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3 years ago

The two rectangles shown below have the same

Mathematics

1 answer:

kati45 [8]3 years ago

7 0

9514 1404 393

Answer:

x = 3
length = 9
width = 3

Step-by-step explanation:

The sum of length and width is half the perimeter. If the perimeter is the same, so will be the sum of length and width:

7 + 5 = x + (4x -3)

15 = 5x . . . . . . . add 3, simplify

3 = x

The value of x is 3.

The length of Rectangle B is 4(3)-3 = 9 inches.

The width of Rectangle B is 3 inches.

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The zookeeper starts with 100.75 pounds of food and tracks how much the otter eats and any food deliveries. What is the food sup

Airida [17]

Answer:

Part A

Eagle = 6 lbs * 60%

= 6 * 0.6

= 3.6 pounds

Bear = 105 lbs * 25%

= 105 * 0.25

= 26.25 pounds

3.6 + 26.25 = 29.85 pounds

Part B

Percent Increase = Change/Original * 100

= 10/105 * 100

= 9.52%

Step-by-step explanation:

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8 0

3 years ago

13. Estimate how much money Jonah will make in an 8hr work day if he makes $7.59 per hour but 10% must go to taxes. Please show

attashe74 [19]

The hourly rate of $7.59 per hour multiplied by hours gives the gross wages earned. If 10% are taken for taxes then 90% are take home wages.

(0.9)*(8 hr/day) * (7.59 $/hr ) = 54.65 $/day take home pay

7 0

3 years ago

Read 2 more answers

A large disaster cleaning company estimates that 30 percent of the jobs it bids on are finished within the bid time. Looking at

aleksklad [387]

Answer: 2.4

Step-by-step explanation:

Given : A large disaster cleaning company estimates that 30 percent of the jobs it bids on are finished within the bid time.

i..e The proportion of the jobs it bids on are finished within the bid time: p = 30%= 0.30

Sample size of jobs that it has contracted : n= 8

Then , the mean number of jobs completed within the bid time : $\mu=np$

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Hence, the mean number of jobs completed within the bid time is 2.4 .

5 0

4 years ago

What’s the answers?...

tia_tia [17]

Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Further explanation:

When two triangles are congruent, then their respective sides will also be congruent or equal

As it is given that

ΔABC≅ΔDFE

Which means that

EF = BC

ED=AC

FD=AB

Now,

$EF=BC\\Putting\ the\ values\\x+15=2x+5\\x-2x=5-15\\-x=-10\\x=10\\AND\\FD=AB\\Putting\ the\ values\\4y=8y-20\\4y-8y=-20\\-4y=-20\\\frac{-4y}{-4}=\frac{-20}{-4}\\y=5\\AND\\ED=AC\\10z-5=3z+9\\10z-3z=9+5\\7z=14\\\frac{7z}{7}=\frac{14}{7}\\z=2$

Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Keywords: Similar triangles, Congruent Triangles

Learn more about congruent triangles at:

#LearnwithBrainly

7 0

4 years ago

How can I solve this:

Fynjy0 [20]

Hey !

The Sum of Roots is -6

Manipulate the Equation to Get :

$(3a + 6) {x}^{2} + (2a - 4)x + (a + 4) = 0$

Now, by Viete,

$- 6 = \frac{(4 - 2a)}{(3a + 6)}$

$18a + 36 = 2a - 4$

$16a = - 40$

$= > a = \frac{ - 5}{2} = - 2.5$

4 0

4 years ago