Answers
Explanation:
The HL theorem is the hypotenuse leg theorem.
The HL theorem is referred to the congruency of right triangles.
This theorem states that two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
Figure A shows the congruency of two pairs of legs. So, this is not the answer.
Figure B shows the congruency of one pair of legs and one pair of angles. So, this is not the answer.
Figure C. shows the congruency of the two hypotenuses and one pair of legs. So, this is the righ answer.
Related Questions
What number is 8.0007 • 10 ^6 in scientific notation?
Answers
Take the decimal and move it six spaces to the right.
Answer is 8000700
Hope it helped you.
-Charlie
[tex]12 \times 778 [/tex]
Answers
~~~~~~~~~~~~~~~~~~
778*12
Answer is=9336
-Charlie
Final answer:
To multiply 12 by 778, one needs to perform the standard multiplication process. Multiplying each digit of 12 by 778 individually and then adding the results provides the final answer, which is 9336.
Explanation:
The student's question involves performing a multiplication operation, specifically 12 multiplied by 778. To solve this without a calculator, one can use a standard multiplication technique as follows:
Write down the two numbers, with 778 above 12.
First, multiply 2 (the rightmost digit of the lower number) by 778 to get 1556.
Next, multiply 1 (the leftmost digit of the lower number) by 778 and remember to add a zero at the end (because it represents the tens place), which gives us 7780.
Add the two results, 1556 and 7780, to get the final answer, which is 9336.
The result of 12 times 778 is 9336.
A camera manufacturer spends $2,100 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $14 each. a. How many cameras must the company sell in one day to equal its daily costs? b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Answers
B. If they sold an extra 50 cameras a day, since they make $5 a camera, that would give them an extra profit of $250 a day.
B. For making 50 more cameras each day, they'd make $250 dollars more per 50 cameras.
A. To find this, you can simply multiply 420 by $14. This will give you how much they make from selling that many cameras ($5,880). Next you need to multiply 420 by 9 (labor an material cost per camera), then add $2,100 (expenses). This will give you the same cost ($5,880), thus making them equal, and proving 420 is the answer.
B. To find this, you do the same steps as above, by replacing 420 with 470, (470*$14 = $6,580) and (470*9 + $2,100 = $6,330). Then you subtract $6,330 from $6,580. Thus getting $250.
I hope this helps!
Two functions are represented in different ways. Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer. Function 1 has a greater rate of change than function 2. Function 2 has a greater rate of change than function 1. Function 1 has a greater y-intercept than function 2. Function 2 has a greater y-intercept than function 1.
Answers
rate of change = 32
y-intercept = 45 when x = 0
Function 2: x y 0 65 1 85 2 105 3 125
rate of change = (85-65)/(1-0) = 20
y-intercept = 65 when x = 0
So the following statements are correct:
Function 1 has a greater rate of change than function 2.
Function 2 has a greater y-intercept than function 1.
Answer:
Step-by-step explanation:
Function 1: y = 32x + 45 <- 45 is y-intercept
Function 2: x y 0 65 <- 65 is y-intercept
So Function 2 has a greater y-intercept than function 1.
Function 1: y = 32x + ... <- 32 is rate of change
Function 2: x y 0 65 1 85
rate of change = 85 - 65 = 20
So Function 1 has a greater rate of change than function 2.
Find the area of 7.1m. Round to the nearest tenth. Use 3.14.
Answers
A right triangle has one side, s, and a hypotenuse of 12 meters. Find the area of the triangle as a function of s.
A) A(s) = 2s
144 - s2
B) A(s) = s
144 - s2
C) A(s) = 2s
12 - s2
D) A(s) = 12s
144 - s2
10)
The base of a ladder is placed 5 feet away from a 13 foot tall wall. What is the minimum length ladder needed to reach the top of the wall (rounded to the nearest foot)?
A) 12 ft
B) 13 ft
C) 14 ft
D) 15 ft
Answers
we know that
area of triangle=b*h/2
b=s
applying the Pythagoras theorem
h²=12²-s²--------> h=√(144-s²)
so
A=(1/2)*s*√(144-s²)
Part b)
applying the Pythagoras theorem
c²=a²+b²
in this problem
c is the minimum length ladder needed to reach the top of the wall
a=5 ft
b=13 ft
so
c²=5²+13²-----> c²=194--------> c=13.93 ft-------> c=14 ft
the answer is
14 ft
PLEASE HELP ME OUT ASAP!! I would really appreciate your help!
Answers
Answer D.
Problems with AB and C
A
The problem with A is that they won't always produce more potatoes than corn. That will happen only in the beginning.
B
Clearly B is wrong. The amount of corn in the beginning was 25000 pound. In the meantime potatoes were produced at a yearly rate of nearly 50000 pounds of potatoes.
C is wrong because of what A says.
Evaluate the expression 5a + 5b. Let a = -6 and b = -5.
Answers
n = 5a + 5b
n = 5(-6) + 5(-5)
n = -30 + -25
n = -55
Hope this helps
Will give branliest!
Please help me!
The students in Mr. McIntyre’s class and the students in Mrs. Ramos’s class were asked how many pets they each have. The dot plots below show the results. Which compares the means of the data in the dot plots?
The mean for Mr. McIntyre’s class is about 2 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 2 more than the mean for Mr. McIntyre’s class.
The mean for Mr. McIntyre’s class is about 1 more than the mean for Mrs. Ramos’s class.
The mean for Mrs. Ramos’s class is about 1 more than the mean for Mr. McIntyre’s class.
*The first picture is Mr. McIntyre’s Class
*The second picture is Mrs. Ramos’s Class
Answers
Mr. McIntyre's class mean is:
[tex]\frac{5(0)+5(1)+4(2)+ 1(3)}{5 + 5+4+1} = \frac{5+8+ 3}{15}= \frac{16}{15}= approx. 1.07[/tex]
Mrs. Ramos' class mean is:
[tex] \frac{1(0)+2(1)+2(2)+4(3)+3(4)+3(5)}{1+2+2+4+3+3} = \frac{2+4+12+12+15}{15}= \frac{45}{15}=3[/tex]
Based on these findings, we can conclude that the mean for Mrs. Ramos' class is about 2 more than the mean for Mr. McIntyre's class.
Answer:
If you are lazy like me the answer is B
Step-by-step explanation:
ur welcome :D
amelia and 2 of her friends went out to lunch. each girl ordered exactly the same meal. the total cost 55.08, which included 8% sales tax. what was the price of each meal, not including tax?
Answers
108% = 55.08
1% = 55.08 ÷ 108 = $0.51
100% = $51
3 meals = $51
1 meal = $51 ÷ 3 = $17
Answer: $17
Answer:
$16.8912
Step-by-step explanation:
We are given that Amelia and her two friends went out to lunch.
If each girl ordered exactly the same meal.
We have to find out the value of price of each meal without tax.
Total cost of meals=$55.08
Cost of 3 meals with tax=$55.08
Sales tax=8% of $55.08
8% of 55.08=[tex]\frac{8}{100}\times55.08[/tex]
8% of 55.08= $4.4064
Cost of 3 meals without tax=$55.08-$4.4064=$50.6736
Cost of each meal=[tex]\frac{50.6736}{3}=[/tex]$16.8912
Hence, the cost of each meal without tax=$16.8912
Which expression is equivalent to
Answers
The equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Logarithms and indicesTo get the equivalent expressions for the given logarithmic function, we will use the following laws of logarithm:
Laws of logarithm[tex]logab=loga+logb\\ log(\frac{a}{b} )=loga -logb[/tex]Given the logarithmic function:
[tex]log_{12}(\frac{1/2}{8w}) [/tex]
This can be further expressed as:
[tex]log_{12}(\frac{1/2}{8w} )[/tex][tex]log_{12}(\frac{1/2}{8w} )=log\frac{1}{2}-log8w [/tex]
Using the product law of logarithm
[tex]log_{12}(\frac{1/2}{8w}) =log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Hence the equivalent expression is [tex]log(\frac{1}{2} ) -log_{12}8+log_{12}w[/tex]
Learn more on logarithm here: https://brainly.com/question/247340
Find the lowest common multiple of 28 and 210
Answers
Answer:
420
Step-by-step explanation:
210 = 14×15
28 = 14×2
The LCM wil be the product of unique factors;
... LCM = 14×15×2 = 420
Part I: Angle Sum Relationships
Arrange the three congruent triangles so that angles 1 and 3 are adjacent to one another, and angle 2 is adjacent to angles 1 and 3.
B. What do you notice about the three angles?
C. What do they appear to form?
D. What can you conclude about the sum of the angles in a triangle?
Answers
They appear to form a straight line.
It means that the sum of the three angles of a triangle is appears to be 180 degrees.
Answer with explanation:
→→The three Angles form a Linear pair.That is
⇒∠1+∠2+∠3=180°
→→When these three congruent triangles are joined they form a Trapezoid.
→→Sum of angles in a trangle is given by Angle sum property Axiom of triangle which states that sum of the angles in a triangle is 180°.
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
Answers
what is the gcf of 12 78 and 90
Answers
Factors are the numbers, that when multiplied with another number, equal the product.
Factors of 12: 1, 2, 3, 4, 6, and 12.
Factors of 78: 1, 2, 3, 6, 13, 26, 39, and 78.
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 20, 45, and 90.
The Greatest Common Factor is the highest factor shared among the products. Thus proving 6 is the GCF.
I hope this helps!
Hey can you please help me posted picture of question
Answers
The explanation is shown below:
1. As you can see in the figure attached, the blue parabola has the function f(x)=x^2. This is the patern function. By definition, this is the most basic function of the quadratics functions.
2. The red parabola is shifted 2 units to the -y axis and is wider than the first one, by multiplying the variable x. Therefore. As you can see, the correct function that represents this parabola is the function of the option D
3. If you want to verify it, you can give values to x and plot each point on a graph.
a) F(x) is wider than G(x)
This can be obtained by multiplying the function by a value with magnitude less than 1.
b) F(x) is shifted down
This can be obtained by subtracting a number from the function value.
From the given option, only option D satisfies these conditions.
So, the correct answer is option D
A school table has 8 sides of equal lengths. if one side is 4 feet, what is the perimeter of the table?
Answers
4 x 8= 32
Eight sides = 32 feet
hey can you please help me posted picture of question
Answers
Moving one unit to left is equivalent to adding 1 to x in the base of the expression in given case.
So,
G(x) = F(x+1)
G(x) = (x+1)²
Thus the correct answer is option D
Set A is the set of all positive multiples of 2 that are less than or equal to 20. Set B is the set of all positive multiples of 4 that are less than or equal to 20. How many elements are positive multiples of 4 that are less than or equal to 20, but are not positive multiples of 2?
Answers
B = {4, 8, 12, 16}
All elements of set B are also elements of set A.
Answer: None.
All multiples of 4 are automatically multiples of 2.
#3 Q. the diagrams solve please
Answers
Hope this helps :)
area = 22.5 ft²
Explanation:
The total area can be calculated by summing the areas of the rectangle and the triangle.
1- getting the area of the rectangle:
area of square = length * width
In the given, we have:
length = 4 ft
width = 5 ft
Therefore:
area of rectangle = 4 * 5 = 20 ft²
2- getting the area of the triangle:
area of triangle = 0.5 * base * height
In the given, we have:
base = 5 ft
height = 1 ft
Therefore:
area of triangle = 0.5 * 5 * 1 = 2.5 ft²
3- getting the total area:
Total area = area of rectangle + area of triangle
Total area = 20 + 2.5 = 22.5 ft²
Hope this helps :)
Find the GCF of the following terms.
16xy^3 , 20x^2y^2 , -4x^2y
Answers
The value of (a-1)+a^2-b^2/1-ab+2(a-b)/2b when a=2 and b=-1 is ?
Answers
substituting the values in the expression we obtain:
(2-1)+2^2-(-1)^2/1-(2*(-1))+2(2-(-1))/(2(-1))
simplifying the above we get:
1+4-1/1-(-2)+2(2+1)/(-2)
=1+4-1+2(3)/(-2)
=1+4-1-3
=5-4
=1
Answer: 1
Final answer:
The value of the expression (a-1) + a^2 - b^2 / (1-ab) + 2(a - b) / (2b) when a=2 and b=-1 is -5/3.
Explanation:
To calculate the given expression when a=2 and b=-1, we first plug these values into the expression, which is (a - 1) + a^2 - b^2 / (1 - ab) + 2(a - b) / (2b). After substitution, it simplifies as follows:
The term (a - 1) becomes (2 - 1), which equals 1.
The term a^2 - b^2 becomes 2^2 - (-1)^2, which simplifies to 4 - 1 = 3.
The denominator 1-ab becomes 1 - (2)(-1), which equals 1 + 2 = 3.
The term 2(a - b) becomes 2(2 - (-1)), which is 2(3) = 6.
The denominator 2b becomes 2(-1), which is -2.
Now, the full expression simplifies to (1 + 3) / 3 + 6 / -2. Simplifying further, we get 4 / 3 + (-3), which equals to 4/3 - 3/1. After finding a common denominator, the expression simplifies to (4 - 9) / 3, which is -5/3.
Therefore, the value of the expression when a=2 and b=-1 is -5/3.
The following figures were entered on a checking-account record. Add or subtract them to keep the running total correct. Balance forward $643.72 Check #5734 to Lupe's Market, for food, for $68.29 $ Deposit of $341.80, a paycheck $ Check #5735 to Broadmoor Community Center in the amount of $34.18 $ Check #5736 to Bill Baughman, for plumbing services, for $60.00 $
Answers
It is given Balance forward $643.72 in the account. An amount of $68.29 is given to to Lupe's Market, for food. In the account a Deposit of $341.80 is made.A Cheque of $34.18 is given to Broadmoor Community Center .Charge for for plumbing services, is $60.00 .
Transactions made in the account = $643.72-68.29+341.80-34.18-60.00
Amount left in the account =$823.05.
Answer:
Running Total = $823.05
Step-by-step explanation :
When the figures were entered on a checking account record to keep the running total correct :
Balance forward = $643.72
Check #5734 to Lupe's Market for food = $68.29
A deposit = $341.80
Check #5735 to Broadmoor Community Center = $34.18
Check #5736 to Bill Baughman for plumbing services = $60.00
Total Transactions :
643.72 - 68.29 + 341.80 - 34.18 - 60 = $823.05
Total balance = $823.05
£600 is put in a bank. after a year the money has increased by 8% how much is now in the bank
Answers
Money in the bank now = £600 + £48 = £648
Answer: £648
stumpy the skeleton goes for a bike ride every night in the cemetery. He rides 1/2 way around the cemetery and stops. Stumpy then bikes 3/4 of the way around before stopping again. he finishes his ride by biking another 3/8. how far around the cemetery does stumpy bike?
Answers
What is the value of q when the solution contains 2.50×x10−3 m mg2+ and 2.00×10−3m co32−?
Answers
Explanation:
The chemical equation is:
[tex]MgCO_3 \to Mg^{2+} + CO_3^{2-}[/tex]
The value of Q can be obtained as follows:
Q = [[tex]Mg^{2+}[/tex]][[tex]CO_3^{2-}[/tex]]
Q = [2.50×x10^−3][2.00×10^−3]
Q = [tex]5.0 * 10^{-6}[/tex]
Suppose there is exactly one index k such that a[k] = x. what is the expected number of indices into a that we must pick before we find x and random-search terminates?
Answers
Morgan uses 1/4 of her supply of raisins to make trail mix and 3/8 of her supply of raisins to make cookies. If Morgan uses 5 pounds of raisins, how many pounds of raisins are in her supply?
Answers
There are 8 pounds of raisins in Morgan's supply.
Let us say there are 'a' pounds of raisins in her supply.
What is a fraction?Fraction is a manner to represent part of a whole.
Raisins used to make trail mix = 1/4 of a = 1/4 a
Raisins used to make cookies = 3/8 of a = 3/8 a
It is given that:
Morgan uses 5 pounds of raisins,
[tex]\frac{1}{4} a+\frac{3}{8} a=5[/tex]
[tex]\frac{5}{8} a = 5\\\\a=8[/tex]
Therefore, there are 8 pounds of raisins in Morgan's supply.
To get more about fractions visit:
https://brainly.com/question/78672
Morgan's total supply of raisins is 8 pounds.
Let's denote the total supply of raisins by R. According to the problem, Morgan uses 1/4 of her supply to make trail mix and 3/8 of her supply to make cookies. Together, this amounts to a total of five pounds of raisins used.
We set up the equation to represent the total amount of raisins used:
1/4 R + 3/8 R = 5
We need to find a common denominator to combine the fractions. Here, the common denominator is 8:
(2/8) R + (3/8) R = 5
Combining the fractions gives:
(5/8) R = 5
To isolate R, we multiply both sides of the equation by the reciprocal of 5/8, which is 8/5:
R = 5 * 8/5
When we simplify, we get:
R = 8
So, Morgan's total supply of raisins is 8 pounds.
Hey can you please help me posted picture of question
Answers
Probability based on experiments or observation made in given scenario is known as experimental probability.
So, the answer is option A
if the customer's order came to $6.22 and he gave you $20.25 what is his change