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Yanka [14]
3 years ago
8

Determine the most specific name for the figure in the diagram.

Mathematics
1 answer:
Makovka662 [10]3 years ago
6 0
<span>ABCD is a parallelogram. Looking at the quadrilateral ABCD, the first thing to do is to determine if the opposite sides are parallel to each other. So let's check that by looking at the opposite sides. Line segment BA. When you go from point B to point A, you move to the right 1 space, and down 4 spaces. So the slope is -4. Looking at line segment CD, you also move to the right 1 space and down 4 spaces, which also means a slope of -4. So those two sides are parallel. When you compare line segments BC and AD, you'll notice that for both of them, you go to the right 5 spaces and up 2 spaces, so those too are parallel. So we can now saw that the quadrilateral ABCD is a parallelogram. Since ABCD is a parallelogram, we now need to check if it's a rectangle (we know it can't be a square since the sides aren't all the same length). An easy way to test if it's a rectangle is to check of one of the angles is 90 degrees. And if we draw a line from B to D, we can create a triangle ABD. And in a right triangle, due to Pythagora's theorem we know that A^2 + B^2 = C^2 where A is the line segment AB, B is the line segment AD and C is the line segment BD. So let's calculate A^2, B^2, and C^2. A^2: Line segment AB. We can construct a right triangle with A = 1 and B = 4. So C^2 = 1^2 + 4^2 = 1 + 16 = 17. So we have an A^2 value of 17 B^2: Line segment AD. We can construct a right triangle with A = 2 and B = 5. So C^2 = 2^2 + 5^2 = 4 + 25 = 29. So we have an B^2 value of 29 C^2: Line segment BD. We can construct a right triangle with A = 2 and B = 6. So C^2 = 2^2 + 6^2 = 4 + 36 = 40. So we have a C^2 value of 40. Now let's check if the equation A^2 + B^2 = C^2 is correct: 17 + 29 = 40 46 = 40 And since 46 isn't equal to 40, that means that ABCD can not be a rectangle. So it's just a parallelogram.</span>
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Solving one-step inequalities by multiplying/dividing<br><img src="https://tex.z-dn.net/?f=14v%20%5Cleqslant%2014" id="TexFormul
liubo4ka [24]

Answer: v <= 1


Step-by-step explanation:

When you have a variable by a number, you do the opposite of multiplying, so you divide

Since there's only 14v you divide 14 from itself leaving just the variable

14 ÷ 14 = 1

You repeat this and divide on the other side

14 ÷ 14 = 1

Since you arent dividing by a negative on both sides, the arrow stays the same

v <= 1

Hope this helps!


5 0
3 years ago
angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what
spayn [35]

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

∠K = (3x+3)

∠L = (10x-4)

According to the definition,

K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91

Dividing both sides by 13

\frac{13x}{13} = \frac{91}{13}\\x = 7

So,

∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°

∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

Learn more about complementary angles at:

  • brainly.com/question/5756316
  • brainly.com/question/5751004

#LearnwithBrainly

3 0
3 years ago
Able, Ben and Cal each played a game able’s score was six times ben’s score, Cale score was a hird time of Able’s score write do
Feliz [49]

Answer:

6:1:2

Step-by-step explanation:

Let a = Able's score, b = Ben's score, and c = Cal's score.

Since

Able's score was 6 times Ben's score, that means a = 6b.

Cal's score was a third of Able's score, so that means c = a/3. And since a = 6b, that means c = 6b / 3 = 2b.

Thus, the ratio of Able's score to Ben's score to Cal's score, a:b:c, is 6:1:2, because c is twice as much as b and a is 6 times as much as b.

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3 years ago
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