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solniwko [45]
3 years ago
6

Four points partition the directed line segment from A to B.

Mathematics
2 answers:
Bezzdna [24]3 years ago
7 0

You have ratios 3:4, 4:3, 2:5 and 5:2. Each of these ratios is such that in total gives 7.

Divide segment AB in seven equal parts. Then:

  • Point P partitions the directed line segment from A to B into a 3:4 ratio. This means that point P lies three such parts to the right from point A and four such parts to the left from point B.
  • Point Q partitions the directed line segment from A to B into a 4:3 ratio. This means that point Q lies four such parts to the right from point A and three such parts to the left from point B.
  • Point R partitions the directed line segment from A to B into a 2:5 ratio. This means that point R lies two such parts to the right from point A and five such parts to the left from point B.
  • Point S partitions the directed line segment from A to B into a 5:2 ratio. This means that point S lies five such parts to the right from point A and two such parts to the left from point B.

As you can see the closest point to point B is point S, because it lies 2 parts to the left from point B and and this amount of parts is the smallest one.

Answer: correct choice is point S.

Nataliya [291]3 years ago
4 0

Answer:

Point S

Step-by-step explanation:

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2/3 (12x-9) i need help on this
schepotkina [342]

Answer:

8x−6

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
Read 2 more answers
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Scilla [17]

Answer:

BC = 6.8

Step-by-step explanation:

The distance from A to B, then from B to C, is the same distance as from A to C.

Thus,

AB + BC = AC

AB = 8x + 8

BC = 4x + 2

AC = 22

AB + BC = AC

(8x + 8) + (4x + 2) = 22

Expanding the parenthesis:

8x + 8 + 4x + 2 = 22

8x + 4x + 8 + 2 = 22

12x + 12 = 22

Subtracting 12 from both sides:

12x = 10

Dividing both sides by 12:

x = 10/12 = 1.2

x = 1.2

We're looking for BC. As we know,

BC = 4x + 2

Let's now put in x = 1.2 into this equation:

BC = 4x + 2

BC = 4 * 1.2 + 2

Since 4 * 1.2 is 4.8:

BC = 4.8 + 2

BC = 6.8

Answer: BC = 6.8

8 0
3 years ago
The triangles shown are similar.
valkas [14]
15, because 3 goes into 9, 3 times and, 4 goes into 12, 3 times therefore x has to follow this rule because these 2 triangles are similar and because it already gives you 5 just take 5*3=15 there is your answer enjoy!=)
6 0
3 years ago
Read 2 more answers
Can someone please g<br> find the length X.
Naily [24]

Answer:

x = 7

Step-by-step explanation:

the 2 is doubled so the 3.5 has to be doubled as well

6 0
3 years ago
From a hot-air balloon, Juan measures a 36° angle of depression to a landmark that's
Masja [62]

Using the slope concept, it is found that the balloon's vertical distance above the ground is of 437.4 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem:

  • The vertical change is x.
  • The horizontal change is of 602 ft.
  • The angle is of 36º.

Hence, applying the concept:

tan (36º) = x/602

x = 602 x tan(36º)

x = 437.4.

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

4 0
2 years ago
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