If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.


0.74 units
1.17 units
1.64 units
2.14 units

Answer: x = 5

The step-by-step explanation is below.

Combine like terms

8x-6x = 2x

4+5=9

2x+9=19

Subtract 9

2x=10

Divide by 2

x = 5

Hope this helps!

Answer:

1) c) 150 cm²

2) a) 5 (√3 + 6) m²

Step-by-step explanation:

1) A fórmula para a área lateral do prisma triangular regular é

L.A = Perímetro × Altura

Perímetro = 3 × borda da base

L.A = 3 × 5 cm × 10 cm

L.A = 150cm²

Opção c. 150cm² é a opção correta²

2) Diz-se na pergunta que a área lateral de uma das faces = 10m²

A área lateral de todo o prisma = 3 × 10m²

= 30m²

Onde a borda da base = altura

A área da superfície lateral de uma das faces é: 10m² = Borda da base × Altura da base

Portanto, Altura = √10m

= Borda da base = √10m

A área de superfície total de um prisma triangular é:

2B + Ph

Ph = área de superfície lateral

B = Área de Base

2 (Área da Base) = 2( Borda da Base² × √3/4)

2 (Área da Base) = 2((√10)² × √3 / 4)

2 (Área de Base) = 2(10√3/4)

= 20√3/4

2 (Área da Base) = 5√3 m²

A área de superfície total de um prisma triangular é:

2B + Ph

= 5√3 m² + 30 m²

= 5 (√3 + 6) m²

Answer:

11

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

288/6 = 48

Hope this helps

Answer:

c.

Step-by-step explanation:

For ratio, u should divide

So, 288/6 = 48:1 or 48/1

6 times 48=288

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Answer: 8282828

Step-by-step explanation: I’m not sure

Answer:

77

Step-by-step explanation:

38.5 ÷ 0.5 = 77

77 x 0.5 = 38.5

(think of 5 x 7)

0.5 x 70 = 35 (3.5 left)

0.5 x 7 = 3.5 (0 left)

70 + 7 = 77

Answer:

158

Step-by-step explanation:

Answer:

x =  1 /2 yz + 3

Step-by-step explanation:

The solution of x is 6z.

To find the solution of x.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given that:

A value or values which, when substituted for a variable in an equation, make the equation true.

x-y/2z = 3

multiply 2z in both sides we get,

2z(x-y)/2z = 3 × 2z

simplify the equation,

x - y = 6z

Add y in both sides we get,

x-y+y = 6z + y

x = 6z

So, the solution of x is 6z.

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Answer:

100 grams

Step-by-step explanation:

Formala: multiply the mass value by 100

Answer:

1,000g

Step-by-step explanation:

1kg is equal to 1,000 grams, so just convert it.

1 times 1,000 = 1,000

Answer:

c. less than symbol < because -26 is less than 54 because its far to the left from 54

Answer:

He is incorrect in this statement because 38 and 40 both have factors, other than 1 x itself. Prime numbers are numbers the only have 1 factor pair, and that is 1 x itself. Factors are the numbers you multiply to get the end result, and an example is 10x4=40. The factors of 40 are 8x5, 4x10, 2x20, and of course, 1x40. The factors of 38 are 2x19, and 1x38.

Answer:

The definition of relatively prime is two numbers with a GCF of 1.The numbers 38 and 40 are not relatively prime.

Step-by-step explanation:

Answer:

I did this before ok  gh and jk  is 5

Step-by-step explanation:

Answer: 4 necklaces

Step-by-step explanation: 4/5 x 5 = 4

hope this helps

Answer:

Janet makes 2.4 necklaces in 1 hour

Step-by-step explanation:

first you need to find how many minutes it takes to make one necklace.

to do this, divide 20 by 4 and multiply by 5.

20/4 = 5

5 * 5 = 25

janet makes one necklace every 25 minutes.

one hour is 60 minutes.

60/25 = 2.4

Answer:

area of land purchased =247

The area of the land Rachel purchased is approximately 10,055.64 square feet.

We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.

To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.

Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".

We know that the area of a triangle is given by the formula:

Area = (1/2) x base x height

So, we can rearrange this formula to solve for the height:

height = 2 x Area / base

Now we can substitute in the values we know:

Area = 8,712 square feet

base = unknown

height = unknown

We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:

base = 2s

We can use the Pythagorean theorem to find the height in terms of s:

s² + (h)² = (2s)²

s² + h² = 4s²

h² = 3s²

h = s x √(3)

Now we can substitute this expression for the height in terms of s into the formula we derived for the area:

Area = (1/2) x base x height

Area = (1/2) x 2s x s x √(3)

Area = s² x √(3)

We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:

s² x √(3) = 8,712

s² = 8,712 / √(3)

s = √(8,712 / √(3))

Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:

base = 2s

base = 2 x √(8,712 / √(3))

Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:

Area = (1/2) x  base x height

Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))

Area = 2 x 8,712 / √(3)

Area = 17,424 / √(3)

Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.

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Answer:

y=4x-33

Step-by-step explanation:

the slope for parallel lines is the same so it would be 4

(y-y₁)=m(x-x₁)

(y-7) =4(x-10)

(y-7) =4x-40

  +7       +7

 y=4x-33

Answer:

x=15

Step-by-step explanation:

hope this helps

Answer the answer to your question is $7.50

Answer:

60,000,000

Step-by-step explanation:

5 and up - round up

4 and down - round down

You can see 7, so we round up.

57,824,279 is rounded to 60,000,000

Let me know if I'm wrong!

Answer:

57,824,279 to the nearest ten million is 60,000,000

Look at the 5 and the 7. Since 7 is greater than 5, round up to 6. We will have 60,000,000.

Step-by-step explanation:

Answer:

7x10^-11

Step-by-step explanation:

You probably don't need this answer anymore.

Answer:

2/15

Step-by-step explanation:

if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15

Answer:

It A: the length of the pipe

Step-by-step explanation:

math is hard, but sometimes it can be easy

Answer:

a little bit of bth

Step-by-step explanation:

Answer:

m= -2

Step-by-step explanation:

Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3

Parallel lines have the same slope, so the slope is -2.

The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

Given that, the equation of a line is 2x + y = 3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope of a line parallel to given line is m1=m2.

The given equation can be rewritten as y=3-2x

The standard form of an equation of a line is y=mx+c

Now, compare y=3-2x with y=mx+c, we get

Slope (m) = -2

So, slope of parallel to the line is m1=m2= -2

Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.

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Answer: A) a translation 3 units down

Step-by-step explanation: Notice how your y-values are decreasing by 3.

y-values only increase or decrease, so if they’re decreasing, they are going down.

Hope this helps!

Answer:

6

Step-by-step explanation:

So, eq. 8 in f(x)

f(8)=2(8-5)

    =2(3)

Multiplying,

     =6

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Answer:

if (x-5) is an exponent: the answer is 8

Step-by-step explanation:

Substitute:

f(8)=2(8-5)

f(8)=2(3)

f(8)=8