The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).
Answers
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.
Related Questions
which mixed number is equivalent to the improper fraction of 41/10
Answers
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Help pls part b is how many batches of jam can the farmer make
Answers
The equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is 16 = 2 1/2 + 2 1/4b (option b)
To start with, we know that the farmer picks 16 quarts of berries. Out of those, 2 1/2 quarts cannot be used, which means the farmer has 16 - 2 1/2 quarts of berries that can be used to make jam.
Now, the recipe requires 2 1/4 quarts of berries to make one batch of jam. Let's represent the number of batches of jam the farmer can make with the remaining berries as "b".
Therefore, the equation we need to find will relate the amount of remaining berries to the number of batches of jam the farmer can make is written as,
=> 16 = 2 1/2 + 2 1/4b
Hence the correct option is (b).
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type the missing numbers
Answers
Answer:
-5, -2, and 0
Step-by-step explanation:
Let f(x)=1/2(4)^x−1 Evaluate
Answers
Answer:
\(f(x)=\frac{4^{x} }{2}-1\)
Step-by-step explanation:
\(f(x)=\frac{1}{2}(4)^{x} -1\)
Combine \(\frac{1}{2}\) and \(4^{x}\)
\(f(x)=\frac{4^{x} }{2}-1\)
What is the slope of the line passing through the points (1,57)
(
1
,
5
7
)
and (2,27)?
Answers
x2 - x1 = 2 - 1 = 1
Answer -30/1 = -30
“Finding side lengths and angle measures of isolceles and equilateral triangles”
help pls !
Answers
Answer:
a) 100
b) 7
Step-by-step explanation:
Remember that angle measurements correspond to side lengths. This also means that if two sides or angles are congruent, then the angle or side opposite of them will also be congruent. For example, in part a two sides are both 6. This means that the angles opposite of them are also both 40. Finally, to find <K subtract 80 (because that is 40+40) from 180. Therefore, the answer is 100 degrees.
Next, remember that the markings on the angles in part b mean that the angles are congruent. Since all the angles are congruent, the sides must be as well. So HI=7.
The ABC Hamburger House sells quarter pounders for $1.49 each and three-eighth pounders for $2.19 each. Which is a better deal?
Answers
Answer:
3 eighth pound for $2.28
Step-by-step explanation:
quarter pound = 1.5 three eighth pound
1.49×1.5 = 2.235
Pythagorean Theorem with an unknown
Answers
Answer:
a = sqrt(21)
Step-by-step explanation:
a^2 + b^2 = c^2 (pythagorean theorem)
2^2 + a^2 = 5^2
4 + a^2 = 25
a^2 = 21
a = sqrt(21)
hope this helps! <3
Answer:
root 21
Step-by-step explanation:
u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D
Does △ABC appear to be the same size and shape as △XYZ? Explain.
Right triangles A B C and X Y Z. A B C has shorter leg equal to 5 and hypotenuse equal to 13. Longer leg B C is horizontal. X Y Z has shorter leg equal to 5 and hypotenuse equal to 13. Hypotenuse X Y is horizontal.
A. Yes; △ABC maps onto △XYZ with a translation and a rotation.
B. Yes; △ABC maps onto △XYZ with a translation and a reflection.
C. Yes; △ABC maps onto △XYZ with a rotation and a reflection.
D. No; the triangles are different sizes.
Answers
Answer:
yes
Step-by-step explanation:
Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.
Given:
Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,
The triangles ABC and XYZ are similar by SAS similarity, as,
AC = XZ = 5,
AB = YZ = 13
∠ ACB = ∠ XZY
When you translate and then rotate triangle ABC, you will get triangle XYZ.
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if a 133 pound man can have 1032 mg of a medicine in a day, how much can a 121 pound woman have?
Answers
Answer: the answer is 1020
Step-by-step explanation: Because lets say 1032-133=899
so if we do 899+121=1020
Select the reason why these triangles are
similar. If they are not, select "Not similar."
2.5
1
0.5
2.25
A. AA
B. SAS
C. SSS
D. Not similar
Answers
Answer:
D
Step-by-step explanation:
1/2 is not equal to 1/2.5 is not equal to 0.5/2.25.
Segments BF, CD, and AE are medians for triangle ABC. Point K is the intersection of all three medians. The measure of segment FK is 3.40 cm and segment EK = 1.63 cm. Find the sum of the lengths of segments AK and BK.
Answers
The point of concurrency of the three median is the centroid of the triangle ABC.
The sum of the lengths of AK and BK is 10.06Reasons:
The given parameters are;
The medians of the triangle ABC = Segments BF, CD, and AE
The length of segment FK = 3.40
Length of segment EK = 1.63
Required:
The sum of the lengths of segment AK and BK
Solution:
The ratios of the lengths of AK to KE = 2:1
Therefore, we have;
\(\dfrac{AK}{KE} = \dfrac{2}{1} = \mathbf{\dfrac{AK}{1.63}}\)
1.63 × 2 = 1 × AK
AK = 3.26
Similarly, we have;
\(\dfrac{BK}{KF} = \dfrac{2}{1} = \mathbf{\dfrac{BK}{3.40}}\)
3.40 × 2 = BK
6.80 = BK
Which gives;
AK + BK = 3.26 + 6.80 = 10.06
The sum of the lengths of AK and BK = 10.06
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18+4x3
simplify using order of operation
Answers
Answer:30
Step-by-step explanation:
PEMDAS (Parentheses, exponents, multiply or divide, add or subtract)
Multiply first. 4x3=12.
Then add. 18+12=30
What is the asymptote for the function?
I tried to do it but I can’t
Answers
Answer:
Horizontal Asymptote → y = 17
Step-by-step explanation:
Given function is f(x) = \(\frac{2}{5}(16)^{x+13}+17\)
Here, the parent function is g(x) = \(\frac{2}{5}(16)^x\)
Parent function has a horizontal asymptote as y = 0
If the function g(x) is shifted 13 units left and 17 units up, new function will be f(x) = \(\frac{2}{5}(16)^{x+13}+17\)
When the parent function is shifted 17 units up, horizontal asymptote shifts 17 units upwards.
Therefore, horizontal asymptote of the image function becomes y = 17.
cone a is 10 centimeters high and its base has a diameter of 4 centimeters. Cone B is twice as tall with a hight of 20 centimeters and a diameter of 4 centimeters. Cone C is the same height as cone A, 10 centimeters, but the diameter of its base is 8 centimeters. Which cone has the greatest volume?
Answers
The cone that has the greatest volume is cone C
How to determine the cone that has the greatest volume?The given parameters in the question are
Cone A
Height = 10 cm
Diameter = 4 cm
Cone B
Height = 20 cm
Diameter = 4 cm
Cone C
Height = 10 cm
Diameter = 8 cm
The volume of a cone can be calculated using the following volume equation
Volume of a cone = 1/3π(d/2)²h
Where
h = height of the cone
r = radius of the cone
d = diameter of the cone
Using the above equations, we have the following computations
Volume of a cone A = 1/3π * (4/2)² * 10
Volume of a cone A = 40/3π
Volume of a cone B = 1/3π * (4/2)² * 20
Volume of a cone B = 80/3π
Volume of a cone C = 1/3π * (8/2)² * 10
Volume of a cone C = 160/3π
We can see that 160/3π is greater than 40/3π and 80/3π
Hence, cone C has the highest volume
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(5) A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Your answer
Submit
Answers
13.52 fluid were drunk by Andre
Frank’s grandfather collected animal fossils. Over his lifetime his grandfather had collected three billion, two hundred ninety-seven million, fourteen fossils. His grandmother also collected things, but she collected arrowheads. She had collected nine hundred seventeen million, three hundred seventeen thousand, eight hundred ninety-two arrowheads. What was the difference in the amounts they collected?
Frank’s grandfather collected
more items.
Answers
Answer:
The grandfather collected 2,379,682,122 more
Step-by-step explanation:
3,297,000,014 - 917,317,892 = 2,379,682,122
PLEASE WHAT IS THIS?!!? WHATS THE ANSWER?
Answers
Answer: bottom right
which of the following are not polynomials
Answers
Answer:
A, B, C
Step-by-step explanation:
The variables in a polynomial term are non-negative integers.
A: x is to 1/2 power (square root) . . . not a polynomial
B: x is to -2 power . . . not a polynomial
C: x is to -2 power . . . not a polynomial
D: x is to powers of 2 and 1 . . . is a polynomial
The choices A, B, and C are not polynomials
In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the pool then in the first week in the third week 135 more people went to the pool then in the second week in the first week 310 fewer people went to the pool then in the third week what is the percent decrease in the number of people who went to the pool over these four weeks
Answers
Answer:
25%
Step-by-step explanation:
The number of people who went to the local swimming pool in the;
first week = 1120
second week ( 105 fewer people) = 1120 - 105 = 1015
third week (135 more people) = 1015 + 135 = 1150
fourth week (310 fewer people|) = 1150 - 310 = 840
The percent decrease in the number of people who went to the pool over these four weeks
= (1120 - 840)/1120 * 100%
= 280/1120 * 100%
= 1/4 * 100%
= 25%
It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%
can i have ten dollahairs
Answers
maybe if you ask politely
Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule:
Answers
The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.
To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...
By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.
Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.
Let's calculate the differences between consecutive terms:
-45 - (-39) = -6
51 - (-45) = 96
57 - 51 = 6
From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.
Let's calculate the ratios between consecutive terms:
-45 / (-39) ≈ 1.1538
51 / (-45) ≈ -1.1333
57 / 51 ≈ 1.1176
The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.
Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.
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Can anyone help me with this problem?
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The scaling shown in the attachment is about as close as I can get using an on-line graphing program. You may fare better with graph paper. The vertex and x-intercepts are shown. The values at x=-3 and x=2 are y=11.
For how many years would $1,000 need to be invested at a 1% annual Interest rate to have an invest-
ment with a Future Value of $2,000?
Answers
Answer:
To find out how many years it would take to double an initial investment with a 1% annual interest rate, you can use the rule of 72. The rule of 72 states that you can divide 72 by the annual interest rate to find out how many years it would take to double an investment.
In this case, you would divide 72 by 1 to get 72 years. Therefore, it would take 72 years for an investment of $1,000 at a 1% annual interest rate to have a future value of $2,000.
Drag each tile to the correct boxArrange the pairs of points in increasing order of the slopes of the lines joining them.(15, 30) and (20.40)(12, 32) and (18,48)(27, 12) and (72, 32)(45, 15) and (60, 20)(27, 2) and (243, 18)(18,63) and (24. 84)(63, 9) and (84, 12)2021 Edmentum. All rights reserved.EXTI
Answers
We are asked to find the slopes of the given points and arrange them in increasing order.
Recall that the slope is given by
\(m=\frac{y_2-y_1}{x_2-x_1}\)Let us first find the slopes of the given points.
1. (15, 30) and (20, 40)
\(m_1=\frac{40-30}{20-15}=\frac{10}{5}=2\)2. (12, 32) and (18, 48)
\(m_2=\frac{48-32}{18-12}=\frac{16}{6}=\frac{8}{3}=2.67\)3. (27, 12) and (72, 32)
\(m_3=\frac{32-12}{72-27}=\frac{20}{45}=\frac{4}{9}=0.44\)4. (45, 15) and (60, 20)
\(m_4=\frac{20-15}{60-45}=\frac{5}{15}=\frac{1}{3}=0.33\)5. (27, 2) and (243, 18)
\(m_5=\frac{18-2}{243-27}=\frac{16}{216}=\frac{2}{27}=0.07\)6. (18, 63) and (24. 84)
\(m_6=\frac{84-63}{24-18}=\frac{21}{6}=\frac{7}{2}=3.5\)7. (63, 9) and (84, 12)
\(m_7=\frac{12-9}{84-63}=\frac{3}{21}=\frac{1}{7}=0.14\)Finally, let us arrange the slopes in increasing order (from least to greatest)
\(\begin{gathered} m_5=0.07 \\ m_7=0.14 \\ m_4=0.33 \\ m_3=0.44 \\ m_1=2 \\ m_2=2.67 \\ m_6=3.5 \end{gathered}\)Therefore, the increasing order of the slopes is
m5 = 0.07 (27, 2) and (243, 18)
m7 = 0.14 (63, 9) and (84, 12)
m4 = 0.33 (45, 15) and (60, 20)
m3 = 0.44 (27, 12) and (72, 32)
m1 = 2 (15, 30) and (20, 40)
m2 = 2.67 (12, 32) and (18, 48)
m6 = 3.5 (18, 63) and (24. 84)
Today, 7 friends went out for lunch. Their total bill was $36.31, including tax and gratuity. One of them ordered only soda and needed to pay only $1.15. The
other 6 friends ordered the same daily special.
How much did each of the other friends need to pay?
$0
1329330
X
5
Answers
Answer:
$5.86
Step-by-step explanation:
The total was $36.31
We were given the price of 1, which was $1.15
$36.31-$1.15 = $35.16 remaining
Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6
$35.16/6 = $5.86
what is the probability that either event will occur?
Answers
The probability that either event will occur is P ( C ) = 0.89
Given data ,
Let the probability that either event will occur be P ( C )
P ( A ) = 20/36
P ( B ) = 12/36
where P ( A or B ) = P ( C )
P ( C ) = P ( A ) + P ( B )
P ( C ) = 32/36
P ( C ) = 0.88888
Hence , the probability is P ( C ) = 0.89
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Write the expression without using exponents.
(−9x)4
Answers
The expression (-9x)^4 can be represented as -6561x^3 without using exponents.
To express the expression (-9x)^4 without using exponents, we can expand it by multiplying the base (-9x) four times using the multiplication property.
(-9x)^4 = (-9x) * (-9x) * (-9x) * (-9x)
To simplify this expression, we can multiply the terms together, taking care to apply the rules of multiplication:
(-9x) * (-9x) = (-9 * -9) * (x * x) = 81 * x^2 = 81x^2
So, by substituting this result back into the original expression, we get:
(-9x)^4 = 81x^2 * (-9x) = -6561 x^3
Therefore, the expression (-9x)^4 can be represented as -6561x^3 without using exponents.
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Which function is represented by the graph below?
Natural and common logarithms
Answers
The function represented by the graph is f(x) = ln(0.5x).
How do we know?The graph displays a diminishing curve that begins above the x-axis and moves closer to it as x grows.
Logarithmic functions most typically take this structure of graph.
Only f(x) = ln(0.5x), where ln stands for the natural logarithm, is one of the many functions that can express a logarithm.
The inverse of the exponential function with base e is the natural logarithm, which has a base of e (about 2.718).
The rate at which the function decrements is determined by the 0.5 coefficient in ln(0.5x).
The argument of the logarithm (0.5x) as it grows as x increases, causes the function to approach the x-axis more slowly.
This is consistent with how the graph in the provided graphic behaves.
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A bag of tokens contains 55 red, 44 green, and 55 blue tokens. What is the probability that a randomly selected token is not red? Enter your answer as a fraction.
Answers
Explanation
In the bag of tokens, we are told 55 red, 44 green, and 55 blue tokens. Therefore, the total number of tokens in the bag is
\(55+44+55=154\)Hence to find the probability that a randomly selected token is not red becomes;
\(Pr(not\text{ red black})=\frac{n(green)+n(blue)}{n(tokens)}=\frac{44+55}{154}=\frac{99}{154}=\frac{9}{14}\)Answer: 9/14