1. 1. Triangle DEF and triangle GHI are similar right triangles. Based on the information,
O
The relationship between the slope of the diagonal of a triangle
DEF and the slope of the diagonal of triangle GHI cannot be
determined
н
O
The slope of the diagonal of triangle DEF is greater than the slope
of the diagonal of triangle GHI.
G
O
The slope
of the diagonal of triangle DEF is less than the slope of
the diagonal of triangle GHI.
The slope of the diagonal of triangle DEF is equal to the slope of
the diagonal of triangle GHI.

which statement is true?

Answer:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}[/tex]

Step-by-step explanation:

Fraction Division

The division of two fractions a/b and c/d is usually done by multiplying the first fraction by the reciprocal of the second fraction:

[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot\frac{d}{c}[/tex]

We are required to divide:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}[/tex]

Applying the above rule:

[tex]\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{3}{4}\cdot\frac{10}{9}=\frac{30}{36}[/tex]

Simplifing by 6:

[tex]\boxed{\displaystyle \frac{\frac{3}{4}}{\frac{9}{10}}=\frac{5}{6}}[/tex]

Answer:

66 and two-thirds percent

Step-by-step explanation:

Answer:

The answer is (C) 66 and two-thirds percent

Step-by-step explanation:

                                                 hope it helps

Answer:

11-3=8

8x8=64

64x5=320

320/ 2=160

Step-by-step explanation:

Answer:

there are 80 questions

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

there are two x values

Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                = 552 miles per hour

Answer:

no , because 5 - -3 is 8 , which is not less than eight

Answer:

y=-2x+25

Step-by-step explanation:

the slope has to be -2, becauze in perpendicular lines, the slopes are opposite.

put it into y-y1=m(x-x1) form, which is y-5=-2(x-10)

then get rid of the parenthesis by distribution, which gives you y-5=-2x+20 (-10x-2 gives a positive 20)

then isolate y and balance the equation.

y-5+5=-2x+20+5, which gives you

y=-2x+25

Answer:

|6+2|=8

Step-by-step explanation:

6+2=8

140 gallons of water would it use for 10 loads of laundry.

For the given question;

The amount of water a washing machine uses varies directly with the number of loads it washes.

Let amount of water be 'w'.

The number of loads be 'l'

w ∝ l

w = kl

k = proportionality constant.

For, w =  28 gallons

l = 2 loads of laundry

Put in the equation;

28 = 2 k

k = 14

Now, when l = 10 loads of laundry, w = ?

w = 14 × 10

w = 140

Thus, 140 gallons of water would it use for 10 loads of laundry.

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Answer:

e = 16

Step-by-step explanation:

−5/6e−2/3e= −24

−e(5/6+2/3) = −24

-e((5+4)/6) = −24

-e(9/6) = -24

-e(3/2) = -24

-3/2e = -24

- e = -24/(3/2)

-e = -16

e = 16

Answer:

600 (I am not sure though)

Answer:

The Bulldogs gained 11 1/2 yards

Step-by-step explanation:

its sad that they could lose so much ground on a sack. their qb must suck

15 1/2 ---> 15.5

3 1/4 ---> 3.25

-7 1/4 ---> -7.25

15.5+3.25= 18.75

18.75 -7.25= 11.5 ---> 11 1/2 yards

Answer:

g(2)=4

2 is the x value, and g(2) gives you 4 as your y value

point (2,4)

Step-by-step explanation:

Answer:

4x-7=5

Step-by-step explanation: If you take 4(3) you get 12 -7 =5

Answer:

5

Step-by-step explanation:

1) h(x)=(5×2)-5

h(x) =5

Answer:

c

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

F(5)= 5(5) -3 (Replace x by 5)

F(5)= 25-3 (Solve for 5 and 5)

F(5)= 22 (Simplify)

22 (Answer)

Answer:

Correct answer is C

Step-by-step explanation:

The Function is linear but is not a direct variation function

The function is linear but is not a direct variation function.

The correct option is C.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of a line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

As per the information provided:

The points are collinear (i.e. they lie on a straight line), which means that the function is linear. We can find the equation of the line using the two-point form:

(y - 18)/(x - 10) = (30 - 18)/(18 - 10)

Simplifying this equation gives:

y - 18 = 3/2(x - 10)

y - 18 = 1.5x - 15

y = 1.5x + 3

So the function is linear, but not a direct variation function, and has a slope of 1.5.

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The complete question:

A coordinate plane with 3 points is plotted at (10, 18), (14, 24), and (18, 30).

Which statement describes the function through the points?

The function is a direct variation function with a constant variation of 1.5.

The function is a direct variation function with a constant variation of 1.8.

The function is linear but is not a direct variation function.

The function is not a linear function.

Answer:

Most precise value of the average weight is 0.56 pounds

Step-by-step explanation:

To get the precise value, we start by getting the average weight

That will be total weight/8

= 4.5 pounds/8 = 0.5625

we are told that the scale records to the nearest hundredth

So we need to express the obtained value in hundredths

That will be 0.56 pounds

Answer:

Step-by-step explanation:

y=47x

Answer:

The probability of selecting a white marble is 0.368

Step-by-step explanation:

Given;

number of red marbles, R = 4

number of white marbles, W = 7

number of blue marbles, B = 8

Total number of marbles in the box = 4 + 7 + 8 = 19

The probability of selecting a white marble is given by;

P(W) = 7 / 19

       = 0.368

Therefore, the probability of selecting a white marble is 0.368

Answer:

Independent variable

Step-by-step explanation:

Answer:

125

Step-by-step explanation

500 divided by 4=125

Answer:

in an arithmetic sequence, the nth term is the first term +(n-1)times the difference

the difference between the 3rd and 4th term is 18-13=5, so d=5

now we need to find out the first term: 13=a1+(3-1)d => a1=3

the 50th term is a1+(50-1)d=3+49*5=248

the  

Step-by-step explanation:

Answer:

C= 2.40g+0

Step-by-step explanation:

The total cost is reliant on how many gallons of gas the customer buys. If the person bought 8 gallons, you'd plug 8 in for g. 8 times 2.40 = $19.20

Answer:

12x + 8) /4

=[12 (2) + 8 ]/4

=[ 24 + 8 ]/4

=32/4

=8

Step-by-step explanation:

\

(12x+8)4

=(12x2 +8)4

=(24+8)4

=(32)4

=128