Answer:
see below
Step-by-step explanation:
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
This is angle side angle ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
This is hypotenuse leg HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
This is side side side SSS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
This is leg angle LA
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
This is side angle side SAS
In equilateral triangle ABC above, y =
(A) 40
(B) 60
(C) 70
(D) 75
(E) 80
Answer:
60°
Step-by-step explanation:
In an equilateral triangle all sides are equal so as all angles are same,
3 sided fig. 180÷3= 60°
Find the measure of the largest angle
15x
24x
21x
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
Dimitri's table top is a whole number of
square feet. Could the length and width
be decimal numbers each with one
decimal place? Explain your answer.
Answer:
No, it cannot.
Step-by-step explanation:
When you multiply a factor 1 or greater, the product gets larger. However, when you are multiplying decimals, the product gets smaller. (Ex. When you multiply 0.1 [or 0.10], you are making the product ten times as small.)
ZX is perpendicular bisector of WY if WY=24 what is WX
Answer:
12
Step-by-step explanation:
A boat traveled 12 miles in 30 min. At this rate, how many miles will the boat travel in 3 hours?
what is 5 and 9 tenths times 1 and 9 tenths
Answer:
11.21
Step-by-step explanation:
5.9*1.9
2 3/4 as an improper fraction
Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.
Answer:
Max is 17 years old and Bert is 11 years old
Step-by-step explanation:
System of Equations
Let's call
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem:
x - 5 = 2(y - 5) [1]
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
2y - 5 + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5
x = 17
Max is 17 years old and Bert is 11 years old
How much cinemeters is 5 inches
Answer:
5 inches is equal to 12.7 centimeters.
Step-by-step explanation:
There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.
Answer:
12.70 cm hope it is right
Step-by-step explanation:
Consider the diagram and angle measurements shown below.
m<1 = (x +14)
m <3 = (3y + 7)
m <4 = (5y-73)
m<5 = (3x -54)
What is m <2
Answer:
C
Step-by-step explanation:
Answer: C
Step-by-step explanation: i did it
Given that
R
=
2
x
+
2
y
Find
y
when
x
=
9
and
R
=
29
Give your answer as an improper fraction in its simplest form.
Answer: y=11/2
Step-by-step explanation:
r = 2x + 2y
29=2(9) + 2y
29=18 + 2y
11 = 2y
11/2 = y
Warren Anderson's annual salary is $54,500. His personal exemptions total $1,500. The annual tax
withheld is: 1.5 percent of the 1st $1,000, 3.0 percent of the next $2,000, 4.5 percent of the next $2,000, and
5.0 percent over $5,000. How much is deducted annually for state income tax?
A. $2,400
B. $2,565
C. $2,725
D. $2,890
Answer:
B. $2,565
Step-by-step explanation:
Find – 8-(-3). -8-(-3) =
Answer:
-5.5
Step-by-step explanation:
a store buys shirts for $12 each and marks up the price by %25. what is the price for a shirt at this store??
Answer:
Step-by-step explanation:
The price of the shirt at the store is $16
12 x .25 = 4
4 + 12 = 16
Explain whether △ABC is congruent to △XYZ according to the angle side angle (ASA) congruence criteria.
Answer:
∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Step-by-step explanation:
The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.
In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.
Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
One year ago, Lindsey deposited $250 into a savings
account. Her balance is now $253. Two years ago, Jenn
deposited $250 into a savings account. Her balance is
now $257.50. Which account has the greater simple
interest rate? Explain.
Answer:
Jenn's account
Step-by-step explanation:
Given that:
LINDSAY'S ACCOUNT :
Principal = amount deposited = $250
Final Amount after 1 year = $253
Period (t) = 1 year
JENN'S ACCOUNT :
Principal = amount deposited = $250
Final Amount after 2 years = $257.50
Period (t) = 2 year
Using the relation :
A = P(1 + rt)
A = final amount ; r = interest rate ; t = time
Lindsay :
253 = 250(1 + r(1))
253 = 250 + 250r
253 - 250 = 250r
3 = 250r
r = 3/250
r = 0.012 ; (0.012 * 100) = 1.2%
Jenn:
257.50 = 250(1 + r(2))
257.50 = 250 + 500r
257.50 - 250 = 500r
7.50 = 500r
r = 7.50/500
r = 0.015 ; (0.015 * 100) = 1.5%
Hence, JENN'S deposit has the greater interest rate. (1.5 > 1.2)%
Answer:Sample response:Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.
Step-by-step explanation: please make me brainliest
what is 22 to the power of 34?
Answer:
4.3890563e+45!!
Step-by-step explanation:
Which table represents a function with a slope of 1/2 and a y-intercept of 4
Answer:D
Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct
Solve the following problems:
Find x , y PLEASE HELP
Answer:
x=5/4, y=7/4
Step-by-step explanation:
This is a similar triangles problem.
The first triangle (the smaller one) has the lengths 5, 8 and 7.
The second triangle (the lager one) has the lengths 5+x, 10, and 7+y
Let's first solve for x
In any similar triangles problem, you can make two ratios (all the ratios of the sides are the same)
since we don't know the measures for x and y first, we can use the ratio of the parallel lines (the bases) as the first ratio (8/10)
For the second ratio, it's smaller/bigger, so it'll be 5/(x+5)
here's the proportion
5/(x+5)=8/10
But before we multiply, we can simplify 8/10 to 4/5
so
5/(x+5)=4/5
Cross multiply
25=4x+20
5=4x
5/4=x
For y, we can do a similar process
We can use 8/10 or 4/5 again
and the ratio of the sides for y will be 7/(y+7)
7/(y+7)=4/5
35=4y+28
7=4y
7/4=y
Hope this helps!
Paulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Answer:
4 pounds
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs
7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds
Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase
Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds
= 7/8 × 32/7
= 4 pounds
Therefore, Rebecca's suitcase weighs 4 pounds.
Joe marked up all the shoes in his store by 15%. If a pair of shoes originally cost $45, what was the price after the markup?
Answer:
The price would be $51.75.
Step-by-step explanation:
Since Joe is marking up by 15%, the price will increase for the pair of shoes. Multiply 45 by 1.15 since you are increasing the price by 15% to get your final answer which is $51.75.
Please help me I really need to turn this in !!!! Please
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given the table
Year Value ($)
1 18,000
2 15,300
3 13,005
Let us check the sequence
18000, 15300, 13005,...
Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:
[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]
As the ratio of all the adjacent terms is the same, so
[tex]r=\frac{17}{20}[/tex]
Therefore, the given sequence is a geometric sequence
Part b)
Given the sequence
18000, 15300, 13005,...
The nth term of the geometric sequence is
[tex]a_n=a_1\cdot r^{n-1}[/tex]
here
[tex]a_1=18000[/tex]
[tex]r=\frac{17}{20}[/tex]
so
[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]
In order to determine the car worth in the 15th year, substitute n = 15
[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]
[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]
[tex]a_{15}=18000\times \:\:0.10276[/tex]
[tex]a_{15}=1850[/tex] $
Therefore, the worth of a car in the 15th year will be: $1850
Determined to find the slope
(1,7K) and (-3,5k)
9514 1404 393
Answer:
slope = k/2
Step-by-step explanation:
The slope formula is useful for finding slope.
m = (y2 -y1)/(x2 -x1)
m = (5k -7k)/(-3 -1)
m = -2k/-4
m = k/2
The slope is k/2.
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint.
f(x, y) = xy; 4x2 + y2 = 8
Answer: minimum value of f = -2 and maximum value of f = 2
Step-by-step explanation:
Given that;
f(x, y) = xy; 4x² + y² = 8
S(x,y) = xy + λ(4x² + y² - 8)
dS/dλ = 4x² + y² - 8 = 0
dS/dx = y + 8λx = 0 -> y = -8λx
dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0
-> x = 0 , λ = 1/4 , λ = -1/4
x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8
λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2
λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2
we have 4 critical points:
(-1, 2) -> f = -2
(1, 2) -> f = 2
(-1, -2) -> f = 2
(1 , -2) -> f = -2
Therefore; minimum value of f = -2 and maximum value of f = 2
Lauren saves 30% of her paycheck to purchase the iPhone 12. She earns $325 per paycheck. How much will Lauren have for her iPhone if she has saved from the first 2 paychecks
PLS HELP
Answer:
She will have saved $195
Step-by-step explanation:
If we had her two paychecks together she will have saved $650.
30% of 650 = 195
We get this by taking 650 times .3
Which line has a constant of proportionality between y and x of 5/4
Answer:
B
Step-by-step explanation:
Because under the six there's a line so the line is there then you look at the four and equal it to it and that's how you know it's B
You're welcome
Explain how the number line can
help a player order the values from
least change in the treasure
account balance to the greatest
DUE TODAY
change in the treasure account
balance.
9514 1404 393
Answer:
points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.
Step-by-step explanation:
The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.
Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...
-1.75, 2.50, -3.25, -3.50, 4.75
Evaluate 5x - 9y if x = 8 and y=-3
Plz help like soon
Which relation is NOT a function a: y=5x b: y=x2 c: x=3 d: y= 6x
Answer:
C. x = 3
Step-by-step explanation:
because it is not a function, it's an answer. The other equations are all equal to y, which you can find the x and the y for a coordinate, but for c you have just x, and without y you can't have a function.
Answer:
x = 3
Step-by-step explanation:
Think about an archery practice. One target can get hit by multiple archers, but an archer can only shoot one arrow. Therefore its x = 3, because the same x value can not hit every y. Hope this helps, its for more visual learners.
Archers (x) Targets (y)
X O
X O
X O
X O
Angel Sanchez has 10 books on a shelf; 5 mysteries, 4 science fiction books, and 1 biography. Determine the probability of each situation below.
a) Selecting one biography and then one mystery, with replacement
b) Selecting one biography and then one mystery, without replacement
a) The probability of selecting one biography and then one mystery, with replacement, is 17
(Type an integer or a simplified fraction)
Answer:
a) 1/10 x 5/10 = 1/20
b) 1/10 x 5/9 = 1/18
Step-by-step explanation:
a) Probability of selecting one biography and then one mystery, with replacement: 1/20
b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.
The probability of each situation can be calculated as follows:
a) Selecting one biography and then one mystery, with replacement:
With replacement means that after each selection, the book is put back on the shelf before the next selection.
The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).
The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/10) = 1/20
So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.
b) Selecting one biography and then one mystery, without replacement:
Without replacement means that after each selection, the book is not put back on the shelf before the next selection.
The probability of selecting the biography first is still 1 out of 10 books.
However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).
The overall probability is the product of the individual probabilities:
Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%
So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.
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