What triangle congruence method is used for this triangle?

Check the picture below.

Answer:

[tex]x =\dfrac 47[/tex]

Step-by-step explanation:

[tex]~~~~~9x-1 = 2x+3\\\\\implies 9x -2x = 3+1\\\\\implies 7x = 4\\\\\implies x =\dfrac 47[/tex]

The sides length of the square is 3 units, then the perimeter of the square is 12 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

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Answer: [tex]\displaystyle d=3\sqrt{5}[/tex]

Step-by-step explanation:

     First, we will find the coordinate placement of each point. See attached.

     Now, we can use the distance formula.

[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]

[tex]d=\sqrt{(6-3)^2 +(-3-3)^2}[/tex]

[tex]d=\sqrt{(3)^2 +(-6)^2}[/tex]

[tex]d=\sqrt{9+36}[/tex]

[tex]d=\sqrt{45}[/tex]

[tex]d=\sqrt{9*5}[/tex]

[tex]\displaystyle d=3\sqrt{5}[/tex]

Answer:

42.5° East of South

Step-by-step explanation:

Hope this helps :)

The percent of the purchase price for Julio’s down payment was C. 18%

This refers to the amount of money that is added to a loan collected by a person, for when he makes repayment.

Hence,

Given that

We use the formula Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]

Pv= 1,558.09×((1−(1+0.05875÷12)^(−12×20))÷(0.05875÷12))

=219,684.92

Next thing to do is make a subtraction to get the down payment:

267,900−219,684.92=48,215.08

Then the percentage would be:

48,215.08÷267,900= 18% approx.

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Answer:

a

.6666666 has been rounded up to .6666667

b

0.3333333 = 1/3

0.8333333 = 5/6

2.1666667 = 13/6

0.6666667 = 2/3

0.1428571429 = 1/7

1.6666667 = 5/3

Step-by-step explanation:

a

7 appears at the end of 3 of the decimals because it has been rounded up from 6.66666 recurring.

b

I will go through how to convert one decimal to a fraction:

0.833333333 = x

8.333333333 = 10x

83.33333333 = 100x

100x - 10x = 75

90x = 75

x = 75/90 = 5/6

Answer:

73008 views

Step-by-step explanation:

find 27% of 35100:

35100*27/100

=9477

so, you start with 35100 which means;

35100 + (9477*4)

35100 + 37908

= 73008 views

Answer: 91,311

Step-by-step explanation:

This is what it shows as correct on ixl.

Answer: A: $6324

B: by $1005.04 more

Step-by-step explanation:

A: 6.2% of 102,000 is 6324

B: find the tax rate of each job by finding 6.2% of what was paid, add them together, then subtract the maximum tax rate from that to see how he over paid

Answer:

2 and 5/11

Step-by-step explanation:

first we find how many times 11 goes into 27. It goes in twice, which gives us our whole number, 2. Then we need to find the fraction part, which is whatever's left over. 27-22 is 5, giving us 2 and 5/11

Answer:

3rd option, r(t) = 310t

Step-by-step explanation:

310 years is like the slope so you multiple it by the amount of years

example: in 2 years it would make 620 orbits since 310(2) = 620

Answer:

Reflection over the y-axis followed by a translation to the left by 2 units

Step-by-step explanation:

From inspection of the graph, the y-values of figure ABCD and the y-values of figure A'B'C'D' have not changed, yet the x-values have changed from positive to negative.

(x, y) →  (-x, y)

This indicates a reflection in the y-axis.

To reflect figure ABCD in the y-axis, simply change the x-values to negative:

A (1, 3)  →  (-1, 3)

B (3, 4)  →  (-3, 4)

C (2, 1)  →  (-2, 1)

D (1, 1)  →  ( -1, 1)

Comparing the x-values of the figure reflected in the y-axis to the x-values of the final translated figure, the reflected figure needs to be translated to the left by 2 units.

So the total transformation is: (x, y) → (-x - 2, y)

A (1, 3)  →  A' (-3, 3)

B (3, 4)  →  B' (-5, 4)

C (2, 1)  →  C' (-4, 1)

D (1, 1)  →  D' ( -3, 1)

The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.

∠Z = 180 - 86-38 = 56°

Similarly,

∠L = 38°

From this, two triangles XYZ and LMN

We can say:

ΔXYZ≅ΔLMN

∠Y = ∠M = 86°

∠X =∠L = 38°

XZ ≅ LN

Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

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Answer:

D) A triangle where there is a 90 degree angle

Step-by-step explanation:

Answer:

48.89

Hope this helps!!

Answer: 48.89

Step-by-step explanation:

     The proportion for tangent is the opposite side over the adjacent side.

[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]

Given:

tan(E) = [tex]\frac{55}{48}[/tex]

Inverse:

[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]

Simplify:

≈ 48.8879

Round:

≈ 48.89

Answer:

He is false

Step-by-step explanation:

Hey there!

The area of a shape is the total measurement of the inside of the shape

Meaning the parts I shaded in the screenshot

As you can see in the image, there is less area in shape B than shape A

Meaning, that the area has decreased

Now, Tom says that both area and perimeter has decreased

Lets check if the perimeter has decreased

If you look at it, the perimeter hasn't decreased at all

All that has happened was the shape getting a new form

The dimension are basically split

For example, if the top side of the square was 6 inches

Then the dimension after taking out a square from the shape would split

The top side of that square after is was split would be something along the ligns of 4 inches, and 2 inches and other dimensions like that

That is how I think of the perimeter and if it changes or not

But this explains why Tom is wrong

Since the perimeter is still the same

Tom is wrong

Answer:

4,8

Step-by-step explanation:

because the lins equation goes through in 6

Answer:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

Given/To Find:

What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

Answer choices:

x = the quantity of 3 plus or minus the square root of 37 all over 2

x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2

x = the quantity of negative 3 plus or minus the square root of 19 all over 2

Solve:

By using the quadratic formula, the solutions are

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4\times1\times(-7)}}{2\times1}[/tex]

[tex]x=\frac{3±\sqrt{37}}{2}[/tex]

Hence, the answer is :

x = the quantity of 3 plus or minus the square root of 37 all over 2

Kavinsky

Answer:

The exact solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

We are asked to find the exact solution of the polynomial equation which is given by:

[tex]x^2 - 3x - 7 = 0[/tex]

We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.

Now, on solving the quadratic equation i.e.  degree 2 polynomial equation using the quadratic formula:

That is any polynomial equation of the type:

[tex]ax^2+bx+c=0[/tex]

is solved by using the formula:

[tex]x=\frac{-b±\sqrt{x} b^2-4ac}{2a}[/tex]

Here we have:

a=1, b=-3 and c=-7.

Hence, the solution of the equation is:

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4*(-7)*1} }{2*1}[/tex]

[tex]x=\frac{3±\sqrt{9+28} }{2}[/tex]

[tex]x=\frac{3±\sqrt{37} }{2}[/tex]

Hence, the solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

( i.e.

[tex]x=\frac{3±\sqrt{37} }{2}[/tex] )

Answer: B, C, D, E

Step-by-step explanation:

Answer:

The expected number of blue tiles is 20 blue tiles.

Step-by-step explanation:

You can easily do 80% x 25 or

0.8 x 25 = 20

OR (other method)
Turn the 80% into a fraction
80        x
----  =  -----
100     25

100 / 4 gives us 25, so 80 / 4 will give 20.

So the answer is 20 blue tiles.

Answer:

11......................

The horizontal ground distance between the person and the plane is 6174.5 feet

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

Let d represent the horizontal ground distance between the person and the plane.

tan(39) = 5000 / d

d = 6174.5 feet

The horizontal ground distance between the person and the plane is 6174.5 feet

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Answer:

18 m

Step-by-step explanation:

11m + 7m is 18m
The final answer is 18m

The change in altitude of the kingfisher is 18 m.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

Suppose the distance above the cliff is represented by a positive integer.

Then the distance below it is represented by a negative integer.

Thus, change in altitude of the kingfisher

= 7-(-11)

= 7+11

= 18 m

Hence, the change in altitude of the kingfisher is 18 m.

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Answer:

[tex]a = b\sqrt{5} - 8\sqrt{5}\\b = -8 - \frac{a\sqrt{5}}{5}[/tex]

Step-by-step explanation:

working attached

Answer:

Option (2)

Step-by-step explanation:

Answer:

If the children divide evenly onto 3 buses, there will be 11 children on each bus

Step-by-step explanation:

Add all 3 classes to ind total amount of students

Ms. Noels class has 10 students

Mr. Grubbs class has 9 students

Ms. Ackerman's class has 14 students

Total Students: 10 students + 9 students + 14 students

33 total students

Dividing 33 students in 3 busses is 33 / 3 which equals 11

[tex]2x+y-2z=-1\\\\x+0\cdot y-2z=-4\\\\0\cdot x -5y + 2z=-23\\\\\text{In}~ AX =B~ \text{form,}\\\\\begin{bmatrix} 2 & 1&-2\\ 1&0&-2\\ 0&-5&2\end{bmatrix} \begin{bmatrix} x\\y\\z\end{bmatrix}= \begin{bmatrix} -1\\-4\\-23\end{bmatrix}[/tex]

Answer:

1,260

Step-by-step explanation:

you have too do 2 by 3 by 5 by 6 by 7 so you get

1,260

[tex]~~~~(7x+8)+33 +90 = 180\\\\\implies 7x+131=180\\\\\implies 7x = 180 -131\\\\\implies 7x =49\\\\\implies x = \dfrac{49}7\\\\\implies x = 7[/tex]