Which of the following statements must be true about parallelogram ABCD?

Answer:

37.38

Step-by-step explanation:

Remark

The ratio tells you how they are divided between night and day.

In other words night/ day = 19/32

That's not what you want.

What you want is night over total.

Total

Total = night + day = 19.1 + 32 = 51.1

Night Percent

Night% = Night * 100 / Total

Night% = 19.1 * 100 / 32

Night% = 37.38 %

Here, we are required to express ratio as a percentage

The percentage of pharmacy technician during the night is 37.25%

pharmacy technician during the day = 32

pharmacy technician during the night = 19

Total ratio = 32 + 19

= 51

percentage of pharmacy technician during the night = pharmacy technician during the night / Total ratio × 100

= [tex] \frac{19}{51} \times 100[/tex]

= 0.3725490196078 × 100

= 37.254901960784%

Approximately

37.25% to two decimal place

This means 37.25% of pharmacy technician work during the night

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Answer:Tate rents some table 362 for some chairs $3 for each party get spends $500 enter an equation to find the number of chairs,c, that Tata rents and how many chairs

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

why is there no option fr 3???

Answer:

8

Step-by-step explanation:

Answer:

3x2+5=11

Step-by-step explanation:

Answer:

Variable: t

Constant: 18

Step-by-step explanation:

A constant is the number that is known, the variable is unknown. A variable is usually denoted with a letter and a constant  with digits. I hope this helps  :0)

Answer:

18,80,82

Step-by-step explanation:

82^2= 6724

18^2+ 80^2= 6724

The square of the largest number is equal to the sum of the squares of the two smaller numbers.

Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

Answer:

98

Step-by-step explanation:

angles 1 and 2 are congruent, the lines in each side of the shape prove this.

another way to solve if you are not sure is to subtract all of the numbers from 360. all quadrilaterals equal 360 degrees, so if you subtract each of the three angles from 360, you will be left with the last angle.

360-120-44-98=98

Answer: 47

Step-by-step explanation:

Δy/Δx=292-10/6-0=282/6=47

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2. \ y= -2x+17}}[/tex]

Step-by-step explanation:

We are given a point and a slope, so we can use the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where m is the slope and (x₁, y₁) is a point the line passes through.

For this problem, the slope is -2 and the point is (5,7). Therefore:

[tex]m= -2 \\x_1= 5\\y_1= 7[/tex]

Substitute the values into the formula.

[tex]y-7= -2(x-5)[/tex]

We want to solve for y, because the standard form of a line is y=mx+b (where m is the slope and b is the y-intercept).

Distribute the -2.

[tex]y-7= (-2*x ) + (-2*-5)[/tex]

[tex]y-7= -2x+10[/tex]

7 is being subtracted from y. The inverse of subtraction is addition, so add 7 to both sides.

[tex]y-7+7=-2x+10+7\\y= -2x+17[/tex]

The equation of the line is y= -2x+17

Answer:

Answer:

The constant rate of change is 3

Step-by-step explanation:

Given

x   y

2   6

4   12

6   18

8   24

Required

Determine the constant rate of change

Represent the constant rate of change with k.

k is calculated using:

[tex]k = \frac{y}{x}[/tex]

When y = 24; x = 8

So, we have:

[tex]k = \frac{24}{8}[/tex]

[tex]k = 3[/tex]

Answer:

9:4

13:9

Step-by-step explanation:

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

By the Triangle Proportionality Theorem:

[tex]\displaystyle \frac{x}{12}=\frac{x+1}{15}[/tex]

By cross-multiplication:

[tex]\displaystyle 12(x+1)=15(x)[/tex]

Distribute:

[tex]12x+12=15x[/tex]

Subtract 12x from both sides:

[tex]12=3x[/tex]

Hence:

[tex]x=4[/tex]

Answer:

4

Step-by-step explanation:

The first thing you should notice is that the triangles (the smaller one and the larger one) are similar due to angle-angle similarity (the top angle equals itself, and because the bases are parallel lines cut by a transversal, the base angle of the bigger triangle is equal to the corresponding base of the smaller triangle.

Similar triangles' corresponding sides have equal ratios to one another. That means we can set up an equation: side of smaller triangle ÷ corresponding side of larger triangle = other side of smaller triangle ÷ corresponding side of larger triangle. We plug the values given to us and can change this equation to:[tex]\frac{x}{x + 12} = \frac{x + 1}{x + 16}[/tex] **

We now multiply both sides of the above equation by [tex](x + 12)(x + 16)[/tex] to get: [tex]x(x + 16) = (x + 1)(x + 12)[/tex]

[tex]x^{2} + 16x = x^{2} + 13x + 12[/tex]

[tex]3x = 12[/tex]

[tex]x = 4[/tex]

That means our answer, for the value of x, is 4

** Make sure you don't say [tex]\frac{x}{12} = \frac{x + 1}{15}[/tex], because those aren't the sides of the larger square.

Answer:what do u need help on

Step-by-step explanation:

Answer:

it’s 4

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x-8y=12

5x+8y=-1

add them

11x=11

x=1

y=-3/4

Answer:

(1,-3/4)

Step-by-step explanation:

Luckily, y is already opposites, so it should be easier:

6x-8y=12

5x+8y=-1    

Combine; This should end up with y eliminated -

11x = 11

x = 1

Now we can plug 1 in for x in one of the equations to find y. I'm going to use the second one.

5(1) +8y = -1

5+8y=-1

8y=-6

y=-6/8 (you can simplify)

The point at which the lines intersect is (1,-3/4)

Step-by-step explanation:

Answer for the first question.

since the triangles are congruent so angles and sides are also congruent I.e. sides and angles are equal then,

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

55° = 7x + y

55° = 7 * 5 + y

35° + y = 55°

y = 55° - 35°

y = 20°

Answer for the second question,

x + 70° = 2x - 2° {Exterior angle of a triangle is equal to the sum of two opposite interior angles }

2x - x = 70° + 2°

x = 72°

Now

<WXY = 2x - 2°

= 2 * 72° - 2

= 142 °

Hope it will help :)❤✔

Answer:

The doctor will be able to see 32 patients in 8 hours.

Step-by-step explanation:

24/6=4

Therefore if you multiply 8 by 4 you get 32.

The doctor will be able to see 32 patients in 8 hours.

Step-by-step explanation:

No sé la respuesta exactamente, pero cuando la traduje decía T6, ¿qué es eso?

Answer:

Step-by-step explanation:

[tex]h=72\left(\frac{2}{3}\right)^{(n-1)}[/tex]

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

[tex]X - 7.3[/tex] % of [tex]X[/tex]

[tex]X -0.073 X\\0.927X[/tex]

As we know

[tex]P = P_0 * e^{rt}[/tex]

Substituting the given values we get -

[tex]\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\[/tex]

Taking log on both sides we get -

[tex]-0.20273 = -0.33 * t\\t = 1.627[/tex]

You can form a general expression for resultant reduction percentage after t years. Then equate it with 33% to get the value of t

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

The rate of decrement for infant mortality rate is 7.3% per year.

Let the mortality rate in the start be [tex]r[/tex]

Then after 1 year it becomes

[tex]r - \dfrac{r}{100} \times 7.5 = r(1-\frac{7.5}{100}) = r_1 \text{\: (say)}[/tex]

After 1 more year, we will have:

[tex]r_1 -> r_1(1 - \frac{7.5}{100}) = r(1-\frac{7.5}{100})(1-\frac{7.5}{100}) = r(1-\frac{7.5}{100}) ^2 = r_2 \text{\: (say)}[/tex]

Thus, after t years, we will have:

[tex]r_t = r(1-\frac{7.5}{100})^t[/tex]

Simplifying it, we get:

[tex]r_t = r(1 - 0.075)^t = r(0.925)^t[/tex]

The percent of decrement can be calculated by:

[tex]p = \dfrac{\text{old rate - new rate}}{\text{old rate}} \times 100[/tex]

Thus,

the percent of decrement after t years will be

[tex]p = \dfrac{r - r_t}{r} \times 100 = \dfrac{r(1- (0.925)^t)}{r} \times 100 = 100(1-0.925^t)\\\\p = 100(1-0.925^t)[/tex]

We need the time after which the infant mortality rate would be reduced by 33%, thus, p = 33%

or

[tex]p = 33\\p = 100(1-0.925^t) = 33\\1 -0.925^t = \dfrac{33}{100}\\t = log_{0.925}(1 - \dfrac{33}{100}) \approx 3.3525[/tex]

Thus, after approx 3.35 years, the mortality rate would decrease by 33%

Thus,

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

Learn more about percentage here;

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Answer:

37 more than the quotient of 24 and 8 ​= 24 ÷ 8 + 37

Step-by-step explanation:

24 ÷ 8 + 37

Order of Operations

3 + 37

Add

= 40

The expression is 24 ÷ 8 + 37

Answer:

yes because the hours to distance is moving at a constant rate and if you were to graph it, it would also go through the origin

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

This table is not proportional because the outputs do not get their answer using the same equation. The first to inputs and outputs ([tex]\frac{1}{2}[/tex] and [tex]\frac{1}{4}[/tex]; 1 and [tex]\frac{1}{2}[/tex]) are proportional. You multiply the input (distance) by [tex]\frac{1}{2}[/tex] to get the output (hours). The final option of input and output ([tex]2\frac{1}{2}[/tex] and [tex]1\frac{1}{4}[/tex]) is not proportional.

Hope it helps!

Answer:

[tex]a = 5[/tex]

[tex]b = .05[/tex]

Step-by-step explanation:

Given

[tex]y = 5\ .05^x[/tex]

Required

Determine a and b

An exponential function is represented as:

[tex]y =ab^x[/tex]

By comparing:[tex]y =ab^x[/tex] with [tex]y = 5\ .05^x[/tex]

[tex]a = 5[/tex]

[tex]b = .05[/tex]