C
A hexagon ABCDEF is shown.
115°
D
B
145°
Angle CDE is twice the size of angle DEF.
E
Work out the size of angle CDE.
You must show all your working.
160°
F
Total marks: 5
Answers
Answer:
since the sum of interior angles of hexagon is 720 °
you add the known angles
ie 115 +90+145+160
you get 510
subtract it from 720
you get 210
divide 210 by 3
you get 70
angle cde is 140
Answer:
∠ CDE = 140°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let ∠ DEF be x then ∠ CDE = 2x
sum the interior angles and equate to 720
160 + 90 + 145 + 115 + 2x + x = 720 , that is
510 + 3x = 720 ( subtract 510 from both sides )
3x = 210 ( divide both sides by 3 )
x = 70
Then
∠ CDE = 2x = 2 × 70 = 140°
Related Questions
#8 A boogie board that has a regular price of $70 is on sale at a 35% discount. Find the selling price.
Answers
Answer:
45.5
Step-by-step explanation:
To find 35% of 70, you have to use the equation...
70 x 35/100
70 x 35 = 2,450
2,450/100 = 24.5
24.5 is 35% of 70, so the item is now $24.5 less than the original price.
70 - 24.5 = 45.5
The selling price is $45.5
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.
Answers
Answer:
3
Step-by-step explanation:
What is the slope of this line? Please answer quick
Answers
Answer:
the slope is 2
Step-by-step explanation: the slope is the rise over run
The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.
Which of the following is an equation of a line that is parallel to one whose equation is y = 5x - 3?
Answers
If the lowest price in the past year occurred 48 days ago, find the approximate average change per day since then.
Answers
Answer:
0.72
Step-by-step explanation:
According to the stock listing mentioned in the listing for Enam Telecom is
52 wk high = 122.86
52 wk low = 64.77
Div. = 3.45
Close = 99.14
Net change = 4.74
Now it is mentioned that lesser price i.e. 64.77 arised 48 days ago.
As yesterday closing price was 99.14
So, the net change in value would be
= 99.14 - 64.77
= 34.37
For 48 days, the average change per day would be
= Total change ÷ number of days
= 34.37 ÷ 48
= 0.716
= 0.72
Answer:
is B. 0.72I
Step-by-step explanation:
Edge 2022
Find the equation of the line containing the points (-2,0), (4, 18) and (5,21).
Answers
Answer:
y=3x+6
Step-by-step explanation:
Convert the equation into standard form.
25x2 – 9y2 + 200x + 18y + 166 = 0
StartFraction (x minus 8) squared Over 9 EndFraction minus StartFraction (y + 2) squared Over 25 EndFraction = 1
It's D on edge
Answers
Answer:
d
Step-by-step explanation:
it says it in the question lol
Answer:
The answe is D on edge
Step-by-step explanation:
help please!! i need this asap
Answers
Answer:
8x=20
Step-by-step explanation:
Answer:
Option A.
Step-by-step explanation:
8x=20 will give you the value of x.
Only one answer one choice
Answers
Answer:
I believe B
Step-by-step explanation:
sorry if wrong and if it is I'll give you back your points
Sonia Oopsmeyer, who is proud of how fast she can punch numbers into her calculator, divided a number by 40 instead of multiplying it by 40. Her answer, which was wrong, was 20. What is the correcr answer? Describe the steps you took to find the correct answer.
Answers
Answer:
320
Step-by-step explanation:
x is the mystery number
x÷40=20
20x40=80
80=x
80x40=320
hope this helps
10) A circle has center at (-5, 3) and passes through the point (-1, 3).
a) Give the radius of the circle.
b) Give the equation of the circle described.
Answers
b) (x+5)^2+(y-3)^2=4^2
The distance between the x values in the center point and a point included in the graph will give you the radius.
The x values are 4 units apart (-5 to -1) so your radius is 4 units
Circle formula:
(x-h)^2+(y-k)^2=r^2
Where (h,k) is the center point and r is the radius
Replace h with -5, k with 3, and r with 4 to get equation listed in answer above
Hope this helps!!
cos A =
option 1: 40/9
option 2: 9/41
option 3: 40/41
option 4: 41/40
which is the correct answer?
Answers
Answer:
option 2: [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
SOH CAH TOA
cos = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos A = [tex]\frac{9}{41}[/tex]
if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
angle in degrees
Answers
Answer:
25
Step-by-step explanation:
Please help me with the correct answers!!
Answers
Answer:
circle
rectangle, or possibly a square
triangle
square
Step-by-step explanation:
What does the time say ?
Answers
Answer: it’s 6:00 pm
Step-by-step explanation:
Solve for y .−5y−8(−7y+4)=−7−9(2−y)
asap
Answers
Answer:
y = 7/50
Step-by-step explanation:
-5y + 56y - 32 = -7 - 18 + y
50y = -25 + 32
50y = 7
y = 7/50
Answer:
[tex] \frac{1}{2} [/tex]
Step-by-step explanation:
Open the bracket
[tex] - 5y + 56y - 32 = 7 - 18 + 9y[/tex]Collect the like terms
[tex]51y - 9y = - 11 + 32[/tex]
[tex]42y = 21[/tex]
Divide both sides by 42
[tex]y = \frac{21}{42} [/tex]
[tex]y = \frac{1}{2} [/tex]
Help ASAP please.due in a few minutes.
Answers
Answer:
Rumble charters
Step-by-step explanation:
OK bus line:
55 +3.50(25)
55+87.5
=142.50
Rumble charters:
75+2.25(25)
75+56.25
=131.25
From looking at the steps we could tell that Rumble charters bus line would be cheaper.
its the second one
Step-by-step explanation:
1. 3.50×25+55=142.5
2. 2.25×25+75=131.25
LMNP is roatated 90 degrees clockwise around the origin
Answers
It would be c, (1, 0)
Answer:
C. L'(1, 0)
Step-by-step explanation:
Abigail is 54 inches tall. Which of the following is Abigail's height?
Answers
Answer:
If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches
~hope this has helped you out, have a gr8 day!~
Step-by-step explanation:
A tessellation has 2 pairs of congruent angles around the point of intersection. The measure of each of one pair of congruent angles is 28∘. What is the measure of each one of the other pair of congruent angles? The measure of each one of the other pair of congruent angles is
Answers
9514 1404 393
Answer:
152°
Step-by-step explanation:
If two pairs of congruent angles total 360°, then the different angles must total 180°. The other angle measure is 180° -28° = 152°.
The measure of each angle in the other congruent pair is 152°.
The area of a circle is 81 pi in2 what is the circumference in inches express ur answer in terms of pi
Answers
Answer:
Circumference of circle = 18π inches
Step-by-step explanation:
Given the following data;
Area of circle = 81π in²
To find the circumference;
First of all, we would find the radius of the circle using the area of circle formula.
Area of circle = πr²
Substituting into the formula, we have:
81π = πr²
Dividing both sides by π, we have;
81 = r²
Taking the square root of both sides, we have;
r = 9 inches
Now, to find the circumference of the circle;
Circumference of circle = 2πr
Circumference of circle = 2*π*9
Circumference of circle = 18π inches.
How does h(t) change over the interval from t=0 to t 1
Answers
Answer:
h(-1)=-3 h(2)=12 average age of change =12-(-3)2
Step-by-step explanation:
14 cm
6 cm
4 cm
What is the volume of the right rectangular prism?
Answers
Answer: 336
Step-by-step explanation:
Multiply all three numbers
Last week the waiter received $80 in tips. This week the waiter received $63 in tips. What is the percent decrease in tips from last week to this week?
A 0.21%
B 21%
C 22%
D 27%
Answers
Answer:
21.25%
Step-by-step explanation:
To find the percent decrease, take the original amount and subtract the new amount
80-63 = 17
Divide this by the original amount
17/80 =.2125
Multiply by 100 to change to a percent
21.25%
Use the Distributive Property to simplify the expression. 4 (c+3)
Answers
Answer:
4c+12
Step-by-step explanation:
Answer:
4c+12
Step-by-step explanation:
Hi there!
The Distributive Property states that
a(b+c)=ab+ac
We multiply a by b and c.
Now, let's multiply 4 by c and 3:
4(c+3)
4c+12 (Answer)
Hope it helps.
Enjoy your day!
-Sparkle-
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Which equation represents the situation? " A number decreased by 11 is equal to 48."
Lila and Drew want to buy their mom a gift that costs $30. Raquel has $18 saved already, how much does Drew need to save to pay for the gift?
Let d = the amount that Drew has to save to help buy the gift.
Which equation can be used to solve the problem. Equation
How much money does Drew need to save so they could buy the gift?
Answers
x - 11 = 48
Lila and Drew:
18 + d = 30
To solve, subtract 18 from both sides of the equation. That gives you:
d = 12
Drew needs to save $12
Rewrite the following using the Associative Property of Addition: (a + b) + c
Answers
Answer:
(a + b) + c = a + (b + c)
Step-by-step explanation:
this property states that when performing addition, how number or letter are group with not change the result
Please hurry this is 7th grade hon
Answers
Answer:
1. place the circle on -1
2. open circle
3. Left
Step-by-step explanation:
An interior designer wants to place this bed in a home, and she is especially concerned about the headboard, which is 6 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 7 feet wide and 9 feet tall. She needs to know the area of the space that will remain after she places the bed against the wall
Answers
Answer:
Step-by-step explanation:
Area of the Wall minus the Area of the headboard
Area = length x width in this use tall as length and wide as width
Area Wall - Area Headboard = (Tall wall)(Wide wall) - (Tall head)(Wide head)
= (9)(7) - (5)(6) feet
= 63 - 30 feet
= ???? I'll let you finish it
The area of the space that will remain after she places the bed against the wall is 30 feet².
What is Area?Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.
We have,
The headboard, which is 6 feet wide and 5 feet tall.
The headboard on a wall that is 7 feet wide and 9 feet tall.
So, Area of remaining space
= Area of the Wall - Area of the headboard
= (9)(7) - (5)(6) feet
= 63 - 30
= 30 feet²
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ5
factor 18s-63
A 9(2s+7)
B 6(3s-11)
C 18(s-3)
D 9(2s-7)
Answers
Answer:
it's D
Step-by-step explanation:
pls give me da crown