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4 years ago

Determine whether ab is parallel to cd

Mathematics

2 answers:

shtirl [24]4 years ago

8 0

Answer:

Yes, it is.

Step-by-step explanation:

When alternate interior angles (∠ABC and ∠BCD) are congruent, it means the lines are parallel.

erastovalidia [21]4 years ago

3 0

Answer:

Yes, it technically should be equivalent.

Step-by-step explanation:

You could straight up measure it with a ruler and find that they are both the same legth. Or you can just go ahead and eyeball it.

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COMPUTE 3 ( 2 1/2 - 1 ) + 3/10

Juli2301 [7.4K]

Answer:

<h3> $\boxed{ \frac{24}{5} }$ </h3>

Step-by-step explanation:

$\mathsf{3(2 \frac{1}{2} - 1) + \frac{3}{10} }$

Convert mixed number to improper fraction

$\mathrm{3( \frac{5}{2} - 1) + \frac{3}{10} }$

Calculate the difference

⇒ $\mathrm{3( \frac{5 \times 1}{2 \times 1} - \frac{1 \times 2}{1 \times 2} }) + \frac{3}{10}$

⇒ $\mathrm{ 3 \times( \frac{5}{2} - \frac{2}{2}) } + \frac{3}{10}$

⇒ $\mathrm{3 \times ( \frac{5 - 2}{2} ) + \frac{3}{10} }$

⇒ $\mathrm{3 \times \frac{3}{2} + \frac{3}{10} }$

Calculate the product

⇒ $\mathrm{ \frac{3 \times 3}{1 \times 2} + \frac{3}{10} }$

⇒ $\mathrm{ \frac{9}{2} + \frac{3}{10}}$

Add the fractions

⇒ $\mathsf{ \frac{9 \times 5}{2 \times 5} + \frac{3 \times 1}{10 \times 1} }$

⇒ $\mathrm{ \frac{45}{10} + \frac{3}{10} }$

⇒ $\mathrm{ \frac{45 + 3}{10 } }$

⇒ $\mathrm{ \frac{48}{10} }$

Reduce the numerator and denominator by 2

⇒ $\mathrm{ \frac{24}{5} }$

Further more explanation:

Addition and Subtraction of like fractions

While performing the addition and subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.

For example :

Add : $\mathsf{ \frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} } = \frac{4}{5}$

Subtract : $\mathsf{ \frac{5}{7} - \frac{4}{7} = \frac{5 - 4}{7} = \frac{3}{7} }$

So, sum of like fractions : $\mathsf{ = \frac{sum \: of \: their \: number}{common \: denominator} }$

Difference of like fractions : $\mathsf{ \frac{difference \: of \: their \: numerator}{common \: denominator} }$

Addition and subtraction of unlike fractions

While performing the addition and subtraction of unlike fractions, you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator.

For example:

$\mathsf{add \: \frac{1}{2} \: and \: \frac{1}{3} }$

L.C.M of 2 and 3 = 6

So, ⇒ $\mathsf{ \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} }$

⇒ $\mathsf{ \frac{3}{6} + \frac{2}{6} }$

⇒ $\frac{5}{6}$

Multiplication of fractions

To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

When any number or fraction is divided by a fraction, we multiply the dividend by reciprocal of the divisor. Let's consider a multiplication of a whole number by a fraction:

$\mathsf{4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2} = 6}$

Multiplication for $\mathsf{ \frac{6}{5} \: and \: \frac{25}{3} }$ is done by the similar process

$\mathsf{ = \frac{6}{5} \times \frac{25}{3} = 2 \times 5 \times 10}$

Hope I helped!

Best regards!

5 0

3 years ago

Subtract 8 from 10, then add n to the result

ohaa [14]

Answer:

(10-8) + n

Step-by-step explanation:

Good luck with your work!

6 0

3 years ago

Read 2 more answers

The radius r of a sphere is 6 units. Find the volume of the sphere. Write your answer in terms of . The volume is cubic units.

kirza4 [7]

Answer:

The formula used to calculate the sphere radius is: r = ∛((3/4) · V / π) Symbols. r = Sphere radius; V = Sphere volume; π = Pi = 3.14159… Volume of Sphere. Enter the volume contained within a sphere. Radius of Sphere. This is the radius of a sphere that corresponds to the specified volume.

Step-by-step explanation:

8 0

3 years ago

B) Your local shoe store anticipated giving away 2,500 pairs of shoes in one month, but they only sold 2,215 pairs of shoes. Wha

vampirchik [111]

Answer:

Approximate percent error = 15%

Step-by-Step Explanation:

Let the percentage of error be "e"

Anticipated sales = 2,500

Actual sales = 2,125

The percentage error "e" can be calculated as per the equation below:

2500*(1-e) = 2125

(1-e) = 2125/2500

1-e = 0.85

e = 1-0.85

e = 0.15

e = 15%

Approximate percentage error = 15%

6 0

3 years ago

Please please help please please help me please please help please please help me with this question AND SHOW YOUR STEPS PLEASE

yarga [219]

9514 1404 393

Answer:

x/45 = 9 m/30
x = 13.5 . . . meters

Step-by-step explanation:

In similar triangles, corresponding sides are proportional. This lets us write an equation involving x. Sides adjacent are proportional to sides opposite the vertical angle.

x/45 = 9/30

Multiplying by 45 gives the solution:

x = 45(9/30) = 13.5 . . . meters

4 0

2 years ago