what is Midsegment of a Triangle Theorem
Answer: The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Step-by-step explanation:
If a varies inversely with b, and a=20 when b=14, find the equation that relates a and b.
Answer:
ab = 280
or
a = 280/b
Step-by-step explanation:
Inverse variation is of the form
xy = k
Since we have a and b as our variables
ab = k
20 *14 = k
280 = k
ab = 280
Sometimes they write it as
a = 280/b
what percenr of 60 is 15
Answer:
9%
Step-by-step explanation:15% of 60 is 9%
Answer:
25%
Step-by-step explanation:
Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
7 x 10 PowerPoint 6.
Answer:
420
Step-by-step explanation:
7 x 10^6 = 7 x 60 = 420
Answer:
7000000
Step-by-step explanation:
10^6 = 1000000
1000000 x 7
A family spends $540 every month on food. If the family's income each month is $1800, what percent of the family's income is spent on food?
Answer:
1,260
Step-by-step explanation:
This is if you subtract those numbers up you would get 1,260
What is the perimeter of a hexagon with a side length of 31cm?
Answer:
186cm im pretty sure
Step-by-step explanation:
Answer:
The perimeter is 186 centimeters.
Step-by-step explanation:
The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:
31 + 31 + 31 + 31 + 31 + 31
Or in simpler terms:
31 times 6.
All you need to do is multiply, and the answer comes out to 186cm
How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy
Answer:
[tex]300\; \rm lb[/tex].
Step-by-step explanation:
Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.
Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?
Mass of copper in [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy: [tex](0.15\, x)\; \rm lb[/tex].Mass of copper in [tex]700[/tex] pounds of that [tex]30\%[/tex] copper alloy: [tex]700 \times 0.30 = 210\; \rm lb[/tex].Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.
The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].
This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:
[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].
[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].
Simplify and solve for [tex]x[/tex]:
[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].
[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].
[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].
Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.
What makes a function
Answer:
a relation of X to Y, if one element from X is equal to one element from Y.
Step-by-step explanation:
a function in which one thing from X is equal to one thing from Y...
What value of x makes the following equation true?
4 + 3x = 106
Answer:
34
Step-by-step explanation:
Step 1:
4 + 3x = 106 Equation
Step 2:
3x = 102 Subtract 4 on both sides
Step 3:
x = 102 ÷ 3 Divide
Answer:
x = 34
Hope This Helps :)
find standard deviation, o, for the binomial distribution which has the stated values of n and p. round your answer to the nearest hundredth. n =503: p=0.7
Answer:
Step-by-step explanation:
N=503
P=0.7
Sqrt(503×0.7(1-0.7))=10.28
The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
The value of n = 503
The value of p = 0.7
For the binomial distribution:
As we know,
The formula for the standard deviation:
σ = √[p(1 - p)n]
Plug the values of p, and n, we get:
σ = √[0.7(1 - 0.7)503]
σ = √[0.7(0.3)503]
σ = √[0.21x503]
σ = √[105.63]
σ = 10.277 ≈ 10.28
Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.
Learn more about the standard deviation here:
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A SURVEY OF 1,000 PEOPLE WAS DONE BY NEW YORK TIMES. 90% OF THE PEOPLE
DID NOT KNOW THE NAME OF THEIR REPRESENTATIVE IN CONGRESS. HOW MANY
OF THE 1,000 PEOPLE KNEW THE NAME OF THE CONGRESSMAN?
Step by step explains I need to show my work !
Answer:
100 people
Step-by-step explanation:
first we gotta find 90% of 1000 to do that we multiply 1,000×90% or 1000×0.90 (same thing)
this equals 900 so 900 people don't know the name of their rep in congress subtract 1000-900 thus 100 ppl know there rep in congress
Answer:
100 people did know they're representative
Step-by-step explanation:
You just have to scale up the problem for example 10% of 100 is 10 but 10% of 1,000 is 100(If you need me to be more clear please let me know)
. Steve drove for 812 hours at 72 miles per hour. How much distance did he travel?
Answer:
58464
Step-by-step explanation:
Multiply the two numbers
Answer:
If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles
Step-by-step explanation:
To find distance dealing with time and speed, we can use the formula d=rt.
D= Distance
R= Speed
T= Time
Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles
Hope this helps! :)
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
Find the linear function with the following properties.
f(−4)=6
Slope of f=−6
Given:
f(−4)=6
Slope of f=−6
To find:
The linear function with the given properties.
Solution:
We have,
f(−4)=6
It means, the value of linear function is 6 at x=-4. So, the linear function passes through the point (-4,6).
Slope of f=−6
The point slope form of a linear function is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the linear function.
On substituting the values, we get
[tex]y-6=(-6)(x-(-4))[/tex]
[tex]y-6=-6(x+4)[/tex]
[tex]y-6=-6x-24[/tex]
Add 6 on both sides.
[tex]y-6+6=-6x-24+6[/tex]
[tex]y=-6x-18[/tex]
The function form of this linear equation is
[tex]f(x)=-6x-18[/tex]
Therefore, the required function is [tex]f(x)=-6x-18[/tex].
Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?
Answer:
- 1/2
Step-by-step explanation:
Just took the test
The value of cot (b) using trigonometry is -1/2 when tan b = -2.
Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).
In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.
Given:
tan(b) = -2
The cotangent (cot) of an angle is the reciprocal of the tangent:
cot(b) = 1 / tan(b)
Now, substituting the given value of tan(b):
cot(b) = 1 / (-2)
cot(b) = -1/2
So, the value of cot(b) is -1/2.
Learn more about Trigonometry here:
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Can you conclude with a high degree of confidence that the population means for Iowa and New Jersey students are different? A. Because of the extremely low p-value, we cannot reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are not different. B. Because of the extremely high p-value, we can reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are different. C. Because of the extremely low p-value, we can reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are different. D. Because of the extremely high p-value, we cannot reject the null hypothesis with a very high degree of confidence. Hence, the population means for Iowa and New Jersey students are not different.
Complete Question
The complete question is shown on the first uploaded image
Answer:
Option A is correct
Step-by-step explanation:
From the question we are told that
The 95% confidence interval of the mean score of all New Jersey third graders is (58.957 , 63.043)
The sample size is n = 184
The sample average is [tex]\mu = 65 \ points[/tex]
The standard deviation is [tex]\sigma = 13 \ points[/tex]
The 90% confidence interval for the difference in mean score between lowa and New Jersey is (-6.33 , -1.67 )
The p-value is [tex]p-value = 0.0048[/tex]
Generally given that the p-values is very low compared to the level of significance (100 -90 = 10% = 0.10 ) we can reject the null hypothesis which is usually a claim that the means of the population are the same )
Hence the population means are different .
how many centiliters are in 3 quarts?
Answer:
283-284
The real answer is like 283.906
Determine whether each equation represents a proportional relationship.
y = 3 + x
Proportional Relationship
Not a Proportional Relationship
y = 1.6%
y = 3/(4x)
y = x
y = 12x
y = 2x + 1
Answer:
Proportional Relationship: I Not a Proportional Relationship:
y=1.6x I y=3/(4x)
y=x I y=2x+1
y=12x . I y=3+x
Explanation:
I took the test and that's how i got these answers.
Is it geometric or arithmetic? Why
Answer: It is Geometric.
Step-by-step explanation: Because it does not have a fixed pattern that adds or subtract which arithmetic does.
Which ratio is equivalent to 3:7?
A 6:7
B 3:21
C 24:56
D 15:30
Answer:
c
Step-by-step explanation:
Answer:
C. 24:56
Step-by-step explanation:
3/7 * 8/8
3*8 = 24
7*8 = 56
24/56
A lady decides she wants to start saving more money so she can buy a house. So, she decides to trick herself into saving by creating a challenge for herself. She bought a box of 100 envelopes and wrote the numbers 1-100 on separate envelopes. Twice a week, she drew two envelopes at random and put the corresponding amount of cash inside. (So, if she drew envelope 23, she put $23 inside). How much will she save? How long will it take her to fill all the envelopes?
Answer:
she should at least have $1,150 in at least 575 weeks
Step-by-step explanation:
please help! Will mark you as BRAINLIEST!!!!!
Answer:
2x²-2x+5y doing the math reply if you need explanations
find the value of x. The answer is 53, but I need to show my work.
THANK YOU!!!
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53
a man spent 58% of his income and the amount of money left was $210. Find his income
Answer:
500 $
Step-by-step explanation:
[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]
[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]
[tex]\frac{21}{50}x=210\\[/tex]
[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]
x=500
<3
Red
Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?
Answer:
5 hours
Step-by-step explanation:
3h5min+1h55min=5hours
Answer:
3+1=4
55+5=60
60 minutes make an hour
=5
Step-by-step explanation:
I dont understand do I multiply four to get the area?
Answer:
yes
Step-by-step explanation:
3×5×45=365m²
Answer:
yes
Step-by-step explanation:
Jody and Mark are using the spinner shown for a probability experiments they spend the spinner on the left if they spin A2 or A3 then they spin the spinner on the right which organized list showing all the possible outcomes for
Answer:
2 and 4
3 and 4
2 and 5
3 and 5
2 and 6
3 and 6
Plzz do correctly also worth a lot of points
Answer:
I believe the Answer is B
I'm really sorry if this is wrong.
Step-by-step explanation:
I tried my best :)
Write the slope intercept form of the equation of the line through the given point with the given slope.
1) through: (3,4), slope = 2
2) through: (5,-5), slope=-6/5
Answer:
1) y = 2x-2
2) y = -6/5+1
Step-by-step explanation:
