- ZA and B are complementary angles. If mA = (x + 28)° and m ZB = (4x - 8), then find the measure of ZA.​

Answers

Answer 1

Answer:

42 degrees

Step-by-step explanation:

"Complementary" means the angle measures add up to 90 degrees.

[tex]m\angle A+m\angle B =90^\circ\\(x+28)+(4x-8)=90\\5x+20=90\\5x=70\\x=14[/tex]

Now plug in 14 for x in the expression for the measure of angle A.

[tex]m\angle A = 14^\circ+28^\circ =42^\circ[/tex]


Related Questions

PLEASE HELPPPP!!!!!!

Answers

Step-by-step explanation:

y=kx

say that y is the original prince and x is the sale price

15=k(10)

15/10=k

3/2=k

you can check with the next problem to check if it is the same

25=k(20)

25/20=k

5/4=k

so you take 5/4-3/2=-1/4 so the constant is -1/4

Hope that helps :)


Help please
Help please
Help please
Help please


Answers

Given:

The four table of values.

To find:

The table whose linear function has slope 2.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from each table and find the slope for each table.

For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:

[tex]m=\dfrac{-1-1}{6-2}[/tex]

[tex]m=\dfrac{-2}{4}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-8}{2-0}[/tex]

[tex]m=\dfrac{-4}{2}[/tex]

[tex]m=2[/tex]

For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:

[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]

[tex]m=\dfrac{1}{-2+4}[/tex]

[tex]m=\dfrac{1}{2}[/tex]

For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-0}{0-(-2)}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

Table 4 is the only table that represents a linear function whose slope is 2.

Therefore, the correct option is 4, Table 4.

The length of A rectangle is 10 cm less than its width what are the dimensions of the rectangle if its area is 96 cm²

Answers

Length: 6 cm
Width: 16 cm

PLS HELPPPP ITS PROB EASY BUT I HAVE SO MANY LATE WORK TO DO:)))

Answers

Answer:

It’s C

Step-by-step explanation:

The diameter of a circle is 2 inches. What is the circle's circumference? d=2 in

Answers

Answer:

2π or 6.2831 (I don't know which since I don't know what to round to or if it is supposed to be in terms of π soooo)

Step-by-step explanation:

[tex]2\pi(1) = 2\pi = 6.2831[/tex]

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520

Answers

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

HELPPP PLEASE I NEED AN ANSWER

Answers

Answer:

C

Step-by-step explanation:

Based on this chart, what is the marginal cost, in dollars, to produce four jackets?
12
13
55
68

Answers

i believe the answer is 13, sorry if it is wrong

Please help lol I will give Brainleist or however you spell it

Answers

angle A is equal to 85 degrees

I need help with this work pls help me

Answers

Can I see more photos of the problem?

Answer:

1)C

2)H

3)G

4)can see it cause the graph is blocked in the picture

5)Z

Step-by-step explanation:

In March, an American tourist changed US $1000 into Jamaican currency. Calculate the amount of JM dollars he received. USD $1.00 = JMD $146
a. $0.146
b. $146,000
c. 104,600
d. 150,000

Answers

Answer:

B. 146,000

Step-by-step explanation:

What is AC? Please help me with this problem fast

Answers

Answer:

37

Step-by-step explanation:

Pythagorean theorem

Answer: 37 (side AB)

Step-by-step explanation:

For this question you would have to use Pythagoras' theorem. Pythagoras' theorem states that c²=a²+b².

so when you put the numbers in the formula you get c²=12²+35²

12²=144

35²=1225

c²=144+1225

c²=1369

Then because you want c on it's own you square root 1369.

c=√1369

c=37

Hope this helps :)

Jeff drew a circle inside a square, as shown below.
Which method can Jeff use to find the area of the
square not covered by the circle?

Answers

Answer:

3.14

Step-by-step explanation:

Answer:

Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square

If the radius is (r) so the area is

A = d * d

What would be the volume of a sphere if the radius is 6 in? Round to nearest tenth if needed

Answers

Answer:

904.8cm

Step-by-step explanation:

The volume of a sphere is given as

[tex] \frac{4}{3}\pi {r}^{2} [/tex]

There is only one variable, the radius, which we are given in the problem.

since the radius is 6 cm, we can plug that in to the formula

[tex] \frac{4}{3} \pi {6}^{2} [/tex]

Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.

what is the simplified ratio of 6:4 please explain step by step​

Answers

Answer:

3:2

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

6 and 4 can be both divided by 2

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

I know from the answer key that the answers are x=
[tex]3 \sqrt{10} [/tex]
and y=
[tex]2 \sqrt{10} [/tex]
but I'm not sure how to get there...​

Answers

Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5

can you please help me?

Answers

Answer:

option 3 is the answer because it has given

the common factor of 6x 66xy​

Answers

Answer:

6x and 1x or x

Step-by-step explanation:

the highest common factor of 6x and 66xy in 6x

6x ÷ 6x = 1

66xy ÷ 6x = 11y

the lowest common factor of 6x and 66xy is 1x or x

6x÷ 1x =6

66xy÷ 1x = 66y

6x÷ x = 6

66xy ÷ x = 66y

NOTE

1x and x is the same

Suppose you know the minimum, lower quartile, median, upper quartile, and maximum values for a set of data. Explain how to create a box plot for the data set.
NO LiNKS OR BE REPORTED

Answers

Answer:

For some sets of data, some of the largest value, smallest value

, first quartile, median, and third quartile may be the same. For instance, you might have a data set in which the median and the third quartile are the same. In this case, the diagram would not have a dotted line inside the box displaying the median. The right side of the box would display both the third quartile and the median. For example, if the smallest value and the first quartile were both one, the median and the third quartile were both five, and the largest value was seven, the box plot would look like:

In this case, at least

25

25

% of the values are equal to one. Twenty-five percent of the values are between one and five, inclusive. At least

25

25

% of the values are equal to five. The top

25

25

% of the values fall between five and seven, inclusive.

Answer:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

Step-by-step explanation:

First, create a scale that includes all the numbers- that being, you can plot both the minimum and maximum values on it.

Next, draw a line of a set height (I tend to use 2 squares in my work) where the median is. Next, draw similar lines, at the same height, for the rest of the values- both quartiles and the maximum values. You can obviously do this in whatever order you like, but that's how I do it.

Next, join up the tops and bottoms of the quartiles, with the median in the middle, and connect the middles of the quartiles to their corresponding minimum or maximum values.

Voila, my friend. You have a box plot.

The line plot shows the result of a survey asking students how many hours they spent reading last week.
How many students spent 5 or more hours reading?

Line plot named as ALTDCTime Spent Reading Last WeekALTDC shows a number line from 1 to 9. The number line is divided into 8 equal parts. 3 dots on 3, 1 dot on 4, 2 dots on 5, 3 dots on 6, 1 dot on 7 and 2 dots on 8 are given.
A. 8
B. 2
C. 6
D. 4

Answers

Answer:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

Step-by-step explanation:

Answer: B

its B because the line shows how much 5 were there and there was 2 dots

PLEASE HELP NOW
Solve the equation, then choose the correct answer:
-4(8 + 3y ) = 112

Answers

Answer:

y = -12

Step-by-step explanation:

-4 (8+3y) = 112

-32 -12y = 112

-12y = 144

y = -12

Answer:

-4(8+3y)=112

-32-12y=112

-12y=112+32

-12y=144

y=144÷-12

y=12

simplify
( 2 4/5 * 1 3/10) * 1 1/2 ​

Answers

Answer:

( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50

Step-by-step explanation:

( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50


Write 95300 standard form

Answers

Answer:

9.53 x 10^4

Hope this helps.(~ ̄▽ ̄)~

Please mark as Brainiest.

THANKS. \^o^/


Heather needs to memorize words on a vocabulary list for Korean class. She has memorized 9 of the words, which is one-third of the list. How many words are
on the list?
words

Answers

There are 27 words on the list. I hope this helps.
27 works because 9(3)=27 and 9 is 1/3 of 27.

last year janes wages were $80 per week her wages are now $86 per week.Calculate the percentage increased.​

Answers

Answer:

7.5%

Step-by-step explanation:

86 - 80 / 80 = 0.075

so 7.5%

The percentage increase in wages of from last year to now is 7.5%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, last year janes wages were $80 per week her wages are now $86 per week.

Now, the difference in wage =86-80

= 6

The percentage increase

= 6/80 ×100

= 7.5%

Therefore, the percentage increase in wages of from last year to now is 7.5%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Business owners use percents to calculate markup, discount, and sales tax. A shoe store owner buys a pair of shoes for $20. There is a sale on the item for 20% off.

Answers

Answer:

$16

Step-by-step explanation:

Given data

The cost price of the shoe= $20

Discount = 20%

Let us find the amount of the 20% discount

=20/100*20

=0.2*20

=$4

Hence the selling price will be

=20-4

=$16

If mpho is the 50th fastest and slowest runner in her school,how many students are there in her school

Answers

Answer:

Step-by-step explanation:

i need points lol

There are 99 students in her school.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

mpho is the 50th fastest and slowest runner in her school.

Now,

Since, mpho is the 50th fastest and slowest runner in her school.

Hence, Total number of students = (50 + 50) - 1

                                                   = 100 - 1

                                                   = 99

Thus, There are 99 students in her school.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

determinar el espacio muestral de los siguientes experimentos aleatorios.
a)lanzar tres monedas simultáneamente

Answers

Answer:

i dont knoe

Step-by-step explanation:

Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago Fourteen
years ago, Ishaan was 3 times as old as Christopher.

Answers

Exoksntatii ibs the tule
Present: Ishaan = Christopher + 20 - Equation 1
1 years back: Ishaan-14 = 3(Christopher-14) - Equation 2

Solve above equations:

I = 3c-42+14
I = 3c-24
I = c+20

2c-44 = 0

Christopher = 22 then from Equation 1
Ishaan = 24+ 20 = 44.

which of the following statements are true
A tangent line is perpendicular to the radius of a circle at the point of tangency.
A tangent line is perpendicular to the diameter of a circle at the point of tangency.
A tangent line is the perpendicular bisector of the radius of a circle.
A tangent line intersects a circle at one point.
A tangent line intersects a circle at two points.
Every circle has exactly one tangent line to that circle.

Answers

The tangent line and radius or diameter of the circle intersect at a right angle and the tangent intersects the circle at a single point only. Then the correct option is A, B, and D.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The tangent line and radius or diameter of the circle intersect at a right angle.

And the tangent line intersects the circle at a single point only.

The number of the tangent line depends on the point from which the tangent is drawn.

More about the circle link is given below.

https://brainly.com/question/11833983

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