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GREYUIT [131]
3 years ago
12

Help plzzzzzzzzzzzzzzzzzzzzzz

Mathematics
1 answer:
lianna [129]3 years ago
3 0
No because 7-4 would be 3, then 3/3 is just 1 so the answer would be x=1
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Given: KPST is a trapezoid, KP=ST, MN is a midsegment, MN=20, h=15, PS:KT=3:7 Find: KS and KP
lions [1.4K]

Answer:

Length of KS = 25 units and

Length of KP = 17 units.

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also it is given that, MN = 20 , h = 15 and PS:KT = 3:7.

  • If two sides of the trapezoid are equal then, it is an isosceles trapezoid.
  • Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.
  • A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.
  • Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let  PS = 3x and KT = 7x respectively.

then;

\frac{PS+KT}{2} = 20

\frac{3x+7x}{2} = 20

\frac{10x}{2} =20

On Simplify, we get;

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12 and Length of base KT = 7x = 7(4) = 28.

Now, In triangle PLK

Using Pythagoras theorem to find KP;

It is given here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

KP^2= PL^2 + KL^2

KP^2 = 15^2+8^2 =225 +64 = 289

KP = \sqrt{289}

Simplify:

KP = 17

therefore, the length KP = 17 units

To, construct a line: Join K and S

Now, in triangle KRS

KR = KL +LR = 8 +12 =20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS;

KS^2 = SR^2+KR^2

KS^2 = 15^2 + 20^2 = 225 + 400 = 625

KS = \sqrt{625}

On simplify:

KS = 25

Therefore, the length of KS is, 25 units.

4 0
2 years ago
1. What are the roots of the equation?
irinina [24]
The answers to the questions

5 0
3 years ago
Madison has 64 circles and 96 squares and 48 triangles.What factors do these numbers have in common? A.1,2,4,8,or 16 B.1,2,4,6,1
cestrela7 [59]

Answer:

The correct answer is option A.

Step-by-step explanation:

Number of circles = 64

Number of square = 96

Number of triangles = 48

Factor of 64, 96  and 48;

64=2\times 2\times 2\times 2\times 2\times 2

96= 2\times 2\times 2\times 2\times 2\times 3

48= 2\times 2\times 2\times 2\times 3

Factors do these numbers have in common are:

64 = 2 × 2 × 2 × 2 × 2 × 2

96= 2 × 2 × 2  × 2 × 2 × 3

48= 2 × 2 × 2 × 2  × 3

Common factors = 2 × 2 × 2 × 2 =16

5 0
3 years ago
Which number produces an irrational number when multipled by 1/4
BabaBlast [244]

Answer: Any irrational number

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction of two integers where the denominator is different from zero, it is also characterized by the fact that its decimal expression is neither exact nor periodic.

As an example of this we have \pi = 3.141592653 ...

On the other hand, it is necessary to know the following:

-The multiplication of two rational numbers results in a rational number.

-The multiplication of a <u>rational number</u> by <u>any irrational number</u> results in an <u>irrational number.</u>

This means that if we multiply 1/4 (which is rational) by any irrational number, the result will be irrational.

Therefore, the answer is: Any irrational number.

6 0
2 years ago
Find y, at and tu I need help please help
lesantik [10]

Answer:

there is no picture... but i will try my best to help you if you post picture in another question

8 0
2 years ago
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