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polet [3.4K]
2 years ago
14

Triangle r q s is cut by line segment t v. line segment t v goes from side q r to side r s. the length of r v is x 10, the lengt

h of v s is x, the length of r t is x 4, and the length of t q is x minus 3. which value of x would make line segment t v is parallel to line segment q s? 3 8 10 11
Mathematics
1 answer:
CaHeK987 [17]2 years ago
5 0

The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)

<h3>What is a line segment?</h3>

In Mathematics, a Line Segment is a part of a line that has two endpoints.

The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.

<h3>What is the Step by Step solution to the above problem?</h3>

Step 1

Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.

That is: RV/VS = RT/TQ.

Step 2 - replace the segments by the relevant equations

(X + 4)/(X- 3) = (X+10)/(X)

Step 3 - Cross Multiply

 x(x +4) = (x -3)(x +10)

Removing the parentheses, we have

 X² +4X = X² +7X -30; Subtract X² from both sides and we have;

4X = 7X - 30

<h3>Step 3 - Collect like terms by cross multiplying</h3>

-3X = -30 or

3X = 30

Divide both sides by three and we have:

X = 10

Learn  more about line segments at;
brainly.com/question/14366932
#SPJ4

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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7

Similarly,

BC=\sqrt{(5-(-2))^2+(4-4)^2}=7

CD=\sqrt{(5-5)^2+(4-(-3))^2}=7

AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7

It is conclude that, AB=BC=CD=AD.

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

P=4a=4(7)=28\text{ yards}

Area of square floor is

A=a^2=7^2=49\text{ sq. yards}

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0
3 years ago
WILL GIVE BRAINLIEST! A ball rolling down an inclined plane travels, in successive seconds, k feet, 2.5k feet, 4k feet, etc… . F
SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

this is an arithmetic series

and to find out the 9th term

1 second       ....................... k feet

2 second...........................2.5 feet

3 sec.....................................4 feet

4 sec....................................5.5 feet

difference 1.5

5 sec................................7 feet

6 sec................................8.5

7 sec.................................10 ft

8

9second .............................................13 ft

6 0
3 years ago
The use of the internet is constantly growing. How many randomly selected adults must be surveyed to estimate the percentage of
Alika [10]
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7 0
2 years ago
Lara has three cats: Socks, Princess, and Luna. The ratio of Sock's weight to Princess's weight is 4:5. The ratio of Princess's
romanna [79]
A = Sock's weight
b = Princess' weight
c = Luna's weight

a : b = 4 : 5
b : c = 6 : 7

at this point, we have to change the 2 ratios (a : b and b : c) into one ratio (a : b : c)
to do that, we have to change the ratio number so the number b in both ratio is the same

a : b = 4 : 5 = 24 : 30
b : c = 6 : 7 = 30 : 35
From that we can conclude that
a : b : c = 24 : 30 : 35

Since we're looking for the ratio of Sock's weight to Luna's weight, it will be
a : c = 24 : 35
6 0
3 years ago
Read 2 more answers
Someone pls help me solve this ;-;
Mazyrski [523]
5∛x + 4 = 44
5∛x = 40
  ∛x = 8
    x = 8^3
    x = 512

answer
C. 512
8 0
3 years ago
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