Given that the quadrilateral is a trapezoid, XW ≅ YZ and m∠Z = 44° , what is m∠X?

Answer:

Dimensions of square shaped pit = 6m [tex]\times[/tex] 6m

Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m

Step-by-step explanation:

Given:

Two pits in the school playground area (one square shaped and one rectangular shaped).

Each pit must have an area = 36 [tex]m^2[/tex]

To find:

Dimensions of each pit = ?

Solution:

First of all, let us have a look at the formula for area of a square and a rectangle:

[tex]Area_{square} = (Side)^2[/tex]

[tex]Area_{Rectangle} = Length\times Width[/tex]

Now, let us try to find out dimensions of square:

[tex]36 = Side^2\\\Rightarrow Side = 6\ m[/tex]

So, dimensions of Square will be 6m [tex]\times[/tex] 6m.

Now, let us try to find out dimensions of rectangle.

[tex]36 = Length\times Width[/tex]

We are not given any restrictions on the Length and Width of the rectangle.

So, let us explore all the possibilities by factorizing 36:

[tex]36 = 1 \times 36\\36 = 2 \times 18\\36 = 3 \times 12\\36 = 4 \times 9[/tex]

6 [tex]\times[/tex] 6 factors not considered because then it will become a square and which is not the required case.

Dimensions of rectangular pit = 1m [tex]\times[/tex] 36m or 2m [tex]\times[/tex] 18m or 3m [tex]\times[/tex] 12m or 4m [tex]\times[/tex] 9m

~ ANSWER=1/2 ~

Simple probability is found by counting all the results which fit requirements and dividing by all possible results.

To find probability of two results in a row, multiply chance of first result by chance of second result.

Since you are replacing the marble before the second draw, we don’t have to figure out the various changes in odds for the different possible first draws. It’s just that simple.

There are 5 white marbles

There are 4 red marbles

There are always 20 marbles in all

5/20*4/20=1/4*1/5=1/20 or 1/2

By coincidence, the same as the chance of drawing the white marble in one draw.

Answer:

5/18

Step-by-step explanation:

Answer:

e = -2

Step-by-step explanation:

Well to solve for e in the following equation,

.75(8 + e) = 2 - 1.25e

We need to distribute and use the communicative property to find e.

6 + .75e = 2 - 1.25e

-2 to both sides

4 + .75e = -1.25e

-.75 to both sides

4 = -2e

-2 to both sides

e = -2

Thus,

e is -2.

Hope this helps :)

Answer:

[tex]\boxed{-25x-y}[/tex]

[tex]\boxed{-p^2q +5pq^2}[/tex]

Step-by-step explanation:

[tex](-15x+6y)-(10x+7y)[/tex]

Distribute negative sign.

[tex]-15x+6y-10x-7x[/tex]

Combine like terms.

[tex]\boxed{-25x-y}[/tex]

[tex]2pq(p+q)- (3pq(p-q))[/tex]

Expand brackets.

[tex]2p^2 q+2pq^2 -(3p^2q-3pq^2)[/tex]

Distribute negative sign.

[tex]-3p^2q+3pq^2+2p^2q+2pq^2[/tex]

Combine like terms.

[tex]\boxed{-p^2q +5pq^2}[/tex]

Answer:

Step-by-step explanation:

a.

[tex] - 15x + 6y - (10x + 7y)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 15x + 6y - 10x - 7y[/tex]

Collect like terms

[tex] - 15x - 10x + 6y - 7y[/tex]

[tex] - 25x - y[/tex]

b.

[tex]2pq(p + q) - 3pq(p - q)[/tex]

Factor out pq from the expression

[tex]pq(2(p + q) - 3(p - q))[/tex]

Distribute 2 through the parentheses

[tex]pq \: (2p + 2q - 3(p - q)[/tex]

Distribute -3 through the parentheses

[tex]pq \: (2p + 2q - 3p + 3q)[/tex]

Collect like terms

[tex]pq( - p + 5q)[/tex]

Hope this helps...

Best regards!!

Answer:

16

Step-by-step explanation:

I took the test and that's the answer.

Answer:

16

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION;

✓The given figure is a special right triangle and it's a 30° 60° 90° angle.

The length of its side have the ratio of

1: √3: 2 i.e adjacent, opposite, Hypotenuse

✓ it has an Hypotenuse which is double in value to the adjacent.

✓ the adjacent ( shortest sides) = 8 unit,

Then the Hypotenuse= ( 2×8)= 16 units

Answer:

A:

9×1=9

9×2=18

9×3=27

9×4=36

9×5=45

9×6=54

9×7=63

9×8=72

9×9=81

9×10=90

B:

It goes down by 1 after multiplying a bigger number.

C:

It goes up by 1 after multiplying a bigger number.

Step-by-step explanation:

hope this helps you and have a great day

Answer: Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Step-by-step explanation:

Given that;

U = 75

X = 78

standard deviation α = 10

sample size n = 20

population is normally distributed

PROBLEM is to test

H₀ : U = 75

H₁ : U ≠ 75

TEST STATISTIC

since we know the standard deviation

Z =  (X - U) / ( α /√n)

Z = ( 78 - 75 ) / ( 10 / √20)

Z = 1.3416 ≈ 1.342

Now suppose we need to test at ∝ = 0.05 level of significance,

Then Rejection region for the two tailed test is Zc = 1.96

∴ Reject H₀ if Z > Zc

and we know that Z is less than Zc ∴ 1.342 < 1.96

Therefore, Null hypothesis is not Rejected.

There is no sufficient evidence to claim that students turning in their test first score is significantly different from the mean.

Testing the hypothesis, it is found that since the p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.

At the null hypothesis, we test if the mean is of 75, that is:

[tex]H_0: \mu = 75[/tex]

At the alternative hypothesis, we test if the mean is different of 75, that is:

[tex]H_1: \mu \neq 75[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

For this problem, we have that:

[tex]X = 78, \mu = 75, \sigma = 10, n = 20[/tex]

The value of the test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{78 - 75}{\frac{10}{\sqrt{20}}}[/tex]

[tex]z = 1.34[/tex]

Since this is a two-tailed test, the p-value of the test is P(|z| < 1.34), which is 2 multiplied by the p-value of z = -1.34.

Looking at the z-table, z = -1.34 has a p-value of 0.0901.

2(0.0901) = 0.1802

The p-value of the test is 0.1802 > 0.05, which means that the average test score earned by the first 20 students to turn in their tests was not significantly different from the overall mean.

A similar problem is given at https://brainly.com/question/15535901

Answer:

The coordinate of the point is (-5, 4)

Step-by-step explanation:

In a regular two dimensional graph, the abscissa is the horizontal or x - axis while the y-axis which is the vertical axis is referred to as the ordinate

Abscissa and ordinate are used in mathematics to indicate the coordinate of a point in a two dimensional coordinate system, where the abscissa and ordinate are placed in between a parenthesis, with the abscissa being on the left and the ordinate on the right separated by a comma.

Answer:

a.

Explanation:

In the chart, the average temperature of each month at the beginning of the year gradually rises until August, where it begins to decrease. This trend is displayed in graph a. Additionally, each month on the x-axis is shown correctly because the months should only span numbers 1-12.

Answer: the answer is A

Step-by-step explanation: hope this helps :D can u plz give a brainliest

Answer:

x = 64

Step-by-step explanation:

∠ HIA and ∠ LJK are corresponding angles and congruent, thus

∠ HIA = 60°

The sum of the 3 angles in Δ HIA = 180° , thus

x = 180 - (60 + 56) = 180 - 116 = 64

Answer:

12 feet

Step-by-step explanation:

It's a classic 5-12-13 triangle or you can used the Pythagorean Theorem:

[tex]13^{2} -5^{2}=x^{2} \\169-25=x^{2} \\144=x^{2} \\12=x[/tex]

Answer:

The tree is 12 about feet high.

Step-by-step explanation:

The way to find the answer is with Pythagorean Theorem.

The ladder is 13 feet and is the hypotenuse or c.

13^2

The 5 feet away from the tree is one of the two legs or a

5^2

We are trying to find the second leg, b.

b^2

Now you write the formula:

c^2=a^2+b^2

Then insert the numbers:

13^2=5^2+b^2

The isolate the variable:

Subtract 5^2 on each side

13^2 - 5^2=b^2

Now flip the expression so the variable is on the left side:

b^2=13^2 - 5^2

Simplify:

b^2=169 - 25

Simplify:

b^2= 144

Square root both sides to get the variable alone:

srt b^2 is b

srt 144 is 12

b=12

Don't forget units!

The tree is 12 feet high

Answer:

second option

Step-by-step explanation:

Given

f(x) = - [tex]x^{5}[/tex] + 9[tex]x^{4}[/tex] - 18x³

To find the zeros let f(x) = 0, that is

- [tex]x^{5}[/tex] + 9[tex]x^{4}[/tex] - 18x³ = 0 ( multiply through by - 1 )

[tex]x^{5}[/tex] - 9[tex]x^{4}[/tex] + 18x³ = 0 ← factor out x³ from each term

x³ (x² - 9x + 18) = 0 ← in standard form

x³(x - 3)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x³ = 0 ⇒ x = 0 with multiplicity 3

x - 3 = 0 ⇒ x = 3 with multiplicity 1

x - 6 = 0 ⇒ x = 6 with multiplicity 1

Answer: It is B

Step-by-step explanation: Checked on a online calculator.

Answer:

  88

Step-by-step explanation:

2.75 ft = (2.75 ft)(12 in/ft) = 33 in

At 0.375 inches per plate, there will be ...

  (33 in)/(0.375 in/plate) = 88 plates

There are 88 steel plates in the pile.

Answer: w= 52h

Step-by-step explanation:

Given: Maya is interning at a law firm over the summer and is paid by the hour.

Her hourly pay = $52

i.e. She is paid $52 per hour.

Let the wages she earns is denoted by 'w' and the number of hours is denoted by 'h'.

Now, (Total wages earned) = (hourly pay) x (Number of hours)

w = (52) (h)

⇒ w= 52h

Hence, the equation represents the proportional relationship between the wages she earns (w) and the number of hours (h): w= 52h

Answer:52h

Step-by-step explanation: tried got it right

Answer:

[tex]\boxed{-432\sqrt{2} i}[/tex]

Step-by-step explanation:

[tex]( 2 \sqrt{-2} )( 3 \sqrt{4} ) \sqrt{-3} \times ( 2 \sqrt{-3} )( 3 \sqrt{2} ) \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times \sqrt{4} \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times \sqrt{2} \times \sqrt{2}[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times \sqrt{-3} \times 2 \times \sqrt{-3} \times 3 \times 2[/tex]

[tex]2 \times \sqrt{-2} \times 3 \times 2 \times -3 \times 2 \times 3 \times 2[/tex]

[tex]-432\sqrt{2}\sqrt{-1}[/tex]

[tex]-432\sqrt{2} i[/tex]

Answer: it’s d!

Step-by-step explanation:

Answer:

y = -2x + 5

Step-by-step explanation:

You use the equation y = mx + b, where m is the slope and b is the y-intercept. We see that the line hits the y-axis at 5, so that will be your b. To find the slope, use [tex]\frac{rise}{run}[/tex]. You have to go down 4 and right 2, so your slope will be [tex]-\frac{4}{2}[/tex] which simplifies to -2. Hope this helps!

Answer: y=2/-5x+5

Step-by-step explanation:

Answer:

1. 2⁶

2. 6⁷

3. 14⁵

Step-by-step explanation:

We assume and apply the laws of logarithms and indices in the problems above.

1. Product Rule Law: which states that

loga (MN) = loga M + loga N

Where 2² X 5⁵  = 2²+⁵ = 2⁷

2. The Power rule: in which (6⁵)² = 6⁵+² = 6⁷

3. (2x7)⁵ = (14)⁵ or 5 log 14

Answer:

B. 2

Step-by-step explanation:

ed2020

If Y bracelet is chosen first then there will be only two ways to give out the bracelets.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

Given that Jillian has three bracelets

X, Y, and Z

Said that Y has chosen first

The remaining bracelets are X and Z

Number of ways

It means there are only two ways to give out bracelets.

Hence "If Y bracelet is chosen first then there will be only two ways to give out the bracelets".

For more about permutation and combination,

https://brainly.com/question/13387529

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Answer:

Step-by-step explanation:

(-100*0.9)(x)==-90x

Blake should first multiply the numbers in parenthesis and then multiply by x, even the answer is right but the process is wrong Blake has to follow the rule

Parenthesis , Exponent, Multiplication/Division, Addition/ Subtraction

P E M D A S

Answer:

the answer would be x is less than 6.

Step-by-step explanation:

the reason why it would not be x is less than or equal to 6 is that the circle is not filled in.

Answer:

B

Step-by-step explanation:

x≤6

We can see from the graph that it starts from 6 and goes to 5, 4, 3, 2.

Hope this helps ;) ❤❤❤

Answer:

6/35

Step-by-step explanation:

add ¹/7+¹/5 =12/35

divide 12/35 by 2

=6/35

Answer:

The correct option is;

C. 15 in 16

Step-by-step explanation:

The given information are;

The number of press-ups required = 14 press-ups

The number of press-ups Jessica is sure to do = 10 press-ups

The chance of Jessica doing subsequent press-ups after 10 halves each time

The consequence of not completing the 14 press-ups =  Punishment

The probability that Jessica does goes on to do 11 press-ups = 1/2

The probability that Jessica does goes on to do 12 press-ups = 1/2×1/2

The probability that Jessica does goes on to do 13 press-ups = 1/2×1/2×1/2

The probability that Jessica does goes on to do (completes) 14 press-ups = 1/2×1/2×1/2×1/2 = 1/16

Therefore;

Since the probability that Jessica does not receive a punishment because she completed the 14 push-ups is 1/16, we have;

The probability that Jessica does not complete the 14 press-ups and receives a punishment = 1 - 1/16 = 15/16 which is 15 times out of 16 or 15 in 16.

Answer:

Δ BEC ≅ Δ AED

Step-by-step explanation:

Consider triangles BCA and ADB. Each of them share a common side, AB. Respectively each we should be able to tell that AD is congruent to BC, and DB is congruent to CA, so by SSS the triangles should be congruent.

_________

So another possibility is triangles BEC, and AED. As you can see, by the Vertical Angles Theorem m∠BEC = m∠ADE, resulting in the congruency of an angle, rather a side. As mentioned before AD is congruent to BC, and perhaps another side is congruent to another in the same triangle. It should be then, by SSA that the triangles are congruent - but that is not an option. SSA does is one of the exceptions, a rule that is not permitted to make the triangles congruent. Therefore, it is highly unlikely that triangles BEC and AED are congruent, but that is what our solution, comparative to the rest.

Δ BEC ≅ Δ AED .... this is our solution

Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.

Step-by-step explanation:  The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.

So any other number could be a possibility.

Answer:

sqrt(68) is the length.

Step-by-step explanation:

For this you will use the distance formula, sqrt((x2-x1)^2+(y2-y1)^2)

So for this it is sqrt((5+3)^2+(-2+4)^2)

sqrt(64+4)

sqrt(68)

8.246

Answer:

y = -7

Step-by-step explanation:

-3x – 2y = -25

Let x = 13

-3 * 13 -2y = -25

-39 -2y = -25

Add 39 to each side

-39+39 -2y = -25+39

-2y =14

Divide by -2

-2y/-2 = 14/-2

y = -7

Answer:

y = -7

Step-by-step explanation:

-3x - 2y = -25

Plug x as 13.

-3(13) - 2y = -25

-39 - 2y = -25

Add 39 on both sides,

- 2y = 14

Divide both sides by -2.

y = -7

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

Where m is the slope

c is the y intercept

From the question the y intercept is 3

and the slope is 2

Substituting the values into the above equation

We have

Hope this helps you

The equation of a line that passes through [tex](0,3)[/tex] and a slope [tex]2[/tex] is [tex]y=2x+3[/tex].

The equation of a line that passes through a point [tex](x_1, y_1)[/tex] and slope [tex]m[/tex] is:

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

Here, the point is [tex](0,3)[/tex] and the [tex]slope[/tex] is [tex]2[/tex].

So, [tex]x_1=0, y_1=3[/tex] and [tex]m=2[/tex].

So, the equation of the line is

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

[tex](y-3)=2(x-0)[/tex]

[tex]y-3=2x-0[/tex]

[tex]y=2x+3[/tex]

So, option B is correct.

Learn more about equation of a line here:

https://brainly.com/question/19456910?referrer=searchResults

f-g means to subtract g from f:

(4^x - 8) - (5x+6)

Remove the parenthesis and change the equations sings for g:

4^x-8 -5x -6

Combine like terms:

4^x - 5x - 14

The answer is A.

To show that triangle ABC is congruent to triangle XYZ by side-angle-side congruency theorem, BC must be equal to YZ (BC ≅ YZ).

Two triangles are said to be similar if they have the same shape and the corresponding sides are congruent to each other. Also, corresponding angles are congruent.

To show that triangle ABC is congruent to triangle XYZ by side-angle-side congruency theorem, BC must be equal to YZ (BC ≅ YZ).

Find out more on similar triangles at: https://brainly.com/question/2644832

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Answer:

The translation from triangle IJK to triangle I'J'K' is [tex]T_{(2, 6)}[/tex] which is 2 units to the right and 6 units up

Step-by-step explanation:

The coordinates of triangle JKI are;

J has coordinates (1, - 1)

K has coordinates (1, - 4)

I has coordinates (-3, - 2)

While, the coordinates of translation triangle J'K'I' are;

J' has coordinates (3, 5)

K' has coordinates (3, 2)

I' has coordinates (-1, 4)

Which give the translation as follows

Translation in the y-coordinate (y values);

For J = 5 - (-1) = 6

For K = 2 - (-4) = 6

For I = 4 - (-2) = 6

Translation in the x-coordinate (x values);

For J = 3 - 1 = 2

Therefore, the translation from triangle IJK to triangle I'J'K' is T(2, 6) which is 2 units to the right and 6 units up