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3 years ago

Find the value of x, please help!!!!

Mathematics

2 answers:

Amiraneli [1.4K]3 years ago

8 0

When a figure has 4 sides, the sum of its angles will always be equal to 360 degrees. The image above can be represented by the following formula:

x + 103 + 122 + 58 = 360

Simplify the left side of the equation:

x + 283 = 360

Subtract 283 from both sides of the equation:

x + 283 ( – 283 ) = 360 ( – 283 )
x = 77

We have now proven that the value of “x” is equal to 77 degrees.

I hope this helps!

Fudgin [204]3 years ago

4 0

Value of x is 77 degrees

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Greatest to least π^2/4, √4, 2.93

NemiM [27]

Answer:

2.93, √4, π^2/4

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3 years ago

What is the least common multiple of the number 64, 16, 2, and 8?

Lina20 [59]

Answer:

Step-by-step explanation:

Since 64 is a multiple of itself and of all the other numbers, the answer is 64.

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3 years ago

Suppose r(140°, P)(A) = B and (RPD←→∘RPC←→)(A) = B, what is m∠CPD?

NISA [10]

An angle bisector divides an angle into two equal halves.

The measure of angle $\angle CPD$ is 70 degrees

The complete question is an illustrates the concept of angle bisector;

Where:

$\angle RPD = 140^o$ , and line PC bisects $\angle RPD$

Because line PC bisects $\angle RPD$ , then it means that the measure of RPD is twice the measure of CPD:

So, we have:

$\angle RDP = 2 \times \angle CPD$

Substitute $\angle RPD = 140^o$

$140^o = 2 \times \angle CPD$

Divide both sides by 2

$70^o = \angle CPD$

Apply symmetric property of equality:

$\angle CPD = 70^o$

Hence, the measure of angle $\angle CPD$ is 70 degrees

Read more about angle bisectors at:

brainly.com/question/12896755

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2 years ago

The sum of a positive number and 22 is 455 times the reciprocal of the number find the number

dalvyx [7]

Answer:

Step-by-step explanation:

Let the number be x.

ATQ x+22=455/x. x^2+22x=455. x=-35 or 13. Since x is positive, x=13

3 0

3 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

3 years ago

Read 2 more answers