Answers
Answer:
We get the value of x: x= 2
Step-by-step explanation:
Since the triangles are similar, the ratios of the lengths of corresponding sides are same.
We can use proportions to find the value of x
The proportion will be:
[tex]\frac{BD}{DA}=\frac{BE}{EC}[/tex]
Now putting there values we can find value of x
We have:
BD = 6, DA = 4, BE = x+1, EC =x
Putting values
[tex]\frac{BD}{DA}=\frac{BE}{EC}\\\frac{6}{4}=\frac{x+1}{x} \\Cross\:Multiply\\6x=4(x+1)\\6x=4x+4\\6x-4x=4x+4-4x\\2x=4\\x=\frac{4}{2}\\x=2[/tex]
So, we get the value of x: x= 2
Related Questions
Like terms need to have what
Answers
SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka
Answer:
The same letter lol
Step-by-step explanation:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.
x ≤ 8
x > 8
x < 8
x ≥ 8
Answers
Answer:
x < 8
Step-by-step explanation:
the dot isnt filled so symbol wont have a line under it
line moving left of 8 so less than 8.
Show 1 1/4 on a number line out of 4
Answers
What is the answer of a multiplication problem called
What is the answer of a division problem called
Answers
Answer:
In multiplication the answer is called PRODUCT and in division the answer is called quotient.
Step-by-step explanation:
I hope that helps and you get a good grade :)
The answer to a multiplication problem is called a Product. The answer to a division problem is called the quotient.
round the hundredth:0.678
Answers
Answer:
0.68
Step-by-step explanation:
7 is in the hundredth place and since 8 is after and it's bigger than 5, the 7 becomes 8 so 0.68
Hope this Helps!
Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit
$10,000 each year into the account, which pays 1.7% interest, compounded annually.
a. How much will be in the account in 15 years?
b. How much interest would be earned?
Please put how to work it out!!!!
Answers
9514 1404 393
Answer:
a) $169,234.59
b) $19,234.59
Step-by-step explanation:
The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?
The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.
__
a) Assuming an "annuity", the formula is ...
A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years
A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance
__
b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...
$169,234.59 -150,000 = $19,234.59 . . . . interest earned
What is an equation of the line that passes through the points (-3,-1) and
(6,2)? Put your answer in fully reduced form.
Answers
Answer:
y=1/3x
When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.
If $350 is divided into two portions in the ratio 2 to 5 what is the smaller portion
Answers
The ratio is 2 : 5 and the smaller portion is 100
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be A = $ 350
Now , the ratio is 2 : 5
So , the total ratio is = 2x + 5x
= 7x
And, the value 7x = total amount
So , 7x = 350
Divide by 7 on both sides of the equation , we get
x = 50
So , the number 350 in the ratio 2 : 5 is 100 : 250
Hence , the smaller portion is 100
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C. What temperature is halfway between 3 degrees and -11degrees? And what is the mid point between -6 degrees and -10? And what is the midpoint between -60 degrees and 8 degrees?
Answers
Answer:
-4 is in between 3 and -11 is
-8 is in between -6 and -10
-26 is in between -60 and 8
DE bisects BC. If BC = 5x-3 and CE= 2x+25 find the value of x
Answers
Answer:
x = 53
Step-by-step explanation:
The entire line is BC, the line DE bisects the line BC, meaning it cut the line in half. So CE is half of BC, so the equation for CE has to be multiplied by 2. Therefore:
5x - 3 = (2x + 25)2
multiply
5x - 3 = 4x + 50
ad 3 to both sides
5x = 4x + 53
subtract 4x from both sides
x = 53
Input into the equation to check:
5x - 3 = (2x + 25)2
5(53) - 3 = (2(53) + 25)2
265 - 3 = (106 + 25)2
262 = (131)2
262 = 262, it's correct :)
Answer:
Step-by-step explanation:
Each day at the bakery, Jack bakes vakes and helps out at the counter. Make a scatter plot of the hours Jake spends at the counter as a function of the number of cakes he bakes. Draw the trend line, choose what type of correlation the scatter plot shows, choose what could be the equation for the data, and then lastly choose what the y-intercept of the line represents.
What type of correlation does the scatter plot show:
A. positive correlation
B. negative correlation
C. no correlation
D. cannot be determined
Which could be an equation of the trend line:
A. y = -0.5x + 5
B. y = -0.8x + 8
C. y = -0.5x + 3.5
D. y = -0.8x + 5
What does the y-intercept of the line represent:
A. average time it takes to bake one cake
B. average number of cakes per hour Jack can bake
C. total time spent baking cakes D. total number of hours Jack works each day
D. total number of hours Jack work each day
Answers
2 A
3 C
I hope this helps
I just need the answer
Answers
Answer:
The answer is B
Step-by-step explanation:
Your welcome
Evaluate the expression for the given value of x.
6.5x - 3.5 for x = 9
The solution is...
Answers
Answer:
55
Step-by-step explanation:
6.5x - 3.5 [x = 9]
6.5(9) - 3.5
58.5 - 3.5 = 55
When dividing a number what way the decimal move left or right
Answers
3. A large banquet room holds 288 people, with each table seating 8. How many tables can the banquet hall have without going over its capacity? Maneuvering the Middle LLC.
Answers
Answer: 36 tables
Step-by-step explanation: Just divide 288 by 8. I hope this helps!
Choose the rule to describe the transformation:
D(-3, -4), C(-3, -1), B(0, -4)
to
D '(3, -4), C '(3, -1), B '(0, -4)
a. reflection across the y-axis
b. reflection across y = -x
c. translation: (x,y)LaTeX: \longrightarrow⟶(x + 4, y)
d. reflection across y = x
Answers
Answer:
a. reflection across the y-axis
Which expression gives the measure of angle
XYZ in the diagram below?
A. (154° + 46°)
B. 154° + 46°
c. 1/2 (154° -46° )
D. 154° - 46°
Answers
Answer:
C. 1/2(154-46) hope this helps :)
Step-by-step explanation:
The measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
What is angle ?Angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
We have,
Arc ST = 46°, and
Arc XZ = 154°
Now,
We know that the measure of the arc is same as that of central angle.
Now,
Join X and T,
Now,
We know that, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles.
So,
Angle XTZ [tex]=\frac{154}{2}[/tex]
And,
Angle SXT [tex]=\frac{46}{2}[/tex],
Now,
∠XTZ = ∠XYZ + ∠SXT [Exterior angle is equal to the sum of interior opposite angles]
So,
∠XYZ = ∠XTZ - ∠SXT
Now,
Substituting the values,
We get,
∠XYZ [tex]=\frac{154}{2}-\frac{46}{2}[/tex]
i.e.
∠XYZ [tex]=\frac{1}{2} (154-46)[/tex]
So, measure of angle XYZ is [tex]\frac{1}{2} (154-46)[/tex] .
Hence, we can say that the measure of the angle XYZ will be [tex]\frac{1}{2} (154^0 -46^0 )[/tex] i.e. option C.
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Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answers
Answer:
==================== not < or >
Step-by-step explanation:
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hehe, the explanation is down here xD
m=3
4m-1=4*3-1
so then it's 12-1 which is 11
5m-4=5*3-4
15-4 thats 11
wait ok so
11=11
Answer:
=Step-by-step explanation:
m = 3
4m - 1 = 4(3) - 1 = 12 - 1 = 11
5m - 4 = 5(3) - 4 = 15 - 4 = 11
4m - 1 = 5m - 4
Answer: =multiply 7/15 ,a 2 what is
answer
Answers
need the answer please thank you!
Answers
Answer:c
Step-by-step explanation:
C
Step-by-step-explanation
C
25. Solve for x. 12x -15 = 129
O
x = 15
O
x=-12
O
x = 12
x= -15
Answers
Work shown in picture
The student council wants to rent a ballroom for the junior prom. The ballroom’s rental rate is $1500 for 3 hours and $125 for each additional half hour. Suppose the student council raises $2125. What is the maximum number of hours for which they can rent the ballroom?
Answers
omg please help. make sure you put the product of A, the product of B, and the sum for C. it’s in the picture
Answers
Answer:
Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Step-by-step explanation:
We need to multiply the terms and find the answers
First we multiply 2 with 0.23, then we multiply 1 with 0.23
0.23
x 0.12
-------------
046
0230
--------------
.0276
Since there are 2 numbers after decimal in 0.23 and same for 0.12, so we place the decimal so that there are 4 decimal places.
Counting of decimal will start from the units place.
So, Product for A = 046
Product for B = 0230
Sum for C = 0.0276
Matthew weighed 96 ounces at birth. His sister, Adrienne, weighed 7 pounds at birth. Who
weighed more and how many pounds more?
Answers
Answer:
A
Step-by-step explanation:
96 ounces = to 6 pounds
7-6=1
Write an equation in slope-intercept form for the line that goes through points (1.4, 0) and (1, –2).
Answers
Answer:
y=5x-7
Step-by-step explanation:
1. find slope
-2-0
1-1.4
is 5
2. find y intercept
y-0=5(x-1.4)
y=5x-7
Answer:
5x - 7
Step-by-step explanation:
you need to raise at least $400 in order to go on a field trip. you are selling magazines for $12 each. you have already raised $124. how many magazines must you sell to meet your goal? write, solve and graph the inequality for this situation.
Answers
Answer:
44 magazines need to be sold
Step-by-step explanation:
Y=Mx+b
400=12x-124
524=12x
43.6667 or 43 (2/3)
round up since you cant sell 2/3 of a magazine
Answer:
the inequality is 124+12x≤400
Step-by-step explanation:
x=23
hope this helps
Pls help me!!!!!!!!
Answers
Answer: 127,500
Step-by-step explanation: I just used a calculator
Answer:
the answer is 127,500
Step-by-step explanation:
Give the slope and y-intercept of the
relationship shown in the table.
Answers
25-50 divided by 100-0
Which is -1/4
When x is equal to 0, y is equal to 50
So, your answer is option b
Answer:
B
Step-by-step explanation:
9. A ranch has 575 cows on 25 acres of land. Which rate best represents the relationship
between the number of cows and the number of acres?
Answers
Answer:
10/10
Step-by-step explanation:
Find the average price of homes in the county you selected and use that as population mean prices to state a hypothesis about the data. Note that you already have a sample mean of your area, Use this to set up a hypothesis test. Develop a summary of the five-step hypothesis testing model.
Answers
Answer:
hello your question has some missing part attached below is the missing part
Average Price of home in my county= $580,400 Mean=640069.371428571 stand error= 20175.166257334
The Sample mean that already have = $ 640,069 Stand. Dev.=119357.893215687 count= 35 Variance: 14246306672.8874
Critical t= confidence=95% sign= 5%
2.05183052
Answer :
First step : Confidence interval
Second step : Hypothesis test
Third step : perform a Test statistic
Fourth step : Reject null hypothesis
Fifth step : conclusion
Step-by-step explanation:
First step : Confidence interval
attached below
confidence interval ; ( 599068.13, 681069.87 )
Second step : Hypothesis test
attached below
Critical values of t = ± 2.032 ( from table )
Third step : perform a Test statistic
attached below
hence t = 2.958
Fourth step : Reject null hypothesis
we will reject null hypothesis because calculated value of t = 2.958 > critical value ( t = 2.032 )
Fifth step : conclusion
Provided data supports claim that average price of home in my area is the same as average price of home in the entire country .