Using known properties, determine if the statements are true or not. Select True or False for each statement. If one pair of consecutive sides of a parallelogram is congruent, then the parallelogram is a rectangle. The diagonals of a parallelogram bisect each other. If a quadrilateral has four right angles, then it is a square.

According to the perimeter of the rectangle, it is found that it's greatest possible width is of 34 cm.

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

In this problem, the length of the rectangle is 7cm longer than the width, hence l = 7 + w. Considering that the perimeter is less than 152 cm:

[tex]2(l + w) < 152[/tex]

[tex]l + w < 76[/tex]

[tex]7 + w + w < 76[/tex]

[tex]2w < 69[/tex]

[tex]w < 34.5[/tex]

Rounding, it's it's greatest possible width is of 34 cm.

More can be learned about the perimeter of a rectangle at https://brainly.com/question/10489198

Answer:

 Slope = 39.000/2.000 = 19.500

 x-intercept = 1/234 = 0.00427

 y-intercept = -1/12 = -0.08333

Step-by-step explanation:

Answer: -10

Step-by-step explanation: In slope-intercept form, the formula is y = mx + b with m = slope and b = y-intercept. In the expression, the "b" is -10. Therefore, the b value of this equation is -10.

Answer:

Y = -2/5x - 4

Step-by-step explanation:

Hope this helps. Pls give brainliest.

Answer:

a = -2

Step-by-step explanation:

15 = 3(a+7)

15 = 3a + 21

-6 = 3a

a = -2

Answer:

(d). ( - 4, 0 )  

Step-by-step explanation:

(a). ( 5 , - 2 ) --- Coordinates do not satisfy both inequality.

(b). ( - 2 , - 8 ) --- Coordinates satisfy y ≤ - 2x - 8, but do not satisfy y ≥ x - 4 .

(c). ( 0 , 0 ) --- Coordinates satisfy y ≥ x - 4, but do not satisfy y ≤ - 2x - 8 .

(d). ( - 4, 0 ) --- The solution of the task.

Answer:

A. The explanation of the rules are;

For the job offer for the Evergreen Landscape, Blake will have 9.75 times by the number of hours worked less the $25 for gas at the end of the week

For the job offer for the Just Jean, Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas at the end of the week

B. The solution to the equations is that the number of hours Blake will work to have the same amount in both Jobs is 6.1538 hours

C. Blake should take the Job at Evergreen Landscape

Step-by-step explanation:

The amount Evergreen Landscape will pay Blake to mow lawn = $9.75

The amount Blake would spend to work per week on gas for work at Evergreen Landscape = $25

The amount Just Jean will pay Blake to work per week as a retail clerk = $6.50

The amount Blake would spend to work per week on gas for work at Just Jean = $5

Whereby, x = The number of hours that Blake will work in a week

y = The amount of money he will have end of the week, if he does not spend any money except gas

A. The given rules are;

y = 9.75·x - 25

y = 6.50·x - 5

For the job offer for the Evergreen Landscape, we have;

y = 9.75·x - 25

Blake has to put aside $25 out of his weekly earnings for gas

Blake will have 9.75 multiplied by the number of hours worked less the $25 for gas

For the job offer for the Just Jean, we have;

y = 6.50·x - 5

Blake will have 6.50 multiplied by the number of hours worked less the $5 for gas

B. The common solution of the both equations is given by equating both values of y as follows;

9.75·x - 25 = 6.50·x - 5

9.75·x - 6.50·x = 25 - 5

3.25·x = 20

x = 20/3.25 = 6.15385

x = 6.15385

The number of hours Blake will work to have the same amount in both Jobs = 6.1538 hours

C. Given that the number of hours Blake can work each week = 15 hours, we have;

For the job offer for the Evergreen Landscape, we have;

y = 9.75 × 15 - 25 = 121.25

The amount of money he will have end of the week = y = $121.5

y = 6.50 × 15 - 5 = 92.5

The amount of money he will have end of the week = y = $92.5

Therefore, given that by working 15 hours a week, Blake earns $121.5 on the Evergreen Landscape job and $92.5 on the Just Jean job, Blake should take the Job at Evergreen Landscape.

Answer:

x = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

4/(x + 1) = 3/(x + 2)

Step 2: Solve for x

Answer:

to solve a proportion, you cross multiply. so you take the numerator of the first one, and multiply it by the denominator of the second one. and then the denominator of the first one is multiplied by the numerator of the second one:

4(x+2)=3(x+1) (set them = and then use the distributive property)

4x+8 = 3x+3 (subtract 3x from both sides)

x +8 = 3 (subtract 8 from both sides)

x= -5  (the answer)

Answer:

a = 8

Bottom and top length are 68

left and right are 28

Step-by-step explanation:

6a + 20 = a + 60 (same length do to the little tick marks)

5a = 40 (subtract 1a from both sides and 20 from both sides)

a = 8 (Divide)

Answer: A = 8

Step-by-step explanation:

Since Side BC and AD are equal

then we can plug both equations to each other to find A

6a + 20 = a + 60

solve it

6a + 20 = a + 60

    - 20        -20

6a = a + 40

-a     -a

5a = 40

a = 8

You can now find the length of all sides :)

Answer:

Yes

Step-by-step explanation:

Since the lines cross over each other, yes, they do bisect each other.

~theLocoCoco

Answer:

The correct answer would be A. I have attached a picture of how to solve it below. Please have a look at it and give the crown.

Answer:

4.3

Step-by-step explanation:

14.3 - 2 × 5² ÷ 5

14.3 -2 ×25÷5

14.3 -2 × 5

14.3 - 10

4.3

Answer:

70

Step-by-step explanation:

180 minus 40 divided by 2

Answer:

Let

Tinky's age=x

Laa's age=x+2

According to the question

[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]

Answer:

the answer is 7

Step-by-step explanation:

2x-y

2*5 - 3

10 - 3

7                                  

Answer:

i cant understand are they at the power of 2

Step-by-step explanation:

Answer:

idrk

Step-by-step explanation:

Answer:

$600

Step-by-step explanation:

because 40 hours at a rate of $15/hours adds up to $600.

(40*15= 600)

Answer: y=3x-5

Step-by-step explanation:

Answer:

false you can put them in however you like

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

A number line is a line which contains numbers marked at intervals (usually regular intervals). Points to the right of the origin are positive numbers while those to the left are negative numbers.

The school is used as the origin. Ellie house is 1 and three fifths blocks east (to the right) of the school. This means that it is + 1 and three fifths (+8/5).

Chase house is 1 and one half blocks (3/2) west of Ellie. Since it is west then it is to the left. Hence the coordinate of chase house = 8/5 - 3/2 = 1/10

Hence the coordinate of chase house is 1/10(one tenths).

The error may be as a result of thinking chase house is to the east of Ellie, hence adding to get  3 and one tenth.

Step-by-step explanation:

x+2=0 x=-2

x^3+3x^2+5x+6

(-2)^3+3(-2)2+5(-2)+6

-8+12-10+6

0

hence x+2 is a factor of x^3+3x^2+5x+6

x+2=0

x=-2

2x+4

2(-2)+4

-4+4

0

also x+2 is a factor of 2x+4

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]

Answer:

50

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

Step-by-step explanation:

1.5cm => 75km

1cm => 75km * (1/1.5) = 50km

Hence the scale of the map is 1cm : 50km.

Answer:

$200

Step-by-step explanation:

Hope this helped you!!

Answer:

60 degrees

Step-by-step explanation:

1. Find angle t. A and T are supplementary angles so both added together should equal 180.  180 - 120 = 60. Angle t is 60 degrees

2. All three angles inside the triangle should add up to 180 degrees. 60 +60 = 120 and 180 - 120 = 60. Angle s is also 60 degrees

Hope this helps and pls mark brainliest.

Answer:

24

Step-by-step explanation:

a2+b2=c2

gimme that brainly

Answer:

4 and -3

Step-by-step explanation:

Answer:

It's the second one. 2/3 and 2/6