Mathematics High School

Find the measures of two complementary angles if the difference in the measures of the two angles is 14

Answers

Answer 1
Complementary angles are angles that measure up to 90 degrees.

To find the measures of the two angles, divide 90 by two to say two angles of 45 degrees. Now divide 14 by 2, which you get 7 with. Now add 7 to 45 and subtract it from 45 as well, to get 52 and 38.

The measures of the angles are 52 degrees and 38 degrees.
Answer 2
complementary angles add to 90 degrees
so let's say they are x and y
and x>y

x+y=90

the differenc is 14
x-y=14
neat

x-y=14
add y to both sides
x=14+y
subsitut 14+y for x in other equation

x+y=90
14+y+y=90
14+2y=90
minus 14 both sides
2y=76
divide both sides by 2
y=38
sub back


x=14+y
x=14+38
x=52


the 2 angles measure 38 degrees and 52 degrees

Related Questions

The Pythagorean formula is c^2 = a + b.
true
false

Answers

false.

 the Pythagorean formula is c^2 = a^2 + b^2

Find the equation of the tangent line to the curve 4x3+2y2−11=4xy−x at the point (−1,2).

Answers

hello : let : y = f(x)     so : y' = f'(x)
calculate : f'(x)  and : f'(-1)  given f(-1) = 2

by derivate : 4x3+2y2−11=4xy−x
12x² +4yy' = 4y +4xy' - 1
4yy' - 4xy' = - 12x² +4y -1 
y' ( 4y - 4x) = 4y -12x² -1 ...(*)
if x = -1   y = 2 subsct in : (*)
y' (4(2)-4(-1)) = 4(2)-12(-1)² - 1
2y' = - 9 
y' = - 9/2 = f'(- 1)  ( the slope of the tangent )
of the tangent line to the curve at the point (−1,2) is : 
y - 2 = (-9/2)(x +1)

Write a story that could describe the expression:-9-5x

Answers

Answer:

Step-by-step explanation:

Emily has a lemonade stand she starts with -9 dollars. Everyday Emily loses 5 dollars.

Three times the sum of a number and six is greater than four times the number decreased by two

Answers

3(x+6)>4x-2 hope this helped

Final answer:

The mathematical problem is to express 'Three times the sum of a number and six is greater than four times the number decreased by two' as an inequality, resulting in 3(n + 6) > 4n - 2, which simplifies to n < 20.

Explanation:

The question involves translating a word problem into an algebraic inequality. The problem statement 'Three times the sum of a number and six is greater than four times the number decreased by two' can be translated into the inequality 3(n + 6) > 4n - 2, where n represents the unknown number.

To solve this inequality, we would first expand the left side of the equation by distributing, resulting in 3n + 18 > 4n - 2. Then, we would get all n terms on one side and constants on the other, leading to the inequality n < 20.

In how money ways can a five-letter license plate be made with the letters from April if none of the letters are repeated ?

Answers

25 different ways in total. 5 letters times itself (5) is 25. That’s how many times




















Geometry help please

Answers

The area is The (base * Height)/2

This means that the area is...
(20*5)/2 = 50

Hope this helps! :)

area = 1/2 base x height

 1/2 x 20 x 5 = 50

 answer is B 50

Geometry Help
1. The vertex angle of an isosceles triangle is always acute. (True/False)
2. The base angles of isosceles triangles are always complementary.(True/False)
3.All of the sides of an isosceles triangle are always congruent. (True/False)

i think the first one would be true, second true, and third one would be false... need confirmation

Answers

you got it! 
TRUE
TRUE
FALSE
1. The vertex angle of an isosceles triangle is always acute: FALSE, since it can be acute or obtuse

2. The base angles of isosceles triangles are always complementary: FALSE, it's true ONLY in an isosceles RIGHT ANGLE triangle, where the angle at the base each equal 45°

3.All of the sides of an isosceles triangle are always congruent: FALSE, all sides are all congruent in an EQUILATERAL triangle

solve the following equation 3x-5=x+12

Answers

Hi Mreana7

add 5 to both sides

simplify x + 12 + 5 to x + 17

subtract x from both sides

simplify 3x - x to 2x

divide both sides by 2

Answer: x = 17/2.

Use the number line below to find the midpoint of AD

Answers

midpoint of line AD = (-7+1) ÷ 2
= -6 ÷ 2
= -3

The midpoint of AD is -3.

t - 5w = 3j solve for t (literal equations)

Answers

T-5w=3j
T=5w+3j
Yes this is the answer
T - 5w = 3j
T = 3j  +  5w

hope it  helps

Vivian solved an equation. she showed all her steps and got the correct answer. what kind of reasoning did vivian use to solve the equation? convenient inductive predictive deductive

Answers

The type of reasoning that Vivian used into solving the equation is the deductive. This type of reasoning is able to describe on how the equation is done and this could be seen in the given scenario above as she was able to show the steps in obtaining the correct answer.

Find the mode of this data set: 3, 3, 4, 8, 5, 8, 1, 6, 7.

Answers

The modes are: 3 and 8

a sealed rectangular box measuring 8 x 6 x 18 contains 864 sugar cubes, each measuring 1 x 1 x 1. How many sugar cubes are touching the box ?

Answers

The surface area of each face of a sugar cube is 1*1 = 1 units²

The rectangular box has 6 faces in contact with sugar cubes.
The area of each of two faces is 18*6 = 108 units²
Therefore these two faces touch 2*108 = 216 cubes

There are two other faces each of area 18*8 = 144 units²
Therefore these two faces touch 288 cubes.

There are another two faces, each of area 6*8 = 48 units².
Therefore these faces touch 96 cubes.

The total number of cubes touching the faces of the box are
216 + 288 + 96 = 600

Answer: 600 cubes

A carpet sells for $27.99 a square yard. what is the price of the carpet per square meter?

Answers

Note that
1 yd = 0.9144 m
1 yd² = (0.9144 m)² = 0.8361 m²

The carpet sells for $27.99 per square yard.
Therefore the selling price is
[tex](27.99 \, \frac{\$}{yd^{2}} )*( \frac{1}{0.8361} \, \frac{yd^{2}}{m^{2}} ) = 33.48 \, \frac{\$}{m^{2}} [/tex]

Answer: $33.48 per square meter.

The midpoint of a segment is (6,−4) and one endpoint is (13,−2). find the coordinates of the other endpoint.

Answers

I hope this helps you can use the formula to find the middle point just replace the unknown x and y into the equation

3(t-7) =6. Solve for the and show steps
8(h-9) =8 solve for h and show steps
9+2(z-2) =15 solve for z and show steps

Answers

 [tex] 3(t -7) = 6 \\ 3(t) + 3(-7)\\ 3(-7) = -21 \\ 3t = 3t \\ 3t - 21 = 6 \\Add21: 3t - 21 + 21 = 6 +21 \\ 3t = 21: Divide3 \\ \frac{3t}{3} cancel = \frac{27}{3}keep \\ t = 9 [/tex]
________________________________________________________________
 [tex]8(h - 9) = 8 \\ 8h - 9 = 9 \\ 8h = 8h \\ 8(-9) = -72\\ 8h + (-72) = \\ 8h - 72 = 8 \\ Add72: 8h - 72 + 72 \\ = 8 + 72 \\ divide8 : \frac{8h}{8}cancel = \frac{80}{8} (keep) \\ h = 10 [/tex]
________________________________________________________________
 [tex]9 + 2(z - 2) = 15 \\ 9+2(z)+ 2(-2)= 15 \\ 2(-2) = -4 \\ 9 +2z = ? \\ 9 +2z+4 = 15\\ Subtract5: 2z + 5 -5 \\ = 15 -5 \\ Divide2: 2z = 10 \\ \frac{2z}{2}cancel = \frac{10}{2} = 5 \\ z = 5 [/tex]
:)                                                                                                                                             :)
good luck on your assignment and enjoy your day

~[tex]MeIsKaitlyn:)[/tex]

Find the cost per ounce of a sunscreen made from 100 oz of a lotion that costs $1.50 per ounce and 150 oz of a lotion that costs $4.50 per ounce. (round your answer to the nearest cent.)

Answers

Is this the full question, because if it is, then the answers are $1.50 and $4.50.

Write an equation of the line containing the point (3,5)and perpendicular to the line 2x- 3y

Answers

Answer:

The equation of the line would be y = -3/2x + 19/2

Step-by-step explanation:

First we need to solve the original equation for y so that we can find the slope.

2x - 3y = 0

-3y = -2x

y = 2/3x

So since the equation has a slope of 2/3, we know the perpendicular slope would be -3/2 (since perpendicular slopes have opposite and reciprocal slopes). Then we can use this and the ordered pair in point-slope form.

y - y1 = m(x - x1)

y - 5 = -3/2(x - 3)

y - 5 = -3/2x + 9/2

y = -3/2x + 19/2

How do I solve this

Answers

Hello,

[tex]x^2-2x-27=-5x+1\\ x^2-2x+5x-27-1=0\\ x^2+3x-28=0\\ x^2+7x-4x-28=0\\ x(x+7)-4(x+7)=0\\ (x+7)(x-4)=0\\ x=-7\ or\ x=4\\ [/tex]
The answer is X1=-7, x2=4.

Given (x – 7)2 = 36, select the values of x.



x = 13



x = 1



x = –29



x = 42

Answers

The answer is below:
13 & 1

we have

[tex](x-7)^{2} =36[/tex]

square root on both sides

[tex](x-7)=(+/-)\sqrt{36}[/tex]

[tex](x-7)=(+/-)6[/tex]

[tex]x=(+/-)6+7[/tex]

[tex]x1=6+7=13[/tex]

[tex]x2=-6+7=1[/tex]

therefore

the answer is

[tex]x1=13[/tex]

[tex]x2=1[/tex]

If a is divisible by​ b, then a divided by ÷b has a remainder of

Answers

0 is the answer because if it is divisible, that means that a would have to be able to go into b evenly

Which answer is equal to i^39


i

1

−1

−i

Answers



[tex]i^{39}=i^{36+3}=i^{36}*i^3=1*-i=-i[/tex]


Good question by the way

Answer:

i

Step-by-step explanation:

stays postive

A population of rabbits triples every month. The population starts with two rabbits. How many rabbits are there after three months?

Answers

If it triples every month, we would multiply last month's by 3. Sooo...
Month 1: 3 rabbits.
Month 2: 9 rabbits.
Month 3: 27 rabbits.
Month 4: 81 rabbits.
We could keep going, but you're looking for after 3 months, which the answer would be 27 rabbits.

I hope this was helpful! :>

What's the answer to 1/6d+2/3=1/4(d-2) and can someone explain/work this out with me?

Answers

1/6d + 2/3 = 1/4(d - 2)...first, distribute thru the parenthesis
1/6d + 2/3 = 1/4d - 1/2....multiply everything by the common denominator 12
2d + 8 = 3d - 6 ...subtract 3d from both sides
2d - 3d + 8 = -6 ...subtract 8 from both sides
2d - 3d = -6 - 8.....simplify
-d = - 14...multiply both sides by -1 to make d positive
d = 14
1/6d+2/3=1/4(d-2)
distribute
1/6d+2/3=1/4d-1/2
add 1/6d to both sides
2/3=5/12d-1/2
add 1/2 to both sides
7/6=5/12d
divide by 5/12
2 4/5=d 
Hope this helps!

The number of cars (c) in a parking lot increases when the parking fee (f) decreases. Write the correct equation for this scenario, and solve for the number of cars when the fee is $6. Fee Cars 20 15 30 10

Answers

Data:

Fee   Cars
20     15
30     10

Given that you have only two set of data, you can only assume a linear model.

To find the linear model (equation) that predict the number of cars (x) as a functionn of the parking fee (f) you follow, using only two set of data, follow this procedure:

1) Find the slope, m

m = [10 - 15] / [30 - 20] = - 5 / 10 = - 0.5

2) Use the slope-point equation

y - y1 = m (x - x1)

=> y - 10 = - 0.5 (x - 30)

=> y - 10 = - 0.5x + 15

=> y = - 0.5x + 15 + 10

=> y = - 0.5x + 25

or c = - 0.5 f + 25  <-------- equation

Now you can replace 6 for f to get the number of cars when the fee is $6

c = - 0.5 (6) + 25 = - 3 + 25 = 22 <---- this is the number of cars when fee is $6

Answers:

c = - 0.5 f + 25

number of cars = 22

I need help with number 26 and 27, thanks.

Answers

As stated above in the comments ^^

26 is y = 2/3x - 14/3

27 is y = -3x + 11

Let me know if you ever want the explanation! Hope this helps!

The net below is for a number cube. What are the three sums of the numbers on opposite surfaces of the cube?

Answers

I think the way you do it is you just add the numbers that are opposite of each other. A way you can figure it out is by imagining the net folding into a cube. The numbers that are opposite each other are 5 and 6, 2 and 4, and 1 and 3. 5+6=11, 4+2=6, and 1+3=4. 11, 6, and 4 are your answers.

what is thr difference between dividing 16 by 2 and finding the square roots of 16?

Answers

When you divide a number by two, you find the number that if you add it to itself, become the original number. 

When you square root a number, you find the smaller number that becomes the bigger number if you multiply it by itself.

For sixteen, if you divide it by two, you get 8, while if you square root it, it becomes 4.

The difference between them is 4

Difference between both operations

To solve this, let us find the value of 16 by 2

[tex]\frac{16}{2} = 8[/tex]

What is the square root of 16?

The square root of 16 is given as

[tex]\sqrt{16} = 4[/tex]

The difference between dividing 16 by 2 and square root of 16 is

[tex]8 - 4 = 4[/tex]

The operations which we performed are

[tex]\frac{16}{2}[/tex][tex]\sqrt{16} = 4[/tex]

And the difference between them is 4.

Learn more on mathematical operations here;

https://brainly.com/question/10873737

he editors found that 0.0016 of the words in the book were misspelled. if there were 250,000 words in the book how many words were spelled properly

Answers

Since 0.0016 of the words were misspelled (and it's not in a percent), we can multiply 250,000 by 0.0016 to get 400
the answer is 400 
(⌐■_■)

What is the distance between points J and K?

Answers

-8 to 0 = 8

0 to 4 = 4

8+4 = 12

 distance is 12

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