Dilations of a triangle are congruent to the original triangle. true or false

A midpoint is a point that bisects a line into two equal parts.

Given that  C is the midpoint of AE, hence;

AC + CE = AE ........ 1

Similarly, if C is the midpoint of BD, then;

BC + CD = BD................... 2

If AE = BD, then we will equate 1 and 2 to have:

AC + CE = BC + CD

Also since CE = BC, the equation becomes

AC + CE = CE + CD

AC = CD (Proved)

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Answer:

1 and 2 are parallel. 1 and 3 are perpendicular. 2 and 3 are perpendicular.

Answer: I'm gonna try my best. 1). neither 2). Parallel 3).perpendicular

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

Answer:

ok ok it is y+6=-1(x-2)

Step-by-step explanation:

brainliest?

Answer:

Firstly, you can use the slope and the first point to find a second point:

2 + 1 = x2 and 6 + 5 = y2 because the slope is 5/1.

Next you can write the equation in point-slope form (remember point-slope form is y - y1 = m(x - x1):

y - 11 = 5(x - 3)

Another equation would be B because B is the correct equation if you choose 2 as x2 and 6 as y2.

Hope this helps!

Answer:

x = 1 and it's undefined yaaaaaaaaaaa

Answer: -21s-86

Step-by-step explanation:

Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86

Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

From the question,

We are to distribute -(14s+9)-7(s+11)

To do this,

We will clear the bracket by distributing the terms outside

That is,

-(14s+9)-7(s+11) becomes

-14s -9 -7s -77

Now, if desired, we can simplify further by collecting like terms

-14s -9 -7s -77

-14s -7s -9 -77

Then, we get

-21s -86

The simplified expression is -21s -86

Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

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Answer:

half apart

Step-by-step explanation:

hope it help you

Answer:

Vertex form: f(x) = – (x – 3)² – 1  

vertex: (3, -1)

Step-by-step explanation:

Given the quadratic function, f(x) = -x²+ 6x -10:

where a = -1, b = 6, and c = -10

The vertex of a parabola is the point at which the parabola intersects the axis of symmetry. The axis of symmtery occurs at x = h. Therefore, the x-coordinate of the vertex is the same as h.

To find the vertex, (h, k), you need to solve for h by using the formula:  [tex]h = \frac{-b}{2a}[/tex]

Plug in the values into the formula:

[tex]h = \frac{-b}{2a}[/tex]

[tex]h = \frac{-6}{2(-1)} = 3[/tex]

Therefore, h = 3.

Next, to find the k, plug in the value of h into the original equation:

f(x) = -x²+ 6x -10

f(x) = -(3)²+ 6(3) -10

f(x) = -1

Therefore, the value of h = -1.

The vertex = (3, -1).

Now that you have the value for the vertex, you can plug these values into the vertex form:

f(x) = a(x - h)² + k

a =  determines whether the graph opens up or down, and makes the parent function wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Plug in the vertex, (3, -1) into the vertex form:

f(x) = – (x – 3)² – 1  

This parabola is downward-facing, with its vertex, (3, -1) as its maximum point on the graph.

Answer:

600 cubic feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = dresser height

x = mirror height

x+y=6.28

x-y = 1.28

x = 1.28+y

x+y=6.28

(1.28+y)+y=6.28

2y = 5

y = 2.5

Dresser = 2.5 ft

Dresser + Mirror = 2.5 + 1.28 = 6.28 ft

Mirror = 1.28 ft

Answer:

a,khoảng cách từ thị trấn P đến thị trấn Q là

Step-by-step explanat  io  n:

36*5=180(km)

b,Muthu đi xe đạp từ thị trấn P đến thị trấn Q hết số phút là:

180/40=4,5(h)=270(phút)

Step-by-step explanation:

a)

a whole circle represents always 360 degrees.

we see the angle J is 72 degrees. the angle K is 90 degrees.

that leaves us for M and L together :

360 - 72 - 90 = 198 degrees.

we now know that twice as many people voted for L as for M. that means the angle L is twice as big as the angle M

on other words : L = 2M

and when we now say

198 = L + M

this means

198 = 2M + M = 3M

M = 66 degrees

and L is then 2M = 2×66 = 132 degrees

b)

again, the whole circle is 360 degrees.

J covers 72 of these 360 degrees.

that is 72/360 of all voting people.

72/360 = 1/5

the total of all voting people was 15840.

so, 1/5 of 15840 is

15840/5 = 3168

that means 3168 people voted for J.

Answer:

[tex]v = \frac{1}{2} a {t}^{2} \\ a = \frac{2v}{ {t}^{2} } [/tex]

'a' can be expressed in terms of 'v' and 't' as -

[tex]$a=\frac{2v}{t^{2} }[/tex]

We have the following expression -

[tex]$v = \frac{1}{2} at^{2}[/tex]

We have to express → a in terms of v and t.

On solving, we get -

Sin([tex]2n\pi x[/tex]) = 0.785

Sin([tex]2n\pi x[/tex]) = Sin ([tex]\frac{\pi }{4}[/tex])

2n[tex]\pi[/tex]x =  [tex]\frac{\pi }{4}[/tex]

x =  [tex]$\frac{1}{8n}[/tex]

According to the question, we have -

[tex]$v = \frac{1}{2} at^{2}[/tex]

[tex]$a=\frac{2v}{t^{2} }[/tex]

Hence, 'a' can be expressed in terms of 'v' and 't' as -

[tex]$a=\frac{2v}{t^{2} }[/tex]

To solve more questions on Rearranging expressions, visit the link below-

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Answer:

a

Step-by-step explanation:

Answer:

O {(1, 3), (2, 10), (6, 24), (24, 6

Answer:

The graph of the lines is given in the picture below:

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider,

[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]

On taking LCM, we get

[tex]\rm \:  =  \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]

and

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]

So, using these Identities, we get

[tex]\rm \:  =  \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{2(7 - 3)}{7 + 3} [/tex]

[tex]\rm \:  =  \: \dfrac{2 \times 4}{10} [/tex]

[tex]\rm \:  =  \: \dfrac{4}{5} [/tex]

Hence,

[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]

Answer:B

Step-by-step explanation:

B

Answer:

you can create  2 groups of 8 and you will have a group of 4 left

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

Answer:

1. 14

2. 5

3. 18

4. 16

5. 37

6. 26

7. 23

8. -10

9. 4

10. -54

Some questions are wrong so i answered what i understood. And giving me brainest will be helpful.

Answer:

A {5, 10, 15, 20}

Step-by-step explanation:

Answer:

m<FGN=(7x+18)º=88º

Step-by-step explanation:

(7x+18)º=(6x-10)º+38º

x=10

so

m<FGN=(7x+18)º=88º

hope this is the answer you're looking for.

Answer:

5/6

Step-by-step explanation:

brainly pls

Answer:

5/6

Step-by-step explanation:

make me brainliest please