Mathematics High School

Angle a has the property that twenty eight times times its complement is equal to thirteen times its supplement. find the measure of angle
a.

Answers

Answer 1
< a....its complement is (90 - a) and its supplement is (180 - a)

28(90 - a) = 13(180 - a)
2520 - 28a = 2340 - 13a
-28a + 13a = 2340 - 2520
- 15a = - 180
a = -180/-15
a = 12 <=== so < a = 12

Related Questions

Which statement is true about regular exercise? 1.It decreases your resting heart rate.
2.It decreases your lung capacity.
3.It decreases your intelligence.
4.It increases your blood pressure.

Answers

It decreases your resting heart rate

Answer:

got correct on edmentum mastery test, hope this helps

Is it possible for two linear functions whose graph are parallel to have the same y-intercept

Answers

If you have e two linear functions and on a graph they are parallel that means they have the same slope with different y intercepts. If they are parallel and have the same y intercept then they would be the same graph. So no it’s not possible because there would not be two different graphs/functions; they would be exactly the same.

the height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height

Answers

A = (h * b) / 2
A = 200
h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm

The temperature was 8 degrees below zero. What does the 0 represent?

Answers

The zero represents the origin
the zero ( 0 ) is the orgin

i hope this helped! have a wonderful day!!!


PLEASE HELP OVER 50 POINTS ONE QUESTION

8. Fill in the missing reasons for the algebraic proof below.
A:
B:
C:

Answers

a) distribution property
b) addition property of equality
c) division property of equality

hope this helps

a. Distributive property of addition
b. Subtraction property of equality
c. Division property of equality

solve for x
5.1 x = 1.02

Answers

5.1(x) = 1.02

5.1(x)/5.1 = 1.02/5.1

x = 1.02/5.1

x = 0.2

hope this helps
The answer is .02 for this question 

The table shows the pricing for four different types of gasoline. Type Cost A $20.20 for 10 gal B $26.04 for 12 gal C $28.14 for 14 gal D $30.45 for 15 gal Which type costs the least per gallon?

Answers

Type A: $20.20 ÷ 10 gal = $2.02 per gal
Type B: $$26.04 ÷ 12 gal = $2.17 per gal
Type C: $ 28.14 ÷ 14 gal = $2.01 per gal
Type D: $30.45 ÷ 15 gal = $2.03 per gal

Type B costs less per gallon.
Hope this helps!!

The bottom answer is incorrect

The answer is C.$28.14 for 14 gal

First four terms of f(n)=3n-1

Answers

f(n)=3n-1
First term,
n=1
f(1)=3(1)-1
=2

Second term,
n=2
f(2)=3(2)-1
=5

Third term,
n=3
f(3)=3(3)-1
=8

Fourth term,
n=4
f(4)=3(4)-1
=11

Therefore, the first four terms are 2,5,8,11

The first four terms of the function f(x) = 3n - 1 are 2, 5, 8, and 11.

Given,

f(n) = 3n - 1

We need to find the first four terms.

What is a function?

A function has an input and an output.

Example:

f(x) = x + 1

x = 1,2,3 are inputs.

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

5, 6, and 7 are the outputs.

We have,

f(n) = 3n - 1

We can assume that the first four terms can be found with n= 1,2,3,4.

f(1) = 3 x 1 - 1 = 3 - 1 = 2

f(2) = 3 x 2 - 1 = 6 - 1 = 5

f(3) = 3 x 3 - 1 = 9 - 1 = 8

f(4) = 3 x 4 - 1 = 12 - 1 = 11

Thus the first four terms of the function f(x) = 3n - 1 are 2, 5, 8, and 11.

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Which statement is true? @jimthompson5910

Answers

The regression equation given to us is y = 0.5x + 1.3

It is in the form y = mx+b
m = 0.5 is the slope
b = 1.3 is the y intercept

The slope of 0.5 indicates that each time x increases by 1, the value of y will increase by 0.5 (since 0.5 = 0.5/1)

Translate this into the context of the problem and that means "for every extra person attending (x), the prep time increases by roughly 0.5 hours" which is what choice C is saying, well a paraphrase of it anyway.

Answer: Choice C

Teds needs a average of at least 70 on his three history test. he has already scored 85 and 60 on two test. what is the minimum grade ted needs on his third test

Answers

Teds minimum grade he needs on his third test is 65

85 + 60 + 65 = 210

210 divide by three (as there are three tests) = 70

[2/(n+2)] - (3/n+2) = 5

Solve by u-substitution

Answers

let n+2=u so, the equation became= [2/u]-[3/u]=5 => [(2+3)/u]=5 => 5/u=5 => u=5/5=1 thus, u=1 we know u=n+2 so, n+2=1 => n=1-2=-1 so, n=-1

1. solve the proprotion k/5=5/125.
a) 1/25
b) 25
c) 5
d) 1/5


2. round the answer of 0.4x-0.2=2.5 to two decimal places.
a) -2.70
b) -6.75
c) -5.75
d) -3.25

3. what is the y-intercept of 4x-3y=-12?
a) -4
b) 3
c) -3
d) 4

Answers

1. solve the proportion k/5=5/125.
First reduce 5/125.
5/125 = 1/25
Now you can cross multiply.
25k = 5
k = 5/25
k = 1/5
d) 1/5

2. round the answer of 0.4x-0.2=2.5 to two decimal places.
0.4x=2.7
x = 6.75
b) -6.75

3. what is the y-intercept of 4x-3y=-12?
The y-intercept is when x = 0.
4(0) - 3y = -12
-3y = -12
y = 4
d) 4

What is the value for X?
- 24
-9
-21
-14
what is the measure of <1?
- 45
- 60
- 120
-125

Answers

180-(5x+15)=3x-3
180-5x-15=3x-3
-5x-3x=-3-180+15
-8x= -168
x= 168/8= 21
x=21

angle <1
180-(3x-3)
180-(3×21-3)
180-(63-3)
180-60= 120°
Final answer:

The value of X is -14 and the measure of <1 is 60 degrees.

Explanation:

The value of X is -14. This can be determined by checking each option and finding the one that satisfies the given condition. Similarly, the measure of <1 is 60 degrees. This can also be determined by checking each option and finding the one that matches the given criteria.

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(6v^3+42v)/(2v^2+26v+84)

Answers

Answer:
_______________________________________________
The simplied version is:
_______________________________________________
                " [tex] \frac{3v(v^2+7)}{(v^2+13v+42)} [/tex]  "  ;

or; write as:  " [tex] \frac{3v(v^2+7)}{(v+7)(v+6)} [/tex]  " .
_______________________________________________
Explanation:
_______________________________________________
Given:
_______________________________________________
     " [tex] \frac{6v^3 +42 v}{2v^2 +26v + 84} [/tex]  " ;
_______________________________________________
     →  Factor out a "6v"[tex] \frac{6v(v^2+7)}{2(v^2+13v+42)}[/tex] in the "numerator"; & factor out a "2" in the denominator;  as follows:
____________________________________
→ [tex] \frac{6v(v^2+7)}{2(v^2+13v+42)}[/tex] ;
____________________________________
→  " [tex] \frac{3v(v^2+7)}{(v^2+13v+42)} [/tex] " ;
______________________________________________

or; factor out the "denominator" :
______________________________________________
→ (v² + 13v + 42) =  (v+7)(v+6) ;
______________________________________________
and write as: 
______________________________________________
→  " [tex] \frac{3v(v^2+7)}{(v+7)(v+6)} [/tex] " .
______________________________________________

A hummingbird can travel up to 15 meters per second. What is the hummingbird's speed in miles per hour? 1 mile ≈ 1609 meters Enter your answer, as a decimal to the nearest tenth, in the box.

Answers

there are 3600 seconds per hour

15 * 3600 = 54000 meters per hour

54000/ 1609 = 33.56

 round to 33.6 miles per hour

The speed of Hummingbird's in miles per hour is 8,153.6463 mph.

What is speed-distance formula?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,

       Distance = Speed X Time, and

Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.

Given:

A hummingbird can travel up to 15 meters per second.

As,

1 m/s= 2.23694 mph

So, 15 m/s= 15 * 2.23694

                = 8,153.6463 mph

Hence, the speed in mph is 8,153.6463.

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In how many ways can the letters in the word 'alaska' be arranged?

Answers

The word Alaska can be arranged in 720 ways

Problem page two trains leave stations 390 miles apart at the same time and travel toward each other. one train travels at 65 miles per hour while the other travels at 85 miles per hour. how long will it take for the two trains to meet

Answers

it will take 20 miles to meet .

4. Making financial decisions is fairly rare; most people make only a few during their lifetime. True False

Answers

The answer is false. 

How to find the slope intercept form of the equation using another line in slope intercept form and a point for the line?

Answers

Answer:

IF the other line is parallel you use the same slope (m) as the line given then find the y intercept (b) by plugging in the (x,y) and m into y = mx + b

Step-by-step explanation:


If a = -4, and b = 3 what is |a-b|

Answers

Absolute value is the number of units a number is from 0. Basically, you just make everything positive. For example |-5| is 5; |5| is also 5.

Using this concept:

|a - b|
|-4 - 3|
|-7|
7

Hope this helps!
la-bl
l-4-3l
l-7l
7
I think that’s how you do it

What’s he hypotenuse, x, if ( 20, 21,x) is a Pythagorean triple?

Answers

If x is the hypotenuse, that means that sqrt(20^2+21^2)=x=29 since sqrt(a^2+b^2)=c or a^2+b^2=c^2

Answer:

B) - 29

Step-by-step explanation:

Geometry help please

2 attachments, 1 question

Answers

The answer to this question should be: 
1. definition of supplementary angles
2. 115
3. definition of acute angle

Supplementary angles mean that the angle will add up to 180°. In this case, that means PQR + RQS= 180° where PQR=115°
So the RQS would be 180-115=65° Acute angle is when the angle is <90° so RQS is acute angles

What is the average of 12 1/2, 13, and 13?

Answers

To get the average add up the totals and divide by the amount
(12.5+13+13)/3

=38.5/3 
=12.833

If a six sided die is tossed two times and '3' shows up both times, the probability of a '3' on the third trial is

Answers

1 out of 6 time you would be able to get three the third time 

If a six sided die is tossed two times and '3' shows up both times, the probability of a '3' on the third trial is  [tex]\frac{1}{6}[/tex]

Given :

A six sided die is tossed two times and '3' shows up both times

'3' shows up both the times .

When the dice is rolled third time. there are 6 possibilities comes up

In the third trial , we have six possibilities 1,2,3,4,5,6

Out of six possibilities , the chance of getting '3' is only once

So, the probability of a '3' on the third trial is [tex]\frac{1}{6}[/tex]

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What is the median of the data set: 15, -2, 0, 15, 2, 12

Answers

put in order
-2, 0, 2, 12, 15, 15
median is the middle number
so
median = (2+12)/2 = 14/2 = 7

hope it helps
To find the median, you have to number it from smallest to largest. 
-2,0,2,12,15,15
Since there are 2 medians, you find the average of those two numbers.
2+12 is 14/2 is 7.
7 is the median.

Which number is a solution of the inequality? 6 ≥ 6k?

Answers

This isnt a inequality

solve 7d + d - 4d - 7 - 5d

Answers

-1d-7 is the answer I'm pretty sure

 1, Simplify  7d+d-4d-77d+d−4d−7 to 4d-74d−7

4d-7=5d4d−7=5d

 2.Subtract 4d4d from both sides
-7=5d-4d−7=5d−4d

 3. Simplify 5d-4d5d−4d to dd
-7=d−7=d

 4. Switch sides
d=-7d=−7
5. so your answer would be -7

The function f(x) = ax^3 -x^2 + bx -24 has three factors. Two of these factors are x-2 and x+4. Determine the values of a and b, then determine the other factor. (My Nelson Advanced Functions Grade 12 book chapter 3)

Please help :)

Answers

Answer is below........

The roots of any equation, always satisfies that equation.

Values of  ,   a = - 2   and  b = 22

Other factor of given function is  (x - 3/2)

The given function  [tex]f(x) = ax^3 -x^2 + bx -24[/tex]

Since,  (x - 2) and (x + 4) are factors of given function

Therefore,  x = 2 and x = -4 satisfies the given function.

[tex]f(2)=8a-4+2b-24=0\\8a+2b=28\\\\f(-4)=-64a-16-4b-24=0\\-64a-4b=40\\-16a-b=10[/tex]

Now , solving above two equation by elimination method

We get,   a = -2  and  b = 22

So,   [tex]f(x) = -2x^3 -x^2 + 22x -24[/tex]

To find other factors , we divide above function by multiplication of (x - 2)(x+4).

So we get other factors,    (x - 3/2)

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The sum of two numbers is 39 . the smaller number is 13 less than the larger number. what are the numbers

Answers

13 and 26

13+26=39 and 26-13=13

The required numbers are given as 26 and 13.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
let the number be x and y,
According to the question,
x + y = 39 - - - - (1)
x =  y + 13 - - - - - (2)

Put value from equation 2, in equation 1
y + y + 13 = 39
2y = 39 - 13
y = 26/y
y = 13

Now,
x = 13 + 13

x = 26

Thus, the required numbers are given as 26 and 13.

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You are playing a video game. For each diamond you collect, you earn 80 points. You also earn 100 bonus points by completing the level in less than 2 minutes. You need to earn more than 1220 points to continue on to the next level. Write and solve an inequality that represents the numbers dd of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Given

For each diamond you collect, you earn 80 point

earn 100 bonus points by completing the level in less than 2 minutes.

earn more than 1220 points to continue on to the next level

Find the inequality that represents the numbers dd of diamonds you must collect in less than 2 minutes to advance to the next level.

To proof

As given in the question

For each diamond  earn point = 80

bonus points by completing the level in less than 2 minutes = 100

earn more than 1220 points to continue on to the next level

Let us assume that the number of diamond = d

The inequality written in the form

we  get

[tex]80d + 100 \geq 1220[/tex]

now solving the above equation

[tex]80d \geq1120[/tex]

[tex]d \geq14[/tex]

Thus the  numbers  of diamonds you must collect in less than 2 minutes to advance to the next level be 14.

Hence proved

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