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3 years ago

Use special right triangles to solve for the value of x.

Mathematics

2 answers:

snow_lady [41]3 years ago

8 0

Answer

Explanation.

The triangle shown is a right triangle. One of the acute angles is given as 45°. Angles in a triangle add up to 180°

So we can get the third angle of the triangle as follows:

180 - (90+45) = 45.

From this we can conclude that, apart from the triangle being an right triangle, it is also isosceles triangle. This means that the two shorter sides of the triangle are equal.

So, the value of x is 7.

Verizon [17]3 years ago

3 0

Answer: x = 7

Explanation:

1) This special right triangle is the isosceles right triangle: 45°-45°-90°.

It is an isosceles right triangle, then x = 7.

2) For these the isosceles right triangle you have: hypotenuse = leg length × √2.

You can prove that using Pythagoras: hypotenuse² = side² + side² = 2×side² ⇒ hypotenuse.

3) Therefore: x = 7 and y = 7√2

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The committee spends $444 on costumes for 24 people. Each costume costs the same amount of money. How much did each costume cost

elixir [45]

Answer:

$18.50 for each costume

Step-by-step explanation:

Since they spent a total of $444 and they bought a total of 24 costumes and they were all the same price you would just do $444 divided by 24 which would equal $18.50. So each costume costed $18.50.

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3 years ago

Does the order of information matter when writing a proof? (geometry)

n200080 [17]

Answer:

Yes it does matter

Step-by-step explanation:

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3 years ago

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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p

rusak2 [61]

The answer is incomplete. Here is the complete question:

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer:

Part 1: $25x\geq 600$

Part 2: $15y\geq 600$

Part 3: $y\leq 40$

Part 4: Yes, she makes exactly 600 dollars by making 40 pies.

Step-by-step explanation:

Given:

Total money needed for the trip is 600 dollars.

Money earnt by Jamie for washing one car is $25.

Money earnt by Stella for making one pie is $15.

Let $x$ represent the number of cars Jamie washes. Let $y$ represent the number of pies Stella makes.

Part 1:

Since the cost for washing one car is $25

Therefore, the cost of washing $x$ cars is $25x$ .

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600.

Therefore, $25x\geq 600$

Part 2:

Since the cost for making one pie is $15

Therefore, the cost of making $y$ pies is $15y$ .

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600.

Therefore, $15y\geq 600$

Part 3:

As per the question, the maximum number of pies that Stella can make is 40. So, the value of $y$ can't exceed 40 and must be less than or equal to 40. Therefore,

$y\leq 40$

Part 4:

Now, in order to sign up for the trip, Stella's total earning must be at least $600. So, $15y=600$ is the minimum condition for signing up for the trip. Now, let us solve the above equation for $y$ . This gives,

$15y=600\\y=\frac{600}{15}=40$

Therefore, minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

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3 years ago

Write the slope-intercept form of the equation of the line. slope = 1, y, int = -2

choli [55]

Answer:

y = x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 1

y-intercept b = -2

Step 2: Write linear function

y = x - 2

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seropon [69]

Answer:

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