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3 years ago

PLZ HELP ASAP I’ll NAME YOU BRAINLIEST + 20 POINTS

Mathematics

1 answer:

vredina [299]3 years ago

6 0

Answer:

105 degrees

Step-by-step explanation:

The measure of the exterior angle of a triangle is equal to the sum of the measures of the other angles of the triangle.

Given that, we know the missing angle is 25 + 80 = 105.

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Question 18 (1 point)

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Answer:

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3 years ago

Roberto decorates retangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 long and 1/3 foot wide. It

PilotLPTM [1.2K]

Answer:

It'll take him 1/4 hours to decorate the two signs.

Step-by-step explanation:

In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.

First sign:

area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²

Second sign:

area2 = (1/2)*(1/3) = 1/6 foot²

The total area he has to paint is the sum of their individual areas, so we have:

total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²

To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:

3/4 hour -> 1 foot²

x hour -> 1/3 foot²

x = (3/4)*(1/3) = 1/4 hours

3 0

3 years ago

Number 23 please answer

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3 years ago

Two lemon creams plus four fudge cookies have 450 calories. Four lemon creams plus two fudge cookies have 420 calories. How man

Gnoma [55]

Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let $\ell$ represent the calories in lemon creams and $f$ represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

$2\ell+4f=450$

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

$4\ell+2f=420$

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the $\ell$ will cancel when we add the two equations together.

So, the first equation becomes:

$-4\ell-8f=-900$

Add this to the second equation. Hence:

$(-4\ell+4\ell)+(-8f+2f)=(-900+420)$

Simplify:

$-6f=-480$

Divide both sides by -6. Hence:

$f=80$

So, there are 80 calories in one cookie.

We can use the first equation again to find the amount of calories in one cream. We have:

$2\ell+4f=450$

Substituting 80 for $f$ yields:

$2\ell+320=450$

Then it follows that:

$\ell=65$

So, there are 65 calories in each lemon cream.

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