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Sauron [17]
2 years ago
7

2. Mr. Lavi determined that the total cost of his son's birthday party, c, could be represented by

Mathematics
1 answer:
Tresset [83]2 years ago
4 0

Answer:

41 people attended the party

Step-by-step explanation:

1120 = 20x + 300

1120 - 300 = 20x

820 = 20x

x = 41

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Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle
mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

  • sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}
  • cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}
  • tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

   have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ tan(x)=\frac{XZ}{XY}

∴ tan(x)=\frac{10}{12}

- To find x use the inverse of tan(x)

∵ x=tan^{-1}(\frac{10}{12})

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
marysya [2.9K]

Answer:

A digit that makes this sentence true is 4.

Step-by-step explanation:

Since the first digit in the number to the left is 3, you simply have to find a digit greater than 3. Here are the possibilities:

4

5

6

7

8

and

9

Out of any of these you can choose, I chose 4.

4 0
3 years ago
What is the equation of a line perpendicular to -x +2=y that intersects the line at (-1.5, 3.5)?​
Nina [5.8K]

Answer:

y=x+5

Step-by-step explanation:

y-y1=m(x-x1)

y=-x+2

slope of y=-x+2 is -1, perpendicular slope is 1

y-3.5=1(x-(-1.5))

y-3.5=x+1.5

y=x+5

6 0
3 years ago
Are these triangles congruent ?
Vadim26 [7]

Answer:no

Step-by-step explanation:

7 0
2 years ago
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What is the sum of 2^5 and 7^2? Write the answer in the ordinary form.
posledela

Answer:

It's 81

Step-by-step explanation:

2^5 is 2*2*2*2*2 or 32

7^2 is 7*7 or 49

Add them together... 81

5 0
2 years ago
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