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Tanzania [10]
2 years ago
7

The sum of two consecutive interferes is 183. What is the smaller integer

Mathematics
1 answer:
Vika [28.1K]2 years ago
8 0
2 consecutive integers : x and x + 1

x + x + 1 = 183
2x + 1 = 183
2x = 183 - 1
2x = 182
x = 182/2
x = 91

x + 1 = 91 + 1 = 92

ur 2 numbers are 91 and 92 with 91 being the smallest integer
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Heyy could you help me out with this problem???​
vivado [14]

Answer:

C

Step-by-step explanation:

Because of all the variables in the side lengths, we don't have enough information to use side-angle-side similarity.

We do have two angles of one triangle congruent to two corresponding angles of the other triangle, so we can use angle-angle similarity.

Sides AE and AD are corresponding sides. Sides AC and AB are corresponding.

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3 0
3 years ago
You're standing on the ground 7777 meters away from the bottom of a tall tower. The tower itself is 346346 meters tall. What is
lys-0071 [83]

Answer:

88.7°

Step-by-step explanation:

First, visualize. Assuming that the tower is at a perfectly 90° angle to the ground, you have a right triangle. We will call this triangle ΔABC where A is where you are, B is the top of the tower, and C is the base of the tower. Now we know the following:

∠A = ?

∠B = ?

∠C =  90

a = 346346

b = 7777

c = ?

Note: Triangles are labeled with three pairs of letters: a, b and c and A, B and C. The lower case letters, a, b and c represent the sides, and the upper case letters are the angles that are directly opposite of those sides. (see attached reference)

c is easy, c is the hypotenuse, so you can use the following equation to find the hypotenuse:

a² + b² = c²

Rearranged:

c = ± \sqrt{a^{2} +b^{2} }

Substitute a and b:

c = ±\sqrt{346346^{2} +7777^{2} }

Comes out to ~346433.3 meters.

Now if we use the Law of Sines:

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

We can use c and a, since we're trying to find what angle A is, so the ratio is set up as:

\frac{346346}{sinA} = \frac{346433.3}{sinC}

Well we know that C = 90, and so sin(90) in degrees (as opposed to radians) is 1. So then the set of equations is now:

\frac{346346}{sinA} = \frac{346433.3}{1}

Cross Multiply to get rid of the fractions:

346346 = 346433.3 * sin(A)

Divide:

\frac{346346}{346433.3} = sin(A)

Using a calculator, if you take the arcsin of that fraction, you will get what angle A is supposed to be:

arcsin( \frac{346346}{346433.3} ) = ∠A = 88.7°

5 0
2 years ago
11) x – 3y = 3<br> How do you graph it?
kvv77 [185]

Hey!

------------------------------------------------

x – 3y = 3 is written in standard form. We can write in the slope-intercept form.

x - 3y = 3

x - 3y - x = 3 - x

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y = 1 - 3/x

y = 1/3x - 1

Now, we know that the y-intercept is -1 and the slope is 1/3

------------------------------------------------

Hence, the answer is \Large\boxed{\mathsf{In~picture}}

------------------------------------------------

Hope This Helped! Good Luck!

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The 20th term in the sequence should be 5811307335.
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