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4 years ago

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Mathematics

1 answer:

valentina_108 [34]4 years ago

7 0

Answer:

Step-by-step explanation:

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How do I find the measure of the interior angle?

nataly862011 [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The sum of the interior angles in any polygon is given by the formula

$S=(n-2)180^o$

where

n is the number of sides of the polygon

step 1

Find the sum of the interior angles in the given polygon

we have

$n=5\ sides$

substitute

$S=(5-2)180^o=540^o$

step 2

Find the value of x

we know that

$-3x+125+(45-x)+(-x+90)+80=540$

solve for x

$-5x+340=540$

$-5x=200\\x=-40$

step 3

Find the measure of each interior angle

substitute the value of x

Angle A

$-3(-40)=120^o$

Angle B

$80^o$

Angle C

$-(-40)+90=130^o$

Angle D

$45-(-40)=85^o$

Angle E

$125^o$

3 0

3 years ago

Meghan counted the candies she had in a jar. She discovered that half of the candies were red. If she had 50 red candies, in whi

alisha [4.7K]

50x2=x

50 represents the red candies.

2 represents the other half of candies.

x represents the total amount of candies.

Hope this helps!

3 0

3 years ago

2/3 of 24 bananas is

Ghella [55]

Remember of means multiply so the answer would be 2/3*24= 16

8 0

3 years ago

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = 7x u2 − 1 u2 + 1 du 6x Hint: 7x

VikaD [51]

It looks like you're given

$g(x)=\displaystyle\int_{6x}^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du$

Then by the additivity of definite integrals this is the same as

$g(x)=\displaystyle\int_0^{7x}\frac{u^2-1}{u^2+1}\,\mathrm du-\int_0^{6x}\frac{u^2-1}{u^2+1}\,\mathrm du$

(presumably this is what the hint suggests to use)

Then by the fundamental theorem of calculus, we have

$\dfrac{\mathrm dg}{\mathrm dx}=7\dfrac{(7x)^2-1}{(7x)^2+1}-6\dfrac{(6x)^2-1}{(6x)^2+1}=\dfrac{1764x^4+169x^2-1}{1764x^4+85x^2+1}$

8 0

4 years ago

Half of an orange juice mixture is orange concentrate. Explain why the ratio of orange concentrate to

Sergeu [11.5K]

The ratio of orange concentrate to water is 1 : 1

• Ratio in maths is defines as an ordered pair of numbers p and q, written p/q where value of q is not equal to 0. A proportion in maths is an equation In which two ratios are made equal to each other.

• For example, if there are 3 oranges and 5 lemons in a bowl of fruit, then the ratio of oranges to lemons is 3 :5

According to the question

Let the orange juice mixture be x ml

We are given that half of it is orange concentrate = 0.5x

And the other half is water = x – 0.5x =0.5x

We need to find ratio of orange concentrate to water

Orange concentrate = 0.5x

Water = 0.5x

Ratio = 0.5x/0.5x

= 1/1

= 1 : 1

Hence Proved, the ratio of orange concentrate to water is 1 : 1

Learn more about ratio here

brainly.com/question/2784798

#SPJ9

6 0

2 years ago