Remember that
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side
You only need to see that the two smaller sides are greater than the largest side
Verify
1) 7,8 and 9 cm
7+8 > 9 ------> is true
that means
The length sides form a triangle
Classify ------> is a scalene triangle
2) 1.5, 3 and 1.5 cm
1.5+1.5 > 3 -------> is not true
the length sides not form a triangle
3) 4,2 and 8 in
4+2 > 8 ------> is not true
the length sides not form a triangle
4) 5,5 and 5 m
5+5 > 5 -----> is true
that means
The length sides form a triangle
Classify ------>equilateral triangle
help please im a 4th grader and my homework due in 3 days 23948 plus 92374 please please
Answer: 116322
Step-by-step explanation:
23948+92374= 116322
At the gym, Diana always spends more minutes running than lifting weights.
PART A: Which equations describe the relationship between th number of minutes Diana runs, r, and the number of minutes she lifts weights, w. Select all that apply.
1. 12 + w = r
2. r = w - 12
3. w = 12 + r
4. r - 12 = w
5. r + w = 12
Answer:
2,3,5
Step-by-step explanation:
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of minutes Diana runs and w represent the number of minutes she lifts weight.
Since Diana always spends more minutes running than lifting weights. Hence:
r = w + 12
The equation that shows the relationship between r and w is r = w + 12 and 12 + w = r
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I understand this but I want to be sure I’m right help me pls
Answer:
Step-by-step explanation:
∡WXY = 138° - ∡ZXY
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/4Help please you will get 20 points
Answer:
Part B:
His measure is incorrect because the interior angles of every triangle result up to 180°. His measures (50+90+38) added up to 178; so his measures are false.
Determine the value of X in the kite please help last answer choice is D.8
Answer: x=2
Step-by-step explanation:
8=10x-12
20=10x
x=2
What mixed number is equivalent to 27/4
Answer: 6 3/4 I hope this helps
Step-by-step explanation:
27/4
Convert the improper fraction into a mixed number
6 3/4
Mixed number-A number written as a whole number and a fraction.
The area of a rectangular picture frame is 93.5 square inches. The area formula for a rectangle is A = l.w .Write and solve an equation to find the width, w, of the picture frame. 11 in. W Equation: w Solution: W= in.
The area is given by:
\(\begin{gathered} A=w\cdot l \\ \text{where:} \\ w=\text{width} \\ l=\text{length}=11in \\ A=93.5in^2 \end{gathered}\)Therefore:
\(93.5=11w\)Solve for w:
\(\begin{gathered} w=\frac{93.5}{11} \\ w=8.5in \end{gathered}\)for the figure below, give the following
Identify the coordinates of the vertex of f(x) = -(x + 5)2 + 8, and identify whether it is an absolute minimum or absolute maximum.
Answer:
It is in vertex form so:
(x-h) + k --> (x-(-5)) + 8 = (x + 5) + 8
(h,k)
(-5, 8)
This equation turns out to be linear. So it would be an absolute maximum probably since negative values of x are greater than positive values of x.
how was y'alls day? :)
answer-good how was yours
Choose >, <, or = to compare each pair of numbers
0.842 _____ 0.824
Answer:
>
Step-by-step explanation:
Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!
A bag contains 41 U.S. quarters and nine Canadian quarters. (The coins are identical in size.) If six quarters are randomly picked from the bag, what is the probability of getting at least one Canadian quarter? (Round your answer to one decimal place.
%
Answer:
The coins are picked without replacement.
The probability of picking at least one Canadian quarter is 1 minus the probability of picking 6 U.S. quarters:
\(1 - ( \frac{41}{50} )( \frac{40}{49} )( \frac{39}{48} )( \frac{38}{47} )( \frac{37}{46} )( \frac{36}{45} ) \)
\( = 1 - .28296 = .71704\)
So the probability of picking at least one Canadian quarter is about 71.7%.
what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94
Answer:
0.733
Step-by-step explanation:
Using a calculator or table:
P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)
P(-1.32 < Z < 0.94) = 0.8264 − 0.0934
P(-1.32 < Z < 0.94) = 0.733
7+4(2a+15)=-13
Please help
Answer:
a = -10
Step-by-step explanation:
Simplifying
7 + 4(2a + 15) = -13
Reorder the terms:
7 + 4(15 + 2a) = -13
7 + (15 * 4 + 2a * 4) = -13
7 + (60 + 8a) = -13
Combine like terms: 7 + 60 = 67
67 + 8a = -13
Solving
67 + 8a = -13
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-67' to each side of the equation.
67 + -67 + 8a = -13 + -67
Combine like terms: 67 + -67 = 0
0 + 8a = -13 + -67
8a = -13 + -67
Combine like terms: -13 + -67 = -80
8a = -80
Divide each side by '8'.
a = -10
Simplifying
a = -10
Question One:
If a raw score corresponds to a z-score of 1.75, what does that tell you about that score in relation to the mean of the distribution?
Question Two:
What if the raw score corresponds to a z-score of -0.85?
Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two: , the raw score is relatively lower than the mean.
If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.
A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.
Question Two:
If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.
To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.
In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.
By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.
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A bag contains counters that are red, black , or green . 1/3 of the counters are red 1/6 of the counters are black There are 15 green counters in the bag. How many black counters are in the bag ?
i’ll give brainliest;)
Answer:
Number of black counters = 5
Step-by-step explanation:
Let,
x be the total number of counters
Number of red counters = \(\frac{1}{3}x\)
Number of black counters = \(\frac{1}{6}x\)
Number of green counters = 15
Now,
Red counters + Black counters + Green counters = Total counters
\(\frac{1}{3}x+\frac{1}{6}x+15=x\\\\\frac{2x+x+90}{6}=x\\\\3x+90 = 6x\\90 = 6x-3x \\90 = 3x\\3x = 90\)
Dividing both sides by 3
\(\frac{3x}{3}=\frac{90}{3}\\x=30\)
Number of black counters = \(\frac{1}{6}*30\) = 5
Hence,
Number of black counters = 5
x - y = 6
x + y = 2
Solve by elimination
Step-by-step explanation:
Add the values
x - y = 6
x + y = 2
-------------
2x = 8
--------------
Substitute for x
2x = 8
x = 8/2
x = 4
insert x = 4 into equation x - y = 6
x - y = 6
4 - y = 6
-y = 6 - 4
-y = 2
-y/-1 = 2/-1
y = -2
∴ y = -2 , x = 4
Solved by elimination
Solved by elimination Through chibabykalu16
Over what interval does f(x) = 3* increase faster than g(x) = 9x?
A. 0 < x < 3
B. x > 3
C. 0
D. 2
Answer: B. x > 3
Step-by-step explanation:
A rectangle is 2 4/5 meters wide and 3 1/2 meters
long. What is its area?
Answer: Area = l × w
= 3.5 × 2.8
= 9.8 meters2
Step-by-step explanation:
Fidgets cost $3 each and Pop Its cost $4 each. If you buy a total of 20 Fidgets and Pop
Its for $75, which system of equations could you use to determine how many of each
you bought? Let x represent the number of fidgets you bought and y represent the
number of pop its you bought.
The number of fidgets and pop bought was 15 each
How to determine the equationFrom the information given, we have that;
1 fidget costs $3
1 Pop cost $4
Let the number of Fidgets be x
Let the number of Pop be y
Then, we have that a total of 20 fidgets and Pop cots $75
We have that;
20x + y = 75
Now, substitute the value of x as 3, we get;
20(3) + y= 75
expand the bracket
y = 75 - 60
y = 15
The number of fidgets is expressed as;
20x/4 = 20(3) /4 = 15
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If the triangles are similar, which must be true?
Answer: Two triangles are similar if they have: all their angles equal. corresponding sides are in the same ratio.
HOPE THIS HELPS
Drew wrote three equations.
32 = ? x4
56 : 7 = ?
?×? = 64
What number will make all of Drew's equations true? Enter your answer in the box.
? =
Answer:
8
Step-by-step explanation:
4*8=32
7*8=56
8*8=64
Compute 90, 91, 92, 93, 94, and 95. 90 = 1 91 = 9 92 = 81 93 = 729 94 = 6561 95 = 59049 Make a conjecture about the units digit of 9n, where n is a positive integer. If n is even, the units digit of 9n is 1 . If n is odd, the units digit of 9n is 9 . Use strong mathematical induction to prove your conjecture. Submit your proof as a free response. (Submit a file with a maximum size of 1 MB.)
Answer:
Step-by-step explanation:
First we compute \(9^n\), for \(n = 0,1,2,3,4,5\)
\(9^0=1,9^1=9,9^2=81,9^3=729,9^4=6561,9^5=59049\)
We have the unit digit of \(9^n\), is either 1 or 9
Therefore, the conjecture can be state as follows
Conjecture; the unit of digit of \(9^n\), is 1, when n is even and 9 when n is odd
Let the property p(n) be the formula;
"The unit digit of \(9^n\), is 1 when n is even and 9 when n is odd"↔ P(n)
To show p(n) is true , we will use strong mathematical inductive
Show tgat p(0) and p(1) are true
We have to show the unit digit of \(9^0\) is 1 and \(9^1\) is 9
Since any integer with zero power is one and hence
\(9^0=1\) and \(9^1 = 9\)
Therefore, p(0) and p(1) are true
Show that for al integer \(k\geq 1\), if p(i) is true for all integer i from o through k, then p(k+1) is also true
let k be any integer with \(k \geq 1\) and suppose that for all integer i with \(0 \leq i \leq \leq k\)
the unit digit of \(9^i\) is 1 when is even and 9 when n is odd
we must show that \(9^{k +1}\) equals 1 when n is even and 9 when n is odd
Case I; (k +1 is odd)
in this case k is even and so, by inductive hypothesis, the unit digit of \(9^k\) is 1 and hence there is some non negative integer q such that
\(9^k = 10q + 1\)
now, \(9^{k+1}=9^k(9)\)
= (10q + 1)9
= 90q + 9
= 10.9q + 9
Note that for any non negative integer q , 9q is also an integer and this implies the unit digit of \(9^{k+1}\) is 9
Case II
(k +1 is even)
in this case k is odd and so, by inductive hypothesis, the unit digit of \(9^k\) is 9 and hence there is some non negative integer q such that
\(9^k=10q+9\)
Now,
\(9^{k+1}=9^k.9\\=(10q+9)9\\=90q+81\\=10(9q+8)+1\)
Note that any non negative integer q, 9q + 8 is also an integer and this implies the unit of \(9^{k+1}\) is 1
Since we have proved both the basis and the inductive step of the strong mathematical induction, we conclude that the given statement is true
Gianna drives 5 miles in 10 minutes. If she drove three hours in total at the same rate,
how far did she go?
Before you try that problem, answer the question below.
How many minutes did Gianna drive in total?
Gianna is 90 miles far away in 3 hours of driving.
She drove in total of 180 minutes.
What is speed?The speed can be defined as the rate at which an object covers some distance. Speed can be measured as the distance traveled by a body in a given period of time. The SI unit of speed is m/s.
Given,
Gianna drives 5 miles in 10 minutes
Speed per minute = 5/10 = 0.5 miles/minute
Gianna drove in total for 3 hours
1 hour = 60 minutes
3 hours = 60 × 3 = 180 minutes
Distance Gianna drove in 180 minutes = speed per minute × time
= 0.5 × 180
= 90 miles
Hence, Gianna drove 90 miles in 3 hours, 180 minutes is total time she drove.
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(2-3i)+(-2+7i)= (2+ (− 2) ) + (−3+7)i
Answer:
is 121.004 I hope I've helped!
The graph shows that you are earning money at your part-time job at a constant rate. Which of these statements is NOT true?
Step-by-step explanathat one is true
Which ratio is equivalent to 4:5?
10
15
4
10
16.
20
15
풍
Answer:
16;20
Step-by-step explanation;
you can both multiply by 4
4 x 4 = 16 and 5 x 4 = 20.
Find the area of the rectangle 3m 2m 3m 2m
Answer:
6m
Step-by-step explanation:
A = L(W)
3 x 2 = 6
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries