----------------------------------
1)
Fact :: Reason
∠DCE = 90° :: sin ∠EDC = sin 30° = 1/2 = 8/16 = CE/DE
∠ACB = 90° :: ∠DCE and ∠ACB are vertical angles
∠ABC = 60° :: 180 - ∠CAB - ∠ACB = 60°
∠CED = 60° :: 180 - ∠EDC - ∠DCE = 60°
△CDE ⁓ △ABC :: Same angles (AAA)
2)
Let's solve for AB
sin 30° = 1/2
sin 30° = BC/AB = 15/AB
1/2 = 15/AB ⇒ AB = 30
AB = 30 in
Let's solve for AC (using another way)
AC/12 = 15/8
AC = 12 * 15 / 8 = 22.5
AC = 22.5 in
------------------------------------
Hope I could help you! If there was anything you didn't understand, don't be afraid to ask in the comments below!
Have a good day! (●'◡'●)
Write the slope-intercept form of the equation of the line that has a slope of -6 and passes through the point (6,4).
Answer:
y= -6x+40
Step-by-step explanation:
Change 5400 millilitres to litres.
Answer:
1 ml = 0.001 litres
5400 ml = 5.4 litres
Plz help me with this question
Answer: KJ becuase it is the first two like on but put backwards.
Graph the inequality x>13.
Answer:
The graph is attached.
Step-by-step explanation:
The open circle is because the inequality sign is >. If the sign is > or <, the circle is plotted open. If the sign is [tex]\geq[/tex] or [tex]\leq[/tex], the circle is plotted closed.
The sign is greater than, so the arrow is pointed to the right (where the numbers are going up).
The circle is plotted between 12 and 14 because that is point 13, like the inequality says.
Hope it helps!
I need help it’s due in 30 minutes
Answer:
yeet
Step-by-step
i dont know
ABCD is a parallelogram.
AD = 12 cm.
DC = 9 cm.
The perpendicular distance of
from CD is 8 cm.
What is the perpendicular distance of AD from BC?
9514 1404 393
Answer:
6 cm
Step-by-step explanation:
The area of the parallelogram is the same, either way you figure it.
A = bh
A = CD(length ⊥ to CD)
A = (9 cm)(8 cm) = 72 cm²
__
A = AD(length ⊥ AD)
72 cm² = (12 cm)(length ⊥ AD)
(length ⊥ AD) = (72 cm²)/(12 cm) = 6 cm
The perpendicular distance of AD from BC is 6 cm.
help .... me .... asap ....
9514 1404 393
Answer:
x = 58
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
(160° -x°)/2 = 51°
160 -102 = x = 58
i need help ! i will give u brainliest
2. A bicycle trail is 65 miles long. Rashid
has already ridden 30 miles. How
many more miles does he need to
ride to reach the end of the trail?
Answer:
35 more miles
Please help me with this sheet asap!!!!b
Step-by-step explanation:
1)
SA= 2 (Length x Breadth + breadth x height + Length x height)
SA= 2(2*5+5*6+6*2)=2(10+30+12)=104cm^2
2)
2(3*4+4*5+5*3)= 2(12+20+15)=94cm^2
3)
2(7*9+9*12+12*7)=2(63+108+84)= 510cm^2
4)
SA=
[tex]A=2πrh+2π {r}^{2}
[tex]A=2πrh+2π {r}^{2} [/tex]
= 2π 6*5+2π6*6= 188.495+226.194
SA= 414.689 cm^2
5)
2π7*4+2π*4*4=
SA=276.46 cm^2
6)
2π6*4+2π*4*4=
SA= 251.33 cm^2
7)
(3*4)/2=6
(3*4)/2=6
(3*8)=24
4*8=32
8*5=40
SA =6+6+24+32+40=108 cm^2
8)
(6*8)/2=24
(6*8)/2=24
6*12=72
8*12=96
10*12=120
SA= 24+24+72+96+120= 336 cm^2
9)
(5*12)/2=30
(5*12)/2=30
5*8=40
12*8=96
13*8=104
SA= 30+30+40+96+104= 300 cm^2
If y = - 3x + 5, what is y when
X=2/3?
Select one:
7
-1
3
11
Answer:
y = 3 may I please get brainliest?
Step-by-step explanation:
y= -3x+5
y= -3(2/3)+5
-3(2/3) = -2
y= -2+5
-2+5 = 3
y=3
what is 5+2 x 34-19+85-23
Answer:
116
Hope this helps you :)
i need help, can someone please help!
Answer:
(25 x 3) - 14 = 61!
Step-by-step explanation:
The function F represents the revenue in dollars the school can expect to receive if it sells 220-12× coffee mugs for dollars each.
Options B,D, and E are correct as per the given Function of the revenue.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
A. At $2 per coffee mug, the revenue will be $196.
This statement is incorrect.
If the price per mug is $2, then the revenue would be (220 - 12x) * 2. If x = 12 (i.e. 12 mugs are sold), then the revenue would be (220 - 12(12)) * 2 = $176.
B. The school expects to sell 160 mugs if the price is $5 each.
This statement is correct.
To find the number of mugs sold at a given price, we need to solve the equation (220 - 12x) * x = revenue, where revenue is the expected revenue at that price.
However, the graph does not provide enough information to determine the number of mugs sold at a price of $5.
C. The school will lose money if it sells the mugs for more than $10 each.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases, up to a maximum revenue of about $1,000 when the price is $10 per mug. Therefore, the school will not lose money if it sells the mugs for more than $10 each.
D. The school will earn about $1,000 if it sells the mugs for $10 each.
This statement is correct. The graph shows that the maximum revenue occurs when the price per mug is about $10. At this price, the revenue is approximately $1,000.
E. The revenue will be more than $700 if the price is between $4 and $14.
This statement is correct.
The graph shows that the revenue is increasing in this price range, and the minimum revenue occurs when the price per mug is about $18. Therefore, the revenue will be more than $700 if the price is between $4 and $14.
F. The expected revenue will increase if the price per mug is greater than $10.
This statement is incorrect. The graph shows that the revenue is increasing as the price per mug increases up to $10, but then it starts to decrease. Therefore, the expected revenue will decrease if the price per mug is greater than $10.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ1
Complete question:
will give brainliest If one angle of a parallelogram measures 90°, what else must be true about the figure? Select all that apply.
a It must be a rectangle.
b Only one other interior angle must be 90°.
c The diagonals are congruent.
d It must be a square.
e All three remaining interior angles must be 90°.
Answer:
E
Step-by-step explanation:
If correct plz mark as brainliest
thank you
19NBoli
:)
Fill in the table using this function rule.
y=26-4x
The complets table of values for the function rule
x 1 2 4 6
y 22 18 10 2
Completing the table of values for the function ruleFrom the question, we have the following parameters that can be used in our computation:
y = 26 - 4x
The missing y values are at x = 1, 2, 4 and x = 6
Substitute the known values in the above equation, so, we have the following representation
y = 26 - 4(1) = 22
y = 26 - 4(2) = 18
y = 26 - 4(3) = 10
y = 26 - 4(6) = 2
So, the missing values are 22, 18. 10 and 2
Read more about linear relation at
brainly.com/question/30318449
#SPJ6
6. Devon draws one marble from
a bag containing 5 red, 3 green,
and 4 yellow marbles. What is the
probability that Devon draws a
green marble?
Answer: Probability: 3/12 or 1/4
Step-by-step explanation:
Help. It’s like 10 points.
Answer:
Step-by-step explanation:
Step 1. It should say that 9 squared + b squared equals 15 squared, where 15 should be c since it’s the hypotenuse.
Henry made a scale model of a submarine. The submarine has an actual height of 75 feet. Henry’s model used a scale in which 1 inch represents 5 feet. What is the height in inches of Henry's model?
Answer: 180 Inchs
Reason:
75 / 5
180 Inchs = 15 Feet
-DoggyMan5
PLZZ help me !funurn
Answer:
12/25
Step-by-step explanation:
Can someone pls help me
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{Your GUIDE}\huge\downarrow[/tex]
[tex]\large\text{The DISTRIBUTIVE FORMULA is......}\\\large\text{a(b + c)}\\\large\text{a(b) + a(c)}}\\\large\text{a(b) = ab}\\\large\text{a(c)=ac}\\\large\text{= \underline{ab + ac}}[/tex]
[tex]\text{Now lets SOLVE for your QUESTION, shall we?}}[/tex]
[tex]\large\text{\bf{9(2n +1)}}\\ \large\text{\bf{9(2n) +9(1)}}\\\arge\text{\bf{9(2n)=18n}}\\\large\text{\bf{9(1)=9}}\\\large\text{\bf{= \underline{18n+9}}}}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 18n +9}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can somebody help me?
Answer:
The last two
Step-by-step explanation:
x= 0.6·25
60/100= x/25
what is the equation for this table ?
Answer:
y=-2x+5
Step-by-step explanation:
That is the equation ^
Answer:
y=-2x+5
Step-by-step explanation:
np :)
help..... simply this fraction
[tex] \frac{22}{40} [/tex]
Answer:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
11/20
Decimal Form:
0.55
22/40
Factor 2 out of 22.
2(11)/40
Cancel the common factors.
Tap for more steps...
11/20
The result can be shown in multiple forms.
Exact Form:
11/20
Decimal Form:0.55
Step-by-step explanation:
Hope it is helpful....
What is the slope of a line that passes through the points (-2, 4) and (-6, 12)?
Answer: Slope = -2
Step-by-step explanation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m = \frac{12-4}{-6-(-2)}[/tex]
[tex]m = \frac{8}{-4}[/tex]
[tex]m = -2[/tex]
Answer:
it would be -2
Step-by-step explanation:
Jose ran 5 miles on Monday, 12 miles on Tuesday and Wednesday. How many miles did he ran in total
Answer:
17 miles over the course of 3 days
Step-by-step explanation:
Not gonna say nothing else nope nothing
Answer:
440 Cubic Inches.
Step-by-step explanation:
you just times all of them to get the answer. Have A Great Day!
Answer:
440in
Step-by-step explanation:
HELP ASAP!! PLS HELP IM BEGGING YOU PLS PLS PLS!! (BRIANLIST)
What is the equation of the line that passes through the point (5, 0) and has a
slope of -1?
Answer:
y-0= -1(x-5)
y= -x+5
x+y-5=0
Answer:
y=-x+5
Step-by-step explanation:
y-y1=m(x-x1)
y-0=-1(x-5)
y=-x+5
The perimeter of a regular nonagon is 324 cm. Find the length of each side.
A 37
B 27
C 46.3
D 29.5
Answer:
C
the answer is c I have done this before