Answer:
9
Step-by-step explanation:
because 9 is half of 18
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.
Find the next three terms of an arithmetic sequence 58 , 63 , 68 , 73 . find the next three terms
and show all your work how did u get it and the formula and ty
Answer:
78 - 83 - 88
Step-by-step explanation:
If you minus all the numbers together, you get
73 - 68 = 5
68 - 63 = 5
63 - 58 = 5
1) So, 73 + 5 = 78
2) Next is 78 + 5 = 83
3) Last, 83 + 5 = 88
Hope this helps!!!
( i also suck at math)
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
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
What are the domain and range for the set of points graphed on the coordinate plane?
A)Domain: –8 ≤ x ≤ 4
Range: –5 ≤ y ≤ 13
B)Domain: –5 ≤ x ≤ 13
Range: –8 ≤ y ≤ 4
C)Domain: {–5, –3, 3, 13}
Range: {–8, –6, –4, –2, 0, 2, 4}
D)Domain: {–8, –6, –4, –2, 0, 2, 4}
Range: {–5, –3, 3, 13}
Answer:
I think C
Step-by-step explanation:
tell me if i'm wrong
Please help as soon as you know it the answer
Answer:It is the 3rd one
Step-by-step explanation:
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
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
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
What is 43 · 62 · 7 Can someone please explain I need help with my assignment.
.
Is a math symbol middle schoolers use for another way to write x in multiplication.
Answer:
18662
Step-by-step explanation:
43*62=2666
2666*7=18662
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
Which number could go in place of letter A
A.40
B.2.75
C.1/4
D.-2.5
E.-5
Answer:
A. 1/4, 2.75
B. -5, ad -2.5
C.. 40
Step-by-step explanation:
Hope this helps
Answer:
A
Step-by-step explanation:
can you please mark me brainliest
I need help, pls answer fast.
Answer:
4 times 5
Step-by-step explanation:
After 3 weeks, Mrs. Tumble had each group measure the height of their bean plant and record it on a line plot. What is the difference in length between the tallest bean plant and the shortest bean plant?
Group answers
A. 2 1/4
B. 2 1/2
C. 2 3/4
D. 3 1/4
Which of the following isn't a composite number?
33
41
51
69
Answer:
41
Step-by-step explanation:
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.
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
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
suppose you are measuring peanut butter. begin with 1 1/2 c cold water in a container. after you add the peanut butter to the water, the water level reads 2 1/4 c.what is the volume of the peanut butter. explain.
Volume of the peanut butter is 3/4 c.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
Here is given the method to measure the peanut butter.
Volume of the cold water at the beginning = 1 1/2 c
= 3/2 c
Volume of the water after adding the peanut butter = 2 1/4 c
= 9/4 c
Volume of peanut butter = 9/4 c - 3/2 c
= (9/4) - (6/4)
= 3/4 c
Hence the volume of the peanut butter is 3/4 c.
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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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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
WILL GIVE BIRANLY!!!
Travis goes to the book fair where paperback books are $1.50 and hardback books are $3. Travis buys five paperback and two hardback books. How much change will Travis receive from a $20 bill?
Answer:
6.50
Step-by-step explanation:
20-13.50=6.50
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 :/
Angle 1 is in a triangle with angle 4 and a 53 degrees angle. What is the sum of the measures of those two angles?
The value of angles are in given triangle as:
Angle 1 = 37°, angle 2 = 127°, angle 3 = 23°, and angle 4 = 90°.
Given that the triangle attached below.
Also given angle one with angle four and a 53° angle.
Since the sum all three angle of triangle is equal to 180°.
In triangle ABC,
∠A + ∠B + ∠C = 180
Angle 1 + 90 + 53 = 180
Angle 1 = 37°
Also the angle 4 is equal to 90°.
The angle 2 is equal to 127°, because 180 - 53 = 127°
Now, in triangle ACD,
∠C=127° and ∠D = 30
∠A + ∠C + ∠D = 180
Angle 3 + 127 + 30 = 23
Hence, the value of angles are:
Angle 1 = 37°
Angle 2 = 127°
Angle 3 = 23°
And angle 4 = 90°
Learn more about Angle here:
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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!
PLS HELP PUT #BRAINLIEST IF YOU WANT IT
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
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-
Marcie built a scale model of the tallest building in town with an antenna on top. The model stands 6 2/3 centimeters tall. The main building is 3/4 of the height of the building including the antenna. How tall is the antenna in the model? Pls help this is due today and i am really stressed out.
The answer is 1/2...........
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