In the figure, m∠2=55⁰ and m∠4=85⁰ . Find the measures of ∠1 and ∠3 .

Answer:

m<ADE = 59°

Step-by-step explanation:

Each angle of a rectangle = 90°

Therefore:

m<ABE + m<CBE = 90°

(4x + 15)° + (13x + 7)° = 90°

Solve for x

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 90 - 22

17x = 68

x = 68/17

x = 4

✔️Opposite sides (AB and DC) of the rectangle are parallel, therefore:

m<ADE = m<CBE

m<ADE = (13x + 7)° (Substitution)

Plug in the value of x

m<ADE = 13(4) + 7

m<ADE = 52 + 7

m<ADE = 59°

Answer:

1. y=2

2. y= - 2

Step-by-step explanation:

Thats my answer hope it helps

Answer:

the solution is : (2 , 3)

Step-by-step explanation:

hello :  here is an solution

3x + 2y=12.....(*)

y=2x -1​.....(**)

put the value for y  in (*) :

3x + 2(2x-1)=12

3x+4x-2 = 12

7x =14

so : x =2

but : y=2x -1

y =2(2)-1 = 3

the solution is : (2 , 3)

Answer: 15

Step-by-step explanation:

The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15

The radius of the inflated beach ball is equal to 58 inches.

Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.

Given: The volume of the sphere is 14,310 inches³

we know the volume of the sphere is  4/3 πr³

Thus equating we get

4/3 × 3.14×r³=14310

r³=3417.99

r³=3418

r=58.463 or 58 (approx)

Learn more about sphere here:

https://brainly.com/question/2855746

#SPJ6

Step-by-step explanation:

i think the answer is C

Answer:

A trust can protect your assets for the next generation. However, if you have debt, the trust will not necessarily protect assets from creditors. If you or your beneficiaries file for bankruptcy, for example, the trust could be seized for repayment of debts.

Answer:

c

Step-by-step explanation:

standard form is y=mx+b

Answer:

x ≈ 14.6

Step-by-step explanation:

Using the sine ratio in the right triangle

sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )

17 × sin59° = x , then

x ≈ 14.6 ( to 1 dec. place )

Answer:

74,650

Step-by-step explanation:

270 times 400 and 125 times 400 - 83,350 = 74,650

Answer:

82 notes

Step-by-step explanation:

The computation is shown below:

Given that

£1= 18.53 rand

and since Linz has £850 so he would get the equivalent of

= $890 ×  18.53

= 16,491.7 rands

Now he wants the 200 rand notes so we considered it as the  highest note

So, the greatest no of 200 notes would be

= 16,491.7 ÷ 200

= 82.45

= 82 notes

Answer:

1 1/5 miles or 1/2 miles

Step-by-step explanation:

1/5 x 6 = 6/5 = 1 1/5 or 1/2 miles

Answer:

SA = 997.88 mm²

Step-by-step explanation:

height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36

height = √243.36 = 15.6

SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)

SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²

Answer:

Step-by-step explanation:

since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore  ∠2 ≈ ∠3

:)

[tex] \huge{\mathbb{{ANSWERS}}}[/tex]

1.) 8x³ + 1

2.) 27a³ + b³

3.) 8x³ + 1,000

Note: My anwer is base on my knowledge

Hopefully Help:)

_MafiaQueen4

Answer:

4

Step-by-step explanation:

ration of rectangle ABCD to EFGH=> 24 : 12=> 2 : 1

2 : 1 = 8 : FG

=> FG = 4

Answer:

180- 20

Step-by-step explanation:

A straight line is 180 therefore the piece that is cut off has to be subtracted from 180. 20 is the cut off piece. 180-20= 160

Answer:bellow hope I helped most likely c

Step-by-step explanation:

If 2% per year

480 x 1.02 = 489.6 first year

489.6 x 1.02= 499.392. Second year

499.392 x 1.02 = 509.37984 third year

If 2 % per all 3 years

480 x 1.02 = 489.6 all 3 years

If 2 % per each month

480 x 1.02 = 489.6 first month

489.6 x 1.02 = 499.392 second month

499.392 x 1.02 = 509.37984 third month

509.37984 x1.02 = 519.5674368 forth month

519.5674368 x1.02 =529.958785536 fifth month

529.958785536 x 1.02 =540.5579612467 sixth month

540.5579612467 x 1.02 = 551.3691204716 seventh month

551.3691204716 x 1.02 =562.396502881 eigth month

562.396502881xl x1.02 = 573.6444329386 nineth month

573.6444329386 x 1.02 =

585.1173215974 tenth month

585.1173215974 x 1.02= 596.8196680293 11th month

596.8196680293 x 1.02=608.7560613899 12 months (1 year)

608.7560613899 x1.02 = 620.9311826177 1st month 2nd year

620.9311826177 x 1.02= 633.3498062701 2nd month 2nd year

633.3498062701 x 1.02 = 646.0168023955 3rd month 2nd year

646.0168023955 x 1.02 =658.9371384434 4th month 2nd year

658.9371384434 x 1.02= 672.1158812123 5th month 2nd year

672.1158812123 x1.02 = 685.5581988365 6th month 2nd year

685.5581988365 x 1.02 =699.2693628132 7 th month 2nd year

699.2693628132 x1.02 =713.2547500695 8th month 2nd year

713.2547500695 x 1.02 =727.5198450709 9th Month 2nd year

727.5198450709 x 1.02 =742.0702419723 10th Month 2nd year

742.0702419723 x 1.02 =756.9116468117 11 th month 2nd year

756.9116468117 x 1.02 = 772.0498797479 12th month 2nd year (2 years)

772.0498797479 x 1.02 = 787.4908773429 1st month 3rd year

787.4908773429 x 1.02 =803.2406948898 2nd month 3rd year

803.2406948898 x 1.02 = 819.3055087876 3rd month 3rd year

819.3055087876 x 1.02 = 835.6916189634 4th month 3rd year

835.6916189634 x 1.02 =852.4054513427 5th month 3rd year

852.4054513427 x1.02 = 869.4535603696 6th month 3rd year

869.4535603696 x 1.02 =886.842631577 7th month 3rd year

886.842631577 x 1.02= 904.5794842085 8th month 3rd year

904.5794842085 x 1.02 = 922.6710738927 9th month 3rd year

922.6710738927 x 1.02 = 941.1244953706 10th month 3rd year

941.1244953706 x1.02 = 959.946985278 11th month 3rd year

959.946985278 x 1.02 =979.1459249836 12th month 3rd year (3 years)

Answer:

The volume of the cylinder is 367.6 M^3

Step-by-step explanation:

Mathematically, we have the volume of a cylinder calculated as follows;

V = pi * r^2 * h

r is the base radius given as 3 m

h is the height given as 13 m

So, we have the volume as;

V = 22/7 * 3^2 * 13 = 367.6 M^3

Answer:

367.6 m³

Step-by-step explanation:

h=13       r=3                              identify variables

V= πr² h                                  use volume of a cylinder formula

V=π(3)²(13)                            substitute variables into formula

V= 367.56634047                   multiply

V=367.6 m³                            round to the nearest tenths place

Answer:

x=5

Step-by-step explanation:

5-3=2

9514 1404 393

Answer:

Step-by-step explanation:

The coefficient is the initial amount: $15.35.

The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.

Answer:

960 minutes

Step-by-step explanation:

If there are 24 hours a day with 60 minutes then there are 1440 hours a day.

There 16 hours multiplied by 60 minutes will give you your answer! [tex]16*60=960[/tex]

it is 690 minutes per 16 hours

Answer:

39.52

Step-by-step explanation:

just multiply 3.8 by 104 and thats how many liters

Answer:

c

Step-by-step explanation:

its c , absolutely.............

Answer:

C * 180 = 4x + 107

Step-by-step explanation:If you add all sides by each other all you would do next is add the 4x to get your 180

Answer:

A.

Step-by-step explanation:

Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!