In the triangle below, what is the measure of Angle z

The equation to show how many dogs Ida walked Saturday is A.10x = 70

A system of linear equations exists usually a set of two linear equations with two variables.

A linear equation only includes one or two variables. No variable in a linear equation exists raised to a power greater than 1 or utilized as the denominator of a fraction. When you discover pairs of values that create a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Given,

Ida gets paid $10 for every dog walked and made a total of $70 on Saturday.

It will be A. She earned 10 dollars per hour 10x= 70.

Hence, the correct answer is option A. 10x = 70

To learn more about the System of linear equations refer to:

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-3 is classified as the following:

Rational number

Whole number

Integer

Answer:

-4

Step-by-step explanation:

Factor by the numbers from left to right.

[tex]64^\frac{1}{3}[/tex]

[tex]64=4^3[/tex]

[tex](\frac{4}{3})^\frac{1}{3}=4^3^*^\frac{1}{3}=4[/tex]

It changes to positive to negative.

-4

-4 is the correct answer.

Answer:

47.6 cm

Step-by-step explanation:

Since the triangle is equilateral then the 2 inclined sides = 7.2 cm

Perimeter is then the sum of the 5 sides

P = 13 + 7.2 + 13 + 7.2 + 7.2 = 47.6 cm

Answer:

47.6 cm

Step-by-step explanation:

A positive number and a negative number with the same digits are opposite.

13 + -13 = 13 -13 = 0

13 to 0 is 13 units, -13 to 0 is also 13 units.

The answers are:

They are opposites.

Their sum is 0.

They are the same distance from zero on the number line.

Answer:

They are opposites.

Their sum is 0.

They are the same distance from zero on the number line.

Step-by-step explanation:

They are opposites.   True  

- -13 = 13

Their sum is 0.   True

-13+13=0

They are the same distance from zero on the number line.   True

|-13| = |13|

They are equivalent.  False

-13 does not = 13

Answer:

The side of the square = x/√2

Step-by-step explanation:

All the sides of a square are equal. All the angles are equal to 90°

To find the side of a square

From the figure attached with this answer shows a square.

Let 'x' be the diagonal of the square.

The diagonal make two right angled triangle with angle 45°, 45° and 90°

Therefore the sides are in the ratio 1 : 1 : √2

Here diagonal = x

 side : side : x= side : side : √2

Therefore one side length = x/√2

Answer:

Area = x²/2 square units

Step-by-step explanation:

The key to solving this question is to understand that:

a) the sides of a square are the same length

b) the length of the diagonal may be calculated via Pythagoras' theorem (c² = a² + b², where c is the length of the hypotenuse of a triangle and a and b the lengths of the other two sides)

1. Now, let's call the sides of the square length y and the diagonal is length x.

Using c² = a² + b², we can substitute our values to get:

x² = y² + y²

x² = 2y²

2. Stepping away from Pythagoras' theorem for a little bit, let us think of the general formula for the area of a square:

A (for Area) = a², where a is the length of the sides of the square (which are all of equal length)

Given that we defined our square as having length y, let us substitute this value in to get:

A = y²

3. Now we have two formulas that we can work with:

1) x² = 2y²

2) A = y²

4. Given that A = y², we can say that 2y² = 2A

Therefor, if x² = 2y², then x² = 2A

Thus, if we want to find the formula for area in terms of x, we need to simply rearrange the given formula to make A the subject, giving us:

A = x²/2 square units

Hope that helps :)

Answer:

Look at the picture

Step-by-step explanation:

I don't know what the option choices were, but I graphed the equation on a website called desmos.com so the answer is the one that looks like this graph:

Answer:

2nd and 3rd options are correct

Step-by-step explanation:

Option 1 is wrong because there are obviously 13 scores

Option 2 is correct (quite obvious, just count the number of scores larger than 75)

Option 3 is correct. The method to find the median is to arrange all the numbers in ascending value (this is already done for you), and then locating the middle number. This happens to be 82.

Option 4 is wrong because the only 2 scores between 90 and 100 are 93 and 99

Option 5 is not necessarily true. The max score could be 99? or 102?, or 150? we just don't know. Hence this does not apply.

I think you mean the value of 'm' not 'b' as there is no 'b' variable given in the equation.

Assuming you meant 'm' then,

5 - 10m = 3m

   + 10m    + 10m

5 = 13m

/13   /13

0.384615385 = m

Answer:

It is 10. I know you are trying to apply it with the quadratic formula.

Step-by-step explanation:

Answer:

h = 147 - 16t^2.

Step-by-step explanation:

Use the following equation of motion

h = ut + 1/2 gt^2    where  h = height, u = initial velocity , g = acceleration due to gravity and t = the time.

So here we have:

h = 14t + 1/2 * -32 * t^2

h = 14t - 16t^2

Answer:

Height of jump, s(t) = 14t - 16.09t²

Step-by-step explanation:

We have equation of motion s = ut + 0.5 at².

For the this vertical motion we have

              s = height of jump

              u = initial velocity = 14 ft/s

               t = time

               a = acceleration due to gravity = -32.17 ft/s²

Substituting

                 s = 14 x t + 0.5 x (-32.17) x t²

                 s = 14t - 16.09t²

Height of jump, s(t) = 14t - 16.09t²

Answer: Option C

[tex]y=5[/tex], [tex]x=10[/tex]

Step-by-step explanation:

If the lines m and n are parallel then the large triangle and the small triangle are similar triangles, because they have equal angles.

By definition for similar triangles it is satisfied that if they have sides of length a, b, c and a', b',  c'  then:

[tex]\frac{a}{a'}=\frac{b}{b'} =\frac{c}{c'}[/tex]

In this case

[tex]a = 12\\a' = 4\\c = 15\\c' = y[/tex]

So:

[tex]\frac{12}{4}=\frac{15}{y}[/tex]

Now solve the equation for the variable y

[tex]3=\frac{15}{y}[/tex]

[tex]y=\frac{15}{3}[/tex]

[tex]y=5[/tex]

We know that

[tex]x+y=15[/tex] and  [tex]y=5[/tex]

Then

[tex]x+5=15[/tex]

[tex]x=10[/tex]

Finally the answer is:

[tex]y=5[/tex], [tex]x=10[/tex]

Answer:

Step-by-step explanation:

b gtbrtegb hvn by

The answer choice that matches the box plot you draw would be B.

A box plot can be used to represent the distribution of a data set using the five-number summary. The five-number summary include the following:

To plot a box plot for the given data, we need to determine the value of each of the five-number summary of the data set.

Given:

12, 14, 17, 23, 25, 30, 32, 37, 38, 40, 41

The minimum: Lowest data value in the data set is the minimum = 12

The maximum: Highest data value = 41

Median: The middle data value (the 6th data point) = 30

First Quartile: The middle value of the first part of the data set before the median (the 3rd data point) = 17

Third Quartile: The middle value of the second part of the data set after the median (the 9th data point) = 38

Next is to plot the five-number summary on a box plot.

Min value, 12, is displayed and represented by the whisker you have at your far left.

Max value, 41, is displayed and represented by the whisker you have at your far right.

Median value, 30, is displayed and represented by the vertical line that divides the rectangular box into two you.

Q1 value, 17, is displayed and represented at the beginning of the rectangular box.

Q3 value, 38, is displayed and represented at the end of the rectangular box.

The box plot of the given data when drawn would match the following as shown in the attachment below.

Therefore, the answer choice that matches the box plot drawn is B.

Learn more about box plot here:

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[tex]3(2x+5) = 3x+4x\\6x+15=7x\\x=15[/tex]

Answer:

x = 15

Step-by-step explanation:

Given

3(2x + 5) = 3x + 4x ← collect like terms

3(2x + 5) = 7x ← distribute parenthesis on left side by 3

6x + 15 = 7x ( subtract 6x from both sides )

15 = x ⇒ x = 15

Answer:

The additive inverse is equal to [tex]-2a-b[/tex]

Step-by-step explanation:

we know that

The additive inverse of a number is equal to its opposite ( the sum of a number and its additive inverse is equal to zero)

so

we have

[tex]2a+b[/tex]

Multiply by -1

[tex]-1(2a+b)=-2a-b[/tex]

therefore

The additive inverse is equal to [tex]-2a-b[/tex]

Answer:

30

Step-by-step explanation:

Note that, when two negative signs are directly next to each other, they mean addition. Note the rule:

A positive sign & A positive sign = Positive number.

A positive sign & A negative sign = Negative number.

A negative sign & A negative sign = Positive number.

In this case:

- (-15) = + 15

Simplify. Combine like terms:

15 + 15 = 30

30 is your answer.

~

Answer:

B. 37.5 sq. units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and  h is the height

A = 1/2 (5 * 15)

A =37.5 units^2

Answer:375 units

Hope this helps

Answer:

Number of square inches glasses = 1788

Step-by-step explanation:

Formula

Surface area of cuboid = 2(lb + lh + bh)

l - Length of cuboid

b - Breadth of cuboid

h - Height of cuboid

To find the number of glasses needed

Here fish tank is like a open cuboid, we have to find the surface area of top  open cuboid.

Here l = 30 in , b = 18 in and h = 13 in

Surface area = 2(lb + lh + bh) - lb

= 2[(30 * 18) + ( 30 * 13) + (18 * 13)] - (30 * 18)

= 2[540 + 390 + 234] - 540

= 2[1164] - 540

= 1788 square inches

Number of square inches glasses = 1788

Answer:

$409.86

Step-by-step explanation:

230 is the before markup

We must apply the markup (or even discount) before the tax is applied.

Marked up 65% means we must do .65(230)  <---This will tell us how much more the tent is going to sell for

.65(230)=149.5

So we started with 230 and it is going up by 149.5, so the new price before tax is 230+149.5=379.5

Now the tax is applied to what you are paying (before tax).

So 8% of 379.5 is .08(379.5)=30.36

So new price + tax is the total cost

    379.5        +30.36

=409.86

Answer: 83

Step-by-step explanation:

(-7+31) - (2-61)

(24) - 2+61

22+61

83

Answer:

6a^2

Step-by-step explanation:

Answer:

0.75m/s

Step-by-step explanation:

Speed formula: ⇒ [tex]S=\frac{V}{T}[/tex]

Divide by the numbers from left to right.

S=18

T=24

18/24=0.75

0.75m/s is the correct answer.

I hope this helps you, and have a wonderful day!

[tex]\frac{3}{4}[/tex] millimeter per second

You simply need to divide [tex]\frac{18}{24}[/tex].  This is a fraction, so you can just simplify it.

Divide the numerator and the denominator each by 6, which is the greatest common factor.  [tex]\frac{\frac{18}{6}}{\frac{24}{6}} = \frac{3}{4}[/tex]

This is as simple as the result can get, so [tex]\frac{3}{4}[/tex] millimeter per second is the final answer.

Answer:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. ... A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid. This conjecture tells us that the base angles of an isosceles trapezoid are equal in measure

Step-by-step explanation:

Answer:

A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

Answer:

x = 0, 6, -1

Step-by-step explanation:

We need to set f(x) = 0 to find the values of x for this expression.

So

[tex]x^3-5x^2-6x=0[/tex]

We will factor out an x and do middle term factorization to arrive at our answer for x (there will be 3 x values):

[tex]x^3-5x^2-6x=0\\x(x^2-5x-6)=0\\x(x-6)(x+1)=0\\x=0,6,-1[/tex]

These are the 3 values for x.

Answer:

Step-by-step explanation:

5x² − 8x + 5 = 0

delta = b²- 4ac        a =5   and b = - 8   and c=5

delta = (-8)²- 4(5)(5) = 64 - 100 = -36 = (6i)²    . i² = -1

x1 = (8-6i)/10 =(4-3i)/5

x2 = (8+6i)/10 =(4+3i)/5

so r=4 and s=3 and t= 5

Answer:

Step-by-step explanation:

a = 5; b = -8;  c = 5

b² -4ac =  (-8)² - 4 * 5 * 5 = 64 - 100 = (-36) < 0

x = -b ± √(4ac - b²) i / 2a

  =  - (-8) ±√ 4 * 5 * 5 - (-8)² i / 2 *5

  = 8 ± √36 i

        10

= 8 ± 6 i

     10

= 2 (4 ± 3i)   = 4 ± 3i

        10              5

= 4   ± 3i

  5        5

x = 4/5 + 3i/5 ;  x = 4/5 - 3i/5

Answer: w • 8 + 7 = 2

Step-by-step explanation:

Just translate the words into numbers. Product is multiplication and seven more means add.

Answer:

Equation:

(W * 8) + 7 = 2

W = - 0.625

Step-by-step explanation:

8W = - 5

W = - 0.625

Answer:

65

Step-by-step explanation:

To solve this equation, we should simplify it as much as possible, which means multiply everything together.

[tex]65*92*17=101660[/tex]

[tex]92*17*x=1564x[/tex]

Now we can solve for [tex]x[/tex] by dividing each side by the coefficient.

[tex]101660=1564x[/tex]

[tex]x=65[/tex]

if we take 80 as the 100%, what is 110% of that?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 80&100\\ x&110 \end{array}\implies \cfrac{80}{x}=\cfrac{100}{110}\implies \cfrac{80}{x}=\cfrac{10}{11}\implies 880=10x \\\\\\ \cfrac{880}{10}=x\implies 88=x[/tex]

All we need to do to answer this question is find 10% of 80, and add that to 80 to find 110%.

To find 10% of 80, multiply it by the decimal of 10%, or .1.

80*.1=8.

Now, add 8 to 80 to get 110% of 80.

80+8=88

110% of 80 is 88.

Hope this helps!