Angle A and Angle B are complementary angles. If angle B is five degrees more than four times angle A, find the measure of each angle.

Answers

Answer 1

Answer:

Angle A = 17°, Angle B = 73°

Step-by-step explanation:

Angle A & Angle B are complementary angles (given) so they will form 90°.

Let's take,

Angle A = x

Angle B = 4x +5 (angle B is five degrees more than four times angle A)

Measure of each angle=?

Angle A + Angle B = 90°

x + 4x + 5 = 90

5x + 5 = 90

5x = 90 - 5

5x = 85

x = 85 ÷ 5

x = 17°

Angle A = x = 17°

Angle B = 4x + 5 = 4(17) + 5 = 68 + 5 = 73°

°°°°°°°°°°°°°°°°°°


Related Questions

HELP MEEE PLSSSS CHOOSE IF YOU ARE GOING TO HELP POEASE CHOOSE TWO

Answers

Answer:

C) 12(5-3w) and A) 6(10-6w)

Step-by-step explanation:

60-36w=12(5-3w)

60-36w = 60+ -36w

Answer:C

Step-by-step explanation:

Use the diagram to fill in the blanks
x=
m∠=

Answers

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

help please thanks plsss

Answers

Answer:

A

area = 256 inches²

side = √256 = 16 inches

B

0.0063 inch = 6.3 × 10^-3

What is the sum of the interior angle measures of a polygon that has eleven sides ? Hint :Sum = (n-2)180

Answers

Answer:

n=11

Step-by-step explanation:

(11-2) 180

9×180=1620

Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!

Answers

Step-by-step explanation:

3x+11=57

subtract 11 from both sides and you will get this

3x=46

Divide by 3

42/3. 3/3

X=14

Answer:

15.333

Step-by-step explanation:

3x+11=57(y)

reverse the question

so:

57-11=46

46 divided by 3=15.333

so x=15.333

hope that helps

thank you

19NBoli

What kind of shape is this?
A. Pentagon
B. Quadrilateral
C. Triangle
D. Hexagon

Answers

Answer: A pentagon
Explanation: 5 sides

what is 500 / 60 x 70

Answers

Answer:

583.3

Step-by-step explanation:

Sum the following numbers then divide by 5
( 3 + 5 + 6 + 2 + 4 ) /5 } = ? What is your answer ?

Answers

Answer:

4

Step-by-step explanation:

(3+5+6+2+4) / 5 = ?

(20) / 5 = 4

These students that fail a single time, will withdraw (drop) from the program the month following their failure; ex. J. Doe fails Month 3, J. Doe withdraws before the start of Month 4.

Answers

pacencia la need pontus kamnksnbxjxjjxjxndndnxjxjnvjsbgjsiw


9) Choose all expressions that are equivalent to 3x + 6 (Use
Algebra tiles if needed)
a) -2x - 4 + 5x + 10
b) 3(x + 6)
c) x + 4 - 2x + 2
d) 3(x + 2)

Answers

Answer:

3(x+2)

Step-by-step explanation:

3x+6

Factor out 3.

3(x+2)

Which of these are statistical questions? Select all that apply.

A. Do you walk or get a ride to school?
B. How many text messages do you send during one week
C. How many months away is your birthday
D. Do you live within three blocks of the school?
E. Do you like sports?

Answers

Most likely a, c, and e are statistical questions

Answer:

                                                           

Step-by-step explanation:

10 divied by 1 half of 3

Answers

Answer: 6.66 repeated

Step-by-step explanation:

10 divided by 1.5 will give you 6.66 repeated

Answer:

1/3 divied by 10 =1/30

1/3 divided by 10= 0.333333

Step-by-step explanation:

decimal form is o.3333333

fraction form is 1/30

have a good day /night

may i please have a branllist

help please triangles and trig

Answers

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Which of the following ratios are equivalent?
O A. 5:7 and 10:12
O B. 2:3 and 12:20
O C. 6:7 and 18:21
O D. 8:9 and 32:27

Answers

Answer:

:::::::::

C. 6:7 = 18:21

answer: it is C

Step-by-step explanation:

6 = 18 because 6 times 3 is 18. And 7 times 3 = 21. so they are both equivalent.

hope it helps :)

what is 1 1/3 as a single fraction

Answers

Answer:

Step-by-step explanation:

The mixed number 1 1/3 is equal to the improper fraction 4/3.

Answer:

4/3

explanation:

Which of these are line(s) of symmetry?
A. Neither line
B. Only the solid line
C. Only the dashed line
OD. Both lines

Answers

Answer:

d:both lines

Step-by-step explanation:

.........

Jackson invested $81,000 in an account paying an interest rate of 6\tfrac{1}{2}6
2
1

% compounded monthly. Angel invested $81,000 in an account paying an interest rate of 7\tfrac{1}{8}7
8
1

% compounded quarterly. After 16 years, how much more money would Angel have in his account than Jackson, to the nearest dollar?

Answers

Answer:22215

Step-by-step explanation: got it from delta math

After 16 years Angel would have amount $22942 more money in his account than Jackson.

What is compound interest?

Compound interest is the interest you earn on interest. Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

For the given situation,

Investment of Jackson, p = $81000

Rate of interest, r = 6 1/2%

⇒ [tex]6.5\% = 0.065[/tex]

Interest is compounded monthly, so n = 12

Number of years, T = 16

Investment of Angel, p = $81000

Rate of interest, r = 7 1/8%

⇒ [tex]7.125\% = 0.07125[/tex]

Interest is compounded quarterly, so n = 4

Number of years, T = 16

The formula of amount in compound interest is

[tex]A=p(1+\frac{r}{n} )^{nT}[/tex]

Jackson's amount after 16 years,

⇒ [tex]A=81000(1+\frac{0.065}{12} )^{(12)(16)}[/tex]

⇒ [tex]A=81000(\frac{12.065}{12} )^{192}[/tex]

⇒ [tex]A=81000(1.0054)^{192}[/tex]

⇒ [tex]A=81000(2.8123)[/tex]

⇒ [tex]A=227798.13[/tex]

Angel's amount after 16 years,

⇒ [tex]A=81000(1+\frac{0.07125}{4} )^{(4)(16)}[/tex]

⇒ [tex]A=81000(\frac{4.07125}{4} )^{64}[/tex]

⇒ [tex]A=81000(1.0178)^{64}[/tex]

⇒ [tex]A=81000(3.0955)[/tex]

⇒ [tex]A=250739.62[/tex]

After 16 years, how much more money would Angel have in his account than Jackson is

⇒ [tex]250739.62-227798.13[/tex]

⇒ [tex]22941.49[/tex] ≈ [tex]22942[/tex]

Hence we can conclude that after 16 years Angel would have $22942 more money in his account than Jackson.

Learn more about compound interest here

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Write a rule for the translation.
A) (x-1, y+2)
B) (x-2, y+1)
C) (x+2, y-1)
D) (x+1, y-2)

Answers

Answer: b
Explanation: to get to point c (pink) to the other point c (blue) you need to go back 2 spaces which will makes it negative and go up one space which is positive.

What is the formula of the surface area solved for r?

Answers

D

This is the best answer for this question

Answer:

Option C

Step-by-step explanation:

It is the correct answer I explained in your next question

AABC is dilated by a factor of į to produce AA'B'C!
37
12
15
53
9
с
What is AC, the length of AC after the dilation? What is the measure of ZA?
A. A'C' = 5, m ZA= 12
O B. A'C' = 5, mZA'= 37°
O C. A'C' = 45, m A'= 37°
D. A'C' = 4, mZA'= 53°

Answers

Answer:

A'C = 45, m A' = 37

Step-by-step explanation:

You find the 45 by multiplying 15, the length of A'C by 3 to find the original size.

PLEASE HELP ME THE QUESTION IS ON THE PICTURE!!!!!

Answers

I know for a fact one of them is C

But not sure about the rest, sorry

Sheila had one gallon of milk. She used gallon of milk to make ice cream. She used another gallon of milk to make cookie dough. How much of a gallon of milk does Sheila have left?

Answers

Answer:

Step-by-step explanation:

we know that

1) Sheila had 1 gallon of milk

2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left

3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24

14/24-----> 7/12 gallon

please help im stuck on this​

Answers

Answer

The slope is 2

Step-by-step explanation:

The Wiggins Family ate dinner at a restaurant. The total cost of the meal was $85.60. The family left a 15% tip for the waiter. How much money was the total bill? (Make sure you type your answer using $ and the decimal)

Fast please

Answers

Answer:

$98.44

Step-by-step explanation:

You already know how much the actual dinner was so all you have to do is figure out how much 15% of the $85.60 is which is $12.84 meaning that they left a tip of $12.84 for the waiter. Then you would just add the cost of the dinner with the tip to get the total amount they spent. $85.60 + $12.84 = $98.44. So the total amount the Wiggins spent is $98.44

Which angle is EDF.

Answers

Answer:

d

Step-by-step explanation:

When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
value.

Answers

Answer:

Its normal value would be 50 beats per minute.

Step-by-step explanation:

20% = 10bpm

40% = 20bpm

60% = 30bpm

80% = 40bpm

100% = 50bpm

molly makes 5 gallons of soup in a pot then she fills bowls that each hold 1/16 gallon of soup until the pot is empty how many bowls did she fill completely

Answers

Answer: 80 cowls

Step-by-step explanation:

5/(1/16)

5.3d = 42.4

pls help​

Answers

Answer:

Step-by-step explanation:

Divide both sides by 5.3 and you get d = 8. You can use a calculator for this or just do division by hand.

write the sum 3+3+3+3+3+3 using sigma notation ​

Answers

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

What is sigma notation?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

To know more about sigma notation here:

https://brainly.com/question/16701078

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What is the solution of x+15(x−1)=1?

Answers

The correct answer is C

Answer:

1

Step-by-step explanation:

for solve the bracket we have to multiply 1/5 for x and for -1

x+1/5x-1/5 = 1

now we have to multiply the two members of the equation by 5

5(x+1/5x-1/5) = 5

5x + x - 1 = 5

now we have to sum 1 at both members

5x + x -1+1 = 5+1

6x = 6

at least we have to divide the two members by 6

x = 1 that is the solution of the equation

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