ZA and ZB are complementary angles. If m_A= (7x + 28)° and m
ZB = (8x + 2)°, then find the measure of ZA.

Answers

Answer 1

Answer:

mA=56 degrees

Step-by-step explanation:

Complementary angles adds up to 90 degrees. This imply that

[tex](7x+28)+(8x+2)=90[/tex]

From this equation, we can find x:

[tex]15x+30=90\\15x=90-30\\15x=60\\x=\frac{60}{15}\\x= 4[/tex]

Now, we can substitute the value for x into the angle mA:

[tex]mA=(7*4+28)\\mA=(28+28)\\mA=56[/tex]


Related Questions

Which of these is a ratio table?​

Answers

Answer: last one

Step-by-step explanation:

It's the only one with a solid rate of change

The size of the hermit crab’s shell depends on
the size of the crab. Look at the table below. If a 2-inch hermit crab
grows 1 inch per year, use words to describe a rule that will show
how long a 2-inch crab will grow in x years. Write an expression to
find how large this crab will grow in x years.


Length 2 3 4 5 6 7 8 9 10 11 12 ■
Number of Years 0 1 2 3 4 5 6 7 8 9 10 x

Answers

Answer:

i. the length of the of the crab per year is greater than its number of years (x) by 2

ii. length = x + 2

Step-by-step explanation:

i. Given that the size of the hermit crab's shell depends on its size. And it grows 1 inch in a year, then it can be deduced that;

the length of the of the crab per year is greater than its number of years (x) by 2.

ii. To show how large the crab will grow in x years, the required expression that would describe the relationship between the length and years (x) of the crab is:

length = x + 2

lim x → 0, 1, 2,.., x,....

where x is the number of years

Therefore in x years, the length of the crab would be equal to x + 2.

2×2 write the correct answer below

Answers

Answer:

4 :-)))))))) have a wonderful day!

Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?

Answers

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?

Include A.M. or P.M. in your answer.

Answers

Answer:

1:35 pm

Step-by-step explanation:

Given that:

Chicago tour schedule :

Willis tower = 1 hour 10 minutes

Navy piers = 3 hours 10 minutes

Shopping = 1 hour 15 minutes

(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)

Total touring time in Chicago = 4 hours 35 minutes

Dinner time is slated at 5:10 pm

Latest time to start tour :

5:10 pm - 4 hours 35 minutes = 1 :35 pm

Parallel lines have the same slope

Answers

This question is true!

True.

Any and all lines that are parallel share the same slope.

Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters. Scale factor =

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Ed 2020

Dominic is deciding between two different movie streaming sites to subscribe to. Plan A costs $27 per month plus $3 per movie watched. Plan B costs $35 per month plus $1 per movie watched. Let
A
A represent the monthly cost of Plan A if Dominic watches
x
x per month, and let
B
B represent the monthly cost of Plan B if Dominic watches
x
x movies per month. Write an equation for each situation, in terms of
x
,
x, and determine the interval of movies watched,
x
,
x, for which Plan A is cheaper than Plan B

Answers

27+3x < 35+1x
subtract 27 from both sides
3x < 8+ 1x
subtract 1x from both sides
2x < 8
divide by 2
x <4
Plan A is cheaper if less than 4 movies are rented

Andy drove 840 miles in 12 hours. How much miles can he drive per hour?

Answers

Answer:

70

Step-by-step explanation:

840 / 12 = 70

Just divided the miles with the hours

Apollo Spas services 253 hot tubs. If each hot tub needs 115 mL of muriatic acid, how many liters of acid are needed for all of the hot tubs?

Answers

Answer:

29.095

Step-by-step explanation:

115 x 253 = 29095 mL

convert mL to Liters

Just do 29095 divided by 1000

The length of a rectangle is 5cm more than width. Find expression fo the perimeter of the rectangle in terms of the w

Answers

Answer:

Perimeter [tex]=4w+10[/tex]

Step-by-step explanation:

Let [tex]w[/tex] = width of the rectangle.

From the information "length of a rectangle is 5cm more than width", we can write:

Length = [tex]w+5[/tex]

- - - -

Perimeter [tex]= 2l+2w[/tex] (formula for the perimeter of a rectangle)

[tex]=2(w+5)+2w[/tex]

[tex]=2w+10 + 2w[/tex]

[tex]=4w+10[/tex]

∴ The expression of the perimeter of the rectangle in terms of [tex]w[/tex] is [tex]4w+10[/tex].

Hope this helps :)

2. Jill works for Fast Food Inc. and earns $332 per week and is paid bi-weekly. How much is deducted
from her paycheck for Social Security? How much for Medicare?
Social Security Withheld is: $
Medicare Withheld is: $

Answers

Answer:

Social Security: $9.63                                                                                    

Step-by-step explanation:

A $65 video game has a 5% shipping charge. What is the cost of the shipping charge?
PLS HELP FAST!!

Answers

65 * 0.05 = 3.25
The shipping charge is $3.25
shipping would be
$3.25

What is the slope of the line on this graph

Answers

Answer:

In math, slope is used to describe the steepness and direction of lines

Step-by-step explanation:

There are 12 pieces of pie left over in the cafeteria. If 6 pieces are apple and 6 are cherry, what fraction of the remaining pieces are apple? Simplify your answer as much as you can.

Answers

Answer:

1/2

Step-by-step explanation:

Given: FG is an median. What can you conclude?

Answers

Answer:

The last option line DG is congruent to line GE

Step-by-step explanation:

Median: a segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side

So basically G is the midpoint of DE because FG is the median.

The last option, we can conclude that line DG is congruent to line GE

What is median?

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

Median is a line segment whose endpoints are a vertex of a triangle and the midpoint of the opposite side.

We are given that FG is an median.

Thus, basically G becomes the midpoint of DE because FG is the median.

So, DG = GE

Hence,

The last option, we can conclude that line DG is congruent to line GE

Learn more about median;

https://brainly.com/question/17060266

#SPJ2

Need help ASAP it’s due at 12 tonight

Answers

Answer:

quarterly N = 4

semi-annually N = 2

Monthly N = 12

annually N = 1

Step-by-step explanation:

The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:

A = P(1 + r/n)^nt

n = number of times in a year for which the amount is compounded :

Annually : compounding times = 1 = 12 /12

Semi annually (6 months) ; N = 12 /6 = 2

Quarterly ; (3 months) ; N = 12 /3 = 4

Monthly ; (12 months) ; N = 12 / 12 = 1

What is a new denominator

Answers

1/2

1= Numerator
2= Denominator

Express (-3+2i)(-6 - 8i) in a + bi form.

Answers

34+12i your welcome

The a + bi form of the given expression is 34-36i

What is complex numbers?

A complex number is a number of the form a + bi, where a and b are real numbers.

Given is a complex numbers, (-3+2i)(-6 - 8i)

(-3+2i)(-6 - 8i) = 18-24i-12i+16

= 34-36i

Hence, The a + bi form of the given expression is 34-36i

For more references on complex numbers, click;

https://brainly.com/question/20566728

#SPJ2

raj obtained fifty-one per cent score in an exam with 459 marks if ria gets 702 marks in same exam find the percentage obtained by ria

Answers

Answer:

The percentage (score) obtained by Ria is 78%

Step-by-step explanation:

The given percentage Raj obtained in the exam = 51%

The marks Raj obtained = 459 marks

The marks Ria obtained in the same exam = 702

The percentage obtained by Ria is given as follows

Let x represent the total score of the exam, we have;

51% of x = 459

Therefore;

51/100 × x = 459

x = 459 × 100/51 = 900

The total score in the exam = 900

The percentage score obtained by Ria is therefore given as follows;

Ria's percentage score = (Ria's raw score/(The total score of the exam)) × 100 = (702/900) × 100 = 78%

Therefore, the percentage (score) obtained by Ria = 78%.

hi plz help
33 is what percent of 60? part/whole = percent?

Answers

Answer:

36

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

In order to find the percentage of 33 of 60, you can set up the fraction 33/60 to x/100 like below:

[tex]\frac{33}{60} = \frac{x}{100}[/tex]

Now simply solve for x:

60 * x = 33 * 100

60 x = 3300

x = 3300 / 60 = 55

33 is 55% of 60

Find the retail price if original price is $65 and markdown is 12% is it 7.20 or 57

Answers

Answer:

The actual selling price is $58.04 and the markdown is $6.96

Hope this helps :)

Ted likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 959595 minutes. He wants to know how many kilometers (k)(k)left parenthesis, k, right parenthesis he will go if he runs at the same pace for 285285285 minutes.

Answers

Answer:

im looking for the anwser

Step-by-step explanation:

what is 0.94 (m) in (cm)​

Answers

Answer:

the answer is 94cm

Step-by-step explanation:

1m=100cm

0.94m= 0.94×100

= 94cm

Hope it will help you.......

Answer: Convert 0.94 Meters to Centimeter (m to cm) with our conversion calculator and conversion tables. To convert 0.94 m to cm use direct conversion formula below.

0.94 m = 94 cm.

Hope this helps....... Stay safe and have a Merry Christmas!!!!!!! :D

I just want to say that my account got deleted yesterday and i would love if i could get at least 18-25 friends by Christmas.

A cubical water tank is 80cm board.
(i) Find the volume of the tank.
(ii)How many cm.cube of water does it hold?
(iii)If 1000cm.cube = 1 litre,how many litres of water does it hold​

Answers

Answer:

(i) 512,000 cubic cm

(ii) 512,000 cubic cm

(iii) The tank holds 512 liters of water

Step-by-step explanation:

Capacity and Volume

Volume is the amount of space a container or object occupies. Capacity is the amount of matter required to fill the container.

(i)

The cubic tank has a side length of a=80 cm. The volume of a cube is:

[tex]V=a^3[/tex]

[tex]V=80^3[/tex]

[tex]C=512,000\ cm^3[/tex]

(ii)

The tank holds 512,000 cubic cm of water

(iii)

Since 1 liter = 1,000 cubic cm, the tank holds 512,000/1,000 = 512 liters of water.

Find the surface area for the triangular prism below. Whoever answers right the quickest will get brainliest. PLEASE HELP QUICKLY!!!

Answers

Answer:

To answer your question use the code ICE on here to get your answer works every time for me hope this helps

What is the equation of the line that passes through the points (0,-7) and (5,-1) put your answer in fully reduced form

Answers

Answer:

the answer is y=6/5x-7

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-7)/5-0

m=6/5

y-y=m(x-x¹)

y-(-1)=6/5(x-5)

y+1=6/5x-6

-1 -1

y=6/5x-7

Parallelogram P was dilated to form parallelogram P prime.

Parallelogram P has side lengths of 10 and x + 3. Parallelogram P prime has side lengths of 20 and 8.

What is the value of x? (Figures not drawn to scale.)

Answers

Answer:

x = 1 is the correct answer of this question plz mark my answer as brainlist plzzzz vote me also .....

Answer:

1 is the answer

Step-by-step explanation:

got a 100% on my test

PLEASEE HELP ME!!!!!!!!!!!

Answers

Answer:

26%

Step-by-step explanation:

13/50=0.26

0.26x100=26%

Please help answer the first 5 boxes for brainslt

> for brainslt

Answers

Step-by-step explanation:

5 points is too small for this..

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