The measure of an exterior angle of a triangle is equal to the sum of the measures of what two interior angles

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Answer 1

Answer:

Answer :

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

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Someone please help me : evaluate 3st to the second power + 2s if s=5 and t=3??

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$s=5\ \ \ and\ \ \ t=3\n\n\Rightarrow\ \ \ 3st^2 + 2s=3\cdot 5\cdot3^2+2\cdot5=15\cdot9+10=135+10=145$

A bag contains 5 black marbles and 4 white marbles. A spinner has 3 equal sections labeled 1 through 3. What is the probability of drawing a black marble from the bag and spinning a 1 on the spinner?

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$5+4=9 \leftarrow \text{marbles in total}$

$\text{The probability of drawing a black marble is } (5)/(9)$

$\text{The probability of spinning a 1 is } (1)/(3)$

$\text{The probability of both is } (5)/(9)\cdot(1)/(3)=(5)/(27)$

15 POINTS and Will mark BRAINLIEST!!! PLease heLP Write the expression as a simplified rational expression. 5 / 1/6 + 1 / x+1
Show work!

Answers

simplify the denominator

1/6 + 1 /x+1

common denominator

6(x+1)

1/6 *(x+1)/(x+1) = (x+1)/6(x+1)

1/(x+1) * 6/6 = 6/(6(x+1))

(x+1)/6(x+1) + 6/(6(x+1))= (6+ (x+1))/(6(x+1)) = (7+x)/(6*(x+1))

then

5/ (7+x)/(6*(x+1))

copy dot flip

5 * (6*(x+1))/(7+x) =30 * (x+1)/(7+x)

Answer : 30 * (x+1)/ (x+7)

Please tell the answer and no need to explain it9/4 raised to the negative 2 powerThank u

Answers

$\left((9)/(4)\right)^(-2)=\left((4)/(9)\right)^(2)=(16)/(81)$

A drinking glass is shaped like a cylinder with a height of 5 in. and a diameter of 3 in. Maeva adds 25 spherical pieces of ice to the glass. The pieces of ice each have a diameter of 1.1 in.How many cubic inches of water can Maeva add to fill the glass to the rim? Use 3.14 to approximate pi and round your answer to one decimal place.

Answers

first find volume of glass
find volume of ice
subtract

cylinder area=height times are of base

height=5
area of base=circle=pi times radius^2
diameter=2radius
diameter/2=radius
3/2=radius=1.5

pi=aprox 3.14
3.14 times 1.5^2=7.065
7.065 times 5=35.325=volume of glass

25 spereical ice
volume of shqere=4/3 times pi timers r^3
diameter/2=r
1.1/2=0.55
4/3 times 3.14 times 0.55^3=0.696557=1 ice
multiply by 25
17.4139
subtract
35.325-17.4139=17.9111
round to one decimal place
17.9

the answer is 17.9 cubic inches or
17.9 in^3

I need help with this Algebra 1 Study Guide. It has 5 questions . This has many hard questions so to you people that like a challenge, can you help me out?

Answers

1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. √4 = 2, rational.

√4 + √16 = 2 + 4 = 6. rational
√5 + √36... irrational
√9 + √24... irrational
2 × √4 = 2 × 2 = 4. rational
√49 × √81 = 7 × 9 = 63. rational
3√12... irrational

2. $n^\frac12=\sqrtn$
$9^\frac32=9^3*\frac12=√(9^3)=√(729)=29$

3. $(n^a)/(n^b)=n^(a-b)$

$(a^\frac13)/(a^\frac14)=a^(\frac13-\frac14)=a^{(1)/(12)}$

4. $n^\frac1x=\sqrt[x]n$

$\sqrt[3]{m^2n^5}=m^(\frac23)n^(\frac53)$

5. $√(a)*√(b)=√(ab)$

$√(3)*√(12)=√(3*12)=√(36)=6$

A, since neither 3 nor 12 is a square but we end up with 6.

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