Angles P and Q are complementary.
Angle P =2x
Angle Q =7x
Find the value of x. What is the measurement of Angle P? What is the measurement of Angle Q?

Answers

Answer 1

Answer:

Explained below.

Step-by-step explanation:

Complementary angles are angles that sum up to 90°.

Here,

Angle P = 2xAngle Q = 7x

Then,

Angle P + Angle Q = 90°

2x + 7x = 90°

9x = 90°

x = 90/9

x = 10°

Therefore,

Measurement of Angle P = 2x = 2*10 = 20°Measurement of Angle Q = 7x = 7*10 = 70°

[tex]\rule{150pt}{2pt}[/tex]


Related Questions

Write the inverse of 6x + 8y= 13 in f-1 (x) notation.

Answers

Answer:

Step-by-step explanation:

6x + 8y = 13

8y = 13 - 6x

y = (13 - 6x) / 8

f(x) = (13 - 6x) / 8

x = (13 - 6f^-1(x)) / 8

8x = 13 - 6f^-1(x)

6f^-1(x) + 8x = 13

f^-1(x) = (13 - 8x) / 6

Which graph best represents the solution set of -4x ≤ 6y − 54?

Answers

Answer:

a

Step-by-step explanation:

if its the same one i saw, the answer is a :)

When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c

1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3

Answers

You configure the formula first to equal it to 0. Also in the order of from high powered x to lower powered and constant.

-3a^2 - 7a + 3 = 0

In order now. A is first one B is second one and C is third one.

Answer is 4

Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)?
Distance formula: 02 - x)2 + 02 -
(x - 1)2 + (y + 2)2= 25
(x + 2)2 + (x-1)2=5
(x + 2)2 + (-1)2= 25
(x - 1)2+ (y + 2)2=5

Answers

Answer:

(x - 1)2 + (y + 2)2= 25

Step-by-step explanation:

because that is it

What is the cube root?

Answers

Answer:

its 4/5

Step-by-step explanation:

cube of four is 64 and cube of 5 is 125

Answer:

4 / 5

Step-by-step explanation:

∛( 64 / 125 )

= ∛64 / ∛125

64 can be simplified as 4 x 4 x 4.

∛64

= ∛ ( 4 x 4 x 4 )

= 4

125 can be written as 5 x 5 x 5.

∛125

= ∛ ( 5 x 5 x 5 )

= 5

∛ ( 64 / 125 ) = 4 / 5

Need help with this problem

Answers

Answer:

44

Step-by-step explanation:

i done this

Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30

Answers

Answer:

D

Step-by-step explanation:

(z + 6)(2z² + 3z + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis

= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms

= 2z³ + 15z² + 23z + 30

Which digit correctly completes the
comparison below?
21.851 < 21.?05
A. O
B. 5
C. 8
D. 9

Answers

Answer:

D. 9

Step-by-step explanation:

All the other answers are lower than 8.

Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)

Answers

Answer:

3x + 6.

Step-by-step explanation:

That would be x + x +2 + x + 4

= 3x + 6.

Verify this  by adding 7 9 and 11:

7 + 9 + 11 = 27

3(7) + 6 =  21 + 6 = 27.



hi i don’t know how to do the question in this picture can you help

Answers

Answer:

no... I m not gonna helping you why should I help you sorry but no sorry


• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.

Answers

Answer

12x-9x-45 (put a 2 above the x on the 12)

Step-by-step explanation:

(2x-9)(x+5)

2x(x) = 2x

2x(5) = 10x

-9(x) = -9x

-9(5) = -45

2x^2+10x^2-9x-45

2x^2+10x^2 = 12x^2

12x^2-9x-45

Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.



Answers

Answer:

let's see....

lil info about elimination method:

it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.

look at -6 in the first equation and the other -6 below it in the second equation.

if you have something like that, then just look for a symbol like - or + that will eliminate them

so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.

so x cannot be negative...

so x = -2.

( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)

I hope this helps

please help!

what are the angle measures of a and s?

Answers

Answer:

Q=91, S = 153

Step-by-step explanation:

QR and TS are parallel (see the arrows in the middle?). Means that angles T and Q add up to 180 - they are conjugate angles. Thus Q has to be 89 (since 89+91=180).
Same difference for R and S: they add up to 180 and since one is 27, the other has to be 153.

Q = 89
S = 153

Because the two sides are parallel the angles on the two sides of the parallel lines in the shape are co-interior (angles add to 180)

So we can do 180 - 91 = 89 to find angle Q

And 180 - 27 = 153 to find angle S

Hope that helps

What is 0.000647 in scientific notation?

Answers

Answer:

The answer is

[tex]6.47 \times 10 {}^{ - 5} [/tex]

2. The table shows the number of different color balloons set up for a dart game at a carnival. Which statement is true? 4 Balloon Color red yellow orange green blue purple Number of Balloons 5 6 5 4 10 1 4 F The probability of hitting a red balloon is as likely as hitting a yellow balloon. ba G The probability of hitting a blue balloon is greater than hitting the other color balloons. H The probability of hitting a yellow balloon is less than hitting the other color balloons. J The probability of hitting a green balloon is as likely as hitting a purple balloon.​

Answers

Answer: honestly good question

good luck brothah

Which equation results from taking the square root of both sides of (x 9)2 = 25?

Answers

The values of the x when the square root is taken on both sides are negative 4 and negative 14.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

The equation is given below.

(x + 9)² = 25

Taking square root on both sides, then we have

(x + 9) = ±5

When the positive sign is considered, then we have

x + 9 = 5

     x = -4

When the negative sign is considered, then we have

x + 9 = -5

     x = -14

More about the Algebra link is given below.

https://brainly.com/question/953809

If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?

Answers

Answer:

+6

Step-by-step explanation:

8x+2y=2so,

-3(8x+2y)

-3(-2)

-3×-2

remember -×- is a + so,

the answer is +6

Answer:

6

Step-by-step explanation:

Given

8x + 2y = -2

Multiply both sides by -3

-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6

Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation​

Answers

Answer:

Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.

Step-by-step explanation:

Answer:

Step-by-step explanation:

what he said

6.

A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the

shuffled deck:

a

What is the probability of drawing a card that is an even number? (1 point)

b.

What is the probability of drawing a card that can be divided by 5? (1 point)

с.

What is the probability of drawing a card that can be divided by 10? (1 point)

Answers

The probability of drawing an even number is 1/2.

The probability of drawing a card that can be divided by 5 is 1/5.

The probability of drawing a card that can be divided by 10 is 1/10.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

a.

There are 20 even numbers between 1 and 40.

The probability of drawing an even number.

= 20/40

= 1/2

b.

There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).

The probability of drawing a card that can be divided by 5.

= 8/40

= 1/5

c.

There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).

The probability of drawing a card that can be divided by 10.

= 4/40

= 1/10

Thus,

The probability of drawing an even number is 1/2.

The probability of drawing a card that can be divided by 5 is 1/5.

The probability of drawing a card that can be divided by 10 is 1/10.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

Camila is curious about the average length of the female blue whales her organization monitors. She takes a
random sample of 4 female blue whales from this population. Their average recorded length is ő = 78 m and
their standard deviation is 8. = 10 m. The distribution of lengths in the sample is roughly symmetric with no
obvious outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean length (in meters) of
female blue whales?
Choose 1 answer
(46.18, 109.82)
B
(62.09, 93.91)
(66.24, 89.77)

Answers

Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.

The parameters are given as follows:

[tex]\overline{x} = 78, s = 10, n = 4[/tex]

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]

The 95% confidence interval is (71.63, 84.36).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

(62.09, 93.91)

Step-by-step explanation:

The correct answer on Khan

9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?

Answers

Volume of the box = 5.2 × 9.6 × 6

= 299.52 ≈ 300 cm³ (approx)

Kyra had a sheet of stickers. She gave 5/8 of the sheet of stickers to Phil. She gave 2/8 of the sheet of stickers to Lisa. What fraction of the sheet of stickers did Kyra give to Phil and Lisa in all?​

Answers

If kyra gave Phil 5/8 and Lisa 2/8 then there would be 7/8 given to Phil and Lisa in total

Jerry climbed 250 steps in 12 1/2 minutes. How many steps did he average per minute?

Answers

Answer:   20 steps per minute

Work Shown:

12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5

Jerry climbed 250 steps in 12.5 minutes

unit rate = (250 steps)/(12.5 min)

unit rate = (250/12.5) steps per min

unit rate = 20 steps per min

The unit rate is basically the same as the average speed.

A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53

Answers

The answer is C. $2.29
Explanation
0.15 x 3 is 0.45
23 minutes additional minutes so
23 x .08 = 1.84
0.45 + 1.84 is 2.29
The correct answer is C. $2.29

what is is a true statement?

Answers

Answer:

The Second option, all parallelagrams are quadralatterals.

Step-by-step explanation:

because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.

the second one all parallelograms are quadrilaterals

how do i solve this exponential equation

Answers

Answer:

  x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

__

  [tex]3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}[/tex]

_____
Additional comment

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?

Answers

Answer:

$20

Step-by-step explanation:

revenue would be    price * quantity

 p ( 120-3p)

   -3p^2 + 120p   = revenue     max will occur at p = - b/2a = - 120/((2)(-3))

p max rev = 20

6. A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse?
7.8
11.0
) 1.0

Answers

Answer:

7.8

Step-by-step explanation:

Use Pythagorean

[tex]c = \sqrt{a^2+b^2}[/tex]

Substitute the values

[tex]c=\sqrt{5^2+6^2}=\sqrt{25+36} =\sqrt{61} =7.8[/tex]

Step-by-step explanation:

sqrt(5^2+6^2)= sqrt(25+36)

sqrt(61)= 7.8

How many lines of symmetry does the figure have?

Will mark brainlyest!

Answers

4

hope it helps....!!!!

PLEASE HELP ME WITH THIS

Select the correct answer.

Function w is a nonlinear function. Which representation could represent function w?​

Answers

Answer:

D

Step-by-step explanation:

ABC are linear so it has to be d

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