The diagram shown is two intersecting lines. The measure of 5 is 47°.

The Diagram Shown Is Two Intersecting Lines. The Measure Of 5 Is 47.

Answers

Answer 1

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

What is a Linear Pair?

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

Learn more about linear pair on:

https://brainly.com/question/3768841


Related Questions

Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponent of the power in the product?.

Answers

The product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

The given expression is:

[tex](1.466*10^{-8} )(5.02*10^5)[/tex]

We can rewrite the given expression as

[tex](1.466*5.02)(10^{-8} *10^5)[/tex]

What is the exponent addition rule?

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

[tex]a^m*a^n = a^{m+n}[/tex]

[tex]1.466*5.02=7.35932[/tex]

[tex]10^{-8} *10^5 = 10^{-3}[/tex]....from exponent addition rule

So, [tex](1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}[/tex]

Therefore, the product of the factors in the given expression comes to be [tex]7.35932 *10^{-3}[/tex].

To get more about exponents visit:

https://brainly.com/question/819893

Answer:

7.3593 and -3

Step-by-step explanation:

Got it right on the assignment.

The girls bought 20 blue hair bows, lost 4 bows, and gave 3 away. What percent of the bows do the girls still have?

Answers

Answer:

65%

Step-by-step explanation:

4 + 3 = 7

7/20 = 35/100

100 - 35 = 65

I may be wrong but yknow

PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary​

Answers

Answer:

~21.23

Step-by-step explanation:

First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.

Hope this helps!

Give me brainliest too ;)

Answer: 21.23

Step-by-step explanation:

The formula for finding the area of  a circle is pi times  radius squared.

What is the approximate measure of angle B?

Answers

Answer: D

Step-by-step explanation:

Find X using the diagram.

Answers

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]

A clock cog rotates 150 degrees in 20 minutes. How far will far will the same cog rotate in 70 minutes

Answers

Answer:

525 degrees

Step-by-step explanation:

I think it’s 450
I am not sure but yeah ;)

What is 75% of 112?

(^u^)

Answers

Answer:

84

Step-by-step explanation:

asked siri

Answer:

84

Step-by-step explanation:

take the percentage and turn it into a decimal so 75 becomes .75

multiply the decimal by the number

.75 x 112 = 84

Solve the given system of differential equations by systematic elimination. Dx dt = 2x − y dy dt = x

Answers

The solution to the given system of differential equations is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

1. dx/dt = 2x - y

2. dy/dt = x

Substituting y = -dx/dt into the second equation,

dy/dt = x - t

-d²x/dt² = x - t

Now, assume a particular solution of the form x = At + B,

where A and B are constants.

Substituting this into the differential equation,

-A = At + B - t.

Equating the coefficients of t on both sides,

A = -1 and B = 0.

Thus, the particular solution is x = -t.

Now, integrating dx/dt = -yt,

x = -yt + C₁

Finally, substituting x into the particular solution x = -t,

-t = -yt + C₁.

Solving for y, obtain y = t²/2 + C₁t + C₂.

Therefore, the solution is x(t) = t + C₁ and y(t) = t²/2 + C₁t + C₂.

Learn more about systematic elimination here:

brainly.com/question/29847467

#SPJ4

4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9

Answers

B I believe is the answer thank you

39y³(50y² - 98) ÷26y²5y + 7)​

Answers

Answer:

3y5 • (5y + 7)2 • (5y - 7) then solve that which is (3•2y5) • (5y + 7) • (5y - 7) and keep going { 3x−2y=5 & 2x−5y=7

SOLVE FOR X, Y

x=1

y=−1

I hope this helps a little

Please help asap!!! I will give brainlist

Answers

Answer:

I believe the answer is C.

[tex] \sqrt{35} [/tex]

The Hire Purchase priceola microwave
a deposit of $600 and equal monthly
installmentsof$4s. Howmany installmen,

Answers

Answer:

150

Step-by-step explanation:

$600/$4 =150

=150 installments

Buddy ran the same distance each day for 5 days.
Write an expression to model this situation. If
you use a variable, explain what it represents.
b. Evaluate your expression if Buddy ran 10 miles
each day.

Answers

Answer:

A.

One expression you can do is the total amount of distance Buddy runs in a 5 day period, as a function of the amount of miles he runs in a day.

d(x) = y = 5x

d(x) being total amount of miles buddy runs in 5 days. x being the amount of miles he runs in a day.

B.

Now if he ran 10 miles a day, just substitute 10 for x.

d(10) = y = 5(10) = 50

which of the follwing is true?

Answers

Answer:

The correct one is B)

Step-by-step explanation:

Dividing with the same base subtracts the power

0.09+
100
27

=
100

+
100
27

Answers

Answer:

x = 9#

Step-by-step explanation:

need help with answer just ask me i got yall

4,3,9/4,27/16
what is the 10th term of the sequence

Answers

Answer:

This is a sequence, so we have to move forward step by step

Step-by-step explanation:

4,3,9/4,27/16

Because this sequence has no exponential arithmetic or geometry, we perform the sequence with the help of a matrix

[tex]y = y[/tex]

[tex]x = x[/tex]

[tex]x = 4.4.4.4.4[/tex]

[tex]x = 4[/tex]

Matrix determinants allowed us to achieve both geometric and arithmetic progression by sequence guidance

The answer is

[tex]x \times y = 144 = 614.88[/tex]

Write the vertex form of y = -x^2 + 6x + 6.

Answers

Answer:

y = - (x - 3)² + 15

Step-by-step explanation:

using the method of completing the square

y = x² + 6x + 6 ← factor out - 1 from the first 2 terms

y = - (x² - 6x) + 6

to complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = - (x² + 2(- 3)x + 9 - 9) + 6

  = - (x - 3)² + 9 + 6

  = - (x - 3)² + 15

HELP HELP HELP*. Hei has $1,700 in a retirement account earning 4% interest compounded annually. Each year after the first, she makes additional deposits of $1,700. After 5 years, what was her account balance if she did not make any withdrawals? Round each year's interest to the nearest cent if necessary.

what was account balance after 5 years

Answers

[tex]~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}}\\ ~~~~~~~~~~~~ \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)[/tex]

[tex]\begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill &1700\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=1700\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1\cdot 5}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=1700\left( \cfrac{1.04^5~~ - ~~1}{0.04} \right)(1.04)\implies A\approx 9576.06[/tex]

310, 304, 298, ...
Find the 47th term.

Answers

Answer:

The answer is 34

Step-by-step explanation:

Given;a₁ = 310a₂ = 304a₃ = 298n = 47To Find;a₄₇ = ?Formula;aₙ = a + (n – 1) × d

Now,

Common Difference (d)

d = a₂ – a₁ = 304 – 310 = -6

d = a₃ – a₂ = 298 – 304 = -6

Here, common difference is same everywhere

So,

aₙ = a + (n – 1) × d

a₄₇ = 310 + (47 – 1) × (-6)

a₄₇ = 310 + 46 × (-6)

a₄₇ = 310 – 276

a₄₇ = 34

Thus, The 47th term of this sequence is 34.

A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
$2
$4
$30
$36

Answers

4 dollars is the discount
$36 is the answer because 10% of 40 is 4 and 40-4=36

BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?

Answers

the answer is 253 square feet

Answer:

A = 253 sq ft

Step-by-step explanation:

see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.

Jonas is using a coordinate plane to plan an archaeological dig. He outlines a rectangle with the vertices at (5, 2), (5, 9), (10, 9), and (10, 2). Then he outlines a second rectangle by reflecting the first area across the x-axis and then across the y-axis. Which is a vertex of the second outlined rectangle after completing both reflections?

Answers

Reflecting the archaeological dig implies that the dig is flipped

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

How to determine the vertices of the rectangle

The coordinates of the rectangle are given as:

(5,2) , (5,9) , (10,9) , (10,2)

When reflected across the x and the y axes, the transformation rule is:

[tex](x,y) \to (-x,-y)[/tex]

So, the new coordinates are:

(-5,-2),(-5,-9),(-10,-9),(-10,-2)

This means that:

The vertices of the second outlined rectangle after completing both reflections are (-5,-2),(-5,-9),(-10,-9) and (-10,-2)

Read more about reflection at:

https://brainly.com/question/4289712

What is the coefficient b makes the equation true for any real number x -3 (2x-3) + 5x = bx + 9

Answers

Answer:

b = 0

Step-by-step explanation:

x -3 (2x-3) + 5x = bx + 9

x - 6x +9 + 5x = bx + 9

-9 -9

x - 6x + 5x = bx

-5x + 5x = bx

0 = bx

b/x 0/x

b = 0

Please assist. No links or your account is getting banned

Answers

9⁻³ / 9¹² = 9⁻³⁻¹² = 9⁻¹⁵

Answer:

[tex]9^-^1^5[/tex]

Step-by-step explanation:

[tex]\frac{9^{-3}}{9^{12}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=9^{-3-12}[/tex]

[tex]\mathrm{Subtract\:the\:numbers:}\:-3-12=-15[/tex]

[tex]=9^{-15}[/tex]

Answer [tex]=9^{-15}[/tex]

~Learn with Lenvy~

What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?

Answers

Answer:

105

Step-by-step explanation:

150-30%= 105

Have a wonderful day!

Answer:

The total is $105

Step-by-step explanation:

To get a percentage of a number first convert the percentage to a regular number with a decimal

30.0% would be 0.3 because you move the decimal two spots to the left

you then multiple your new number 0.3 with the original price to get 45

because it is a discount it means we will reduce the price or subtract from it

150 - 45 = 105

I hope this helps

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

81

Step-by-step explanation:

Knowing that;

∠ EHD and ∠FHC are vertical angles.

since, ∠FHC = 81 Thus, ∠EHD = 81

Look at picture below for more information;

~Learn with Lenvy~

Answer:

81

Step-by-step explanation:

Given;

If m ∠FHC = 81 °, then what is m ∠ EHD?

Solve;

∠ EHD and ∠FHC are vertical angles.

Vertical angles ⇒  a pair of opposite angles formed by intersecting lines.

Since, ∠FHC = 81 hence,  ∠EHD  also = 81

[RevyBreeze]

Which expression is equivalent to 113−−−√5?

Answers

Answer:

_

113 -✓5

Step-by-step explanation:

_

113-(-(-✓5))

_

=113-✓5 (decimal:110.763932)

Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.

On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?

The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).

Answers

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation:

I got it right on Edge.

Answer:

The axis of symmetry should be x = 2.

Step-by-step explanation it took the test

a man fences a 5m by 6m rectangular plot to keep in his chickens . the fencing costs $119 per meter. how much does it cost to fence the plot

Answers

Answer: 3570$

Step-by-step explanation:

5 x 6 = 30

30 x 119 = 3570

Find the value of
(-3)
Show work
Must show work!!

Answers

Answer:

16/81

Step-by-step explanation:

(-2/3)^4

expand...

-2/3*-2/3*-2/3*-2/3

multiply

numerator: -2*-2*-2*-2=16

denominator: 3*3*3*3=81

Thus the fraction is 16/81

Hope this helps!!!

Other Questions
A student adds 0. 0030 mol of hcl to 100 ml of a 0. 10 m solution of a r2nh, a weak base. The ph of the solution is found to be 11. 10 the historical context of a work of art from 1850 might be influenced by the ___1 social values of the time2 political climate of the time3 religious practices of today4 cultural beliefs of today Math accelerated chapter 12 volume and surface area A stage has a radius R = 2.00 m and a mass M = 100 kg. The stage, which has a circular disk shape, rotates in a horizontal plane, without any friction, about a vertical axle. Sandra has a mass of m = 60.0 kg and she walks from the rim of the stage toward the center. Calculate the angular speed when she reaches a point r = 0.500 m from the center, if the angular speed of the system is 2.0 rad/s when Sandra is at the rim can anyone help me with this graph "-3n+4 what is 1 half multiplied by (4+8) equal What is the speed of a wave that has a frequency of 440 Hz and a wavelength of 0.78 m? O A. 564 m/s m B. 0.003 m/s C. 343 m/s D. 0.002 m/s why did the oromo population movement succeed Name 5 functions of the Muscles Please help, I dont understand Jonathan and Shaneeka both get paid an equal hourly wage of $12 per hour. This week, Jonathan earned an additional $54 as a bonus. To calculate the total earnings for both Jonathan and Shaneeka, 4 expressions are written in which J represents the number of hours Jonathan worked, and S represents the number of hours Shaneeka worked.Which expression is not correct?A. Expression 1B. Expression 2C. Expression 3D. Expression 4 Please Help me with these 2 questions!! pls helpIf we know that 455 students are in school today and that number represents 70% attendance. Use the following equation .70s=455 to figure out how many students are in the school. *A 650B 318C 485D 620 given that 10022bse 3 is equal to 155base n find the value of n show all workings LOTS OF POINTS + BRAINLIESTSuppose p and q are both prime numbers with p > q. Prove that p-q and p+q cannot both be positive perfect squares.FULL PROOF REQUIRED. Turn the written information into a equation (exponential function):Common ratio of 4; horizontal shift right 6 Whats the difference between 4, 7/9 and 2 1/2 pls help me thank you Please help!!! I will give brainliest. Just please try your best.Jackson has a cube. Each edge of the cube is 5 centimeters long, as shown below.Part AJackson paints every face of the cube. What is the total surface area, in square centimeters, of the cubeJackson paints? Be sure to show your work and explain your reasoning.Part BAfter the paint dries, Jackson cuts the cube in half. He makes the cut along the diagonal of one pair ofparallel faces. Rounded to the nearest thousandth, the diagonal has a length of 7.071 centimeters. Oncethe cut is made, Jackson has two identical triangular prisms.What is the combined area, in square centimeters, of the surfaces of the two prisms that were not painted?Part CJackson has a second cube identical to the first. He cuts off the triangular prism as shown below and throwsit away.What is the volume, in cubic centimeters, of the remaining solid? Show or explain all your work.