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3 years ago

Find the value of x.

Mathematics

2 answers:

Kisachek [45]3 years ago

7 0

Answer:

x = 25.6

Step-by-step explanation:

1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them

48 * 2 = 96

Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.

2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.

360 - 96 = 264

264/2 = 132

3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.

5x + 8 = 132

5x = 128

x = 25.6

The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.

Andrei [34K]3 years ago

5 0

Answer:

x=8

Step-by-step explanation:

5x+8

5x8=40

x=40

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What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?

blsea [12.9K]

Answer:

96 degrees

Step-by-step explanation:

you have two angles that each measure 42 degrees, giving you 84 degrees combined

there are 180 degrees in a triangle, therefore the vertex angle is equal to 180 minus 84, or 96 degrees

check:

42 + 42 + 96 = 180

180 = 180

3 0

2 years ago

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Nutka1998 [239]

Answer:

x=28

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Step-by-step explanation:

4 0

3 years ago

25% of X<br> (a) 0.25x<br> (b) 0.25 / x<br> (c) 0.25 - x<br> (d) 0.25 + x

nalin [4]

Your answer is the first option because the word "of" means multiplying.

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3 0

3 years ago

Read 2 more answers

3. Jason uncle buys a 1.5 pound bag of pencils for the beginning of the year. He puts 1/2 of the pencils in a box. If Jason gets

Tems11 [23]

The quantity of pounds of pencils that Jason gets, based on his sharing ratio, is <u>0.15 pounds</u>.

<h3>What is the sharing ratio?</h3>

The sharing ratio is the percentage or ratio that is held by a person out of the total value of the thing being shared.

Jason's share of the pencil can be determined by multiplying the total pencils in the box (1.5 x ¹/₂) by Jason's sharing ratio (¹/₅).

<h3>Data and Calculations:</h3>

Quantity of pencils bought = 1.5 pounds

Half of the pencils in a box = 0.75 pounds (1.5 x ¹/₂)

The pounds got by Jason from the box = <u>0.15 </u>(0.75 x ¹/₅)

Thus, the quantity of pounds of pencils that Jason gets is <u>0.15 pounds</u>.

Learn more about sharing ratios and ratios at brainly.com/question/26254916

#SPJ1

4 0

2 years ago

Determine all prime numbers a, b and c for which the expression a ^ 2 + b ^ 2 + c ^ 2 - 1 is a perfect square .

kogti [31]

Answer:

The family of all prime numbers such that $a^{2} + b^{2} + c^{2} -1$ is a perfect square is represented by the following solution:

$a$ is an arbitrary prime number. (1)

$b = \sqrt{1 + 2\cdot a \cdot c}$ (2)

$c$ is another arbitrary prime number. (3)

Step-by-step explanation:

From Algebra we know that a second order polynomial is a perfect square if and only if $(x+y)^{2} = x^{2} + 2\cdot x\cdot y + y^{2}$ . From statement, we must fulfill the following identity:

$a^{2} + b^{2} + c^{2} - 1 = x^{2} + 2\cdot x\cdot y + y^{2}$

By Associative and Commutative properties, we can reorganize the expression as follows:

$a^{2} + (b^{2}-1) + c^{2} = x^{2} + 2\cdot x \cdot y + y^{2}$ (1)

Then, we have the following system of equations:

$x = a$ (2)

$(b^{2}-1) = 2\cdot x\cdot y$ (3)

$y = c$ (4)

By (2) and (4) in (3), we have the following expression:

$(b^{2} - 1) = 2\cdot a \cdot c$

$b^{2} = 1 + 2\cdot a \cdot c$

$b = \sqrt{1 + 2\cdot a\cdot c}$

From Number Theory, we remember that a number is prime if and only if is divisible both by 1 and by itself. Then, $a, b, c > 1$ . If $a$ , $b$ and $c$ are prime numbers, then $2\cdot a\cdot c$ must be an even composite number, which means that $a$ and $c$ can be either both odd numbers or a even number and a odd number. In the family of prime numbers, the only even number is 2.