Which information could he have used to determine this?
O GLH = ILM
O m KLM = 5m ILMO
O m GLI = 2m GLH
O m GLI = 1/2m GLH + 1/2m HLI
Answers
Answer:
m∠GLI = 2m∠GLH
Step-by-step explanation:
Angle GLI (red) is made of angles GLH (purple) and HLI (green).
m∠GLI = m∠GLH + m∠HLI
First option: ∠GLH ≅ ∠ILM (Angle GLH is congruent to angle ILM.)
This doesn't tell us anything about the relationship between angles GLI, GLH and HLI. So it can't be used.
Second option: m∠KLM = 5m∠ILM (Measure of angle KLM is 5 times the measure of angle ILM.)
This also cannot be used, because it doesn't include angles GLI, GLH or HLI.
Third option: m∠GLI = 2m∠GLH (Measure of angle GLI is two times the measure of angle GLH.)
Now this option is more interesting. It includes two angles of three that we are interested in.
If angle GLI is two times angle GLH, then that means that angle GLH is congruent to angle HLI!
Let's prove this with equations.
1) m∠GLI = m∠GLH + m∠HLI (from picture)
2) m∠GLI = 2m∠GLH (from third option)
Substitute m∠GLI in first equation with m∠GLI in second.
m∠GLI = m∠GLH + m∠HLI
2m∠GLH = m∠GLH + m∠HLI
m∠GLH = m∠HLI
So this proves that the angles GLH and HLI have the same measure, therefore ray LH is bisector of GLI.
Fourth option: m∠GLI = 1/2m∠GLH + 1/2m∠HLI
There are all angles we are interested in, but there is a mistake. We can see in the picture that angle GLI is made of angle GLH and HLI and not of half of them. This just is not true. The correct equation would be m∠GLI = m∠GLH + m∠HLI.
Related Questions
What is the length of the line?
Answers
If ur talking about vectors It’s (6,1)
What is 3/4 divided by 1/2
Answers
Fraction: 3/2
Decimal: 1.5
Answer:
1 1/2
Step-by-step explanation:
Convert both fractions into decimals
⇒ 3/4 (0.75) and 1/2 (0.50)
Divide the decimals:
⇒0.75 ÷ 0.50
Find the quotient
⇒ 1.5
Convert the quotient to a fraction
⇒ 1 1/2
Terms:
Operations with fractions
Hey I need help with statistics
Answers
ASSIGNMENTS
COURSES
2.(-4)2
3.42
Assignment 5. Solving Equations with Exponents
Attempt 10 of 7
Evaluate each expression. Determine if the final simplified form of the expression is positive or negative
1.-42
NEXT QUESTION
SECTION
Answers
Answer:
-16, 16, 16
Step-by-step explanation:
1) -16
2) 16
3) 16
Find the ratio of 18 inches to 2 yards B
A. 3/4 B. 1/4
C. 1/5 D. 2/5
Answers
Answer:
B. 1 / 4
Step-by-step explanation:
Step 1: We can turn 2 yards into 6 feet.
Step 2: Then we can turn 6 feet into 72 inches.
Step 3: We plug it into the ratio, getting 18 / 72.
Step 4: Simplify. We get 1 / 4 as the answer. Therefore, we choose B.
A coin tossed 5 times. What is the probability of getting
i) All heads?
ii) All tails?
iii) Exactly 2 heads
iv) Exactly 3 tails
v) Exactly 1 head
vi) At least two heads
Answers
umm....... I think it was exactly 2 head
a water tank is empty. Anil needs to fill the tank with 2400 litres of eater
Answers
Answer:
2400 liters in tank
Step-by-step explanation:
Company A would take 260 minutes more than Company B for filling 2400 liters of water in Anil's tank when the rate at which Company A fills is 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.
What is the meaning of rate?Rate is the ratio of quantity to time.
[tex]RATE = \frac{QUANTITY}{TIME}[/tex].
How to solve the question?In the question, we are asked to find the time which Company A takes more than Company B for filling a water tank of 2400 liters when Company A fills water at a rate of 8 liters in 1 minute and 40 seconds, while the rate at which Company B fills is 2.2 gallons per minute.
For Company A:
The capacity of the tank = 2400 liters
Rate = 8 liters in 1 minute and 40 seconds
Now, 1 minute and 40 seconds = 1 + 40/60 minutes = 1.67 minute
Therefore, the actual rate = 8/1.67 = 4.8 liters per minute.
Therefore, the time taken by Company A = 2400/4.8 minutes = 500 minutes.
For Company B:
The capacity of the tank = 2400 liters.
We know 1 gallon = 4.54 liters,
or, 1/4.54 gallons = 1 liter.
Therefore, the capacity of the tank = 2400 * (1/4.54) gallons = 528.634 gallons.
Rate = 2.2 gallons per minute.
Therefore, the time taken by Company B = 528.634/2.2 minutes = 240.288 minutes.
Therefore, the time that Company A takes more than Company B = 500 - 240.288 minutes = 259.712 minutes ≈ 260 minutes.
The given question is an incomplete question. The complete question is:
"A water tank is empty.
Anil needs to fill the tank with 2400 liters of water.
Company A supplies water at a rate of 8 liters in 1 minute and 40 seconds.
Company B supplies water at a rate of 2.2 gallons per minute.
1 gallon = 4.54 liters.
Company A would take more time to fill the tank than Company B would take to fill the tank.
How much more time?
Give your answer in minutes correct to the nearest minute."
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pls help i forgot how to do this :)
Answers
Answer:
in picture
Step-by-step explanation:
added in the picture
A cell phone towerbcast a shadow that is 40 feet long . An 10- foot- tall stop sign located near the tower casts a shadow that is 8 feet long. How tall is the cell phone tower?
Answers
Using proportions, considering the relation between the height and the shadow, it is found that the cell phone tower is 50 feet.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
When the shadow is of 8 feet, the height is of 10 feet. What is the height when the shadow is of 40 feet? The rule of three is:
8 feet - 10 feet
40 feet - h feet
Applying cross multiplication:
8h = 10 x 40
Simplifying by 8:
h = 10 x 5 = 50 feet.
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What is the horizontal and vertical shift for the absolute value function below f(x)=3[x+9]+6
Answers
We will see that we have a shift of 9 units to the left and 6 units upwards
How to identify the translations?For any given function H(x), we define a vertical shift of N units as:
g(x) = H(x) + N.
If N > 0, the shift is upwards.If N < 0, the shift is downwards.While a horizontal shift is written as:
g(x) = H(x + N).
If N > 0, the shift is to the left.if N < 0, the shift is to the right.Here we know that:
f(x) = 3*|x + 9| + 6
If the original function was:
H(x) = 3*|x|
Then we can write:
f(x) = H(x + 9) + 6
So we have a shift of 9 units to the left and 6 units upwards.
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6 out of 11 players played well on the baseball team. What percent is it?
Answers
Answer: 54%
Step-by-step explanation:
You will need to divide these numbers.
[tex]6/11=0.54[/tex]
After you divide that, simplify that to a percentage by multiplying it by 100.
[tex]0.54 *100=54%[/tex]%
I hope this helps!!
NEED HELP ASAP WILL MARK BRAINLIEST!
Answers
Answer:
log_{b} (5b) = 2.609
Given that:
log_{b} (3) = 1.099
log_{b} (5) = 1.609
Evaluating with that:
[tex]\sf log_b (5b) = log_b\left(5\right)+log_b\left(b\right)[/tex]
[tex]= \sf 1.609 + 1[/tex]
[tex]= \sf 2.609[/tex]
Rule Used:
[tex]\rm \log _a\left(xy\right)=\log _a\left(x\right)+\log _a\left(y\right)[/tex]
Given m = -1/2 and the point (3, -6), which of the following is the point-slope form of the equation
Answers
Answer:
y + 6 = -1/2(x-3)
Step-by-step explanation:
let me know if you want an explanation
Find x
proportions with similar triangles.
Answers
Answer:
32
(this is just an approximation due to the left triangle)
A bedroom measures 9 feet long and 11 feet wide. A scale drawing is made using a scale factor of 112.
What is the length of the bedroom in the scale drawing?
3/4 11/12 5/3
Answers
multiply the actual length by the scale:
9 x 1/12 = 9/12 = 3/4
Answer: 3/4
Solve 8x + c = k for x.
A. x=8(k-c)
OB. x=
_k+c
8
O C. x = 8(k+c)
O D. x=
k-c
8
Answers
Answer: [tex]x=\frac{c-k}{8}[/tex]
Step-by-step explanation:
[tex]1) \text { } 8x+c=k \text{ (given)}\\\\2) \text { }8x=c-k \text{ (subtract } k \text{ from both sides)}\\\\3) \text { } \boxed{x=\frac{c-k}{8}} \text{ (divide both sides by 8)}[/tex]
Expand each expression A ( x+1)^2 B(x-3)^2. C ( x+4)^2 D (x-1/2)^2
Answers
The expanded expressions are shown below:
(x + 1)² = x² + 2 · x + 1(x - 3)² = x² - 6 · x + 9(x + 4)² = x² + 8 · x + 16(x - 1/2)² = x² - x + 1/43 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75(1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2How to expand perfect square trinomials
Perfect square trinomials are polynomials of grade 2 with the form (a + b)² = a² + 2 · a · b + b². In this case, we have to expand six perfect square trinomials:
a) (x + 1)² = x² + 2 · x + 1
b) (x - 3)² = x² - 6 · x + 9
c) (x + 4)² = x² + 8 · x + 16
d) (x - 1/2)² = x² - x + 1/4
e) 3 · (x - 5)² = 3 · (x² - 10 · x + 25) = 3 · x² - 30 · x + 75
f) (1/2) · (x - 2)² = (1/2) · (x² - 4 · x + 4) = (1/2) · x² - 2 · x + 2
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What is the remainder of x^5+2x^4+9x^3-6x^2+3x+3165 divided by x-5
Answers
Answer:
8530
Step-by-step explanation:
The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530
The graph below have the same shape. What is the equation of the red graph
Answers
Answer:
G(x)=x³-1
because it intersect at the negative side of y
Answer:
g(x) = x³ - 1
(option C)
Step-by-step explanation:
We know that the shape of the graph has not changed, as stated in the question, meaning that the change has not happened as a direct change to x (like 2x³ instead of x³).
The entire graph has been moved down and not left/right, which would have happened inside the parenthesis (like g(x) = (x³ - 3)).
Because it has been shifted down (as evident by the y-intercept), and we know that the shape has not changed, we know that the original function was shifted down 1 --which can be expressed by the equation g(x) = x³-1
Eli read 1 book in 5 months If he read constantly how many books did he read?
Answers
Answer:
(life span - age when he started reading)/5months =number of books he read
Step-by-step explanation:
(life span - age when he started reading)/5months =number of books he read
A dairy farmer wants to make 45% protein supplement and a standard 15% protein ration to make 1800 pounds of high grade 35% protein ration how many pounds of each should be used.
Answers
1200 pounds of protein supplement and 600 pounds of standard protein is used.
Let a be the protein supplement and b be the standard protein.
Given that protein supplement and standard protein make 1800 pounds of high grade protein.
i.e., a+b = 1800 ------- (1)
45% a + 15% b = 35% 1800
0.45a + 0.15b = 1800 (3.5)
By (1), a = 1800 - b
Substituting, we get
0.45 (1800-b) + 0.15b = 630
810 - 0.45 b + 0.15b = 630
- 0.3 b = - 180
b = -180/-0.3
b = 600
Substituting b = 600 in (1),
we get
a = 1200.
Hence, 1200 pounds of protein supplement and 600 pounds of standard protein is used.
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help please
what is
Answers
Option A. is correct for the given condition.
Lets solve it through steps of range and functions,
First of all, Solve the equation:
[tex]f(x) = |x|+5[/tex]
[tex]= > x = -5[/tex] (1)
[tex]= > x = 5[/tex] (2)
So these would be the ranges of X in between 5 and -5.
Hence option A. [tex]R{f(x)eR [f(x) < 5}[/tex] is correct.
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Select the correct answer. Consider this function. Which graph represents the inverse of function f? The linear function on a coordinate plane passes through (4, 3), and (2, 2) which intercepts the axis at (0, 1), and (minus 2, 0). W. The linear function on a coordinate plane passes through (minus 4, 4), and (2, 1) which intercepts the axis at (4, 0), and (0, 2). X. The linear function on a coordinate plane passes through (3, 4), and (minus 1, minus 4) which intercepts the axis at (1, 0), and (0, minus 2). Y. The linear function on a coordinate plane passes through (minus 1, 4), and (2, minus 2) which intercepts the axis at (0, 2), and (0, 1). Z. A. W B. X C. Z D. Y
Answers
Answer:
A , C , D , i thinks it another one but ionk
Step-by-step explanation:
In a test of the effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes (before-after) in their levels of LDL cholesterol (in mg/dL) have a mean of3.1 and a standard deviation of 16.6. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol? Click here to view a t distribution table.LOADING... Click here to view page 1 of the standard normal distribution table.LOADING... Click here to view page 2 of the standard normal distribution table.LOADING... What is the confidence interval estimate of the population mean ?
Answers
The confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.
A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 percent confidence level is the most common, but other levels, like 90 percent or 99 percent, are occasionally used when computing a confidence interval.
Given in a test of effectiveness of garlic for lowering cholesterol, 50 subjects were treated with garlic in a processed tablet form.Both before and after the therapy, cholesterol levels were assessed.
LDL cholesterol variations had a mean of 4.4 and a standard deviation of 19.4 (in mg/dL). The best point estimate is 4.4.
We have to find 95% confidence interval estimate of the population mean
So,
x-bar = 4.4
ME = 1.96 = 5.27
H: no difference
Ha: is a difference
We fail to reject H since 0 is in the CI.
Hence the confidence interval estimates that the confidence interval limits contain 0., suggesting that the garlic treatment did not affect the LDL cholesterol levels.
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Question 2
A) 800 cents
A laptop computer consumes about 40 watts of electricity per hour when operating. At $0.20 per kilowatt-hour, how much does.
laptop cost to operate for 10 hours?
B) 40 cents
200 cents
8 cents
19 OF 20 QUESTIONS REMAIN
Question 3
10 Point
10 Points
Answers
Answer: $80
Step-by-step explanation:
Given:
The laptop consumes 40 watts/hour
The operating cost is $0.20 per kilowatt - hour
So,
The cost for 1 hour of consumption = 40 * 0.20 = $8
The cost for 10 hours of consumption = $8 * 10 hours = $80
What is x, the distance between points A and A'? D.15
Answers
The value of x that fills the coordinate are 7 or -5
Distance between two pointsThe formula for calculating the distance between two points is expressed as:
D = √(x2-x1)² +(y2-y1)²
Substitute the given coordinates
10 = √(15-7)² +(1-x)²
100 = 8² +(1-x)²
(1-x)² = 100 - 64
(1-x)² = 36
1- x = -6
x = 7 or -5
Hence the value of x that fills the coordinate are 7 or -5
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Complete question
If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.
To which subsets of the Real Numbers does square root of 36 belong.
Answers
Answer:
The square root of 36 is a rational number. A rational number is a number that can be written as a fraction, a/b, where a and b are integers.
Answer:
Step-by-step explanation:
Hi, let me help you out.
The square root of 36 is 6.
6 belongs to the following subsets.
Natural Numbers (All numbers greater than 1, except fractions or decimalsWhole Numbers (All Natural Numbers + 0; fractions are still NOT included)Integers (All Whole Numbers + negative numbers; this set includes neither fractions nor decimals, like the two number sets aboveRational Numbers (All integers plus - wait for it - fractions & decimals!)Overall, 6 belongs to 4 sub-sets.
__________________
Hope I helped! Best wishes.
___________________
an animal shelter takes in an average of 5 animals per day. the shelter must keep its total occupancy below 300. currently the shelter has 165 animals. if none of the animals get adopted which inequality represents how many more days, x, the shelter can continue to take in animals without exceeding its occupancy limit?
Answers
Answer:
y= 5x+165
Step-by-step explanation:
the slope is 5, so five per day, plus the y-intercept, or when x = 0
Brainliest pls
If AABC = ADEF, which congruences are true by CPCTC? Check all that
apply.
Answers
Answer: it's A, B, and D
Step-by-step explanation:
4
Jake is the starting quarterback on his school's football team. He has completed 38 of his 79 passes this season. Which of the
following values is closest to his percentage of pass completions this season?
OA. 51%
OB. 48%
OC. 38%
OD. 30%
Reset
Submit
Session Timer: 7:52
Session Score:?
Please help
Answers
Answer: A) 51%
Step-by-step explanation:
We can estimate the percentage of pass completions by rounding both values. While estimation does not give an exact answer it will give one that is close.
38 rounds up to 40 and 79 rounds up to 80.
Now it is easier to divide.
40/80=1/2
1/2=50%
The closest answer to 50% is 51% which must be the answer.
Answer:
A)
Step-by-step explanation:
