All categories

3 years ago

Determine whether one figure is a dilation of the other.

1 answer:

5 0

The answer is no.

A dilation is when a shape is scaled up or down to create a similar shape. The only thing that changes is the lengths of the sides. The angles will stay the same.

In this case, the original has angles 54, 29, and 97.

After the transformation the triangle has the angles 29, 59, and 92.

You might be interested in

ASAP HELP PLEASE SHOW ALL WORK <br> *Find the value of x. Show all the work

valentina_108 [34]

The line of length 48 is passing through the midpoint of traingle so it's half of base

$\\ \sf\longmapsto \dfrac{3x}{2}=48$

$\\ \sf\longmapsto 3x=96$

$\\ \sf\longmapsto x=32$

5 0

3 years ago

Solve.

abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

_____________________________________

1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

__________________________

Terms and topics

Linear equations with one unknown

4 0

2 years ago

I need help with number 5

Zielflug [23.3K]

Answer:

100.34÷2.9=34.6

Step-by-step explanation:

You will need to move the decimal point to the right one place

5 0

4 years ago

3-2i/5+i<br><img src="https://tex.z-dn.net/?f=3%20-%202i%20%5Cdiv%205%20%20%2B%20i%20%20" id="TexFormula1" title="3 - 2i \div 5

hammer [34]

$3-2i/5+i$

$\frac{3*5+(-2)*1)+(-2*5-3*1)i}{5^2+1^2}$

$\frac{13-13i}{26}=\frac{1-i}{2}$

$=\frac{1}{2}-\frac{1}{2}i$

Hope this helps!

Thank you for posting your question at here on Brainly.

-Charlie

3 0

3 years ago

The ratio of the loudness of lala's earphones to the loudness of polina's earphones to the loudness of goffy's earphones is 6:5:

tresset_1 [31]

Let:
Lala be l
Polina be P
Goffy be G
the respective ratio is 6:5:3
Given that Polina's loudness is 420 decibels then the total loudness will be calculated as follows:
Total ratio=6+5+3=14
hence total loudness will be:
14/5×420
=1,176 decibels

3 0

3 years ago