Answer:

585m

Step-by-step explanation:

Answer gotta be 585m.

Angles in a transversal can be congruent either by theorems of corresponding and vertical angles.

The measure of the angles are:

[tex]\angle 1 = 97^o[/tex]

[tex]\angle 2 = 83[/tex]

[tex]\angle 3 = 66[/tex]

[tex]\angle 4 = 114^o[/tex]

[tex]\angle 5 = 83^o[/tex]

[tex]\angle 6 = 97^o[/tex]

[tex]\angle 7 = 114^o[/tex]

[tex]\angle 8 = 66^o[/tex]

[tex]\angle 9 = 97^o[/tex]

[tex]\angle 10 = 83[/tex]

[tex]\angle 11 = 66[/tex]

[tex]\angle 12 = 114^o[/tex]

[tex]\angle 13 = 83^o[/tex]

[tex]\angle 14 = 97^o[/tex]

[tex]\angle 15 = 114^o[/tex]

[tex]\angle 16 = 66^o[/tex]

Given that:

[tex]\angle 9 = 97^o[/tex]

[tex]\angle 12 = 114^o[/tex]

The following angles are congruent by theorem of vertical angles.

[tex]\angle 9[/tex] and [tex]\angle 14[/tex]

[tex]\angle 12[/tex] and [tex]\angle 15[/tex]

So, we have:

[tex]\angle 14 = 97^o[/tex]

[tex]\angle 15 = 114^o[/tex]

Apply the theorem of angles on a straight line, we have:

[tex]\angle 9 + \angle 10 = 180[/tex]

[tex]\angle 11 + \angle 12 = 180[/tex]

So, we have:

[tex]\angle 10 = 180 - 97[/tex]

[tex]\angle 10 = 83[/tex]

[tex]\angle 11 = 180 - 114[/tex]

[tex]\angle 11 = 66[/tex]

The following angles are congruent by theorem of vertical angles.

[tex]\angle 10[/tex] and [tex]\angle 13[/tex]

[tex]\angle 11[/tex] and [tex]\angle 16[/tex]

So, we have:

[tex]\angle 13 = 83^o[/tex]

[tex]\angle 16 = 66^o[/tex]

The following angles are congruent by theorem of corresponding angles.

[tex]\angle 9[/tex] and [tex]\angle 1[/tex]                 [tex]\angle 13[/tex] and [tex]\angle 5[/tex]                      [tex]\angle 10[/tex] and [tex]\angle 2[/tex]

[tex]\angle 14[/tex] and [tex]\angle 6[/tex]             [tex]\angle 11[/tex] and [tex]\angle 3[/tex]                     [tex]\angle 15[/tex] and [tex]\angle 7[/tex]

[tex]\angle 12[/tex] and [tex]\angle 4[/tex]               [tex]\angle 16[/tex] and [tex]\angle 8[/tex]

So, we have:

[tex]\angle 1 = 97^o[/tex]

[tex]\angle 4 = 114^o[/tex]

[tex]\angle 6 = 97^o[/tex]

[tex]\angle 7 = 114^o[/tex]

[tex]\angle 2 = 83[/tex]

[tex]\angle 3 = 66[/tex]

[tex]\angle 5 = 83^o[/tex]

[tex]\angle 8 = 66^o[/tex]

Read more about corresponding and vertical angles at:

https://brainly.com/question/14209455

Answer:

7y(x^49)

Step-by-step explanation:

Answer:

Whats X and what y

Step-by-step explanation:

Answer:

5.4ft²

Step-by-step explanation:

Area of yellow region

= area of square - area of circle

Area of square= side ×side

Area of circle= πr²

5ft is the length of a side of the square, as well as the diameter of the circle.

Diameter= 2 ×radius

Radius or circle, r

= 5 ÷2

= 2.5 ft

Area of yellow region

= (5 ×5) - π(2.5²)

= 25 -6.25π

= 5.4 ft² (to nearest tenth)

Answer: hopefully this helps

D. The number of weeks after the first week

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y = [tex]\frac{2}{6}[/tex]x - [tex]\frac{16}{6}[/tex]

Simplifying gives;

y = [tex]\frac{1}{3} x +2 \frac{2}{3}[/tex]

So the slope of this line = [tex]\frac{1}{3}[/tex]

Answer:

272E

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

B. If a = b and b = c, then a = c.

Step-by-step explanation:

I just did it.

Answer:

1.a part, share, or number considered in comparative relation to a whole.

1/3 = 2/6

2.If a proposition is true, then we say it has a truth value of "true"; if a proposition is false, its truth value is "false". For example, "Grass is green", and "2 + 5 = 5" are propositions. The first proposition has the truth value of "true" and the second "false".

3.

Don't confuse cross multiplication with cross cancellation. You use cross cancellation to make multiplying fractions easier. Set the two cross products equal to each other. 1 · 2 = 2 and 0.5 · f = 0.5f.

Answer:

800

Step-by-step explanation:

16x16=256

17x16=272

272/2=136

136x4=544

544+256=800

Answer:

B.

Explanation:

π ≈ 3.142

22/7 ≈ 3.143

square root of ten ≈ 3.162

Answer:

Step-by-step explanation:

1....................................

Company A

Company B

Time required:

2....................................

Set up fee = $15

Additional fee= $0.17 per page

Max amount= $40

Max number of pages is 147

Step-by-step explanation:

the solution is attached

have a good day

Answer:

-3

Step-by-step explanation:

-5 is greater than -8, so in order for a subtraction problem to give a higher number is if it is negative, because a negative negative is a positive.

-8--3=-5

This is another way of saying

-8+3=-5

Answer:

I think it's an obtuse scalene.

Step-by-step explanation:

Answer:

5 is NOT a solution to the equation.

t = 6

Step-by-step explanation:

Step 1: Write out equation

2t - 1 = 11

Step 2: Add 1 to both sides

2t = 12

Step 3: Divide both sides by 2

t = 6

Answer:

it Would be easier to answer with a picture but since these Question are normaly the same picture but it is Angle 3 and 7

Step-by-step explanation:

#NO ADDS

Answer:

Step-by-step explanation:

Rational number between 9.5 and 9.7:

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

One of the numbers could be √91, it is not a perfect square.

Approximate value: