Find two consecutive integers whose sum is eleven less than three times the smaller integer.

Given:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

The vertices of A'B'C'D' are A'(-2,6), B'(-5,3), C'(-8,3) and D'(-8,6).

To find:

The sequence of transformation is needed to carry ABCD onto its image A’B’C’D.

Solution:

The vertices of ABCD are A(2,3), B(5,6), C(8,6) and D(8,3).

If figure ABCD translated by the rule, [tex](x,y)\to (x,y-9)[/tex], then

[tex]A(2,3)\to A_1(2,-6)[/tex]

[tex]B(5,6)\to B_1(5,-3)[/tex]

[tex]C(8,6)\to C_1(8,-3)[/tex]

[tex]D(8,3)\to D_1(8,-6)[/tex]

Then the figure rotated 180 degrees clockwise about the origin. So,

[tex](x,y)\to (-x,-y)[/tex]

[tex]A_1(2,-6)\to A'(-2,6)[/tex]

[tex]B_1(5,-3)\to B'(-5,3)[/tex]

[tex]C_1(8,-3)\to C'(-8,3)[/tex]

[tex]D_1(8,-6)\to D'(-8,6)[/tex]

So, the required sequence of transformation that is needed to carry ABCD onto its image A’B’C’D is " A translation by the rule [tex](x,y)\to (x,y-9)[/tex] and then a 180° clockwise rotation about the origin".

Therefore, the correct option is D.

Answer:

C

Step-by-step explanation:

The true answer is -61

Tip: If you want the correct answer you can not have a typo. Just a heads up.

Answer:

14 and 35 I believe.

Since the GCF of 14 and 35 is 7, the LCM is 70 (14×5 and 35×2), they both have 2 digits, and one is even (14) and the other is odd (35).

I hope this helped!

The mystery pair would be required for numbers 14 and 35.

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

We need to write 70 as the product of its prime factors, which is 70.

⇒ 2 × 5 × 7

14 × 5 and 35 × 2

Given that the GCF of the mystery pair is 7

And the LCM of the mystery pair is 70.

Here the GCF of 14 and 35 would be 7

As per the given condition,

The required numbers in the pair have two digits,

Therefore, the even number is 14, and the odd is 35.

Hence, the mystery pair would be required for numbers 14 and 35.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

#SPJ2

Answer:

ΔABD ≅ ΔCDB

Step-by-step explanation:

Since a = 3, we can sub 3 into the expressions and then get a value for each side length.

AB: 3 + 7 = 10

BC = 16

CD: 12 - 2 = 10

DA: 18 - 2 = 16

Hence:

AB = CD (both have sidelengths of 10)

AD = CB (both have sidelengths of 16)

BD = BD (common line)

Therefore: ΔABD ≅ ΔCDB      Q.E.D.

Given:

The inequality is

[tex]x-(5-3x)\leq 2x-1[/tex]

To find:

The solution of the given inequality.

Solution:

We have,

[tex]x-(5-3x)\leq 2x-1[/tex]

[tex]x-5+3x\leq 2x-1[/tex]

[tex]4x-5\leq 2x-1[/tex]

Subtract 2x from both sides.

[tex]4x-5-2x\leq 2x-1-2x[/tex]

[tex]2x-5\leq -1[/tex]

Add 5 on both sides.

[tex]2x-5+5\leq -1+5[/tex]

[tex]2x\leq 4[/tex]

Divide both sides by 2.

[tex]x\leq 2[/tex]

It means, the numbers less than 2 or 2 are included in the solution set.

Number on the left side of 2 are less than 2. So, number line with a filled circle at 2 and shading to the left.

Therefore, the correct option is D.

Answer:      

B

Step-by-step explanation:

.' )

Answer:

The answer is B.

Step-by-step explanation:

I just took the test.

Answer:

(15x- 8y)

Step-by-step explanation:

"y2"   was replaced by   "y^2"

((0-(x2))+9xy)+(((x2)+6xy)-23y2)

15xy - 8y2

= y • (15x - 8y)

Answer:

72 degrees

Step-by-step explanation:

180-108=72

where I got 180: a supplementary angle is 180 degrees

Answer:

Option 3

[tex]y=-\frac{1}{4} x-1[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

where m = slope, and b = y intercept

The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)

The slope is -1/4

That is because it goes up one, and right -4. That means it goes up 1 and left 4.

Answer:

107.8

Step-by-step explanation:

convert 10% into decimal

1.1

then calculate

98 × 1.1

107.8

Hope this helps!

Have a nice day!

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Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

$107.80

Step-by-step explanation:

10% of $98 is $9.80.

9.80 + 98 = 107.80

7, because 8/4 = 2 which means that 1 guest = $2. So if we do 14 / 2 to see how many guests that would be, it's 7.

Answer:

7

Step-by-step explanation:

Well if it's $8 for 4 people then you have to divide to get the rate:

$8/4 = [tex]\frac{2}{person}[/tex]

now you can divide the disired amount to get the number of people:

$14/ [tex]\frac{2}{person}[/tex] = 7 people

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

12+15x= -18-12

15x= -30

x= -30÷15

x= -15

 Option (3) will be the correct construction of the angle bisector.

   Steps to construct an angle bisector are as followed,

Step - 1

Put the compass at the vertex of the angle.

Step - 2

Draw an arc cutting both the arcs at two distinct points.

Step - 3

Draw two arcs from these points intersecting at a point.

Step - 4

Join the vertex and the point of intersection formed in step - 3 which will be the angle bisector.

     Therefore, Option (3) will be the correct option.

Learn more,

https://brainly.com/question/8607612

7.  yes

8. yes

9. no

10. no

Answer:

What are we meant to do its sideways

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because 10 and 11 are not equal, therefore, when you add 10 then subtract 11, you will not end up with your original number

Answer:

Deposit $10, then withdraw $11.

Step-by-step explanation:

If you have $10 and you take away $11. You balance a of -1. Which is not zero.

Answer:

8x+6

Step-by-step explanation:

Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.

Answer:

I think it's 3 units to the left and 6 units down

Step-by-step explanation:

Hope I helped!

Answer:

I think its 11x/10

Step-by-step explanation:

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]

Answer:

81 and 72

Step-by-step explanation:

Answer:

81 and 72

Step-by-step explanation:

Answer:

7/6 miles

Step-by-step explanation:

As, Distance for 1 hour = x

For 2 hours = 2 1/3

For 2 hours = 2(x)

So, 2(x)= 2 1/3

2(x)= 7/3

So, x = 7/3 ÷ 2

So x= 7/3 x 1/2

Therefore, x = 7/6

Final answer= 7/6 miles per hour

See attachment for math work and answer.

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

Answer:

x=-6

Step-by-step explanation:

Add 3 on both sides and subtract 6 on both sides.

This gives you -2x=12

Divide -2 on both sides

this gives you -6.

x=-6

[tex] \huge{\red{\boxed{\sf{x = - 6}}}}[/tex]

Step By Step Explanation:

Step 1:

→[tex]4x - 3 = 6x + 9[/tex]

Step 2:

→[tex]4x - 6x = 9 + 3[/tex]

Step 3:

→[tex] - 2x = 12[/tex]

Step 4:

→[tex]x = \frac{12}{ - 2} [/tex]

Step 5:

→[tex]\green{x = - 6}[/tex]

verification:

Step 1:

⇝[tex]4( - 6) - 3 = 6( - 6) + 9[/tex]

Step 2:

⇝[tex] - 24 - 3 = - 36 + 9[/tex]

Step 3:

⇝[tex] - 27 = −27[/tex]

[tex]\huge{ \boxed{\sf{‡hence\: vertified‡}}}[/tex]

Answer:

1/10

Step-by-step explanation:

Answer:

-4.23230, -4.232300, -4.2323000

Answer:

1) -4.23230 2)-4.232300 3)-4.2323000

Step-by-step explanation:

Where is my brainliest and my points :)

Answer:

1.7r

Step-by-step explanation: