Hayley is buying herbs. She wants to buy   ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.

Answer:

These two figures are not congruent.

Step-by-step explanation:

The definition of congruence is, "In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.", now knowing this we next take a look at the figures.

Coordinates (A, E) do not match up with the bottom figures (P, T). The next coordinates (E, D) also don't match up with coordinates (T, S). Coordinates (A, B) and (P, Q) don't match up together either. (B, O), (Q, R), (O, D), or (R, S) also do not match up if you look closely at them. Now you can conclude that although these two figures may look alike at first glance, their points are put in different places showing that they aren't the same in shape and size; meaning they are not congruent.

Two figures are congruent if their dimensions are equal

ABCDE = PQRST therefore, ABCDE ≅ PQRST, by the definition of congruency

Reason:

The coordinates of pentagon ABCDE are;

A(-2, 8), E(4, 8), D(6, 2), C(-2, 2), B(-4, 6)

The coordinates of pentagon PQRST are;

P(-3, 0), T(3, 0), S(5, -6), R(-3, -6), Q(-5, -2)

By performing the vector translation of [tex]\dbinom {1}{8}[/tex], to PQRST, we have;

P(-3 + 1, 0 + 8) = (-2, 8) = Coordinates of A

T(3 + 1, 0 + 8) = (4, 8) = Coordinates of E

S(5 + 1, -6 + 8) = (6, 2) = = Coordinates of D

R(-3 + 1, -6 + 8) = (-2, 2) = = Coordinates of C

Q(-5 + 1, -2 + 8) = (-4, 6) = = Coordinates of B

Given that a translation is a rigid transformation and  that by performing a translation transformation of [tex]\dbinom {1}{8}[/tex], on PQRST gives ABCDE, we have that the dimensions of the pentagon ABCDE = The dimensions of the pentagon PQRST, we have;

ABCDE = PQRST

Therefore;

ABCDE ≅ PQRST, by the definition of congruency

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Answer:

question 1 answer:

nth term is =7n+6

9th term means n=9

So the 9th term is =7*9+6=63+6= 69.

question 2 answer: 2−4+3

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The coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).

Let the coordinates of point B are (x, y).

According to the give question.

The midpoint of AB is M(4, 0).

The coordinates of A are (3, 1).

Therefore, the coordinates of points B are given by

(4, 0)  = ( (3 + x)/2,  (1 + y)/2)

⇒ (3 + x)/2 = 4, and (1 + y)/2  = 0

⇒ 3 + x = 8 and 1 + y = 0

⇒ x = 8 - 3   and   y = -1

⇒ x = 5 and y = -1

Hence, the coordinates of point B are (5, -1) if the midpoint of AB is M(4, 0) and the coordinates of A are (3, 1).

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Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

(1/2)56 = a - b

28 = a - b

a + 28 = 56

a = 28

cot(θ) = cos(θ)/sin(θ)

So if both cot(θ) and cos(θ) are negative, that means sin(θ) must be positive.

Recall that

cot²(θ) + 1 = csc²(θ) = 1/sin²(θ)

so that

sin²(θ) = 1/(cot²(θ) + 1)

sin(θ) = 1 / √(cot²(θ) + 1)

Plug in cot(θ) = -2 and solve for sin(θ) :

sin(θ) = 1 / √((-2)² + 1)

sin(θ) = 1/√(5)

Answer:

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

Step-by-step explanation:

Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.

The y-intercept is the point where the line intersects the y- axis.

y = mx + 2

The equation to find slope is [tex]\frac{y1-y2}{x1-x2}[/tex]       Two points from the line: (0,2) (4,8)

[tex]\frac{8-2}{4-0}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

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

Given:

The graph of an inequality.

To find:

The inequality for the given graph.

Solution:

From the given graph it is clear that the related line is a vertical line parallel to the y-axis at a distance of 7 units from the left of y-axis. It intersect the x-axis at x=-7.

So, the related equation for boundary line is

[tex]x=-7[/tex]

The shaded region is on the left side of the boundary line. it means, the value of x which are less than -7 are included in the solution set.

The boundary line is a solid line. It means -7 is also included in the solution set.

The value of x is less than or equal to -7. So, the inequality for shaded region is

[tex]x\leq -7[/tex]

Therefore, the correct option is B.

Answer:

(x-2) (x+6)

Step-by-step explanation:

If it is written like this:

[tex]x^{2} +4x + 3 = 15[/tex]

To focus on the equation on the left rewrite the equation equal to the value of zero.

(x-2) (x +6) = 0

The answer is (x-2) (x+6)

The answer is A: Town

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

2.25x+15=9.5x+0.5

15-0.5=9.5x-2.25x

14.5=7.25x

x=14.5

7.25

x=2

hope it helps.

Answer: 12/36 and simplified would be 1/3

Step-by-step explanation:

12 - hard boiled eggs

——

36 - scrambled

Divide them by 12 and you get a simplified fraction

Answer:

IM A HUGE TRAVIS SCOTT FAN I SNUCK IN ONE OF HIS CONCERTS

Step-by-step explanation:

Answer:

because a=b and c=d so bisect

the 4 ordered pairs for the given proportional relation are (1, 7), (2, 14), (3, 21), (4, 28).

Here we know that the sloth travels about 7 feet every minute, then we can define the speed as:

S = 7 ft/min

Now remember the relation:

distance = speed*time

Then the proportional relation is:

D = 7*t

The ordered pairs are of the form (t, D)

if t = 1.

D = 7*1 = 7

if t = 2

D = 7*2 = 14

if t = 3

D = 7*3 = 21

if t = 4

D = 7*4 = 28

Then the 4 ordered pairs are (1, 7), (2, 14), (3, 21), (4, 28).

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Step-by-step explanation:

2s + b = 23.6

s + 4 = b

s = b - 4

2b - 8 + b = 23.6

3b = 31.6

b = 31.6 / 3 = 10.53333333(etc.) which is approx. 10.53

s = 6.53

Answer:

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg

Step-by-step explanation:

One of the solutions of the given equation y = 5x is (2,10)

The solution of an equation means if we substitute the value of this solution into the equation, it will produce the correct equality from the left side to the right side.

If the solution has 2 variables, for example x and y, and the solution is (a,b) means that if we replace x with a and y with b, the equality is correct.

The given equation is: y = 5x

For option (-2,10), substitute x = -2 and y = 10 into the equation:

10 = 5 . (-2)

10 = -10 (False)

Hence (-2,10) is not a solution.

For option (-5, 25), substitute x = -5 and y = 25 into the equation:

25 = 5 . (-5)

25 = -25 (False)

Hence (-5, 25) is not a solution.

For option (-3, 15), substitute x = -3 and y = 15 into the equation:

15 = 5 . (-3)

15 = -15 (False)

Hence (-3, 15) is not a solution.

There is no options in the problem that gives the correct equality. Looks like there is a typo.

Example of a solution of the given equation is (2,10), since if we substitute x = 2 and y = 10 into the equation:

10 = 5 . (2)

10 = 10 (True)

Hence (2, 10) is a solution.

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Answer: y=0.5x+6

Step-by-step explanation:

each time x moves 1 the point moves 0.5 vertically so

4, -4

3, -4.5

2, -5

1, -5.5

0, 6

Answer:

y=0.5x+6

Step-by-step explanation:

Answer:

1) 17.6    2) 1760%     3) 12.6

Step-by-step explanation:

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The initial height of the bouncing ball is 15 feet, The percent rate of change is -15% and after 5 s, the height of the ball is 6.66 feet

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the function:

f(x) = 15(0.85)ˣ

a) The initial height of the bouncing ball is 15 feet

b) The percent rate of change = 0.85 - 1 = -0.15 = -15%

c) After 5 s, x = 5:

f(5) = 15(0.85)⁵ = 6.66 feet

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Answer:

The correct answer is C. 6x = 500.

Step-by-step explanation:

In this expression, the "x" represents how many dollars he needs to save every month. Or in other words, the amount of money he earns a month multiplied by the amount of months should equal 500 in order for Parvinder to be able to go on his trip.

Therefore, the correct answer is C. 6x = 500.

Hope this helps! :D

Answer:

$23.92

Step-by-step explanation:

35% of 40 is 14. 40-14=26. 8% of 26 is 2.08. 26-2.08=23.92

Answer:

-6.3

Step-by-step explanation:

You can do it on calculator.

Answer:

A

Step-by-step explanation:



Answer:

30

Step-by-step explanation:

b/c mean is average by another word

55 + 65 = 120

120\2 = 60

Answer:

-4875

Step-by-step explanation:

and hello

Answer:

Step-by-step explanation:

30g-42h+24

30g-42h+24

Answer:

-53

Step-by-step explanation:

3-(-4)-3-57

7-3-57

4-57

=-53

Answer:

As repetition is not allowed,

For first digit selection, we have 8 choices.

for second digit selection 7 choices.

Similarly, 6 choices for 3rd digit, 5 choices for 4th digit and 4 choices for 5th digit.

Hence, total choices 8*7*6*5*4 = 6720

Step-by-step explanation: