Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

It is given that ️PQR & ️UVW are congruent to each other. According to CPCT, the corresponding angles in 2 triangles willl have the same measure. So, ∠R = ∠W, i.e, (10x - 18)° = 8x°

[tex]\mathfrak{10x - 18 = 8x} [/tex]

[tex]\mathfrak{10x - 8x = 18} [/tex]

[tex]\mathfrak{2x = 18} [/tex]

[tex]\mathfrak{x = \dfrac{18}{2}} [/tex]

[tex]\underline{\mathfrak{x = 9}} [/tex]

Measure of ∠R :

[tex]\mathfrak{8x} [/tex]

[tex]\mathfrak{8(9)} [/tex]

[tex]\boxed{\mathfrak{72^{\circ}}} [/tex]

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Answer:

a = 22

AB = 50

Step-by-step explanation:

[tex]a-5=17[/tex]

[tex]a=17+5[/tex]

[tex]a=22[/tex]

Line AB=2a+6

[tex]2(22)+6=44+6=50[/tex]

[tex]AB=50[/tex]

Hope this helps

The time it takes to type the document increases proportionately to the

number of words in the document.

Reasons:

From the possible figure from a similar question, we have;

The points on the graph are; (0, 0), (1, 60), (2, 120), (3, 180), (4, 240)

The graph is a straight line, therefore, given that the starting point is at the origin, using the points, (0, 0), (1, 60), we have;

The slope of the graph = 60

The y-intercept = 0

The equation that represents the proportional relationship shown on the graph is therefore;

y = 60·x

Where;

y = The number of words

x = The time it takes to type the document

The time it would take Maya to type the document of 2,160 words is given as follows;

2,160 = 60·x

Therefore;

[tex]\displaystyle Time, \ x = \frac{2,160 \ words}{60 \ words/minute} = \mathbf{36 \ minutes}[/tex]

The time it would take Maya to type the document is x = 36 minutes

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Answer:

1100

Step-by-step explanation:

Answer:

the answer is 10 :)

Step-by-step explanation:

Answer:

36 ÷ __4__ = 9

Step-by-step explanation:

36/9 = 4, so

36 ÷ __4__ = 9

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

Answer:

y= (x+1)(x+ .5) (x+ 3.5)

y= (x+1) (X - .5) (x-3.5)

y = (x-1) (X-.5) (x-3.5)

y= (x+1) (X- .5) (x +3.5)

Step-by-step explanation:

Step-by-step explanation:

if I understand you correctly, then

cos(theta) = -0.7

then Theta = 134.427004...°

and that is rounded 134.43°

Answer:

4x3x2x1=25

Step-by-step explanation:

hope this helps :)

Answer: I’m pretty sure it’s SAA

Step-by-step explanation: if it were ASA the side would be in between the two congruent Angles but that’s not the case here. And it has enough information so it’s also not neither.

The statement that proves that the triangles are congruent is SAA

From the figure, we have the following highlights

This means that, the congruent statement is SAA i.e. Side-Angle-Angle

Hence, the statement that proves that the triangles are congruent is SAA

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Answer:

46?

Step-by-step explanation:

23*2=46

Answer:

37.31 cm

Step-by-step explanation:

∡ AB = 180 - 148 = 32° = ∡ DE

∡ CD = 360 - ∡ AE - ∡ AB - ∡ BC - ∡ DE = 360 - 148 - 32 - 87 - 32 =61°

∡ CE = 61 + 32 = 93°

arc length = 2[tex]\pi[/tex]r [tex]\frac{angle}{360}[/tex] = 2×3.14×23×[tex]\frac{93}{360}\\[/tex] = 37.31 cm

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

Answer:

123.907

Step-by-step explanation:

Answer:

Step-by-step explanation:

or

The total number of cars both the student and the teacher made is 49

let

total cars = x

cars made by student = s

cars made by teacher = t

Total = student + teacher

x = s + t

s = 2/7x

So,

x = 2/7x + t

x - 2/7x = t

t = (7x - 2x) / 7

t = 5/7x

Similarly,

s = t - 21

s = 5/7x - 21

equate both s equation

2/7x = 5/7x - 21

2/7x - 5/7x = -21

(2x - 5x) / 7 = -21

- 3/7x = -21

x = -21 ÷ -3/7

= -21 × - 7/3

= (-21 × -7) / 3

= 147/3

x = 49

Therefore, the total number of cars both the student and the teacher made is 49

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Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

Taking point Z as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ≅ ∠BDC

The angle that is congruent to ∠DBA is; option D. ∠BDC

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Answer:

atoc40 /atob40/ctob20

i hope i help

Answer:

67

Step-by-step explanation:

angle c = angle b = 5x + 4

angle a = 46

A + B + C = 180

46 + 10x + 8 = 180

10x = 180 - 54

10x = 126

x = 12.6

5x + 4 = 12.6 x 5 + 4

= 67

Answer:

x=15

Step-by-step explanation:

if you put 8x-10=110 you can solve for x and get 15. this only works because they are opposite & congruent sides

Answer:

Line GH or Line HG

Step-by-step explanation:

Hope it help !!

Answer:

Step-by-step explanation:

a point to a point which makes a straight line is called a line segment

Answer:

the 4th choice

Step-by-step explanation:

hope this helps

MAy I get braineist pls????????

Answer:

ab hehehe hende ko Alam hahahah

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex]

What is the area of square?

The area of a square is equal to

(side) × (side) square units.

Here given that,

Square [tex]ABCD[/tex] is drawn on the coordinate plane (not shown) with vertex [tex]A(-4,-2)[/tex] and the midpoint of side [tex]AB[/tex] at [tex]B(-1.-6).[/tex]

Given ertices are [tex]A(-4,-2)[/tex] and [tex]B(-1.-6).[/tex]

So,

[tex]AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5[/tex]

Hence, the area of the square [tex]AB[/tex]  is [tex]5[/tex].

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[tex]{ \huge \mathfrak \color {pink}{ \tt{answer}}}[/tex]

[tex] \large \color{cyan}{ \tt{x = 12}}[/tex]

Step-by-step explanation:

[tex] \color {cyan}{ \tt{9 + \frac{x}{6 = 11}}} [/tex]

[tex]{ \tt{54 + x = 66}}[/tex]

[tex]{ \tt{x = 66 - 54}}[/tex]

[tex] \huge \color{magenta}{ \tt{ = \: \: x = 12}}[/tex]

[tex] \large \color{brown}{ \tt{hope \: \: it \: \: helps}}[/tex]

Given that "Jane wrote all the natural numbers from 5 to k. Including 1 and k"

So Jane wrote k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Jane wrote k - 4 natural numbers for the given condition.

Natural numbers are defined as which range from 1 to infinity and are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Jane wrote all the natural numbers from 5 to k, including 5 and k.

So, she wrote the numbers as 5, 6, 7, 8, 9, ..., k.

To find out how many numbers Jane wrote, we have to subtract 4 from each of these numbers because 4 numbers (1, 2, 3, 4) come before 5.

1, 2, 3, 4, 5, ..., k-1

So, there are k-1 - 4 + 1 = k - 4 natural numbers between 5 and k, inclusive.

Therefore, she wrote k - 4 natural numbers.

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