an angle measures 15 degrees more than its complement. Find the measures of the two angles

An Angle Measures 15 Degrees More Than Its Complement. Find The Measures Of The Two Angles

Answers

Answer 1

Answer:

The first angle is 37.5° and the second would be 52.5°

Step-by-step explanation:

Angles are complementary when their sums add up to 90°.

[tex]x+(x+15) = 90\\x+x+15=90\\x+x=75\\x=37.5[/tex]

The first angle is 37.5° and the second would be 52.5°, after we plug in x.

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Answer 2

Answer:

Angle 1 = x = 37.5°Angle 2 = x + 15 = 52.5°

Concept:

Here, we need to know the idea of the complementary angle.

Two angles are said to be complementary if they add up to 90 degrees.

Be aware that three or more angles cannot be complementary even if their sum is 90 degrees.

Solve:

Given information

Angle 1 = x

Angle 2 = x + 15

Given expression deducted from the definition of the complementary angle

Angle 1 + Angle 2 = 90

Substitute values into the expression

(x) + (x + 15) = 90

Combine like terms

(x + x) + 15 = 90

2x + 15 = 90

Subtract 15 on both sides

2x + 15 - 15 = 90 - 15

2x = 75

Divide 2 on both sides

2x / x = 75 / 2

[tex]\boxed{x=37.5}[/tex]

Find the measure of angle 2

Angle 2 = x + 15 ⇔ Given expression

Angle 2 = (37.5) + 15 ⇔ Substitute values into the expression

Angle 2 = [tex]\boxed{52.5}[/tex] ⇔ Simplify by addition

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

What is Slope=2, y-intercept =5

Answers

y = 2x + 5

x= -3 , y= -11x= -2 , y= -9x= -1 ,  y= -7x=  0 , y= 5x=  1 ,  y= 7x=  2 , y= 9x=  3 , y= 13

Solve the compound inequality. Graph the solution

Answers

Answer:  Choice B

Work Shown:

[tex]-2 \le 2x-4 < 4\\\\-2+4 \le 2x-4+4 < 4+4\ \text{ ... add 4 to all sides}\\\\2 \le 2x < 8\\\\2/2 \le 2x/2 < 8/2\ \text{ ... divide all sides by 2}\\\\1 \le x < 4\\\\[/tex]

This says that x is between 1 and 4; it can equal 1, but it can't equal 4.

To visually represent this, we'll have a closed circle at 1, an open circle at 4, with shading in between these circles. This is represented by graph B.

How many solutions does the following equation have? 7 x - 5(2x - 4) - 8 = 15 - (3 - x) - 4x

a. no solution
b. exactly one solution
c. at least two solutions
d. infinitely many solutions

Answers

Answer:

no soultion

Step-by-step explanation:

did on paper

Answer:

exactly one solution

Step-by-step explanation:

got it right on khan lol

help pls its ez :))))))))))))))))

Answers

Answer:

Yes

Step-by-step explanation:

6 × 18.75 = 112.50

8 × 18.75 = 150.00

11 × 18.75 = 206.25

The scatterplot to the left shows the cost, C, in thousands of dollars, and living space, z, in square feet (ft) for several houses in a certain neighborhood. According to the data, which of the following best approximates the cost for an additional square foot of living space for homes in this neighborhood?​

Answers

The best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

Since we are looking for an approximation of the cost for an additional square foot of living space, we need to find the slope of the line of best fit for the given scatterplot. The slope of the line represents the change in the cost of the house for every one unit increase in the living space, which in this case is one square foot.

From the scatterplot, we can see that as the living space increases, the cost of the house also increases, indicating a positive linear relationship. We can also see that there is a line of best fit that closely approximates this relationship.

To find the slope of the line of best fit, we can choose any two points on the line and calculate the change in the y-coordinate (the cost) divided by the change in the x-coordinate (the living space). One way to do this is to choose the two points where the line intersects the y-axis and the x-axis. From the scatterplot, we can estimate these points to be approximately (0, 200) and (1600, 0), respectively.

Using these two points, the slope of the line of best fit is:

slope = (change in y) / (change in x)

slope = (200 - 0) / (0 - 1600)

slope = -0.125

Therefore, the best approximation of the cost for an additional square foot of living space for homes in this neighborhood is a decrease of $0.125 thousand, or $125, for every one additional square foot of living space.

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Find the quotient. Round to the hundredths place.

99.466 divided by 14.8

Answers

Answer:

6.72

Step-by-step explanation:

I multiplied both numbers by 10 to make it easier in my opinion. That made the equation 994.66 x 148

Then, I divided it until i got to the thousandths place. Lastly, i just rounded making it 6.72

Jon has to pay $7.00 admission for the skating rink in $1.50 per hour to rent rollerblades. How many hours can he skate for $19?

Answers

Answer: 8 hours

Step-by-step explanation:

Given information

Admission fee = $7.00

Hour rent fee = $1.50

Number of hours = h

Total fee = $19

Set equation according to the given information

Total fee = admission fee + (hours) × (hour rend fee)

Substitute values into the equation

19 = 7 + 1.5h

Subtract 7 on both sides

19 - 7 = 7 + 1.5h - 7

12 = 1.5h

Divide 1.5 on both sides

12 / 1.5 = 1.5h / 1.5

[tex]\boxed{h=8}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

The y-intercept of the line with equation 8x-4y=12

Answers

Answer:

y- intercept, x=0

8(0)-4y=12

y=-3

Fill in the blank to complete this trig
ratio.
y
sin a =
[?]
a
Х
N
A
00
С
Х
У
N

Answers

Answer:

Z/X

Step-by-step explanation:

cause sin is p/h and p=Z and h=X

[tex] \displaystyle \large \tt{ \sin a = \frac{opposite}{hypotenuse} }[/tex]

First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.

The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)

So what we have now are:

opposite = z (Refer to the bold text)hypotenuse = x (hypotenuse is always the side that is opposed to a right angle.)

Substitute the letter in the ratio:

[tex] \displaystyle \large \boxed{ \sin a = \frac{z}{x} }[/tex]

1. ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that δABD ≌ ΔBAC.

Answers

Step-by-step explanation:

ABCD is a quadrilateral triangle,where AD=BC and <DAB =<CBA.

In ∆ABD and ∆BAC

•AD=BC. (given)

•<DAB=<CBA (given)

•AB=BA. (common side)

Therefore, ∆ABD ≌ ΔBAC. {SAS congruence rule}

The graph of y = 2x + 1 is:

True or False

Answers

Answer:

False

Step-by-step explanation:

We can already see that the y-intercept doesn’t matches with the inequality.

Therefore, it is false

Answer:

False

Step-by-step explanation:

If the graph represented y = 2x + 1, then the y-intercept would be 1. The slope is correct(-ish), the y-intercept is not.

c divided by the sum of 10 and 7

Answers

Answer:

The answer would be c/17

Step-by-step explanation:

You would have to add 10 and 7 to get the sum. Then just divide whatever c is by 17.

help please!!

angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?

Answers

Answer:

angle 1 + angle 2 = ∠DEB

angle 7 + angle 8 = ∠NEG

angle 1 + angle 6 = ∠NEA

This is my question:

Answers

Answer:

48 children went to the big picnic

Step-by-step explanation:

hope that helps>3

Answer:

48 children

Step-by-step explanation:

8, 13, 18, 23 how to write out the sequence Nth term

Answers

Answer:

5n+3

Step-by-step explanation:

:)

Answer:

[tex]\alpha n=5n+3[/tex]

Step-by-step explanation:

Graph the line y=43x+1.

Answers

To graph this is is good to plot points. First, you can start by plotting the intercepts.

Y intercept is found by substituting 0 for x. In this case you get y=1 as the y int or (0,1) for the coordinate.

The X intercept is found by substituting 0 for y, and solving for x. For this, you get x=-1/43 or (-1/43,0) as the coordinate.

You can then plot the points and draw a line connecting the points to get an idea of what the graph looks like.

Answer:

Read explanation Please (I spent alot of time on it and its important to understand where the answer came from not just the answer!)

Step-by-step explanation:

This problem is in the form of y=mx+b where m is the ratio y grows accordinly to x and b is the value of y when x is 0 (mx0 is 0, 0+b is b).

In you problem we can identify that 1 is the y intercept or when x is 0. All we have to do is find another point since 2 points make alike. Let's say x was 1. 43 * 1 +1 = 44 so when x is 1 y is 44.

Our two points are, (0,1)(1,44)

I left a picture of the graphed btw!,

Hoped this helped, Eddie

Please can you solve this questions for me!!
It's important ​

Answers

15:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^5y^6}{xy^2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}y^{6-2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^4y^4[/tex]

16:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{x^2y^5}{xy^4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{2-1}y^{5-4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto xy[/tex]

17;-

[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{4x^5y}{16xy^4}\right)^3[/tex]

[tex]\\ \qquad\quad\sf\longmapsto (4^{1-2}x^{5-1}y^{1-4})^3[/tex]

[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^4y^{-3})^3[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4^{-3}x^{12}y^{-9}[/tex]

18:-

[tex]\\ \qquad\quad\sf\longmapsto \left(\dfrac{5x^3y}{20xy^5}\right)^4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto (4^{-1}x^{2}y^{-4})^4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4^{-4}x^8y^{-16}[/tex]

19:-

[tex]\\ \qquad\quad\sf\longmapsto y^{-7}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{y^7}[/tex]

20:-

[tex]\\ \qquad\quad\sf\longmapsto 7^{-2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{7^2}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{49}[/tex]

21:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^{-5}}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^5[/tex]

22:-

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{2^{-4}}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 2^4[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 16[/tex]

23:-

[tex]\\ \qquad\quad\sf\longmapsto x^5\times x^{-1}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{5-1}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^4[/tex]

24:-.

[tex]\\ \qquad\quad\sf\longmapsto x^{-6}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto \dfrac{1}{x^6}[/tex]

25:-

[tex]\\ \qquad\quad\sf\longmapsto x^9(x^{-7})[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^{9-7}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto x^2[/tex]

Simplify.

What is the answer?

Answers

Answer:

81[tex]y^{8}[/tex][tex]z^{4}[/tex]

Step-by-step explanation:

>

PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines

Answers

Answer:

Parallel lines

Step-by-step explanation:

Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
1632
0.25
0.0300300030000…
0

Answers

Answer:

0.0300300030000...

Step-by-step explanation:

An irrational number has endless non-repeating digits to the right of the decimal point. They can be written as decimals, but not as fractions.

1632 can be written as 3264/2

0.25 can be written as 1/4

0 could be written as 0/0

but 0.0300300030000 cannot be written as a fraction, and it satisfies the condition of an irrational number having endless non-repeating digits to the right of the decimal point.

Find (fog)(x).
f(x) = -5x - 2
g(x) = -6x – 6
Write your answer as a polynomial in simplest form.
(fog)(x) =

Answers

Answer:

30x + 28

Step-by-step explanation:

To evaluate (f ○ g)(x), substitute x = g(x) into f(x) , that is

f(g(x))

= f(- 6x - 6)

= - 5(- 6x - 6) - 2 ← distribute parenthesis and simplify

= 30x + 30 - 2

= 30x + 28

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

y=x+5, or you could but y=1x+5 it’s the same thing

Solve for x please will mark brainliest

Answers

Answer:

[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]

To graph an exponential, you need to plot a few points, and then connect the dots and draw the graph. Where do you
come up with values to use in the graph?
T-chart using positive real numbers C. T-chart using all real numbers
b. T-chart using negative real numbers d. T-chart using random values for x and y
a.
Please select the best answer from the choices provided
OA
ОВ
D
and Guit
Submit

Answers

Es la b o Edu plis no pos

To graph an exponential,

d. T-chart using random values for x and y.

What is mean by graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

Now,

We know an exponential function is a function in which the independent variable is the exponent.

One such function is y = eˣ

Now, To graph an exponential function you come up with values to use in the graph should be a T-chart using random values for x and y.

As it would result in graphing the complete nature of the function.

Learn more about graphs here :

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HELP PLEASE I NEED THIS ONE!!!

If n/30 lies between 1/5 and 1/3, what are all the possible values of n if n is a whole number?

I’ll give brainliest

Answers

Answer:

7, 8, 9

Step-by-step explanation:

1/5 = 6/30

1/3 = 10/30

Expand and simplify 5)3x+2)-2(4x-1)

Answers

Answer:

It is 7x + 12

Step-by-step explanation:

[tex]5(3x + 2) - 2(4x - 1)[/tex]

open brackets:

[tex] = 15x + 10 - 8x + 2[/tex]

group like terms together:

[tex] = (15x - 8x) + (10 + 2)[/tex]

factorise out x :

[tex] = x(15 - 8) + 12 \\ = 7x + 12[/tex]

2(3m+6n) + 3(5m-2n)+ 5(-6m+n) ​

Answers

Answer:

[tex]2(3m + 6n) + 3(5m - 2n) + 5( - 6m + n) \\ [/tex]

open the brackets:

[tex] = (6m + 12n) + (15m - 6n) + ( - 30m + 5n) \\ [/tex]

group the coefficients of m and n in their brackets:

[tex] = (6 + 15 - 30)m + (12 - 6 + 5)n \\ [/tex]

then operate the brackets:

[tex] = - 9m + 11n[/tex]

If 2^10 + 2^10 = 2^x, what's x?

Answers

Answer:

11

Step-by-step explanation:

2^10 + 2^10 = 2^x

1024 + 1024 = 2^x

2,048 = 2^x

x = 11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 11[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2^{10}+2^{10} = 2^x\\--------------\\\rightarrow 2^{10} = 1024\\\\\rightarrow 1024 + 1024 = 2^x\\\\\rightarrow 2048 = 2 ^x\\\\\rightarrow log(2^x)=log(2048)\\\\\rightarrow xlog(2)=log(2048)\\\\\rightarrow \frac{log(2)}{log(2)} =\frac{log(2048)}{log(2)}\\\\\rightarrow x = \frac{log(2048)}{log(2)}\\\\\rightarrow \boxed{x = 11}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What is the volume of the following rectangula
prism?
4
units
3
23
units
4

Answers

SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW

Solve for x 3/4x + 5/4 = 4x
(9the grade Algebra 1 )

Answers

Answer:

[tex]x = \frac{5}{13} [/tex]

Step-by-step explanation:

[tex] \frac{3}{4} x + \frac{5}{4} = 4x[/tex]

[tex]3x + 5 = 16x[/tex]

[tex]3x - 16x = - 5[/tex]

[tex] - 13x = - 5[/tex]

[tex]x = \frac{5}{13} [/tex]

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