Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Answers
Answer:
Correct answer is:
D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation:
We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].
1. Side KH = Side NH
2. [tex]\angle L \cong \angle M[/tex]
From the given figure, we can derive that:
[tex]\angle KHL \cong \angle NHM[/tex]
Property used: Vertically opposite angels made by two lines crossing each other are equal.
So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].
So, we can say that the two triangles are congruent.
[tex]\triangle HLK \cong \triangle HMN[/tex]
The side is not between the two equal angles, so it is AAS congruence.
And Congruent triangles have their corresponding angles equal.
Therefore, option D) is true :
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.
Answer:
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation: I took the test
Related Questions
Which is the graph of fx=2(3)^x
Answers
Answer:
The graph is attached below. Just google it "plot(2(3)^x)"
Maya is building a wooden box with a rectangular base that is 20 in and by 14 in tall. If she wants an open box without a top how much wood will Maya use?
Answers
Area of 5 faces = 280 x 5
= 1400 inches squared worth of wood
||x-5|+2|<=3
please help
Answers
Answer:
x e [-10,-4]
Step-by-step explanation:
||x-5|+2|≤3
|x+5+2|≤3
|x+7|≤3
x+7≤3
x≤-4
x+7≥-3
x≥-10
x e [-10,-4]
which of the following rational functions is graphed below?
Answers
Answer:
B.
Step-by-step explanation:
According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)
so our function should be :
[tex]\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}[/tex]
Kristy ask Lonnie to think add 3 to it multiply the sum by 2 and the subtract 6 let n stand for lonnie starting number which expression represents Lonnie final number?
Answers
Answer:
2(n+3)-6
n=0
Step-by-step explanation:
2(3+n)-6=
Simplifying
2(3 + n) + -6 = 0
(3 * 2 + n * 2) + -6 = 0
(6 + 2n) + -6 = 0
Reorder the terms:
6 + -6 + 2n = 0
Combine like terms: 6 + -6 = 0
0 + 2n = 0
2n = 0
Solving
2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '2'.
n = 0
Simplifying
n = 0
on a piece of paper, graph y=3/4x-3. use the gtaph to find the x intercept of the line
Answers
Answer:
the intercept is 3/4
Step-by-step explanation:
it's the number in front of the x lol
Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4% and a time period of 1.5 years. Show
Answers
Answer:
A = $ 3,283.44
A = P + I where
P (principal) = $ 2,950.00
I (interest) = $ 333.44
Step-by-step explanation:
A = P(1 + r/n)^nt
Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
Solve using function notation please help
Answers
Answer:
x^2+5x+5
Step-by-step explanation:
Answer:
f(x)+g(x) = x^2 + 5x+5
Step-by-step explanation:
f(x) = 4x+5
g(x) = x^2 +x
f(x)+g(x) = 4x+5+ x^2 +x
Combine like terms
f(x)+g(x) = x^2 + 5x+5
3(c+2)=36 what is c=?
Answers
Answer:
3(c + 2) = 36
c + 2 = 12
c = 10
Answer:
10
Step-by-step explanation:
3(c+2)=36
- Use distributive property
3c+6=36
- subtract 6 from both sides
3c=30
- divide by 3
c = 10
True or False? The following is an example of a proportion:
The temperature is 43 degrees at 8 A.M. and 65 degrees at 11 A.M.
True
False
Answers
Answer:
Step-by-step explanation:
what is -7/8- (-5/6) in simplest form
Answers
Answer:
-1 /24
Step-by-step explanation:
-7/8 - (-5/6)
Subtracting a negative is like adding
-7/8 + 5/6
Get a common denominator
-7/8 * 6/6 + 5/6 *8/8
-42/48 + 40/46
-2/48
-1/24
Which is the graph of the linear equation 3x – 4y = –12?
Answers
Answer:
You can graph it using desmos, a free graphing calculator available on your computer, or you can rearrange the equation into a y intercept form, y=mx+b
Step-by-step explanation:
-4y=-12-3x
y=3+(3/4)x
y=(3/4)x+3
Answer:
its graph D
Step-by-step explanation:
got a 100 in the test
can anyone help me and please explain
Answers
The answer is r=2/5b
Manuel's bank charges a $2 internal fee for using an ATM from another bank. Manuel withdraws $60 from an ATM owned by another bank that charges a $3 usage fee. What is the decrease in Manuel's account from this transaction? Enter your answer as a whole number, such as 5.
Answers
2+3+60=65
total is $ 65 ONLY IF U COUNTING THE WITHDRAWL MONEY TOO.
$5 is the answer IF U AINT COUNTING TE WITHDRAWL MONEY
hope this help ya
Answer:$65
Step-by-step explanation: It decreases by $65 because the the fees from his bank and the other bank equal 5 plus the original 60 he was taking out
Evaluate this expression.
3^-2 ANSWER ASAP PLEASE
Answers
Answer:
0.11111111111
Step-by-step explanation:
Answer:
1/9 or 0.1 repeating
Step-by-step explanation:
Start by doing the inverse of the square root of 2 (that is the negative sign)
The inverse of 3^-2 is 1/3^2
Therefore, your answer is 1/9.
Hope this helps!
is a CR grade good or bad?
Answers
Last Monday local mail carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. How many letters did the mail carriers deliver on Monday?
Answers
Answer: 1008 letters
Step-by-step explanation:
From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:
= 1 - (1/6 + 1/12)
= 1 - (3/12)
= 9/12 = 3/4
We will now multiply 3/4 by 1344 to get the number of letters delivered.
= 3/4 × 1344
= 1008 letters
Answer:
1008 letters
:):):):):):):)
When making a budget, a recommended goal is to spend 10% on utilities. In reality, household spending depends on economic levels. Households with incomes from $15,000 to $20,000 spend over 11% on utilities. Households with incomes from $50,000 to $70,000 spend 8.2% on utilities, while households with incomes above $150,000 spend only 4.8% on utilities. The McKinneys' annual income is $65,000. How much should they budget annually for utilities? Enter the answer as a whole dollar amount, such as $200.
Answers
Answer:
= $5530
Finds us 8.2%
Step-by-step explanation:
if 8.2 was recommended for utilities then we need to find 8.2% of $65,000
We take 65000 x 0.082 = 5530
Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.
We write it as $5,530 in pen and type in whole amount as $ 5530.
Answer:
$5,330
Step-by-step explanation:
Read this statement:
"The McKinneys' annual income is $65,000."
Now, read this statement:
"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"
Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.
8.2% of $65,000 = 0.082 * $65,000 = $5,330
Martin was given this expression to simplify: 23x + xy – y + 3y + 5 – 20x + 6xy He simplified the expression to: 43x + 7xy −3y What were Martin’s errors? Check all that apply. The combined coefficients of the x terms should be 3x, not 43x. The 7xy should be –7xy. The coefficients of the y terms have been multiplied. When you combine like terms, you add or subtract the coefficients. The constant was left off. The terms xy and 6xy are not like terms because there are two variables.
Answers
Answer:
Step-by-step explanation:
23x + xy - y + 3y + 5 - 20x + 6xy = 23x - 20x + xy + 6xy -y + 3y + 5
= 3x + 7xy + 2y + 5
Errors:1) The combined coefficients of the x terms should be 3x, not 43x
2) The coefficients of the y terms have been multiplied.
3) The constant was left off.
Answer:
1,3,4
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
0.25 seconds
Step-by-step explanation:
First let's expand the function h:
[tex]h = -16(t- 1/4)^2 + 49[/tex]
[tex]h = -16(t^2 - t/2 + 1/16) + 49[/tex]
[tex]h = -16t^2 + 8t - 1 + 49[/tex]
[tex]h = -16t^2 + 8t + 48[/tex]
To find when the marshmallow reaches the maximum height, we can use the formula to find the vertex of the quadratic function, and the x-coordinate of the vertex is when we have the maximum height:
[tex]x_{vertex} = -b/2a[/tex]
In our equation, b = 8 and a = -16, so:
[tex]t_{vertex} = -8 / (-32) = 0.25\ seconds[/tex]
Write as a mixed number 5.06
Answers
Answer:
5[tex]\frac{3}{50}[/tex]
Step-by-step explanation:
0.06 = 6/100 = 3/50
Answer:
5 [tex]\frac{3}{50}[/tex]
Step-by-step explanation:
What is the area of the figure in the picture?
Answers
Answer:
[tex]26.14yd^2[/tex]
Step-by-step explanation:
Triangle
[tex]A=\frac{h_bb}{2} \\=\frac{4*6}{2} \\=12yd^2\\\\A=\frac{1}{2} \pi r^2\\=\frac{1}{2} \pi 3^2\\=14.14yd^2\\\\12+14.14=26.14yd^2[/tex]
Answer:
Step-by-step explanation:
The area of a circle knowing the diameter is 28.2743, now divide between 2: 14,13715
Now the area of the triangle give us: 9.238
9.238 + 14,13715 = 23.37515
The procedure is in the images
App used: CalculateMyFigure
If you draw a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8} A. 2 B. 3 C. 4 D. 5
Answers
Answer:
if you draw a single number tile there are 4 possible outcomes 2, 4, 6, or 8
Step-by-step explanation:
there are 4 number tiles 2, 4, 6, and 8 so there are 4 different possibilities 2, 4, 6, or 8
Answer:
4 possible outcomes
Step-by-step explanation:
please mark me brainliest!
The graph of y= -2x + 10 is:
O A. a point that shows the y-intercept.
O'B. a point that shows one solution to the equation.
O c. a line that shows the set of all solutions to the equation.
O D. a line that shows only one solution to the equation.
SUBMIT
Helppp me plzzzz
Answers
Answer:
A. a point that shows the y-intercept
Step-by-step explanation:
will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?
A'(5, 3) B'(–3, 2)
C'(–2, –2)
A'(5, 3) B'(3, –2)
C'(2, 2)
A'(–5, –3)
B'(3, –2)
C'(–2, –2)
A'(–5, –3) B'(3, –2)
C'(2, 2)
Answers
Answer:
A'(-5, -3) B'(3, -2) C'(2, 2)
Step-by-step explanation:
count the squares up or down to the x axis from each point and then go the same number of squares on the other side
A. 5pi/6
B. 8pi/6
C. 3pi/6
D. 13pi/6
Answers
Answer:
Step-by-step explanation:
which of the following is not a possible r-value -0.3 -1.6 0.8 0.3
Answers
Answer: -1.6 is not a possible r-value.
Step-by-step explanation:
R-values range from -1 to +1. Out of all these numbers, -1.6 does not belong. Hence, -1.6 is not a r-value.
Given f(x)=3x - 1 and g(x)=-x + 6 find f(-2) + g(5)
Answers
Answer:
Step-by-step explanation:
f(-2)= 3(-2) - 1 = -6 - 1 = -7
g(5)= -5 + 6 = 1
-7 + 1 = -6
Please help! I have not seen a correct answer yet :(
A standard six-sided die is rolled 6 times. You are told that among the rolls, there was one 1, two 2's, and three 3's. How many possible sequences of rolls could there have been? (For example, 3,2,3,1,3,2 is one possible sequence.)
Answers
Answer:
60 possible sequences.
Step-by-step explanation:
That would be 6! / 3! 2!
6*5*4*3*2*1
= ------------------
3*2*1*2*1
= 5*4*3
= 60.
6. Describe the graph of the function.
y=5 • 2*
A The graph is an absolute value function with vertex (0,5).
B The graph is of exponential growth.
C The graph is of exponential decay.
D The graph is a parabola with vertex (0,5).
Answers
the correct answer is. It is an exponential equation, that is starting at 5 and increasing by a factor of 2.
