MATHEMATICS HIGH SCHOOL

The sides of a quadrilateral are 3,4,5 and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great. A) 9

B) 13.5

C) 27

Answers

Answer 1

Answer:

Answer:

(A) $9$

Step-by-step explanation:

GIVEN: The sides of a quadrilateral are $3,4,5$ and $6$ .

TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is $9$ times as great.

SOLUTION:

let the height of smaller quadrilateral be $h$

As both quadrilateral are similar,

let the length of larger quadrilateral are $x$ times of smaller.

sides of large quadrilateral are $3x,4x,5x\text{ and }6x$

height of large quadrilateral $=h x$

Area of lager quadrilateral $=\text{base}*\text{height}$

$=4x* hx=4hx^2$

Area of smaller quadrilateral $=\text{base}*\text{height}$

$=4h$

as the larger quadrilateral is $9$ times as great

$(4hx^2)/(4h)=9$

$x^2=9$

$x=3$

shortest side $=3x=3*3=9$

Hence the shortest side of larger quadrilateral is $9$ , option (A) is correct.

Answer 2

Answer:

Answer:

(A)

Step-by-step explanation:

GIVEN: The sides of a quadrilateral are and .

TO FIND: Find the length of the shortest side of a similar quadrilateral whose area is times as great.

SOLUTION:

let the height of smaller quadrilateral be

As both quadrilateral are similar,

let the length of larger quadrilateral are times of smaller.

sides of large quadrilateral are

height of large quadrilateral

Area of lager quadrilateral

Area of smaller quadrilateral

as the larger quadrilateral is times as great

shortest side

Hence the shortest side of larger quadrilateral is , option (A) is correct.

Step-by-step explanation:

Related Questions

Mr. Parker's grocery bill before paying sales tax was $98. The final amount he had to pay was $103.88. What is the sales tax percentage that Mr. Parker paid?
The difference of m and 7 increase by 15
The perimeter of a square is 48 centimeters. What is its area?
-18 - 14= whats the answer help
What is the solution to the inequality?5x + 8 > –12A.x < –4B.x < 4C.x > –4D.x > 4

Find the GCF of 4x^2 y and 6xy^3

Answers

Answer:

2x^2

Step-by-step explanation:

because 2 is the greatest number that can go into them both equally and it can be squared evenly 2 x

Answer:

2xy

Step-by-step explanation:

first find each of their GCF

4&6=2

x^2&x=x

y&y^3=y

so GCF of 4x^2y&6xy^3=2xy

What is the simplified expression for the expression below?-1(2x + 3) - 2(x - 1)

() 4x + 1

() 4x2

() 4x + 2

() 4% = 1

Answers

first answer: -4x-1

.............

Answer:

-4×-1

Step-by-step explanation:

1. If angle A and angle B are vertical angles and mA = 7x-5 and mB = 4x + 10, what is the value of x

Answers

Answer:

175/11 or 165 and 10/11

Step-by-step explanation:

7x-5+4x+10=180

11x+5=180

11x=175

x=175/11

Tanisha is graphing the function f(x) = 25(3/5)^x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?(2, 9)

(2, –10)

(2, 14 2/5)

(2, 5)

Answers

The answer is (2,9).

This is because we can increment X by 1, giving us X=2. We can then do:
f(2)=25•(3/5)^2
Which equals:
f(2)=25•(3^2/5^2) because (a/b)^c = a^c/b^c.

We can then calculate the fraction in a simplified form:
f(2)=25•(9/25)=225/25
which fully simplified gives us
f(2)=9/1=9

Answer:

(2,9)

Step-by-step explanation:

Took the test

15% of what number equals 12?

Answers

percent means parts out of 100
15%=15/100=0.15
'of' means multiply

therefor
15% of x equals 12 means
0.15 times x=12
divide both sides by 0.15
x=80

the number is 80

Look at the parallelogram ABCD shown below: The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent: Statement Reasons 1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram 2
angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent 3
BD = BD Reflexive Property 4
triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate 5
AB = DC, AD = BC Corresponding parts of congruent triangles are congruent
Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

Statement Reasons

1. AB is parallel to DC and Definition of parallelogram

AD is parallel to BC

2. angle 1 = angle 2, If two parallel lines are cut by a

angle 3 = angle 4 transversal then the alternate

interior angles are congruent

3. BD = BD Reflexive Property

4. $\triangle ADB\cong \triangle CBD$ ASA postulate

5. AB = DC, AD = BC (CPCTC)

If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.

According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Therefore option 1 is correct.

Answer:

alternate interior angles, i took the test and got it right

Step-by-step explanation:

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