Given that the quadrilateral is a parallelogram, find the values of x, y and z.

Answer:

Step-by-step explanation:

From the information,we get:

Two stacks of books together are = 7 1/2 inches tall.

One stack is given,that is = 4 3/4 inches.

To Find:

Solution:

Let us assume that the other height of the book be x.

Then the equation will be:

[tex] 4\cfrac{3}{4} + x = 7\cfrac{1}{2} [/tex]

Convert the mixed fractions to fractions:

[tex] \implies \: \cfrac{19}{4 } + x = \cfrac{15}{2} [/tex]

Subtract 19/4 from both sides:

[tex] \implies \: x + \cfrac{19}{4} - \cfrac{19}{4} = \cfrac{15}{2} - \cfrac{19}{4} [/tex]

[tex] \implies \: x = \cfrac{11}{4} =\boxed{ 2 \cfrac{3}{4} \rm \: inches}[/tex]

Hence, we can conclude that:

The height of the other book is 2 3/4 inches.

The whole trip was 0.185 Km or 185 m long.

Speed is the time rate at which an object is moving along a path.

Given:

For 7/3 hours speed is = 60 mph = 0.06 kmph

For 40 minutes or 2/3 hours = 0 mph

for 1 hours = 45 mph  or 0.045 kmph

The total distance she travels

= 7/3*0.06+ 2/3*0+ 1*0.045

=0.185 Km or 185 m

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Answer:

-4x

Step-by-step explanation:

((-3x-4+y) + (4x-y)) - (5x-4)
= (-3x-4+y+4x-y) - 5x+4
= (x-4) -5x+4
=x-4-5x+4
=-4x

Their property tax would be =$ 26,460

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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The probability that the second ball drawn is black is 4/10 = 2/5

There are two cases. The case where the first ball is red is the first one.

The probability of drawing a red ball is equal to the quotient between the number of red balls and the total number of balls.

p = 3/5

Then, the probability of drawing a black ball in the second attempt is computed in the same way, but because we already drew a ball, now the total number of balls is 4, so we have:

q = 2/4 = 1/2.

So the joint probability is:

P = (3/5)*(1/2) = 3/10.

Then we have the case where both balls are black, the probabilities now are:

p = 2/5

q = 1/4

So the joint probability is:

P = (2/5)*(1/4) = 1/10

The total probability is the sum of the two above:

probability = 3/10 + 1/10 = 4/10.

The probability that the second ball drawn is black is 4/10 = 2/5

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Using the Empirical Rule, it is found that the mean is of 64 inches and the standard deviation is of 3.2 inches.

It states that, for a normally distributed random variable:

The normal distribution is symmetric, hence the mean is given by:

M = (57.6 + 70.4)/2 = 64.

57.6 is two standard deviations below the mean, hence the standard deviation is found as follows:

57.6 = 64 - 2s.

2s = 6.4

s = 3.2.

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The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.

Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.

we know,

% change = (final- initial) / initial * 100

=(1125-2050)/1125 *100

=45.122%

Hence, percentage change be 45.122% decrease.

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Answer:

1000

Step-by-step explanation:

Hello!

10³ can be expanded to 10 x 10 x 10

Multiplying it out, we get 1000.

When multiplying by 10 you basically add a zero to the end, so we add 3 zeroes in total, which gives us 1000.

Warning! [tex]x^y[/tex] is not [tex]x*y[/tex]. A very common error.

Instead, picture it as we are multiplying "x" by itself for "y" number of times.

I appreciate your kind comments!

Answer:

f(x)

Step-by-step explanation:

f(x) is a little represented number after solving for x but

f(x)=2x-3 is more bigger

Answer:

dhususbdgdg

Step-by-step explanation:

hdhakuxtsjwkbevdvsiw in e

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

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Based on the number of children and tricycle wheels, the ratio of children to tricycle wheels is 10 : 18

Total wheels of tricycle = Number of tricycles × Number of wheels per tricycle

= 6 × 3

= 18 wheels

Ratio of children to tricycle wheels = 10 : 18

= 5 : 9

Therefore, the ratio of children to tricycle wheels is 10 : 18

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The dot product of the two matrices D and n is determine as (4, - 7).

The dot product of the two matrices is calculated as follows;

n = (-2, -1), and D = [-4   2]

                               [4    3]

D.n =  (-2, -1). [-4   2]  = (-2 x -4) + (-1 x 4) = 4

                     [4    3]  = (-2 x 2) + (-1 x 3) = -7

D.n = (4, - 7)

Thus, the dot product of the two matrices D and n is determine as (4, - 7).

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26,460 cans of soda

Step-by-step explanation:

First times 9 and 5 together then times 7 with it then times 14 then times 6 and you should end up with 26,460

The types of rotation are:

In this case:

 ⇒ it is reflection since the graph is inverted and each point is the same distance from the line of reflection

Answer: reflection

Hope that helps!

RATIO OF 338 : 508

=> 169 : 254

The equation of the scatter plot is (a) y = 100x + 2

The line of best fit of the scatter plot passes through the points

(x,y) = (0,2) and (1,102)

Start by calculating the slope using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{102 - 2}{1 - 0}[/tex]

m = 100

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 100(x -0) + 2

Evaluate

y = 100x + 2

Hence, the equation of the scatter plot is (a) y = 100x + 2

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The mistake is made in the second step. The correct steps are given below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Wilma estimates that she’ll drive about 18,000 miles during the year.

The car she wants to purchase gets an average of 24 miles per gallon, and the average cost per gallon of gas in her neighbourhood is $2.72.

Locate the error in her calculations, and select the correction.

Step - 1

18000 miles/year

18000 miles / 12 months = 1500 miles/month

Step 2

1500 miles/month

1500 miles/month / 24 miles per gallon = 62.5 gallons/month

62.5 gallons/month

Step 3

(62.5 gallons/month) x ($2.72/gallons) = $170 cost/month

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Answer:

6.25cm²

Step-by-step explanation:

Hello!

The formula for the area of a triangle is [tex]A = \frac12 b*h[/tex]

The area of the triangle is 6.25 cm²

Answer:

  133 miles

Step-by-step explanation:

The limited budget gives rise to an inequality that can be solved for the maximum number of miles.

__

The rental cost for m miles will be the sum of the fixed charges and the product of the mileage charge and the number of miles.

  cost = 19.95 +0.15m

We want this to be no greater than 40, so we have the inequality ...

  40 ≥ 19.95 +0.15m

This two-step inequality can be solved in the usual way:

  20.05 ≥ 0.15m . . . . . step 1, subtract 19.95 from both sides

  133.667 ≥ m . . . . . . . step 2, divide by the coefficient of the variable

The maximum whole number of miles Gabrielle can drive is 133.

B. x^9

just simplify

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

Answer:

Wxndy~~

Answer:

b o a h d

Step-by-step explanation:

1*5 3%9 46% &45 that is the answer

Answer:

50

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

angle ABC=angle ADC

angle BAC=angle DCA

AC=CA

Answer: x = 103

Step-by-step explanation:

this is a 90 degree angle indicated by the box in the corner of the angle.

90 degree angles total 90 degrees.

X - 15 + 2 = 90

move the numbers to the other side of the equal sign to isolate the X

by doing the opposite

x = 90 + 15 -2

x = 103

check your work, X - 15 + 2 = 90

103 - 15 + 2 = 90

answer is correct

Answer:

2/3

Step-by-step explanation:

To add fractions add the numbers on top to each other and leave the bottom numbers alone if they are the same number.

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