In each triangle below, name the type of line segment that CD is.

Answer:

[tex]\sf \dfrac{b^9}{125}[/tex]

Step-by-step explanation:

We need to find out the volume of cube with the given side length . The side of the cube is ,

[tex]\sf\longrightarrow Side =\dfrac{1}{5}b^3[/tex]

Now as we know that the volume of cube is ,

[tex]\sf\longrightarrow Volume = side^3[/tex]

Substitute the given value ,

[tex]\sf\longrightarrow Volume =\Bigg(\dfrac{1}{5}b^3\Bigg)^3\\\\\sf\longrightarrow \boxed{\red{\sf Volume = \dfrac{b^9}{125}}}[/tex]

Answer:

1.  ∠ADC≅∠BCD (Given)

2.  AC¯¯¯¯¯⊥CD¯¯¯¯¯;  BD¯¯¯¯¯⊥CD¯¯¯¯¯  (Given

)3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD¯¯¯¯¯≅CD¯¯¯¯¯ (Reflex. Prop. of ≅)

6.  △ACD≅△BCD (ASA Steps 1, 5, 4)

△ACD and △BCD are Congruent triangles because Two angles are the same, as is a corresponding side.

1.  ∠ADC≅∠BCD (Given)

2.  AC⊥CD;  BD⊥CD  (Given

3.  ∠ACD and ∠BDC are right angles(Def. of ⊥)

4.  ∠ACD≅∠BDC (Rt. ∠≅Thm.)

5. CD≅CD (Reflex. Prop. of ≅)

6.  △ACD≅△BCD

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Answer:

85% acid

Step-by-step explanation:

The amount of acid is 83.75 milliliters

The percentage of the resulting mixture of acid is 67%

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

A chemist mixes 100 milliliters of a solution that is 75% acid with 25 milliliters of a solution that is 35% acid.

This means,

75% of 100 milliliters = 75/100 x 100 = 75 milliliters

35% of 25 milliliters = 35/100 x 25 = 8.75 milliliters

Now,

The amount of acid is (75 + 8.75) = 83.75 milliliters

The percentage of the resulting mixture of acid.

= 83.75 / (100 + 25) x 100

= 83.75/125 x 100

= 67%

Thus,

The amount of acid is 83.75 milliliters

The percentage of the resulting mixture of acid is 67%

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Answer:

x²(x - y)

Step-by-step explanation:

x³ - x²y ( x² is common to both terms so factor it out )

= x²(x - y)

25 red, 15 blue

======================================================

Work Shown:

b = number of blue marbles = unknown

r = number of red = 25

T = number total = 25+b

r/T = probability of getting red = 5/8

r/T = 5/8

25/(25+b) = 5/8

25*8 = 5(25+b) .... cross multiplication

200 = 125+5b

200-125 = 5b

75 = 5b

5b = 75

b = 75/5

b = 15

We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.

The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.

Answer:

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x.

-2x + 3y - 4 = 0

-2x + 3(0) - 4 = 0

-2x + 0 - 4 = 0

-2x - 4 = 0

-2x = 4

 x =  4/-2

  x = -2                    The x-intercept is -2

To find the y-intercept, set x = 0 and solve for y.

-2x + 3y - 4 = 0

-2(0) + 3y - 4 = 0

0 + 3y - 4 = 0

     3y - 4 = 0

     3y = 4

       y = 4/3           The y-intercept is 4/3

Answer:

x = 59 , y = 44

Step-by-step explanation:

(2x + 18) and (x - 15) are adjacent angles on a straight line and sum to 180°

2x + 18 + x - 15 = 180 , collect like terms

3x + 3 = 180 ( subtract 3 from both sides )

3x = 177 ( divide both sides by 3 )

x = 59

Then

x - 15 = 59 - 15 = 44

y and (x - 15) are corresponding angles and are congruent , then

y = 44

Answer:

10

Step-by-step explanation:

We know that a = 4 and b = 6, and we are trying to find the answer to both of them added, so to get a + b, we can substitue the values of a and b by their numbers. So,

a + b

Is the same as

4 + 6, which equals 10.

Therefore, the value of a+b is 10

Hope this helps :)

Answer:

Step-by-step explanation:12-4=8

Answer:

15 and 20.

Step-by-step explanation:

The 2 numbers are both divisible by 5.

Listing numbers whose LCM is 60 and divisible by 5.

20 and 30 :- not this as the HCF is 10.

15 and 20 : - HCF = 5 and LCM = 60.

Aviv is thinking of the numbers 60 and 5.

Let's consider the factors of 5 and the prime factorization of 60 to find the two numbers Aviv is thinking of.

The prime factorization of 60 is \(2^2 \times 3 \times 5\).

Since the lowest common multiple of two numbers is the product of their highest powers of prime factors, and we know the lowest common multiple is 60, this suggests that one of the numbers includes \(2^2\), \(3\), and \(5\) as prime factors.

However, we also know that the highest common factor of the two numbers is 5. This means that the second number must include \(5\) as a prime factor.

Putting these pieces together, the two numbers that Aviv is thinking of are \(2^2 \times 3 \times 5 = 60\) and \(5\).

So, Aviv is thinking of the numbers 60 and 5.

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Answer:

1.61

Step-by-step explanation:

72/18 = 4cents per inch

4*41 = 161

1.61$

Answer:

No the triangle are not same because the outer length of triangle is not same

Step-by-step explanation:

all odd numbers

that should be the answer

Answer:

It's just a line with a slope of 0 at y= -5

Answer:

-20xi -4x

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Divide the total weight of dough by the amount required for 1 pizza

20 [tex]\frac{1}{4}[/tex] ÷ 1 [tex]\frac{1}{8}[/tex] ( change mixed numbers to improper fractions )

= [tex]\frac{81}{4}[/tex] ÷ [tex]\frac{9}{8}[/tex]

• leave first fraction , change ÷ to × , turn second fraction ' upside down '

= [tex]\frac{81}{4}[/tex] × [tex]\frac{8}{9}[/tex] ( cancel 81 and 9 by 9 )

= [tex]\frac{9}{4}[/tex] × 8 ( cancel 4 and 8 by 4 )

= 9 × 2

= 18 pizza's

Answer:

the answer is (6,9) so the answer for y is 9

Step-by-step explanation:

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]-\frac{5}{6} +\frac{6}{18}[/tex]

[tex]-\frac{5}{6} +\frac{2}{6}[/tex]        reduced

[tex]\frac{-5+2}{6}[/tex]            transformed the expression to make it easier

[tex]-\frac{3}{6}[/tex]               add

[tex]-\frac{1}{2}[/tex]               reduce

Answer:

alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer

Answer:

4

you just add the powers when it's multiplication and same digit and minus them when they are divided but they have to be the same digit

2 power 4+3 =7 / 2 power 5+4=9

2 power 9-7=2

2 power 2 =4

Answer:

scalene because all the angles are different in an isosceles triangle 2 angles are the same

Answer:

Scalene triangle

Step-by-step explanation:

the answer is the scalene triangle

Answer:

Yes it is irrational

Step-by-step explanation:

Hope this helps

The number 18/3 is 6 which is not an irrational number.

An irrational number, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.

here, we have,

18/3

= 6

So, its not an irrational number.

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Answer:

we need the linear graph ._.

Step-by-step explanation:

Answer: do you have a email so i can send it to you??

Step-by-step explanation:

Answer:

y = 13/3

Step-by-step explanation:

First input 10 as our x into the equation. So our new equation is 2(10) - 3y=7.

Once you simplify your equation would be 20 - 3y = 7. Subtract 20 from both sides. New equation is -3y = -13. Divide each side by -3. Your answer for y is 13/3.

Answer:

pa pic nyou nalang kung may pic plss

Answer:

x + 8

Step-by-step explanation:

1. To simplify this expression, we have to combine like terms.

Therefore, the answer is x + 8.

You are running a fuel economy study. One of the cars you find is blue. It can travel 30 and one half miles30 1 2 miles on 1 and one fourth gallons1 1 4 gallons of gasoline. Another car is red. It can travel 25 and three fifths miles25 3 5 miles on four fifths gallon 4 5 gallon of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon1 gallon of​ gasoline?

Blue car: 30.5 / 1.25 =24.4 miles per gallon

Red car: 25.6/0.80   =32 miles per gallon

You can easily see that the Red car travel farther on 1 gallon of gasoline.

Answer:

The unit rate for the blue car is 24 2/5 and The unit rate for the red car is 34

Answer:

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