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valentinak56 [21]
3 years ago
11

Erry earned $24 doing yard work, which is 60% of what Dallas earned. How much money did Dallas earn? Answer Choices $36

Mathematics
1 answer:
Virty [35]3 years ago
3 0
24=60%
60%=3/5
24/3=8
8=1/5
8*5=40
The answer is 40 dollars
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Please help me!!!! So confused
yarga [219]

<em>Question:</em>

The area of the kite is 48 cm². What are the lengths of the diagonals PR and QS?

________


<em>Solution:</em>

You can split the kite into two isosceles triangles:   PSR and PQR.

Assume that both diagonals intersect each other at the point O.


•   Area of the triangle PSR:

           m(PR) · m(OS)
A₁  =  ————————
                     2

           (x + x) · x
A₁  =  ——————
                  2


           2x · x
A₁  =  ————
              2


A₁ = x²        (i)


•   Area of the triangle PQR:

            m(PR) · m(PQ)
A₂  =  ————————
                     2

           (x + x) · 2x
A₂  =  ——————
                  2

           2x · 2x
A₂  =  ————
               2

           4x²
A₂  =  ———
             2


A₂ = 2x²        (ii)


So the total area of the kite is

A = A₁ + A₂ = 48


Then,

x² + 2x² = 48

3x² = 48

            48
x²  =  ———
            3

x² = 16

x = √16

x = 4 cm


•   Length of the diagonal PR:

m(PR) = x + x

m(PR) = 2x

m(PR) = 2 · 4

m(PR) = 8 cm


<span>•   </span>Length of the diagonal SQ:

m(SQ) = x + 2x

m(SQ) = 3x

m(SQ) = 3 · 4

m(SQ) = 12 cm


I hope this helps. =)


Tags:  <em>polygon area triangle plane geometry</em>

8 0
3 years ago
1. If (1, -2) is a solution of a linear equation 2x – y = p, then find the value of p.​
alisha [4.7K]

Answer:

Just put the values of x and y

x = 1

y = -2

2x – y = p

2(1) - (- 2) = p

p = 4

6 0
3 years ago
Read 2 more answers
1
ss7ja [257]

Answer:

32.08488741

Step-by-step explanation:

4 0
3 years ago
PLEASE HELP WITH QUIZ!!!!!!!! 25 POINTS!!!!!!!!!!!!!
MAVERICK [17]

Answer:

1. The correct options are 2 and 4.

2. The measure of angle 6 is 60°.

Step-by-step explanation:

1.

It is given that a∥b , and c is not parallel to a or b. So, we can not establish any relationship among the angles on the line a,b and  angles on the line c.

If a traversal line intersect two parallel line, then corresponding angles, alternate exterior angle and alternate interior angles are equal.

\angle 2=\angle 6=\angle 3=\angle 7

\angle 1=\angle 5=\angle 4=\angle 8

Therefore  correct options are 2 and 4.

2.

It is given that AB∥CD and m∠3=120°.

Statements                     Reasons

​ m∥nm∠1=120° ​                Given

∠5≅∠1                             Corresponding angles are equal

m∠5=m∠1                    Angle Congruence Postulate

m∠5=120°                    Substitution Property of Equality

m∠6+m∠5=180°             Supplementary angle property

m∠6+120°=180°            Substitution Property of Equality

m∠6=60° ​                    Subtraction Property of Equality

Therefore the measure of angle 6 is 60°.

8 0
4 years ago
Read 2 more answers
How many 14 inch cubes does it take to fill a box with width 314 inches, length 234 inches, and height 114 inches?
Nesterboy [21]

Answer:

Step-by-step explanation:

First you need to find the area then divide that by 14

3 0
3 years ago
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