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Lorico [155]
2 years ago
11

1. Alternate interior angles theorem; 2.

Mathematics
1 answer:
abruzzese [7]2 years ago
4 0

m∠KLF + m∠BKL = 180° (definition of supplementary angles)

Also:

m∠KLF + m∠BKL = m∠BKL + m∠AKL(substitution property)

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and scalene.

From the image:

m∠KLF + m∠BKL = 180° (definition of supplementary angles)

Also:

m∠KLF + m∠BKL = m∠BKL + m∠AKL(substitution property)

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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There are 630 dishes that need to be rinsed. manuel can rinse them in 105 minutes by himself. it will take his friend carlos 70
QveST [7]
630/105=6 minutes per dish

630/70=9 minutes per dish

15 minutes:2 dishes

630/15=42

It will take them 42 minutes to rinse 630 dishes together.

7 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
Give an example of how you would solve an equation by completing the square. Describe the steps.
klemol [59]

Answer:

Step-by-step explanation:

to solve an equation by completing the square in a quadratic formula

f(x)=ax²+bx+c

example :x²-6x-16=0

first rearrange if necessary, move the constant to one side .

x²-6x=16

second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9

x²-6x+9=16+9

x²-6x+9=25

third  factorize : find the common factor between 6 and 9 which is 3

x²-6x+9=25

(x-3)²=25

last solve for x: (x-3)²=25

x-3=√25

x=3±5

x=3+5=8 or 3-5=-2

4 0
3 years ago
A right triangle has a hypotenuse of 12 feet and a leg of length 6 feet.
Marat540 [252]

Answer:6

Step-by-step explanation:

6 0
3 years ago
Find the value of x help ASAP
Paha777 [63]

3x - 6 = 90

3x - 6 + 6 90 + 6

3x = 96

3x ÷ 3 = 96 ÷ 3

x = 32

7 0
3 years ago
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