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natta225 [31]
2 years ago
6

One of the legs of a right triangle measures 9cm and the other leg measures 8cm. Find the measure of the hypotenuse. If necessar

y round to the nearest
tenth.
Mathematics
1 answer:
Aleks04 [339]2 years ago
4 0

Answer:

12.0 cm

Step-by-step explanation:

Use Pythagorean theorem a^2+b^2 = c^2

a = 9

b = 8

hypotenuse = c = \sqrt{8^2+9^2}

c = 12.04 cm

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FIND THE MEASUREMENT OF THE MISSING ANGLES ON THE GIVEN FIGURE BELOW AND STATE YOUR REASON
marusya05 [52]

Answer:

Step-by-step explanation:

1) ∠1 +  ∠2 = 180    {linear pair}

    105 +∠2 = 180

            ∠2 = 180 - 105

            ∠2 = 75°

Reason: Linear pair

2) ∠3 = ∠1          {Vertically opposite angles are congruent}

   ∠3 = 105

Reason: Vertically opposite angles are congruent

3 0
3 years ago
Matthew is making a sequence in which -3 is added to each successive term. The 6th term in his sequence is -1. What is the 1st t
Hatshy [7]

Answer:

The first term is 14.

Step-by-step explanation:

The general formula for this kind of sequence (arithmetic) is a(n) = a(1) + (n-1)c, where c is the common difference.  Here, we have a(6) = -1 = a(1) + (6-1)(-3), or -1 +15 = a(1).  The first term is 14.



3 0
3 years ago
Vladimir says that the equation of the line that passes through points (negative 5, negative 3) and (10, 9) is y = four-fifths x
love history [14]

Answer:

Vladimir and Robyn both are correct.

Step-by-step explanation:

Let us check whether the points (-5,-3) and (10,9) are on the line y = \frac{4}{5}x + 1 or not.

The equation of the straight line passing through the given points (-5,-3) ans (10,9) is \frac{y - 9}{9 + 3} = \frac{x - 10}{10 + 5}

⇒ 5(y - 9) = 4(x - 10)

⇒ 5y = 4x + 5

⇒  y = \frac{4}{5}x + 1 .............. (1)

So, Vladimir is correct.

Now, Robyn says that the line passes through the points (-10,-7) and (-15,-11).

Then, both of the points satisfy the equation (1).

Therefore, Vladimir and Robyn both are correct. (Answer)

4 0
3 years ago
Read 2 more answers
Which equation can be used to find the length of Line segment A C? Triangle A B C is shown. Angle A C B is 90 degrees and angle
taurus [48]

<u><em>Answer:</em></u>

AC = 10sin(40°)

<u><em>Explanation:</em></u>

The diagram representing the question is shown in the attached image

Since the given triangle is a right-angled triangle, we can apply the special trig functions

<u>These functions are as follows:</u>

sin(θ) = opposite / hypotenuse

cos(θ) = adjacent / hypotenuse

tan(θ) = opposite / adjacent

<u>Now, in the given diagram:</u>

θ = 40°

AC is the side opposite to θ

AB = 10 in is the hypotenuse

<u>Based on these givens</u>, we will use the sin(θ) function

<u>Therefore:</u>

sin(40) = \frac{AC}{10}\\ \\AC = 10sin(40)

5 0
3 years ago
Read 2 more answers
Solve the inequality. 2n/7 ≤ 4, but it needs to be in set-notation.
son4ous [18]

Answer

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Step-by-step explanation:

simplify 2n<28

2n/2<28/2

simplify n<14

6 0
3 years ago
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