three segment measures are given. the three points named are collinear. determine which point is between the other two.

1. XY = 15, AY = 31, AX = 46
2. AB = 12, BC = 20, AC = 32
3. MO = 75, MC = 34, OC = 41
4. DE = 58, GE = 12, DG = 70​

Answer:

70

Step-by-step explanation:

Answer:

Explanation below

Step-by-step explanation:

Angles in a Triangle

There are two basic relations of angles we need to recall:

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

=======================================================

Explanation:

To find the rate of change, we'll need to find the slope.

Focus on Marisol's data table. Let's pick the first two rows to see that

(x1,y1) = (2,12)

(x2,y2) = (3,18)

The slope through these points is....

m = (y2-y1)/(x2-x1)

m = (18-12)/(3-2)

m = 6/1

m = 6

So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.

-----------------------------------

Now move onto Timothy's table

Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.

(x1,y1) = (4,36)

(x2,y2) = (6,54)

m = (y2-y1)/(x2-x1)

m = (54-36)/(6-4)

m = 18/2

m = 9

Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.

-----------------------------------

To summarize, we have these rates

Zorian's rate must be between 6 and 9 oz per hour.

So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.

Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.

So that's why y = 8x is the answer.

Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.

Answer:

b

Step-by-step explanation:

Answer:

6.4

Step-by-step explanation:

Answer: The answer is 1/6.

Step-by-step explanation:

1/4 ^2 = 0.0625 which = 1/16.

The area of the new parallelogram is 1/16 the area of the original parallelogram statement best describes the relationship of the area of the new parallelogram to the area of the original parallelogram.

When a shape is dilated by a scale factor of "k," the area of the new shape is equal to the original area multiplied by the square of the scale factor.

The given scale factor is 1/4.

Therefore, the area of the new parallelogram would be (1/4)² = 1/16 of the area of the original parallelogram.

Hennce, "The area of the new parallelogram is 1/16 the area of the original parallelogram."

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Answer: B

Step-by-step explanation:

Answer:187.5

Step-by-step explanation: I am bad at explaining but il try.

if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.

2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.

Answer:

Is Max ran that far in 5 seconds (I’m assuming that because you didn’t Say) then he would of ran farther.

Step-by-step explanation:

Hope this hlps

Answer:

yeah max would of ran further

Step-by-step explanation:

hope you got it right

Answer:

5.20

Step-by-step explanation:

I took a test and that was the answer

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

where 'k' is the constant of variation.

so

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

 = 3/(2)²

  =3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

   =3/4 × 81

    =243/4

Therefore, m=243/4 when v=9.

Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. [tex] \frac {28}{4} = 7[/tex]

2. [tex] \frac {28}{7} = 4[/tex]

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.

Answer:

its 4 :)

Step-by-step explanation:

Answer:

Ya it’s the third one/ bottom one/ C.

Step-by-step explanation:

If u want one I will give it but if not then there is the answer

Answer:

There's no value of x that can make the

equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Step-by-step explanation:

5x + 6 = 7x + 5 - 2x

5x + 6 = 7x - 2x + 5

5x + 6 = 5x+5

substract 5x from each side

5x-5x+6=5x+5-5x

6 = 5

This conclude that the sides of the equation are not equal.

i.e. L.H.S ≠ R.H.S

We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.

Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Answer:

A

Step-by-step explanation:

Answer:

D-Day in the year 1944.

Step-by-step explanation:

None, this is self explanatory! Check web sources for more ^^

Answer:

1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.

Step-by-step explanation:

Look it up.

Answer:

1

Step-by-step explanation:

Answer:

2⁰ power is equal to 1

Step-by-step explanation:

Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!

[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Given

Equation of the line is 3x + 5y = 8.

Point = (10, 4)

First we find the slope of the line  3x + 5y = 8 by replacing it into slope intercept form:

[tex]3x + 5y = 8[/tex]

⇒ [tex]5y = -3x + 8[/tex]

⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]

Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].

Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]

⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]

⇒ [tex]5(y-4)=-3(x-10)[/tex]

⇒ [tex]5y-20=-3x+30[/tex]

⇒ [tex]3x+5y=30+20[/tex]

⇒ [tex]3x+5y=50[/tex]

Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

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Answer:

y-intercept is = 7

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

6- 13 = -7

0-3 = -3

7/3

Answer:

x = -7

x = -5

x = -22

x = -8

Step-by-step explanation:

-14 = x - 7 (add 7 on both sides)

-7 = x

-12x = 60 (divide by -12 on both sides)

x = -5

x + 11 = -11 (subtract 11 on both sides)

x = -22

-x/4 = 2 (multiply both sides by 4)

-x = 8 (divide by negative)

x = -8

Hope this helps!!

Answer:

There will be 4 photos on each page

Step-by-step explanation:

96/24=4

Answer:

in an hour the distance it can carry is 75 miles, so the typical distance for an hour is 75 miles per hour

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

First find the area of the metal plate: 32*12=384

Find the are of each small square to see how much space it takes: 4*4=16

Divide the two to see how many can fit: 24

Tell me if you have any questions!

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Area of the metal plate = [tex] L \times B [/tex]

= [tex] 32cm \times 12cm \\ 384cm^{2} [/tex]

Area of small squares = [tex] a^{2} [/tex]

[tex] 4cm \times 4cm \\ =16cm^{2} [/tex]

Number of squares that can be cut =

[tex] \frac{384cm^{2} }{16 {cm}^{2} } = 24[/tex]

Hence 24 squares can be cut.

Answers:

B) There are 3 terms in the simplified product.

E) The final simplified product is –3y2 + 37y – 84.

The true statements are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product.

Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:

–3(y – 5)(y – 5) – 9 + 7y

-3y² + 30y - 75 - 9 + 7y

Combine like terms

-3y² + 37y - 84 (three terms)

Therefore, the statements that are true are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product

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