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swat32
3 years ago
10

Please, I need help I'm way behind.

Mathematics
1 answer:
gregori [183]3 years ago
3 0

Answer:

\frac{18√2}{√3}

Step-by-step explanation:

  1. The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
  2. The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
  3. We can get the length of the longest side of the bottom triangle is 9×2÷√3 = \frac{18}{√3}
  4. And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is \frac{18}{√3}x√2  
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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures
aleksley [76]

Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

x = \dfrac{140^{\circ}}{70} = 2^{\circ}

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

Learn more about parallel lines cut by a transversal here:

brainly.com/question/533025

8 0
2 years ago
Baseball Ichiro Suzuki holds the American League record for the most hits in a single baseball season. In 2004, Suzuki had a tot
mamaluj [8]

Let Home runs = X

Triples would be X-3 ( 3 less triples than home runs)

Doubles would be 3x ( 3 times as many doubles as home runs)

Singles would be 45(x-3) ( 45 times as many singles as triples)

Simplify the equation for singles to be 45x-153

Now you have X + x-3 + 3x + 4x-135 = 262

Simplify:

50x - 138 = 262

Add 138 to both sides:

50x = 400

Divide both sides by 50:

x = 400/50

x = 8

Home runs = x = 8

Triples = x-3 = 8-3 = 5

Doubles = 3x = 3(8) = 24

Singles = 45(x-3) = 45(8-3) = 45(5) = 225

7 0
3 years ago
(Will give 25 points) Given the graph of this trigonometic funaction over which domain(s) could inverse function be constructed
GREYUIT [131]

Answer:

ok so i think it it a or b i don't know but hope i am right

Step-by-step explanation:

5 0
2 years ago
I need help completing this problem ASAP
Evgen [1.6K]

Answer:

8 sqrt(5)

Step-by-step explanation:

sqrt(45) + sqrt(125)

Rewriting

sqrt(9*5) + sqrt( 25 *5)

we know sqrt(ab) = sqrt(a) sqrt(b)

sqrt(9) sqrt(5) + sqrt(25) sqrt(5)

3 sqrt(5)+5 sqrt(5)

Add like terms

8 sqrt(5)

5 0
3 years ago
Read 2 more answers
What are partial quotients
Degger [83]

A partial quotient refers to a method for solving large division problems in mathematics. An alternative to the traditional long division method is the partial quotient method. This partial quotient division method is used to make multi-digit division simple and easy to understand and perform.

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