Answers
Answer:
[tex]\angle 1+\angle 5 = 90[/tex]
Step-by-step explanation:
Given
The attached plot
Required
Prove that:
[tex]\angle 1+\angle 5 = 90[/tex] --- right angle
From the plot, we have:
[tex]\angle 1+\angle 2 + \angle 3+\angle 4+\angle 5 = 360[/tex] --- angle at a point
[tex]\angle 2+\angle 3 = 180[/tex] --- straight line
[tex]\angle 4 = 90[/tex] --- This divides [tex]\angle 2 + \angle 3[/tex] to equal parts
So, we have:
[tex]\angle 1+\angle 2 + \angle 3+\angle 4+\angle 5 = 360[/tex]
[tex]\angle 1+ (\angle 2 + \angle 3) +(\angle 4)+\angle 5 = 360[/tex]
This gives:
[tex]\angle 1+ 180 +90+\angle 5 = 360[/tex]
[tex]\angle 1+ 270+\angle 5 = 360[/tex]
Collect like terms
[tex]\angle 1+\angle 5 = 360-270[/tex]
[tex]\angle 1+\angle 5 = 90[/tex] --- proved
Related Questions
A rectangle has length of 6 inches and a breath of 4 inches. find the area in2
Answers
Answer:
area of rectangle=length ×breadth
6×424in²hope it helps
stay safe healthy and happy.PLEASE HELP MARKING BRAINLIST
Answers
Answer:
82?
Step-by-step explanation:
Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a great person!!!!
20 POINTS HELP FAST
What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answers
Answer:
https://brainly.com/question/16576809
Step-by-step explanation:
Answer:
144 m2
Step-by-step explanation:
Please help the question and answer choices are in the picture.
Answers
Answer:
B) 20
Step-by-step explanation:
2808 lb. / 140 lb. ≈ 20
4
7/1
Joe has been given two cubes. One cube has on of the following letters A, B, C, D, E, and Fon each side. The
other cube has one of the following numbers 1, 2, 3, 4, 5, 6, 7 and 8 on each side. If Joe rolls both cubes, what is
the probability of rolling the letter A and an odd number?
Answers
Angle Relationships
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The cosine of the complimentary angle of 60°
a. 0.50
b. 0.86
c. 0.25
d. 0.71
Please select the beast answer from the choices provided
Answers
Answer:
B. 0.86
Step-by-step explanation:
I calculated it logically
Write 3 and 4/100 as a decimal?
Answers
Answer:
3 4/100 is equal to 3.04 in decimal form
Step-by-step explanation:
branliest please and thank you
Answer: 3.04
Step-by-step explanation:
Please help me with this
Answers
Answer:
3/4 of 5/6
Step-by-step explanation:
The darker area is overlapping the lighter area.
The lighter area is shading 5/6 of the grid, and the darker area is overlapping 3/4 of the lighter area. This is 3/4 of 5/6
Answer:
Step-by-step explanation:
3/4 of 5/6
Violet bought 7 air filters at the store. Each filter cost $18.85. Violet used a coupon for $5.50 off her total cost of the air filters. How much did Violet pay for these 7 air filters? *
1 point
$31.35
$137.45
$126.45
$93.45
help me plz so much i really really need this todayy asap
Answers
7x18.85 - coupon
A submarine was 350 feet below sea level. Then, it rose 75 feet, before diving back down another 100 feet. What is the current elevation of the submarine?
Answers
Since this is talking about BELOW sea level, you would subtract 75 from 350 instead of adding, which would give you 275. Then, you would add 100 to that instead of subtracting, which gives to 375.
the radius of a circle is 6cm what is the diameter circumference and area of the formula?
Answers
Answer:
Diameter: 12
Circumference: 37.68
Area: 113.04
Step-by-step explanation:
The radius of the circle is 6 cm.
To find the diameter of a circle, multiply the radius by 2.
6 × 2 = 12.
12 is the diameter.
----------------------------------------------------------------------------------------------------------------
Formula for the circumference of a circle: πd (diameter).
In other words, to find the circumference of a circle, multiply the diameter by pi.
**3.14 IS A SUBSTITUTE FOR PI**
12 × 3.14 = 37.68
Therefore, 37.68 cm is the area of the circle.
----------------------------------------------------------------------------------------------------------------
Formula for area of a circle: πr² (r = radius).
3.14 × 6 × 6 = 113.04
Therefore, 113.04 cm² is the area of the circle.
2% Of 144.4 is what is what
Answers
Choose all the numbers that are common multiples of 4 and 9.
Answers
Step-by-step explanation:
4,8,12,16,32,36,
9,18,27,36,45,..
A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the paper.
Country Sugar Consumption Depression Rate
Korea 140 2.4
United States 310 3.1
France 360 4.5
Germany 385 5.1
Canada 400 5.1
New Zealand 470 5.8
Required:
a. Calculate the correlation coefficient for this data set.
b. Interpret the correlation coefficient for this data set.
c. Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain.
Answers
Answer:
Following are the responses to these question:
Step-by-step explanation:
In point a:
In the excel sheet with the information, you've been provided. The below is the output of the [tex]CORREL(B2:B7, C2:C7)[/tex] formula for determining correlation coefficients:
[tex]\to r=0.0762[/tex]
It was a good thing that there's a connection between the two. For both depression and sugar intake, there is a weak positive linear relationship.
In point b:
Yes, It's fair to assume which increased sugar intake leads to increased depression rates.
In point c:
Yes, This sample of countries does not appear to be reflective of an entire world. As a result, the inference could be applied to all countries.
Pls help me I really need to pass
Answers
Answer:
A. 31 Km
Step-by-step explanation:
[tex]circumference = 2\pi \:r[/tex]
radius equals the diameter divided by 2
[tex]r = \frac{d}{2} [/tex]
In this case the diameter is 10, so the radius is 5.
finally,
[tex]2\pi(5) = 31.415[/tex]
rounded to the nearest whole number gives us
31 Km.
use the formula circumference = 2×π× radius, where π is approximately 3.14, to answer the question
A. 7.9 in
B. 15.7 in
C. 31.4 in
D. 62.8 in
Answers
Answer:
The correct answer is C. 31.4
Step-by-step explanation:
A cruise ship can cover 19 nautical miles in 342 minutes. How many nautical miles will it travel in 270 minutes? HELP ASAP
Answers
Answer:
15 nautic miles, a simple proportion
19:342=x:270
Step-by-step explanation:
Your welcome :)
Help please I don’t get this problem
Answers
9514 1404 393
Answer:
920 square feet
Step-by-step explanation:
The surface area is the sum of the areas of the different surfaces of the solid. This solid has 5 surfaces: 2 triangular bases and 3 rectangular faces.
The area of a triangle is given by the formula ...
A = 1/2·bh . . . . . where b is the base of the triangle, and h is its height
The dimensions shown on the "front" of the figure tell you the triangle has a base of 15 ft and a height of 8 ft. Its area is ...
A = (1/2)(15 ft)(8 ft) = 60 ft²
__
The rectangular faces all have a width of 20 ft. So, the sum of their rectangular areas will be that width multiplied by the sum of their lengths. We call this the "lateral area" of the prism.
lateral area = (base perimeter) × (prism width)
= (8 ft + 15 ft + 17 ft) × (20 ft) = 800 ft²
The sum of the areas of the two base triangles and the lateral area is the total surface area of the figure:
total area = 2×60 ft² + 800 ft²
total area = 920 ft²
Sixty percent of the flowers in Karen’s garden are roses. Which of the following shows 60% roses?
Answers
Answer:
a
Step-by-step explanation:
cause is 60 percent
Answer the question please
Answers
explanation: the top square is 3x2=6 and the bottom one is 8x5=40
which statement best describes the histogram shown?
a. The histogram is skewed right
b. The histogram is skewed left
c. The histogram is symmetric
d. The histogram is uniform
Answers
I think???
Answer:
It's A
Step-by-step explanation:
This is the floor plan of Andrew’s toy room. Andrew needs to determine the area of the floor so he can order new wood flooring. Enter the area, in square feet, of Andrew’s toy room floor.
Answers
Answer:
should be 76
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 5*7=35
rec 2: (8-3.5)*(11-5-4)=9
rec 3:4*8=32
Then:
35+9+32=76
Which is larger? The measure of a central angle of a circle that intercepts a 68 degrees arc or the measure an inscribed angle of a circle that intercepts a 68 degrees arc. Explain.
Answers
9514 1404 393
Answer:
the central angle
Step-by-step explanation:
The measure of the central angle is the same as that of the arc: 68°. The measure of the inscribed angle is half the measure of the arc: 68°/2 = 34°. The central angle is larger.
_____
Additional comment
Consider the chord between the end points of the arc. Any inscribed angle whose vertex is on the long arc between the ends of the chord will have the same measure: 34°. If the vertex is moved off that long arc into the interior of the circle, the angle increases in size. When the vertex is at the center of the circle, the angle measure is the same as the arc measure: 68°. As the vertex approaches the chord, the measure of the angle increases. It becomes 180° when the vertex is on the chord, forming a straight angle.
The smallest angle that can be made with the chord ends and a vertex inside the circle is the inscribed angle. So, the central angle is larger.
which equation is represented by the graph below
Answers
Find the derivative of f(x) = 4x + 7 at x = 5.
Answers
Answer:
4 or x=3
Step-by-step explanation:
The power rule is
( d /d x ) x *n = n x *n − 1
I just used the power rule to solve
or
4x=5+7
Simplify 5+7 to 12
4x=12
Divide both sides by 4
x=12/4
Simplify 12/4 to 3
x=3
(Sorry if it wasn't what you were looking for)
if 8 chairs cost $1,064 what is the cost of 11 chairs
Answers
Describe a compound event that has a probability between 50% and 80%.
Answers
Answer:
r=4.5 I hope this helped!
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
HELP ASAPPP! I WILL GIVE BRAINLIEST!
PICTURE BELOW.
PLEASE DO NOT PUT ANY NONE RELATED ANSWERS OR YOU WILL BE REPORTED !!
Answers
Answer:
Polygon A: A, D, E
Polygon B: F, G, H
Polygon C: K, L, M, N, O
Polygon D: S, T
Step-by-step explanation:
HELP please! This is for a test.
Today (Week 0), a certain flower is 0.75 foot tall. Each week, the flower will grow 25% taller than it was the week before. In the function below, t is the number of weeks from today and h(t) is the predicted height after t weeks.
What will the average rate of change be from Week 0 to Week 5?
A. 0.31 foot per week
B. 3.25 feet per week
C. 0.27 foot per week
D. 1.54 feet per week
Answers
Answer:
D 1.54 feet per week is the awnser
Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the diving board. How far is Paula from the surface of the water:
1. What integer represents Paula's starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula's distance below the water's surface
4. At the end of her dive, Paula is ____feet below the surface of the water
5. Yolanda owes her friend $15. She also earns $8 each week in allowance. Write and solve an addition equation to show how the total amount of money that Yolanda has will change if she pays her friend back this week.
Answers
1) The integer representing Paula's starting height above the water is 2.
2) The integer that represents the total distance Paula descends is 7.
3) An addition expression to represent Paula's distance below the water's surface is 2 + 3.
4) At the end of her dive, Paula is 5 feet below the surface of the water.
5) If Yolanda pays her friend back this week, she will owe her only $7.
What is an integer?An integer is a whole number. It can be positive, negative, or zero but without fractions.
Addition expressions combine two or more addends with the addition operand and equation mark (=) to determine the sum (or the result of the addition operation).
Paula:Height of diving board = 2 feet
Depth of descent below the diving board = 7 feet
Distance below the water's surface = 5 feet (7 - 2)
5 feet = 2 + 3
Yolanda:Debt to a friend = $15
Earnings per week = $8
Total amount after paying friend = 8 - 15
= -$7
Learn more about addition operations at https://brainly.com/question/4721701
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