A group of friends is sharing 212 pounds of berries. If each friend received 54 of a pound of berries, how many friends are sharing the berries? If 5 friends are sharing the berries, how many pounds of berries does each friend receive?

Answer:

[tex]m\angle ABE=52^\circ[/tex]

Step-by-step explanation:

Angles and Lines

The figure shows a kite ABCD where the following data is given:

[tex]m\BAE=28^\circ[/tex]

[tex]m\BCE=58^\circ[/tex]

We also know

[tex]BC\cong CD[/tex]

[tex]AB\cong AD[/tex]

Since triangle BCD is isosceles, it follows that:

[tex]m\angle CBE=m\angle CDE[/tex]

And triangles BCD and DCE are congruent.

Thus:

[tex]m\angle BCE=m\angle DCE=58^\circ[/tex]

And also:

[tex]m\angle BCE=58^\circ+58^\circ=116^\circ[/tex]

Since the sum of internal angles of BCD is 180°

[tex]m\angle CDE=m\angle CBE= ( 180 - 116 ) / 2=32^\circ[/tex]

The sum of angles of triangle CDE is 180°, thus

[tex]m\angle CED=180^\circ - 32^\circ - 58^\circ = 90^\circ[/tex]

Angles CED and BEA are vertical (opposite), thus:

[tex]m\angle BCE=m\angle CED= 90^\circ[/tex]

Finally, since the sum of the angles of triangle ABE is 180°

[tex]m\angle ABE= 180 - 90 - m\angle BAE[/tex]

[tex]m\angle ABE= 180^\circ - 90^\circ - 28^\circ = 52^\circ[/tex]

[tex]\mathbf{m\angle ABE=52^\circ}[/tex]

Answer:

5/8m - 3/8

Step-by-step explanation:

1/4 m + 3/4 m - 3/8m - 3/8

to combine m’s, change 1/4 to 2/8. And 3/4 to 6/8.

2/8 m + 6/8m - 3/8 m - 3/8

2/8+ 6/8- 3/8= 5/8

5/8m - 3/8

Answer:

mAngle1 + mAngle2 = 180°

Step-by-step explanation:

This is the answer hope it helps

if u had a picture i could give further details

Hope this helped

Answer:

What if I told you I guessed

Step-by-step explanation:

but submitted and got it correct

...

Answer: You and your friends spent $8.35 for tips.

Step-by-step explanation:

Answer:

It is C. 3

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

no cycling for thatc long would cause you to be tired and will slow you down my personal opinon it would be 7 hours

Answer:

[tex]Area =\frac{10x + 15}{2}[/tex] in both cases

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have the following given parameters

Green Section: Dimension: x by 2

Orange Section: Dimension: 2 by [tex]1\frac{1}{2}[/tex]

Purple Section: Dimension: 3 by (x + [tex]1\frac{1}{2}[/tex])

Solving (a): Area of the flag as a sum of each section

We simply calculate the area of each section.

[tex]Area = Length * Width[/tex]

For the green section;

[tex]Area = x * 2[/tex]

[tex]Area = 2x[/tex]

For the orange section

[tex]Area = 2 * 1\frac{1}{2}[/tex]

[tex]Area = 3[/tex]

For the purple section

[tex]Area = 3 * (x + 1\frac{1}{2})[/tex]

[tex]Area = 3 * (x + \frac{3}{2})[/tex]

[tex]Area = 3x + \frac{9}{2}[/tex]

Total Area = Sum of the above areas

[tex]Area = 2x + 3 + 3x + \frac{9}{2}[/tex]

Collect Like Terms

[tex]Area = 2x + 3x+ 3 + \frac{9}{2}\\[/tex]

[tex]Area = 5x+ \frac{6+9}{2}[/tex]

[tex]Area = 5x+ \frac{15}{2}[/tex]

[tex]Area =\frac{10x + 15}{2}[/tex]

Solving (b): Area of the flag as a product

From the attachment,

[tex]Length = 2 + 3[/tex]

[tex]Length = 5[/tex]

[tex]Width = x + 1\frac{1}{2}[/tex]

[tex]Area = Length * Width[/tex]

[tex]Area = 5(x + 1\frac{1}{2})[/tex]

[tex]Area = 5(x + \frac{3}{2})[/tex]

[tex]Area = 5x + \frac{15}{2}[/tex]

Take LCM

[tex]Area = \frac{10x + 15}{2}[/tex]

Answer:

FIRST OPTION

-1, 1 1/2, 2, 3, 3.5

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

25 times 25 =625

Answer:

25

Step-by-step explanation:

for questions like these it is best to use a calculator

if you use a TI 84 calculator then press the blue button that says "2nd" and

then on that same column there will be a button that says [tex]x^{2}[/tex]

press these buttons then enter the number that you want to find the square root of

then press "enter" and your answer will be there

Answer:

slope = -5

Step-by-step explanation:

y = mx + b

m = slope

In this case m = -5

Answer:

It will take 32/24, or 1 1/3 days, for 24 men to get the job done.

Step-by-step explanation:

Answer:

a = -4

a = 3

Step-by-step explanation:

Hope that helps

Answer:

The left side  1/3  does not equal to the right side  1 , which means that the given statement is false.

Answer:huh okay me

Step-by-step explanation:

Answer:

Hm?

Step-by-step explanation:

#teamtrees #WAP (Water And Plant)

Answer:

32x - 96

Step-by-step explanation:

Apply the distributed property:

I hope this helps!

Answer:

95.40

Step-by-step explanation:

first u do 10% and that is 47.7

then 20% is 47.7 times 2 and that is 95.40

Answer:

[tex]\huge\boxed{\sf \$ \ 95.4}[/tex]

Step-by-step explanation:

Commission = 20 % of $477

[tex]\sf = \frac{20}{100} * \$ \ 477\\\\= 0.2 * \$ \ 477\\\\= \$ \ 95.4\\\\He \ got \ a \ commission \ of \ \$ \ 95.4\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

The formula for the perimeter of a rectangle is P = 2l + 2w

Step-by-step explanation:

Step-by-step explanation:

2 (l + b)

yes this may help you this is formula of perimeter

Answer:

for every one cat there are 4 dogs

Step-by-step explanation:

11 : 44

11÷1 : 44÷11

1 : 4

Answer:

The estimated total to the nearest dollar is $31, so he cannot afford both items.

Step-by-step explanation:

10.58 rounded is 11

19.50 rounded is 20

11+20=31

Answer:

I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo

that would equal 31.00, and he only has 30.00 to spend.

So I would say D.

Step-by-step explanation:

Answer:

y = 3

Step-by-step explanation:

The equation of a line is;

y = mx + c

Now, when f(0) = 3, it means at x = 0, y = 3.

Thus;

3 = 0 + c

3 = c

Also, f(−6) = 3

Thus;

3 = -6m + 3

6m = 3 - 3

6m = 0

m = 0/6

m = 0

Thus,equation is;

y = c

y = 3

Answer:

[tex]6\sqrt{30}[/tex]

Step-by-step explanation:

Answer:

A) True , B) True , C) False

Step-by-step explanation:

A) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

B) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

C) False : Null Hypothesis can be accepted, despite of being actually false. This is called Type 2 Error.

Answer:

B

i think i need 20 words so B

Answer:

B

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Answer:

top one

Step-by-step explanation:

Answer: It's B.

Step-by-step explanation: this is 1st grade math. good luck!

Answer:

Step-by-step explanation:

the probability of a die showing an even number is 3/6 i.e, 1/2. for one role the probability of getting an even number is 1/2, therfore for a thousand role = 1000 x 1/2 = 500 times.

Answer:

400

Step-by-step explanation:

Answer:

the first tree is 5ft and the second one is 6ft

Step-by-step explanation: