Could someone Help it’s a new topic

Mathematics

2 answers:

mestny [16]2 years ago

8 0

X=36
explanation:
for finding the total angles in a shape you have to follow the formula
(n-2)180
which n is the number of sides
so for a pentagon you will get
3.180=540 and by dividing it into the amount of angles you will get each angle's amount
so
540/5=108 -> each angle
back to the quastion you see the angle C is 108 and we have a triangle
and angles D and B are equal so by subtracting 108 from 180 (total angles in a triangle) we get 72 which is equal to both B and D angles so by dividing it to 2 you will get 36 which is the answer

bagirrra123 [75]2 years ago

7 0

Answer:

So to do this you need a protactor and measure it with it, then add the total

Step-by-step explanation:

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In a circle a chord 10 inches long is parallel to a tangent and bisects the radius drawn to the point of tangency. How long is t

Lorico [155]

Check the picture below.

keeping in mind that the point of tangency for a radius line and a tangent is alway a right-angle, since the "red" chord is parallel to the "green" tangent line outside, then the chord is cutting the "green" radius there in two equal halves at a right-angle, as you see in the picture.

we know the chord is 10 units long, so 5 + 5, since is perpendicularity with the radius will also cut the chord in two equal halves.

anyhow, all that said, we end up with triangle you see on the right-hand-side, and then we can just use the pythagorean theorem.

$\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
-------\\
c=2a\\
a=a\\
b=5
\end{cases}\implies (2a)^2=a^2+5^2$

$\bf (2^2a^2)=a^2+25\implies 4a^2=a^2+25\implies 3a^2=25
\\\\\\
a^2=\cfrac{25}{3}\implies a=\sqrt{\cfrac{25}{3}}\implies a=\cfrac{\sqrt{25}}{\sqrt{3}}\implies a=\cfrac{5}{\sqrt{3}}
\\\\\\
\textit{and then we can \underline{rationalize the denominator} }
\\\\\\
a=\cfrac{5}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies a=\cfrac{5\sqrt{3}}{\sqrt{3^2}}\implies a=\cfrac{5\sqrt{3}}{3}$

7 0

3 years ago

Gloria talked on her cell phone for 320 minutes the first month,243 minutes the second month,and 489 minutes the third month.Her

34kurt

Answer: $\$175$

Step-by-step explanation:

Since Gloria cannot pay for each minute talked but for packages of 200 minutes at the rate of $25 each, we have to make calculations according to these conditions as follows:

Month 1:

Gloria talked on her cell phone for $320 min$ . So, she had to buy 2 packages of $200 min$ for $\$25$ each package.