Answer:
3 (linear)
Step-by-step explanation:
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1
for each of its variables. In this case, the degree of variable y is 1
and the degree of variable x is 1
Given: AB ≅ BC , AE ≅ FC Prove: m∠AEC=m∠AFC
Answer:
EC/AB = FC/MA
Step-by-step explanation:
We are given AB
≅
BC that means that side AB and side BC are equal also we know that angle opposite to equalt
sides are equal.
Hence, ∠BAE=∠BCE-------(1)
Also ∠AEB=∠CEB.
Now we are given that: ∠ABC = 130°30’ i.e. in degrees it could be given as:
60'=1°
30'=(1/2)°=0.5°
Hence ∠ABC = 130°30’=130+0.5=130.5°
Also we know that sum of all the angles in a triangle is equal to 180°.
Hence,
∠BAE+∠BCE+∠ABC=180°.
2∠BAE+130.5=180 (using equation (1))
2∠BAE=49.5
∠BAE=24.75° (DIVIDE BOTH SIDE BY 2)
Now in triangle ΔBEC we have:
∠BEC=90° , ∠BCE=24.75°
SO,
∠BEC+∠BCE+∠EBC=180°.
Hence, 90+24.75+∠EBC=180
∠EBC=180-(90+24.75)
∠EBC=65.25°
Now we are given AE = 10 in
Also ∠BEA= 90°.
And ∠BAE=24.75°; hence using trignometric identity to find the measure of side BE.
\begin{gathered}\tan 24.75=\dfrac{BE}{AE}=\dfrac{BE}{10}\\\\BE=10\tan 24.75-------(2)\end{gathered}tan24.75=AEBE=10BEBE=10tan24.75−−−−−−−(2)
similarly in right angled triangle ΔBEC we have:
\begin{gathered}\tan 24.75=\dfrac{BE}{EC}\\\\\tan 24.75=\dfrac{BE}{EC}\\\\EC=\dfrac{BE}{\tan 24.75}------(3)\end{gathered}tan24.75=ECBEtan24.75=ECBEEC=tan24.75BE−−−−−−(3)
Hence, using equation (2) in equation (3) we get:
EC=10 \text{in.}EC=10in.
Hence AC=AE+EC=10+10=20 in.
Hence side AC=20 in.
can someone please help me with this question?
Answer:
I believe the lines are the 2nd, 4th, and 5th
Step-by-step explanation:
I don't have a clear explani=ation and you might get confused when I try to explain it :/
Which of the following isn't a composite number?
33
41
51
69
Answer:
41
Step-by-step explanation:
Two Truths and a Lie
Identify the lie and fix it so it is a truth.
1. Volume measures capacity.
2. The formula for volume of a pyramid is V=Bh
3. The first step for finding volume is to identify the shape of the base.
Answer:
Truth
Lie
Truth
Step-by-step explanation:
Lie:
The volume of a pyramid is given by the formula V = Bh / 3 where B is the area of its base and h is its height
Answer:
its 1.
Step-by-step explanation:
hope I helped pls mark branliest
yo girl need helps? pls ansser
Answer:
yea my girl says 3 aint enough. (answer is six)
Step-by-step explanation:
line them up and you get 6
PLS HELP PUT #BRAINLIEST IF YOU WANT IT
Select all expressions that are equivalent....
The expressions that are equivalent are (3²)⁴ and 3⁸.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
The given expression is (3⁷)² . 3⁻⁶
Simplifying the expression, we get,
(3⁷)² . 3⁻⁶ = 3¹⁴ . 3⁻⁶
We have a rule for exponent xᵃ . xᵇ = xᵃ⁺ᵇ
= 3¹⁴⁻⁶
= 3⁸
Consider the expression in the options.
We have (xᵃ)ᵇ = xᵃᵇ
(3²)⁴ = 3⁽²⁾⁽⁴⁾ = 3⁸
And there is a third option 3⁸.
These two expressions are equivalent to the given expression.
Hence the expressions equivalent to the given expression is (3²)⁴ and 3⁸.
To learn more about Expressions, click on the link given below :
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what is the least common factor for 5 and 6
Answer:
The answer is 30
Step-by-step explanation:
Write a direct variation equation to represent number of songs x and cost y. How much does it cost to master 11 songs?
Number of songs--Cost($)
2----------120
4----------240
6----------360
8----------480
Somebody help me please ASAP!!!!!!!!!!!!!!
Answer:
V=-15
Step-by-step explanation:
What you do is you take the negative 3 and multiply it by the 5 at the top which makes -15/v
Select all the pairs of equivalent expressions. Select all that apply.
(43)3 and 43 ⋅ 43
(34)4 and 38 ⋅ 38
64 ⋅ 34 and 188
43 ⋅ 53 and 203
(43)3 and 43 ⋅ 43 ⋅ 43
George has $5.00 to spend on candy. If each candy bar costs $0.85, how many candy bars can he buy?
A.) 5
B.) 5.88
C.) 6
D.) 8.62
Them easy points -3-
Sandy bought 12 7/8 pounds of peaches to make jam. She and her mother ate 0.75 of a pound of the peaches before making the jam. They used 9 3/8 pounds of the peaches to make the jam. How many pounds of peaches were left over?
A. 3 1/4
B. 3
C. 2 3/4
D. 2 1/4
Answer:
C
Step-by-step explanation:
initial amount: 12 7/8 lbs
ate: 0.75 lbs= 3/4 lbs = 6/8 lbs
used: 9 3/8 lbs
remainder: 12 7/8 - 9 3/8 - 6/8
= 3 1/8 - 3/8
=2 6/8 = 2 3/4 = C
therefore C is the answer
I need some help pls
Answer:
120
Step-by-step explanation:
0.25x(16x3)x(10)
0.25x48x10
12x10
120
Which ordered pair or pairs is a solution to the equation 4x - y = 17?
A. (5.3)
B. 3.-5)
C. both (5, 3) and (3,-5)
D. none listed
An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front of the house to measure 60 feet long. The architect's sketch shows that the front of the house has a length of 15 inches. Determine the factor of dilation used by the architect as he created the scale drawing for his customer. In your final answer, include all of your calculations.
(HINT: The factor of dilation should be a comparison of the same unit of measurement. Convert 60 feet to inches before you begin your calculations.)
pls help im so confused
Mrs. Smith’s wrote the number 43.38 on the board for a class discussion on place value. Explain the relationship between the two 3s
Answer:
3 and 0.3
Step-by-step explanation:
In the number 43.38, there are 2 place values for the digit 3. The 3 in 43 is worth 3. There is a 3 in the remaining .38, and that 3 is worth 0.3. The relationship between the two 3s is 3 and 0.3.
Hopefully the answer and explanation helps!
I need help, pls answer fast.
Answer:
4 times 5
Step-by-step explanation:
Please help me I will give out extra points and the brain thing
Image below
Answer:
Y= 0
Step-by-step explanation:
A proportional relationship is when two numbers change at a constant rate. They always are modeled by y = kx, which in this case, would be y = 5/3x. The y-intercept would be added to the equation, as y = kx + b, in this case would be y = 5/3x + 0, or the previous equation.
Hope it helped! :D
Danny is diving for rings at the bottom of the pool and is 8.7 feet below the surface of the water. He grabs a ring and ascends 1.3 feet per second. Write an equation to represent the relationship between x, the number of seconds and y, the number of feet below the surface of the water.
please help if oyu help then i get a good grade
Answer:
7 = 16
Step-by-step explanation:
3*4=12
4*4=16
just multiply by 4
Answer:
y equals 16
Step-by-step explanation:
3/4 =12/y
3 x 4 = 12
4x4 = 16
Please help as soon as you know it the answer
Answer:It is the 3rd one
Step-by-step explanation:
PLEASE ANSWER PLEASE DONT SPAM ME TO GET PIONTS 16=4+3(t+2) thank you
Answer:
T = 2
Step-by-step explanation:
1. Distribute
2. Add the numbers
3. Order summands
4. Subtract 10 from both sides of the equation
5. Simplify
Answer:
t=2
Step-by-step explanation:
Simplify both sides of the equation.
16=4+3(t+2)
16=4+(3)(t)+(3)(2) (Distribute)
16=4+3t+6
16=(3t)+(4+6)(Combine Like Terms)
16=3t+10
16=3t+10
Step 2: Flip the equation.
3t+10=16
Step 3: Subtract 10 from both sides.
3t+10−10=16−10
3t=6
Step 4: Divide both sides by 3.
3/2= 6/3= t=2
magine you have friends from all over the world. Translate the following sentences into Spanish. 1. Juan is from China. He is Chinese. 2. Ronald is African. 3. Kana is Japanese. 4. The book is red. 5. The school is big. You will be graded on (a) correct vocabulary, (b) correct adjective agreement, and (c) overall quality of the response.
Answer:
1. Juan es de China. Él es chino.
2. Ronald es africano.
3. Kana es japonesa.
4. El libro es rojo.
5. La escuela es grande.
Answer:
1. Juan es de China. Él es chino.
2. Ronald es africano.
3. Kana es japonesa.
4. El libro es rojo.
5. La escuela es grande.
Step-by-step explanation:
edgnuity 2020 lets go
The table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 8, 2, negative 4, negative 10, negative 16. What is the slope of the function?
The slope of the line will be +10.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have a table that represents a linear function.
We have -
[x] [y]
-2 -8
-1 2
0 -4
1 -10
2 -16
The slope of the function can be calculated as -
m = (2 + 8)/(-1 + 2) = 10/1 = 10
Therefore, the slope of the line will be +10.
To solve more questions on straight lines, visit the link below-
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help please.....................
Answer: g^10/h^14
Step-by-step explanation: Just multiply the exponents inside the parentheses (5&7) with the exponent on the outside(2).
The cake walk fundraiser sold 44 tickets during the first sales. This was 22% of the total sales. How many tickets were sold to the cake walk fundraiser
Answer:
The total sales are 200 tickets
Step-by-step explanation:
Answer:
968
have a good day
A partial graph of an exponential function is shown in the graph below.
What are the domain and range of this graph?
A)Domain: 2 ≤ x < 6
Range: –3 < y ≤ 5
B)Domain: –3 < x ≤ 5
Range: 2 ≤ y < 6
C)Domain: –3 ≤ x < 5
Range: 2 < y ≤ 6
D)Domain: 2 < x ≤ 6
Range: –3 ≤ y < 5
Answer:
Your answer should be b
Step-by-step explanation:
i hope my answer is correct
Estimate by clustering: 56.9, 63.2, 59.3, 61.1
A. 240.0
B. 225.0
C. 200.0
D. 250.0
A deep-sea diver changes his position relative to the surface of the water by -7/2 meters per minute. What is his position after 3 minutes if he starts at the surface of the water?
Answer:
-10.5
Step-by-step explanation: