Is this triangle congruent?

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:

4

Step-by-step explanation:

Answer:

A.621333

Step-by-step explanation:

◑◑◑◑◑◑◑◑

Answer:

631226

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:

half apart

Step-by-step explanation:

hope it help you

Answer:

The determined equation for number 321411 factorisation is 3 * 107137.

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:

D)

Step-by-step explanation:

Area = length x width

When you multiply fractions, multiply top number by top number and bottom number by bottom number:

9/10 x 2/3 = (9 x 2) / (10 x 3) = 18/30 this can be reduced by dividing both numbers by 6:

18/30 reduces to 3/5

Answer: 3/5 square feet

Answer:

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

Step-by-step explanation:

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:

- 3x^2 + 2x - 13

Step-by-step explanation:

f (x) + g (x) = ( - 4x^2+5x-9) + (x^2 - 3x - 4)

= ( - 4x^2 + x^2) + (5x-3x) + (-9-4)

= - 3x^2 + 2x - 13

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

Answer:B

Step-by-step explanation:

B

Answer:

Avery

Step-by-step explanation:

12/4=3 so Avery will be paid 3 times

360×3= $1080

12/6=2 Carmen will be paid twice

480×2=$960

Avery earns more

Answer:

a

Step-by-step explanation:

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:

21

Step-by-step explanation:

1 dozen=12

3 dozen= 36

15-36=21

Answer:

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

Answer: x^2+27x+180

Step-by-step explanation: can  i pls have brainliest i need it for my goal

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:

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

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]

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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.