Answers
What you're looking at in this image are two alternate exterior angles.
Alternate exterior angles, are, essentially, exterior angles of a transversal that runs through two parallel lines. These angles are on alternating sides. These angles, assuming the lines are parallel, must be equal.
There's a proof behind why these angles are equal, but I won't bore you with the specifics as the question doesn't require it.
So - we know that these two angles must be equal to prove that the lines A and B are parallel. Knowing this, we can write an equation:
5x + 20 = 3x + 60
Subtract 20 from both sides:
5x + 20 - 20 = 3x + 60 - 20
5x = 3x + 40
Subtract 3x from both sides:
5x - 3x = 3x - 3x + 40
2x = 40
x = 20
If you have any questions on how I got to the answer, just ask!
- breezyツ
Related Questions
what would the circumference be of a circle if the radius is 14
Answers
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answers
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answers
Answer:
edf
Step-by-step explanation:
Sorry if it’s wrong
Simplify the following expression.
(3x−6)+(5x−5)
PLEASE I NEED HELP
Answers
Answer:
8x-11
Step-by-step explanation:
3x+5x=8x
-6+-5=-11
8x-11
Answer:
8x-11 hope nthisbelps sorry if im wrong
Step-by-step explanation:
Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]
Answers
Answer:
x = (9√2)/2
Step-by-step explanation:
Reference angle = 45°
Hypotenuse length = 9
Adjacent length = x
Apply the trigonometric ratio CAH:
Cos 45° = Adj/Hyp
Cos 45° = x/9
Multiply both sides by 9
9*Cos 45 = x
9*1/√2 = x (cos 45 = 1/√2)
9/√2 = x
Rationalize
(9*√2)/2 = x
x = (9√2)/2
Plz help me by solving this problem and showing how you got it
Answers
Answer:
y =84
Step-by-step explanation:
25/100*Y = 21
100/25 * 25y/100 =21 *100/25
y = 2100/25
y = 84
Steps:
25% of blank is 21
Of means multiply
Is means equals
To change a percent to a decimal move the decimal place tow spots to the left
25% of blank is 21
25% * x = 21
0.25 * x = 21
x = 21 / 0.25
x = 84
Check:
0.25 * x = 21
0.25 * 84 = 21
21 = 21 ✅
If this was helpful and correct I would appreciate the brainliest! :)
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units
Answers
Answer:
45 sq. units
Step-by-step explanation:
3x5=15
15x3=45
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answers
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
Do think it is A, B, C, D?
Answers
Answer:
D
Step-by-step explanation:
the 80*10=800
8 in 183= 80
8 in 4879 = 800
sinx dx+y[tex]sinx dx+y^{2} dy=0
Answers
Chow do I solve 6w - 6 = 54
Answers
Answer:
w = 10
Step-by-step explanation:
6w - 6 = 54
6w = 54 + 6
6w = 60
w = 60/6
w = 10
2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x
Answers
Answer:
What is your question
Step-by-step explanation:
solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation
Answers
Step-by-step explanation:
hope it helps
see attached
Find the side length of a square with an area of 1521 m².
Answers
Answer:
39
Step-by-step explanation:
a=A=1521=39
I NEED AN ANSWER PLS-
Answers
Answer:
-8,4
Step-by-step explanation:
Find the surface area of a cylinder with a base diameter of 10 in and a height of 8 in.
Answers
Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?
Answers
Answer:
The necessary sample size is of 5683.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.
This means that [tex]\pi = 0.3[/tex]
The estimate is to be within 1% of the population proportion. What is the necessary sample size?
A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 5682.6[/tex]
Rounding up:
The necessary sample size is of 5683.
100Points! show work
Answers
Using angle sum property
[tex]\\ \sf\longmapsto x+43+73+70=180[/tex]
[tex]\\ \sf\longmapsto x+43+143=180[/tex]
[tex]\\ \sf\longmapsto x+186=180[/tex]
[tex]\\ \sf\longmapsto x=180-186[/tex]
[tex]\\ \sf\longmapsto x=-6[/tex]
Option C is correct
Sum of angles of any triangle is 180°
x+43+73+70=180x+186=180x=180-186x=-6Option C
Leo deposited $3,316.25 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?
Express your answer rounded correctly to the nearest cent. Do not include units on your answer.
please help
Answers
Answer:
interest=P(1+r/100)^n-P
interest=3316.25(1+2.5/5200)^676-3316.25
=1273.18 (nearest cent)
Les 2/3 de 9Litres ?
Answers
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
Find the value of x in the parallelogram below.
Answers
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
Determine whether the figure has line, point, and/or rotational symmetry.
Answers
Answer: do you have a picure to go with it sorry im not getting it?
Step-by-step explanation:
The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?
Answers
Answer:
Height of computer screen in inches = 8.48 inches (Approx.)
Step-by-step explanation:
Given:
Diagonal of screen of laptop computer = 19 inches
Width of screen of laptop = 17 inches
Find:
Height of computer screen in inches
Computation:
Screen diagonal, width and height makes a right angle triangle
So,
Using Pythagoras theorem;
Perpendicular = √Hypoteneus² - Base²
Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²
Height of computer screen in inches = √(19)² - (17)²
Height of computer screen in inches = √361 - 289
Height of computer screen in inches = 8.48 inches (Approx.)
The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)
Answers
Answer:
Step-by-step explanation:
From the given table,
Ratio of each successive term in the row showing salary (y) is,
Ratio = [tex]\frac{30}{15}[/tex] = 2
Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.
y = a(b)ˣ
For x = 0, y = 15,
15 = a(b)⁰
a = 15
For x = 1, y = 30,
30 = 15(b)¹
b = 2
Therefore, exponential function Or exponential model will be,
y = 15(2)ˣ
Projected salary in 9 years [For x = 9],
y = 15(2)⁹
y = 15 × 512
y = $7680
For the salary more than $3 million [For y = $3000000],
3000000 = 15(2)ˣ
2ˣ = 200000
log(2)ˣ = log(200000)
xlog2 = log(2×10⁵)
xlog2 = log2 + log(10)⁵
(x - 1)log2 = 5
x - 1 = [tex]\frac{5}{\text{log2}}[/tex]
x = 16.609 + 1
x = 17.609
x ≈ 17.61 years
Myles has a room that is 300 m². If he wants to tile the room using 5 cm x 5 cm tiles, how many whole tiles will he have to use?
Answers
Answer:
Number of whole tiles need = 120,000 tiles
Step-by-step explanation:
Given:
Area of room = 300 m²
Dimension of each tile = 5cm x 5cm
Find:
Number of whole tiles need
Computation:
Dimension of tile in meter = 5 /100 = 0.05 m
Area of each tile = 0.05 x 0.05
Area of each tile = 0.0025 m²
Number of whole tiles need = Area of room / Area of each tile
Number of whole tiles need = 300 / 0.0025
Number of whole tiles need = 120,000 tiles
Total 120,000 tiles need to cover 300 m² room.
4) What is the perimeter of a square that has an area of 262.44 feet?
Answers
Answer:
64.8 ft
Step-by-step explanation:
A square has all its sides equal
Therefore to get one side from its area is simply finding the square root of its area
√262.44=16.2ft
Having the one side then perimeter= to the four equal sides × the dimensions of one side
=4×16.2
=64.8 ft
What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers
Answers
Answer:
perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)
Step-by-step explanation:
Or use the formula P = 4a = 4(3) = 12 (cm)
Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?
Answers
Answer:
the can that costs 8.44 is a better buy
Step-by-step explanation:
Answer:
the 24 can pack
Step-by-step explanation:
2.85 x 4 = 11.4
$11.4 is more expensive than $8.44
ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP
Answers
Answer:
128
Step-by-step explanation:
Do 10*8=80
8*6=38 48/2=24
80+24+24
104+24
128
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answers
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself