State reasons why these two triangles are congruent

Answer:

(3,4)

Step-by-step explanation:

If is reflected around the x-axis, then the x-coordinate stays the same. Since -4 is still 4 away from the x-axis, we can count 4 untis up to get (3,4).

Let S be Sonny age now and W be Wale age now

[tex]S=2W[/tex]

[tex]S-4=4(W-4)[/tex]

[tex]S-4=4W-16[/tex]

[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]

[tex]2W=4W-12[/tex]

[tex]2W-4W=-12[/tex]

[tex]-2W=-12[/tex]

When will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:

Therefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.

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Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

From the complete question, we have the following coordinates:

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

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Answer:

[tex]\\\\\hookrightarrow 2x^{2} +2x-4[/tex]

Step-by-step explanation:

[tex]\hookrightarrow (2x+4)(x-1) \\\\\hookrightarrow 2x(x-1)+4(x-1)\\\\\hookrightarrow 2x^{2} -2x+4x-4\\\\\hookrightarrow 2x^{2} +2x-4[/tex]

Answer:

[tex]\huge\boxed{\bf{(2x + 4)(x - 1) = 2x^2 + 8x - 4}} [/tex]

Step-by-step explanation:

[tex]\sf \to (2x + 4)(x - 1) [/tex]

[tex]\sf \to x(2x + 4) + 4(x - 1) [/tex]

[tex]\sf \to 2x^2 + 4x + 4x - 4 [/tex]

[tex]\sf \to 2x^2 + 8x - 4 [/tex]

[tex]\: [/tex]

[tex]\huge\colorbox{red}{BlackPain} [/tex]

Bodmas 6x+14= 9x -14×1x=14-10=4 x=10

The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

It is a special type of frequency table that shows relationships between two categories.

From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,

Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.

Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.

Option D is also incorrect because we do not know the number of students.

Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.

To get more about conditional relative frequency, refer to the link,

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Answer:

A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

15= 3*5, so not prime

Answer:

10 times

Step-by-step explanation:

20= tenths place

200=hundredths place

20 x 10= 200

Answer:

answer 100%100 is 146215771

Answer:

g(3) = 6

Step-by-step explanation:

The right side of the equation is the part with all the information for the doing of the math.

x^2 - 3 means square the number and then subtract 3.

On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.

What is g(x)? It is y.

What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!

The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.

If you see g(x)=x^2-3

then whatever is in the ( ) on the left, put that in the place of x on the right.

g() = ^2 - 3

g(12) = 12^2 - 3

g(-7) = (-7)^2 - 3

or like your question

g(3) = 3^2 - 3

do the calculation

g(3) = 9 - 3

g(3) = 6

done! Hope this helps!

Answer:

75% of people own a dog.

Step-by-step explanation:

We apply the percentage formula in this problem

Total People * X/100 = Groups of people

Fill in the values

24 * X/100 = 18

We now Simplify the equation.

After simplifying you should get X=75, meaning 75% of people own a dog.

Step-by-step explanation:

=3√5

thank me later....

Answer: 7

Step-by-step explanation:

The absolute value of -7 is 7 because to find the absolute value you take away the sign.

Answer:

arc ed is 38 degrees

Step-by-step explanation:

dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38

Answer:

142

Step-by-step explanation:

the whole circle is 360 degrees.

90+52=142

180-142=38

AB=38 is the same as DE.

90+52+38+38=218

360-218=142.

The computation shows that the values of Δy and dy will be 0.572 and 0.4 respectively.

The value of Δy will be computed thus:

Δy = y(x + Δx) - y(x)

= y(1.1) - y(1)

= 0.5(1.1)⁸ - 0.5(1)⁸

= 0.572

The value of dy will be:

= y'(x)dx

= (0.5)⁸ × x⁷(0.1)

= 0.4 (1)⁷

= 0.4

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Answer:

Rectangle 1   4, 4, 2 and 2

Rectangle 2  5, 5, 1 and 1

Rectangle 3  3.5, 3.5, 2.5 and 2.5

Step-by-step explanation:

The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.

Your information is incomplete as the statements aren't given. Therefore, an overview will be given.

From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:

= 4/12 = 1/3

The probability of picking a butterfly or flower design will be:

= 4/12 + 4/12

= 8/12

= 2/3

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Answer:

17-7=10

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

17-7=10

Answer:

1067

Step-by-step explanation:

[tex] \frac{36}{64} = \frac{600}{ m} [/tex]

m=total amount of marmots

cross multiplication-

36×M = 64×600

[tex] \frac{64 \times 600}{36} [/tex]

=1066.666667

=1067 marmots

The angles of the triangle can be found using angle on a straight line theorem, isosceles triangle theorem, sum of angles in a triangle, sum of angles in a quadrilateral, vertical angle theorem etc.

The sum of angles in a triangle is equals to 180 degrees. Therefore, let's find the angles in the triangle

2a = 180 - 58(base angles of isosceles triangle)

a = 122 / 2

a = 61°

b = 180 - (180 - 90 - 40) = 130° (angle on a striaght line)

c = 130° (Known angles)

d = 180 - 33 - 88 = 59°(sum of angles in a triangle)

e = 180 - 69 = 111° (external triangle theroem)

f = 86° (vertically opposite angles)

g = 83° (vertically opposite angles)

h = 180 - 36 = 144° (sum of angles on a straight line)

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8cm

First we need to look at the side opposite to the missing side

which it is 12cm

now we can see that on the missing side 4cm is right below it

so we do

12cm-4cm

this gives you

8cm

a) 12-4=8

b) 5+4+4+12+9=34

The perimeter is 34cm and the missing length is 8cm.

Or it could be 38 since this unknown length was determined.

Step-by-step explanation:

to gat everything you have to find the Area.

to get the area you have to multiple the number 2 tims

Answer:

100

1800

900

1600

Step-by-step explanation:

Easy way to solve :

remove the 0's eg

20*90 -> 2*9 = 18

then add the 0's back on

1800

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Hope it helps.

Do comment if you have any query.

Answer:

A and C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Completing square:

3 + x = x² + 3x

x² + 3x = x + 3

Step 1: Subtract 'x' from both sides

x² + 3x - x = 3

x² + 2x = 3

Step 2: Divide the coefficeint of x by 2 and square the result

2 ÷ 2 = 1

1² = 1

Step 3: Now add 1 to both the sides

x² + 2x + 1  = 3 + 1

x² + 2x + 1 = 4

The LHS of the equation is in the form a² + 2ab + b² = (a +b)²

(x + 1)² = 2²

Take square root,

x + 1 = ± 2

x + 1 = 2      ;x + 1 = -2

     x = 2 - 1 ;     x  = - 2-1

      x = 1     ;     x = -3

Solution: x = 1,-3

Answer: 8

Step-by-step explanation:

4x8 gives you 32

Then you subtract:
32-24 =8

The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab  is 15a²b²- 20a²b + 6ab² - 4ab + 7.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The sum of two polynomials is,

[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]

The one polynomial addend is,

[tex]-5a^2b^2 +12a^2b - 5[/tex]

Let suppose the other polynomial addend is f(a,b). Thus,

[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]

Isolate the second polynomial as,

[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]

Arrange the like terms as,

[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]

Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab  is 15a²b²- 20a²b + 6ab² - 4ab + 7.

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