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3 years ago

Solve for x, and JUSTIFY your answer.

Mathematics

1 answer:

salantis [7]3 years ago

4 0

Answer:

x = 40

Step-by-step explanation:

x = 40 by the "Same Side Corresponding Angles" Theorem

Hope this helps!

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Quickly compute the following differences of squares. (a). 64^2 − 14^2 (b). 112^2 − 88^2 (c). 785^2 − 215^2

VikaD [51]

Answer:

(a) 3900

(b) 4800

Step-by-step explanation:

We have given

(a) $64^2-14^2$

We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

So $64^2-14^2=(64+14)(64-14)=3900$

(b) We know the algebraic equation $a^2-b^2=(a+b)(a-b)$

$112^-88^2=(112+88)(112-88)=4800$

$785^2-215^2=(785+215)(785-215)=570000$

5 0

3 years ago

A number less than 15

artcher [175]

Answer:

14,13,12,11,10,9,8,7,6,5,4,3,2,1

Step-by-step explanation:

hope this helps

6 0

3 years ago

Read 2 more answers

Write an equation representing the pound of clay, c, that jamal from the example needs to make b bowls.

Inessa [10]

Answer:

8=2/3c

Step-by-step explanation:

Each bowl requires 2/3 pounds of clay

To make 8 bowls, Jamal needs 5 1/3 pounds of clay

4 0

2 years ago

Joaquin wrote this equation for the area of a parallelogram.

Sindrei [870]

divide 417.12 by 23.7, and get your answer: <u>17.6</u>

3 0

3 years ago

Interval is 0, 2pi) 4 sin^2x-4 sin x + 1 = 0

svetoff [14.1K]

Answer:

$\large\boxed{x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}$

Step-by-step explanation:

$4\sin^2x-4\sin x+1=0\\\\2^2\sin^2x-2(2\sin x)(1)+1^2=0\\\\(2\sin x)^2-2(2\sin x)(1)+1^2=0\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(2\sin x-1)^2=0\iff2\ain x-1=0\qquad\text{add 1 to both sides}\\\\2\sin x=1\qquad\text{divide both sides by 2}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}$

8 0

4 years ago