What method could be used to prove the triangle congruent?

Answer:

We have to find the value of x.

We need to substitute with 3 because they measure the same.

Step-by-step explanation:

(x - 1)

x - 1 = 3

x - 1 + 1 = 3 + 1

x = 4

(x + 1)

x + 1 = 5

x + 1 - 1 = 5 - 1

x = 4

Both answers are the same which means that they are correct.  

Answer:

16

Step-by-step explanation:

15 plus 1 equals 16 I hope this helps

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

Answer:

I hope this helps a little bit.

Answer:

circumference = 22.2144 or 5π√2

Step-by-step explanation:

the diameter of the circle would be equal to the diagonal of the square.

Using the Pythagorean theorem:

D² = 5² + 5²

D² = 50

D = 7.0711 or 5√2

circumference = πD = 5π√2 = 22.2144

Answer:

diagonal or diameter =√(5²+5²)=5√2unit

therefore radius =5/2√2unit

circumference of circle =2πr=2×π×5/2×√2=5π√2unit

Answer:

Popcorn costs 4. Drink costs 2.

Step-by-step explanation:

4x4=16

2x2=4

16+4=20

Answer:

24¾

Step-by-step explanation:

8/18=11/x

x=11×18/8

x=198/8

x=24¾

Answer:

[tex]a_{n}[/tex] = 4n + 3

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 4 , then

[tex]a_{n}[/tex] = 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3

Answer:

1) 18

2) 144

3) 51

4) 99.6

Step-by-step explanation:

1) Multiply 1.5 by 12, as 1.5 divided by 1 is 1

2) Multiply 12 by 12, as 12 divided by 1 is 1

3) Multiply 4.25 by 12, as 4.25 divided by 1 is 1

4) Multiply 8.3 by 12, as 8.3 divided by 1 is 1

Answer:

A'= (0,-4)

B'= (2,-1)

C'= (4,-3)

Step-by-step explanation:

After you flip it over the x-axis, it would be

A'= (0,-4)

B'= (2,-1)

C'= (4,-3)

Answer:

275.1 I'm so sorry if it is wrong dont come at me please

[tex]\huge\underline\mathbb\purple{ANSWER\::}\\\\[/tex]

2. (4,0)

3. (6,1)

4. (-1,-3)

5. (2,0)

6. (-3,0)

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HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Answer:

33

Step-by-step explanation:

In ΔPQR,

length of side=

77= 7×11

84= 12

Similarly, In ΔFGH

length=

36=3×12

so, the other side= 3×11= 33

Answer:

33

Step-by-step explanation:

[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values

[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply

84*?=36*77

84*?=2772, divide both sides by 84 to get ? by itself

?=33

Answer:

No

Step-by-step explanation:

I believe you have to approximate or round it off.

that will be 6.9.

Answer:

[tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Step-by-step explanation:

Standard form for a circle is:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]      (h, k) is the center    r is the radius

[tex](x - 1)^{2} + (y - 4)^{2} = 5^{2} \\x^{2} - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2} - 2x + y^{2} - 8y = 8[/tex][tex]x^{2} - 2x + y^{2} - 8y = 8[/tex]

Answer:

c. infinitely many solution

Answer: C

Step-by-step explanation:

5 + -2x = 4 + -2x + 4 + x

Reorder the terms:

5 + -2x = 4 + 4 + -2x + x

Combine like terms: 4 + 4 = 8

5 + -2x = 8 + -2x + x

Combine like terms: -2x + x = -1x

5 + -2x = 8 + -1x

Solving

5 + -2x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.

5 + -2x + x = 8 + -1x + x

Combine like terms: -2x + x = -1x

5 + -1x = 8 + -1x + x

Combine like terms: -1x + x = 0

5 + -1x = 8 + 0

5 + -1x = 8

Add '-5' to each side of the equation.

5 + -5 + -1x = 8 + -5

Combine like terms: 5 + -5 = 0

0 + -1x = 8 + -5

-1x = 8 + -5

Combine like terms: 8 + -5 = 3

-1x = 3

Divide each side by '-1'.

x = -3

Simplifying

x = -3

Answer:

77.44%

49.87%

Step-by-step explanation:

If 12% leaks everyday, on the first day 12% would leak, leaving 100 - 125 = 88% of air

on the second day, 12% of 88% would leak = 0.88 x 0.12 = 0.1056

Air left on the second day = 88% - 10.56% = 77.44%

After a week = (100 - 12%)^7 = 49.87%

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

Answer:

25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The formula for area for a circle is [tex]a = \pi[/tex] x r^2

Answer:

that is 5/4 to the lowest Terms

Answer:

1.25 or 1 1/4

Step-by-step explanation:

Used a calculator.

Answer:

Hot dogs: $2.75

Sodas: $1.5

Step-by-step explanation:

Hot dogs = x

Sodas = y

4x + 3y = 15.5

3x + 2y = 11.25

First find the value of the hot dogs by canceling out y:

2(4x + 3y) = 2(15.5)

3(3x + 2y) = 3(11.25)

= 8x + 6y = 31

9x + 6y = 33.75

x = $2.75 (Minus bottom equation from the top to isolate x)

Plug in for x to get y:

3(2.75) + 2y = 11.25

2y = 11.25 - 8.25 (Isolate the y)

2y = 3

y = 3/2, or $1.5

Answer:

[tex]5000kg \: is \: greater.[/tex]

[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]

[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]

[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]

Answer:

A. 6(1+2x)

Step-by-step explanation:

we take 6 as Common factor out of the equation

Answer:

She ate 18 cookies

Step-by-step explanation:

If you multiply your percent which is 45% by 40 you will get your answer

0.45x40=18

[tex]-\frac{1}{2} *(-\frac{5}{6} )+(-\frac{1}{2} )*\frac{1}{3} \\=\frac{5}{12} -\frac{1}{6} \\=\frac{5}{12} -\frac{2}{12} \\=\frac{3}{12} \\\frac{1}{4}[/tex]

Answer:

it's 5/12 + 1/3

Step-by-step explanation:

you would multiply the -5/6 by -1/2 to get 5/12 since the negative would cancel out

so 5/12 + 1/3 would be the answer.

Also this question doesn't make any sense since you are supposed to simplify the parentheses first.