If a dilation with a scale factor of 5 is performed to ADEF, what will be the
coordinates of the new triangle?
D(-5,-2)
E(-5,3)
F(2,3)
o D'(-25,-10) E'(-25,15) F(10,15)
o D'(-20,-10) E'(-20,15) F'(5,15)
o D'(-1,5) E'(-1,3) F'(5,3)

Given:

In the circle, [tex]m(\overarc{VUX})=152^\circ[/tex] and [tex]m(\angle MUV)=77^\circ[/tex].

To find:

The following measures:

(a) [tex]m\angle VUX[/tex]

(b) [tex]m\angle UXW[/tex]

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

[tex]m(VUX)=2\times m\angle VWX[/tex]

[tex]152^\circ=2\times m\angle VWX[/tex]

[tex]\dfrac{152^\circ}{2}=m\angle VWX[/tex]

[tex]76^\circ=m\angle VWX[/tex]

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

[tex]m\angle VUX+m\angle VWX=180^\circ[/tex]          [Opposite angles of a cyclic quadrilateral]

[tex]m\angle VUX+76^\circ=180^\circ[/tex]

[tex]m\angle VUX=180^\circ-76^\circ[/tex]

[tex]m\angle VUX=104^\circ[/tex]

Now,

[tex]m\angle UXW+m\angle UVW=180^\circ[/tex]          [Opposite angles of a cyclic quadrilateral]

[tex]m\angle UXW+77^\circ =180^\circ[/tex]

[tex]m\angle UXW=180^\circ-77^\circ[/tex]

[tex]m\angle UXW=103^\circ[/tex]

Therefore, [tex]m\angle VUX=104^\circ[/tex]  and [tex]m\angle UXW=103^\circ[/tex] .

Answer:

m = −2

Step-by-step explanation:

Give me brainllest or お前はもう死んでいる

Answer:

m=-2

Step-by-step explanation:

Answer:

5, x = 0,  y = -2

6, x = 4,  Y = 9

7,  X = -2, Y = -2

Step-by-step explanation:

Given:

The sequence is:

-15,-10,-4, 3, 11, ______

To find:

The next number.

Solution:

We have,

-15,-10,-4, 3, 11, ______

Here, the difference between two consecutive terms are:

[tex]-10-(-15)=-10+15[/tex]

[tex]-10-(-15)=5[/tex]

Similarly,

[tex]-4-(-10)=6[/tex]

[tex]3-(-4)=7[/tex]

[tex]11-3=8[/tex]

It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.

Let the next number be x. Then,

[tex]x-11=9[/tex]

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the next number of the sequence is 20.

Answer:

1= 1/6, 2= 1/6, 3= 4/6

Step-by-step explanation:

'1' and '2' are equal and only take up 1/6 of the "circle" each, leaving '3' with 4/6 of it.

Therefore, '1' and '2' would be placed 1/6 along the line, and '3' would be placed 4/6 along the line.

Answer: x=-2

Step-by-step explanation:

Given

f(x)=2(3x+7)-4(x-2)

f(x)=18

Use substitution method

2(3x+7)-4(x-2)=18

Expand parenthesis

6x+14-4x+8=18

Combine like terms

2x+22=18

Subtract 22 on both sides

2x+22-22=18-22

2x=-4

Divide 2 on both sides

2x/2=-4/2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

h its h :)

Step-by-step explanation:

i

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

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Answer:

1.4 centimeters each month

Step-by-step explanation:

we know that there are 12 months in a year. if the plant grew 16.8 centimeters in one year, you would have to divide 16.8 by 12 so your equation would be:

16.8/12 = 1.4

Answer:

area = length x width 4x4 = 16

side lengths are 4

Step-by-step explanation:

Answer:

23s-7

Step-by-step explanation:

17s-10+3(2s+1)

17s-10+6s+3

23s-7

Step-by-step explanation:

-5y=35

=35÷(-5)

= -7

=-5×-7

=35

Answer:

5

Step-by-step explanation:

To find the slope, you need to solve for y

So subtract 15x from both sides

-3y=-15x+18

Divide by -3

y=5x-6

The slope is 5

Answer:

5

Step-by-step explanation:

Because I is smart

Lol, give other person brainliest, they deserve it

9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a high school will only offer a pottery class next year if at least 15 students sign up.

9 students have signed up for the pottery class.

Let x represent how many more students need to sign up.

9+x≥15

9+x≥15 is the inequality describes the problem.

Subtract 9 from both sides

x=15-9

x=6

So 6 more students should be added to the pottery class.

Hence, 9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

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Answer:

Factor numerator and denominator

Step-by-step explanation:

Answer:

Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.

Hope this helped!

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Answer:

21.8

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

interpret it that there are three payments of 50,000 aside from the current deposit of 110,000

amount after 3 years

= 110,000(1.05)^3 + 50,000( 1.05^3 - 1)/.05

Answer:

the percentage profit is 20%

Step-by-step explanation:

Given that

Sean paid  £10 for 24 chocolate bars

He sold all 24 chocolate bars for 50p each

we need to find out the percentage profit

Since he paid  £10 and sale value is (24 × 0.50) i.e. £12

So, the percentage profit is

= (£12 - £10) ÷ (£10)

= 20%

Hence, the percentage profit is 20%

Answer:150

Step-by-step explanation: If you see the highest point in the number line. You can see it’s in the middle of of 140 and 160 so it’s 150

Answer:

C

Step-by-step explanation:

Answer: 565.3 cubic cm

Step-by-step explanation:

V= 1/3Bh

V= 1/3π r^2h

= 1/3 π (6 cm) ^2 (15 cm)

= 1/3 π (36 cm squared) (15 cm)

= 180π cubic cm

about 565.2 cubic cm

π is about 3.14

The value of the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters is,

⇒ 565.2 cubic cm

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

In cone,

Radius = 6 cm

Height = 15 cm

Now, We know that;

Volume of cone is,

V = 1/3π r²h

Substitute all the values we get;

V = 1/3 π (6 cm)² (15 cm)

V = 1/3 π (36) (15)

V = 180π

V = 565.2 cubic cm

Thus, The value of the volume of a cone with a radius of 6 centimeters and a height of 15 centimeters is,

⇒ 565.2 cubic cm

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Answer:

20.6

Step-by-step explanation:

Answer:

x9

Step-by-step explanation:

i dunno if correct

Answer:

6

Step-by-step explanation:

Since you're given g(-3), set up the equation to look like this:

g(-3) = (x+7) + 2

Then plug in the g(x):

g(x) = (-3 + 7) + 2

Use PEMDAS to solve the equation:

g(x) = (-3 + 7) + 2

g(x) = (4) + 2

g(x) = 6

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation: