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3 years ago

Find the value of x. Geomotary triangles

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

8 0

X/15=4/16 def of similar triangle by AAA
x = 60/16=5/2

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What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive

Sveta_85 [38]

Answer:

Addition Property of Equality.

Inverse property of multiplication.

Step-by-step explanation:

Given the equation:

$7y-15=-29$

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

$7y-15+15=-29+15\\\Rightarrow 7y=-14$

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

$a\times \frac{1}{a} = 1$

So, let us multiply the given equation with $\frac{1}7$

$7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2$

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.

7 0

3 years ago

Can you guys help me with this question?

Rasek [7]

Answer:

it represents 10 stars in the galaxies

Step-by-step explanation:

10 to the power of 12 would be 1,000,000,000,000, 10 to the power of 11 would be 100,000,000,000, and those two number divided equals simply 10.

8 0

2 years ago

A 20-ounce bag of potato chips costs $3.80. What is the unit rate of the chips?

melisa1 [442]

To find the unit rate you would need to find the cost per ounce of potato chips. To find this you would simply divide. $3.80/20 = .19

So the unit rate in your question is $0.19

Hope this helps! :)

3 0

3 years ago

Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15 administrati

frosja888 [35]

Answer:

h less-than 2

Step-by-step explanation:

Let

h ---> the number of hours

y ---> the total charge in dollars

we know that

The linear equation is slope intercept form is equal to

$y=mh+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value of the linear equation

we have

<em>Grayson</em>

The slope is equal to $m=\$35\ per\ hour$

The y-intercept is $b=\$35$

The total charge is equal to

$y=35h+35$ ----> equation A

<em>Ian</em>

The slope is equal to $m=\$45\ per\ hour$

The y-intercept is $b=\$15$

The total charge is equal to

$y=45h+15$ ----> equation B

For what number of hours does Grayson charge more than Ian?

The inequality that represent this situation is

$35h+35 > 45h+15$

solve for x

Group terms

$35-15 > 45h-35h$

$20 > 10h$

Divide by 10 both sides

$2 > h$

Rewrite the expression

$h< 2\ hours$ ----> h less than 2 hours

6 0

3 years ago

Read 2 more answers

What is the surface area of these two shapes

kirill115 [55]

Answer:

multiply

Step-by-step explanation:

5 0

3 years ago