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2 years ago

Find the value of x in each case and give an explanation plzzz, thank youu :)

Mathematics

1 answer:

Serga [27]2 years ago

5 0

Answer:

Step-by-step explanation:

the arrows from the picture tells us that TV is parallel to RS

since TS is a transversal that cuts the 2 parallel lines TV and RS than ∠S =x

(alternate interior angles)

sum of angles in a Δ is 180° so x+x+2x = 180°, 4x =180°, x= 45°

2x = 45*2 = 90°

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Identify the values of the variables. Give your answers in simplest radical form. HELP ASAP!!

kumpel [21]

Answer:

Step-by-step explanation:

Since the triangle is right use the sine/ tangent ratios to solve for x and y

note sin60° = $\frac{\sqrt{3} }{2}$ and tan60° = $\sqrt{3}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{3\sqrt{6} }{y}$

ysin60° = 3 $\sqrt{6}$

y × $\frac{\sqrt{3} }{2}$ = 3 $\sqrt{6}$

multiply both sides by 2 and divide by $\sqrt{3}$

y v= 6 $\sqrt{\frac{6}{3} }$ = 6 $\sqrt{2}$

tan60° = $\frac{opposite}{adjacent}$ = $\frac{3\sqrt{6} }{x}$

xtan60° = 3 $\sqrt{6}$

x × $\sqrt{3}$ = 3 $\sqrt{6}$

divide both sides by $\sqrt{3}$

x = 3 $\sqrt{\frac{6}{3} }$ = 3 $\sqrt{2}$

8 0

3 years ago

Read 2 more answers

Factor The Polynomial X2+X-6

pickupchik [31]

Answer:

C) (x-2)(x+3)

Step-by-step explanation:

x^2+x-6=(x-2)(x+3)

Because (x-2)(x+3)=x^2-2x+3x-6=x^2+x-6.

4 0

3 years ago

i need you to increase the number of customers you talk to daily by 20% i talk to an average of 8 customers per hour during an 8

Scrat [10]

I hope this helped your question

4 0

2 years ago

Solve showing all work and simplify completely:<br> 9/18 + 1/3

ss7ja [257]

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3 <Need the same denominator so find the lowest common multiple.

3 6 9 12 15 18 < multiples of 3

if 3 goes into 18 than it will be our LCM

3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation

9/18 + 6/18 < just add 9 + 6 and place it over 18

15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.

1 3 5 15 <Factors of 15

1 2 3 6 9 18 <Factors of 18

3 is the highest one they both have so divide both 15 and 18 by 3

15/3 is 5 and 18/3 is 6

put the 5 and 6 in their proper places and you have 5/6 or .83333333333...

6 0

3 years ago

If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without repla

erastovalidia [21]

Answer:

Option b) $\frac{17}{260}$

Step-by-step explanation:

We are given the following information in the question:

Total number of marbles = 65

Number of green marbles = 17

We have to find the probability of drawing 2 green marbles at random without replacement.

Formula:

$Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}$

$\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}$

$\text{P(Drawing 2 green marbles at random without replacement)} =\displaystyle\frac{17}{65}\times \frac{16}{64}=\frac{17}{260}$

Option b) $\frac{17}{260}$

5 0

3 years ago