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2 years ago

8x+4 (4x+3) = 4 (6x+4)-4 help

Mathematics

1 answer:

Tasya [4]2 years ago

4 0

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x+4(4x+3)=4(6x+4)−4

8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)

8x+16x+12=24x+16+−4

(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)

24x+12=24x+12

Step 2: Subtract 24x from both sides.

24x+12−24x=24x+12−24x

12=12

Step 3: Subtract 12 from both sides.

12−12=12−12

0=0

Answer:

All real numbers are solutions.

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■.Given angle TUV and ray UW, if m/TUV = 89,

aniked [119]

The measure of m<WUV is 53 degrees

<h3>Lines and angles</h3>

Given the following parameters

m<TUW = 22 +7x,

m<WUV = 41+ 6x

m<TUV. = 89

The related expression is given as:

m<TUV + m<WUV = m<TUV.

Substitute

22+7x+41+6x = 89

63 + 13x = 89

13x = 89 - 63

13x = 26

x = 2

Determine the measure of m<WUV

m<WUV = 41 + 6(2)

m<WUV = 41 + 12

m<WUV =53 degrees

Hence the measure of m<WUV is 53 degrees

Learn more on line and angles here: brainly.com/question/25770607

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6 0

1 year ago

What’s the answer to this?

inna [77]

Since the triangle is equilateral, all its angles are equal to 60°

AO is the bisector⇒∠OAD = 30°

AO is the hypotenuse, ∠OAD = 30°⇒

OD=5*2=10m

By the Pythagorean theorem

$10^2=AD^2+5^2\\AD=\sqrt{100-25} \\AD=\sqrt{75}$

$AC=AD+DC=2\sqrt{75}=10\sqrt{3}$

$S=\frac{a^2\sqrt{3} }{4}$

$S=\frac{(10\sqrt{3})^2\sqrt{3} }{4} =\frac{300\sqrt{3} }{4} =75\sqrt{3} m^2$

Answer: A) $S=75\sqrt{3}$ m²

P.S. Hello from Russia and sorry for my bad english :^)

3 0

2 years ago

How to simplify the complex number (9 - 2i) - (-2 + 6i) ?

matrenka [14]

$(9 - 2i) - (-2 + 6i) \\ \\ 9 - 2i + 2 - 6i \\ \\ (9+2) + (-2i - 6i) \\ \\ 11 - 8i \\ \\ Answer: \fbox {11 - 8i}$

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2 years ago

Find the greatest common factor of 10, 30,10,30,10, comma, 30, comma and 454545.

borishaifa [10]

Answer:

GCF = 5

Step-by-step explanation:

Given:

The numbers are given as:

10, 30 and 45

A factor of a number is a number by which the given number is evenly divisible.

Example: 2 is a factor of 4 as $4\div 2 =2$ . So, 4 is evenly divisible by 2 and hence 2 is a factor of 4.

Now, factors of 10 = 1, 2, <u>5</u>, 10.

Factors of 30 = 1, 2, 3, <u>5</u>, 6, 10, 15, 30.

Factors of 45 = 1, 3, <u>5</u>, 9, 15, 45.

So, the greatest common factor in all the three numbers is 5.

Hence, the greatest common factor of 10, 30 and 45 is 5.

5 0

3 years ago

Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot that

coldgirl [10]

Answer:

431.775 ft

Step-by-step explanation:

So basically we should first find the area of the rectangles which is 28 ft * 15 ft, which you get 420. Next for the semicircle, the diameter is 15 but we need the radius so you divide that by 2 to get 7.5 as the radius. Then u multiply 7.5 * π, or 3.14 to get 23.55. But since its a semicircle, or half a circle we divide 23.55 by 2 which is 11.775. Then we just add the results which is 420 ft and 11.755 ft to get a total area of 431.775 ft.

-Hope this helped!

4 0

3 years ago