Answers
Answer:
1. DC = AB = 4 ft
2. BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex]
4. m<EBC = [tex]65^{o}[/tex]
Step-by-step explanation:
From the given quadrilateral,
Given: AB = 4 ft, AD = 10 ft and m<BAE = 65.
1. DC = AB = 4 ft (opposite sides of a parallelogram are equal)
2. Applying the Pythagoras theorem to ΔABD, we have;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]BD^{2}[/tex] = [tex]4^{2}[/tex] + [tex]10^{2}[/tex]
= 16 + 100
= 116
BD = [tex]\sqrt{116}[/tex]
= 10.7703
BD = 10.80 ft
3. m<CED = [tex]90^{0}[/tex] (the diagonals bisects each other at right angle)
4. m<ABC + m<BAC + m<ACB = 180
90 + 65 + m<ACB = 180
m<ACB = 180 - 155
m<ACB = [tex]25^{0}[/tex]
So that,
m<BEC + m<EBC + m<ECB = 180
90 + m<EBC + 25 = 180
m<EBC = 180 - 115
m<EBC = [tex]65^{o}[/tex]
Related Questions
The value of a stock increases by 8% each year.
1. Explain why the stock value does not increase by 80% each decade.
2. Does the value increase by more or less than 80% each decade?
Answers
Answer:
if it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth.
The increase after 10 years is (108%)^10 - 100% which is bigger than 80%.
If the value of a stock increases by 8% each year, then, that is not equal to the value of a stock increases 80% each decade.
What is Percentage Increase?The degree to which a value increases expressed in percent form is known as percentage increase.
Given that, The value of a stock increases by 8% each year.
a) If it increases 8% each year, the next year it's not 8% of the original, but 8% of the 108% and so forth, the incasement in percentage is an exponential increase not a linear increase, so we can't say that, the value of the stock increases 80% each decade
b) Since, (108%)¹⁰ > 80%
Hence, the increase after 10 years is (108%)¹⁰, will be bigger than 80%.
Hence, If the value of a stock increases by 8% each year then, that is not equal to the value of a stock increases 80% each decade
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Factor. x^2-2x-3 please
Answers
Answer:
(x+1)(x-3)
Step-by-step explanation:
i hope this helps :)
Apply the distributive property to simplify -1/3 (12+30) . A. 14 B. 6 C. -13 D. -14
Answers
Answer: -14
(− 1/ 3 )(12+30)
= −1 /3 (12+30)
= −1/ 3 (42)
= −14
Answer:
I answered this on accident sorry
Step-by-step explanation:
At time t=0 seconds, a clock pendulum makes its maximum angle with the vertical, reaching a positive angle of 6 degrees in one minute, the pendulum swings back and fourth 20 times. Which of the following best expresses the angle the pendulum makes with the vertical in degrees as a function of time in seconds?
Answers
Answer:
B. θ(t)= 6 cos (2π/3 t)
Step-by-step explanation:
Answer:
B) theta(t)= 6cos (2pi/3 t)
I’m not sure how to explain how I got the answer, but I did get it wrong and B was marked right. I hope this helps!
Marcia is using base ten blocks to multiply decimals. He is using the flat to represent one whole.
one whole
Which of the following multiplication expressions is Marcia representing below?
Answers
Answer:
nice
Step-by-step explanation:
A bird flew 3/5 of a mile in one
quarter of an hour. At this rate
how far will the bird fly in 2 1/2
hours?
Answers
Answer:
in 2.5 hours the bird will fly 150 miles
Step-by-step explanation:
take 60 mins and divide it into 4(=15) take 15 and multiply it by 10 leaving 150 miles in 2hours and 30 minutes
38 divided by 8. Show ALL work for credit. NO WORK NO CREDIT
:((
Answers
Answer:
38 / 8 is 4.75
Step-by-step explanation:
Um I tried putting a photo of my work but it wouldn't let me sorry ;-;
The question is in the photo.
Answers
Answer:
the first option
Step-by-step explanation:
Answer: x < 4
Step-by-step explanation: To plot an inequality, find the number and go the way the sign is pointing.
In this problem...
The less than sign is pointing left, and the number is 4. We use an open circle because the sign is not equal to. If it was, we would of put a closed circle.
<, or > = Open circle (Not shaded)
≤, or ≥ = Closed circle (Shaded)
I attached a image to proof the answer is correct.
Let me know if you have any questions.
~ Lily, from Brainly.
There are
questions on the Aspire English test.
A. 20
B. 65
C. 35
D. 50cc
Answers
Answer:
Answer is 50cc Number D
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3.4.2
Determine the quadrant in which the terminal side of theta lies.
Answers
Answer:
A) 2nd quadrant
B) 2th quadrant
Step-by-step explanation:
hope this helps have a nice day!!
Cory makes a map of his favorite park, using a coordinate system with units of yards. The old oak tree is at position (3, 7) and the granite boulder is at position (-2, 6). How far apart are the old oak tree and the granite boulder? Round to the nearest tenth if necessary
Answers
Answer:
7.1 yd
Step-by-step explanation:
how to find the edge length in volume?
Answers
Please tell me the area
Answers
Answer:
200 ft²
Step-by-step explanation:
area = 1/2(BH) = 1/2(20)(20) = 200 ft²
Write a linear function f with the given values.
f(3)=-4,f(5)=-4
Answers
Yeah
Hi! I cant figure this out... could someone please help me?
Answers
Answer:
Step-by-step explanation:
open circle on -4 and open circle on 4 and a line connecting them
Which equation below would match this graph?
a. y = 3(2)^x
b. y = 2(2)^x
c. y = 2^x
d. y = (-2)^x
Answers
The y-intercept is y=3
Any number to the ^0 = 1. Because the y-intercept is 3, that means it was multiplied by 3 to get that y value, which is why a is correct.
The value of w varies jointly with x and y, and w = 5 when x = 3/4 and y =2. What is the value of w when x = 4 and y = 3?
Answers
Answer:
A ∝ BCD or A = kBCD (k = constant ), then A varies jointly as B, C and D.
Step-by-step explanation:
The value of 'w' when x = 4 and y = 3 is, 40.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, The value of w varies jointly with x and y.
Let, w ∝ xy ⇒ w = kxy.
5 = k×(3/4)×2.
5 = (3/2)k.
k = 10/3.
Now, x = 4 and y = 3.
Therefore,
w = (10/3)×4×3.
w = 40.
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Determine the area of the triangle. Write your answer in decimal
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Area =
19.25 yd
9.5 yds
i need it asap by tomorrow!
Answers
Jada has read 3/5 of a book. she has read 75 so far. how many pages are in the whole book?
Answers
Answer: Total number of pages is 125
Step-by-step explanation:
If 3/5 of a book is equal to 75, we can conquer that 1/5 of the book is 25 pages, because 75/3=25.
With this we can do 25 x 5 = 125 total pages.
how many pieces of string rhat are 2/7 of an inch long can be cut into 7/8 of a inch long
Answers
Step-by-step explanation:
3 pieces because well I know
??????????????????????
Answers
Answer:
I belive the answer would be the first one. 2^28 x 3^20 x 9^4
Step-by-step explanation:
This is becasue you need to multiply the power on the outside of the parenthesis, (4). 7 times itself 4 times is 28, 5 times itself 4 times is 20, and then use the 4 for the 9. Hope this helps!
Factor the expression using the GCF. Explain your reasoning using math
vocabulary.
24xy – 16y
Please help!
Answers
Answer:
8y(3x - 2)
Step-by-step explanation:
8y is the GCF so I divided it out and set it outside the parenthesis.
slove for x for the triangle
Answers
Answer:
3x+2+36=110
3x= 110-38= 72
x= 72/3=24
Step-by-step explanation:
a tire rim has a diameter of 15 in what is the circumference of the tire rim use 3.14 answers 23.55, 46.10, 47.1, 94.2
Answers
Answer:
1. 70.84
2. 144.75
3. 147.89
4.295.89
Please Help ASAP
Which value of x is a solution to this equation?
2x^2 - 4x + 16 = 0
A. X = 3
B. X = -2
C. X = -3
D. X = 2
Answers
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The discriminant is ...
b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112
A negative discriminant means there are no real solutions to the equation.
_____
The complex solutions are 1±i√7.
If we assume the equation has a typographical error and is intended to be ...
2x^2 -4x -16 = 0
The solutions are x = -2 and x = 4.
Tayler works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission One day Tayler sold 1 bicycle for $125 and 2 bicycles for $75 cach What was the total amount o
commission he earned?
HELP......
Answers
which answer choice is equivalent to the expression (x+2)^2 - 6x+2?
a. x^2 - 2x+8x
b. x^2 - 2x+6
c. x^2 - 6x+4
d. -5x^2 +6
Answers
Answer:
(x+2)^2 - 6x+2
(x+2)^2 = (x+2).(x+2)
= x(x+2) + 2(x+2)
= xx + x2 + 2x +4 ( x2 = 2x)
= x^2+ 4x +4
(x+2)^2 - 6x+2
x^2+ 4x +4- 6x+2
x^2+ 4x - 6x+2 +4
x^2- 2x+2 + 6 (b)
Step-by-step explanation:
help help help pls pls
Answers
Answer:
x ≈ 7.1
Step-by-step explanation:
The circumference of this circle is 2πx.
65/360 of that circumference is said to be 8
so we can solve x from
65/360 · 2πx = 8
which can be simlified to
2πx = 8 · 360/65
πx = 288/13
x = 288 / (13π) ≈ 7.1
Hiii I just need to know the answer for this. Please lend me a helping hand.I’ll make this 15 points
Answers
Answer:
I'm going to also give you how to get the answer... not just the answer.. you will need to know this for a test :/ so learn it :P
Step-by-step explanation:
Sin(30)=12
to remember what Sin and Cos at those speacial angles in degrees are.. just use this Sin(degrees)
Sin(0) = 0/2 =0
Sin(30)= [tex]\sqrt{1}[/tex]/2 = 1/2
Sing(45) = [tex]\sqrt{2}[/tex]/2 = [tex]\sqrt{2}[/tex]/2
Sin(60)=[tex]\sqrt{3}[/tex]/2 = [tex]\sqrt{3}[/tex]/2
Sin(90)=[tex]\sqrt{4}[/tex]/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 =0
Cos(60) = [tex]\sqrt{1}[/tex]/2 = 1/2
Cos(45) = [tex]\sqrt{2}[/tex]/2 = [tex]\sqrt{2}[/tex]/2
Cos(30) = [tex]\sqrt{3}[/tex]/2 = [tex]\sqrt{3}[/tex]/2
Cos(0) =[tex]\sqrt{4}[/tex]/2 = 1
note that the numerators just count from 0,1,2,3,4 , see? you can remember sin and cos now :) since you can count to 4 :P
Sin(30) =12
1/2 =12 while that statement makes no sense.... obviously 1/2 isn't equal to 12 but.. what's being said is that the angle of 30° gives you a side that is 12 units long.
so looking at what I wrote above.. which angle in degrees matches Sin when you look at Cos?
Sin(30)= 1/2 and Cos(60) also = 1/2 huh
sooo β = 60 °
got it? :/
Pls help me. Sorry, it's so easy.
Answers
Answer:
he bought 36 hot dogs
4 packs of hot dogs
3 packs of buns
Step-by-step explanation:
Answer:
He bought 36 hot dogs,4 packs of them, and 3 packs of buns
Step-by-step explanation:
The LCM (least common multiple) of 9 and 12 is 36 and 12*3=36 and 9*4=36 so they are even