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docker41 [41]
3 years ago
12

The side lengths of a right triangle are 24 , 45 , and 51 . Determined which is the length of the hypotenuse

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
The side length 51 is the hypotenuse.
24*24+45*45=2601
The square root of 2601 is 51.
Please note that the hypotenuse is most likely the longest side.
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Read the above and answer​
svetlana [45]

Answer:

Linear Pair:

∠ 1 and ∠ 2

Vertical Angles:

∠ 1 and ∠ 3

Supplementary Angles:

∠ 7 and ∠ 6

Step-by-step explanation:

Linear Pair:

A linear pair of angles is formed when two lines intersect.

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Example

∠ 1 and ∠ 2           ∠ 8 and ∠ 5 ,etc

Vertical Angles:

The angles opposite each other when two lines cross.

They are always equal.

Example

∠ 1 and ∠ 3           ∠ 8 and ∠ 6 ,etc

Supplementary Angles:

Two Angles are Supplementary when they add up to 180 degrees.

Examples  two angles (140° and 40°)

All Linear pair are Supplementary angles

Example

∠ 7 and ∠ 6           ∠ 8 and ∠ 5 ,etc

3 0
3 years ago
What is the discriminant of 32x-4= 4x^2 + 60
hodyreva [135]

Step One

Begin by getting one side of the question equal to zero.

32x -4 = 4x^2 + 60 Add - 32x + 4 from both sides.

0 = 4x^2 + 60 - 32x + 4 Collect like terms.

0 = 4x^2 - 32x + 64

Step Two

For this question, you could divide both sides by 4. It just makes the steps later on easier.

0 = x^2 - 8x + 16

Step Three

Calculate the discriminate.

The discriminate is b^2 - 4*a*c

a = 1; b = -8; c = 16

b^2 - 4*a*c = (-8)^2 - 4*(1)(16) = 64 - 64 = 0

There is only 1 root. It is real and it is rational.

A <<<<< Answer



4 0
3 years ago
20 POINTS!!!
notka56 [123]

\dfrac{2}{\sqrt3\cos x+\sin x}=\sec\left(\dfrac{\pi}{6}-x\right)\\\\\dfrac{2}{\sqrt3\cos x+\sin x}=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}\ \ \ \ \ (*)\\----------------\\\\\cos\left(\dfrac{\pi}{6}-x\right)\ \ \ \ |\text{use}\ \cos(x-y)=\cos x\cos y+\sin x\sin y\\\\=\cos\dfrac{\pi}{6}\cos x+\sin\dfrac{\pi}{6}\sin x=\dfrac{\sqrt3}{2}\cos x+\dfrac{1}{2}\sin x=\dfrac{\sqrt3\cos x+\sin x}{2}\\------------------------------

(*)\\R_s=\sec\left(\dfrac{\pi}{6}-x\right)=\dfrac{1}{\cos\left(\dfrac{\pi}{6}-x\right)}=\dfrac{1}{\dfrac{\sqrt3\cos x+\sin x}{2}}\\\\=\dfrac{2}{\sqrt3\cos x+\sin x}=L_s

6 0
3 years ago
Read 2 more answers
Jason gets very nervous giving speeches in front of big crowds how can he combat his nervousness
gregori [183]

Answer: Jason can imagine everyone naked while on the stage, it will make him smile, and feel free.

Step-by-step explanation: I'ts pretty easy actually.

3 0
3 years ago
What is the slope of the line passing through the points (0,0),(1/3,7/3)?
umka21 [38]
(0,0)(1/3,7/3)

slope = (7/3 - 0) / (1/3 - 0) = (7/3) / (1/3) = 7/3 * 3 = 21/3 = 7 <==
8 0
3 years ago
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