All categories

3 years ago

Find the angle measure and show work. (100pts)

Mathematics

2 answers:

steposvetlana [31]3 years ago

7 0

Answer:

120 = m PR

Step-by-step explanation:

The angle formed outside =1/2(difference of intercepted arcs)

60 = 1/2 (major arc - minor arc)

60 = 1/2 (longPR - short PR)

120 = long PR - short PR

long PR = 360 - short PR since a circle is 360 degree

120 = 360 - short PR - short PR

120 = 360 -2 short PR

Subtract 360 from each side

120-360 = -2 short PR

-240 = -2 short PR

Divide by -2

120 = m PR

Maru [420]3 years ago

5 0

Answer:

m(PR) = 120°

Step-by-step explanation:

∠P+∠Q+∠R+∠O = 360° } => ∠O = 180° - 60° = 120°

∠P+∠R = 180°

∠O = m(PR) => m(PR) = 120°

You might be interested in

Please help asap, brainliest,thanks, and 50 points. Thank you soooo much! <3

Anuta_ua [19.1K]

Answers:

1) $x^{8} y^{8}$

2) $y^{3} \sqrt{y}$

3) $5x^{4} \sqrt{6}$

4) $\sqrt{7}$

5) $\frac{\sqrt{z}}{z}$

Step-by-step explanation:

1) $\sqrt{x^{16} y^{36}}$

Rewriting the expression:

$(x^{16} y^{36})^{\frac{1}{2}}$

Multiplying the exponents:

$x^{\frac{16}{2}} y^{\frac{36}{2}}$

Simplifying:

$x^{8} y^{8}$

2) $\sqrt{y^{7}}$

Rewriting the expression:

$\sqrt{y^{6} y}=(y^{6} y)^{\frac{1}{2}}$

Multiplying the exponents:

$y^{\frac{6}{2}} y^{\frac{1}{2}}$

Simplifying:

$y^{3} y^{\frac{1}{2}}=y^{3} \sqrt{y}$

3) $\sqrt{150 x^{8}}$

Rewriting the expression:

$\sqrt{(6)(25) x^{8}}$

Since $\sqrt{25}=5$ :

$5x^{4}\sqrt{6}$

4) $\frac{7}{\sqrt{7}}$

Multiplying numerator and denominator by $\sqrt{7}$ :

$\frac{7}{\sqrt{7}} (\frac{\sqrt{7}}{\sqrt{7}})=\frac{7}{7\sqrt{7}}$

Simplifying:

$\sqrt{7}$

5) $\frac{5z}{\sqrt{25 z^{3}}}$

Rewriting the expression:

$\frac{5z}{5z \sqrt{z}}$

Simplifying:

$\frac{1}{\sqrt{z}}$

Since we do not want the square root in the denominator, we can multiply numerator and denominator by $\sqrt{z}$ :

$\frac{1}{\sqrt{z}}(\frac{\sqrt{z}}{\sqrt{z}})$

Finally:

$\frac{\sqrt{z}}{z}$

3 0

4 years ago

dana has 6 hours to spend training for an uncoming race. if she runs at a speed of 9 mph and walks back at a speed of 3 mph, how

Viktor [21]

Let w = the walking time

the total time is given as 1 hr, therefore (1-w) = running time

Walking dist and running dist is the same

Write a distance equation: dist = speed * time

3w = 9 (1-w)

3w = 9 - 9w

3w + 9w = 9

12w = 9

w = 9/12 = 3/4 hrs walking back

8 0

4 years ago

Need help solving a practice question

liraira [26]

Answer:

x=10

Step-by-step explanation:

Using Pythagoras theorem

H^2=O^2+A^2

26^2=24^2+A^2

676= 576+A^2

676-576= A^2

100= A^2

square root both sides

10= A

Therefore, x=10

3 0

3 years ago

What is the sum of 3.85 x 10^3 and 18,240 written in scientific notation?

ki77a [65]

Answer:

Hope it will help you a lot.

7 0

3 years ago

Johana has 70 beads. She usted 8 beads for each bracelet. She makes as many bracelets as possible. Haw many beads will Johana ha

eimsori [14]

She will have 6 beads left over

3 0

3 years ago