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3 years ago

Find the value of each variable in the circle to the right. The dot represents the center of the circle.

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

Answer:

<h2>Angle d is 65°.</h2><h2>Angle c is 89°.</h2><h2>Arc a is 131°.</h2><h2>Arc b is 47°.</h2>

Step-by-step explanation:

According to the inscribed quadrilateral theorem, opposite angles of the quadrilateral are supplementary, which means they sum 180°.

$115+d=180\\d=180-115\\d=65$

Therefore, angle d is 65°.

$c+91=180\\c=180-91\\c=89$

Therefore, angle c is 89°.

Now, the angle 115° subtends the arc 99+a, which according to the theorem

$115=\frac{1}{2}(99+a)\\ 230=99+a\\a=230-99\\a=131$

Therefore, arc a is 131°.

Similarly, angle c subtends arc a+b, which means

$c=\frac{1}{2}(a+b)\\ 89=\frac{1}{2}(131+b)\\ 178=131+b\\b=178-131\\b=47$

Therefore, arc b is 47°.

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(x5 + y5) ÷ (x + y) please answer ASAP

Shkiper50 [21]

Answer:

$\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4$

Step-by-step explanation:

Given the expression

$\left(x^5+y^5\right)\div \left(x+y\right)$

$\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}$

$x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)$

$=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}$

Cancel the common factor: x+y

$=x^4-x^3y+x^2y^2-xy^3+y^4$

Thus,

$\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4$

3 0

2 years ago

The decimal number 1.5398 greater than 1539.8

Verdich [7]

Answer:

yes

Step-by-step explanation:

it 1539.8 is greater

6 0

3 years ago

What does math anxiety mean?

inn [45]

Anxiety would mean if you're worrying about something or fearing something. So math anxiety would be feeling worried or scared about your ability to do math.

7 0

2 years ago

In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 34 inches along the

S_A_V [24]

We can solve this by using the P<span>ythagorean theorem which is below:

$a^2 + b^2 = c^2$

Or we can say
</span> $w^2 + h^2 = d^2$
<span>w = widht
h = height
d = diagonal measure

With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation

</span> $w^2 + h^2 = d^2$
$w^2 + (.75w)^2 = 34^2$
Now lets to the math
$w^2 + (.75w)^2 = 34^2$
$w^2 + (.75w)^2 = 1156$
$w^2 + .5625w^2 = 1156$
Combine like terms
$w^2 + .5625w^2 = 1156$
$1.5625w^2 = 1156$
Divide both sides of the equal sign by 1.5625
$\frac{1.5625w^2}{1.5625} = \frac{1156}{1.5625}$
$w^2 = 739.84$
Now take the square root on both sides of the equal sign
$\sqrt{w^2} = \sqrt{739.84}$
$w = 27.2$

So the width is 27.2
We can check this by putting 27.2 back into our original equation
$w^2 + (.75w)^2 = 34^2$
$27.2^2 + (.75\times 27.2)^2 = 34^2$

3 0

2 years ago

Determine the rate of change for thw graph: $____ per mile

Ira Lisetskai [31]

Answer:

$2 per mile

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS