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
Help :(((((((((( please
Answers
Answer:
the ratio of the circumference of a circle to its diameter
Step-by-step explanation:
please need help I will be MARKING as BRIANILIST. thank you so much.
Answers
12.167(option D)
Solution,
[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]
hope it helps...
Good luck on your assignment....
Answer:C.8.027
Step-by-step
V = s[tex]^{3}[/tex]
The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.
[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]We now plug in s =6
3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]Can anyone help me with these two questions?
Answers
Step-by-step explanation:
Problem 5:
Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.
Problem 6:
Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.
Hope this helped!
let g(x)= -x^2+4x+4. Find g(p). g(p)=_____
Answers
Answer:
g(p)= -p^2+4p+4
Step-by-step explanation:
g(x)= -x^2+4x+4
Replace x with p
g(p)= -p^2+4p+4
The graph below models the height of a remote-control helicopter over 20 seconds during flight.
Time (seconds)
Over which interval does the helicopter have the slowest average rate of change?
1) O to 5 seconds
3) 10 to 15 seconds
2) 5 to 10 seconds
4) 15 to 20 seconds
Answers
Answer:
2) 5 to 10
Step-by-step explanation:
The slowest average rate change will occur when, as time progresses, the height of the helicopter changes very little.
Analyzing the intervals:
In the interval from 0 to 5, the height of the helicopter, according to the graph, changes drastically.
In the interval from 5 to 10 the height hardly changes.
In the interval from 10 to 15 the height changes more than in the previous interval (downward).
And in the interval from 15 to 10 something similar the the previous interval happens, but upwards.
thus, the interval that has the smallest average rate of change is 5 to 10 since there is not much change in the height over this interval of time (compared to the other intervals).
z2 (z squared) when z = 0.7 help us out
Answers
Answer:
0.49
Step-by-step explanation:
0.7^2 is the same as 0.7*0.7. You just have to times them together!
Hope this helps!
The solution is z^2= 0.49.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have.
z^2=z*z
when z = 0.7
z^2= 0.7*0.7
=0.49
0.7^2 is the same as 0.7*0.7.
Hence, the solution is z^2= 0.49.
To learn more on square root click:
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which of the following is the additive identity of 5+2i
Answers
Answer:
Can you take a picture of the question so i could help!
Step-by-step explanation:
Find the area of the following shapes:
Answers
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!
If you pick a number tile from the following set of number tiles, how many possible outcomes are there? {2,4,6,8,10} A. 2 B. 3 C. 4 D. 5
Answers
Answer:
D 5
Step-by-step explanation:
1st outcome: 2
2nd outcome:4
3rd outcome:6
4th outcome:8
5th outcome:10
Answer:
5
Step-by-step explanation:
mark me brainliest :)
A class is made up of 2 boys and 12 girls. Half of the girls wear glasses. A student is selected at random from the class. What is the probability that the student is a girl with glasses
Answers
What is the value of h?
The graph shows the function f(x) = (2.5) was horizontally
translated left by a value of h to get the function g(x) = (2.5)
-2.
0
2
5
Answers
Answer:
Option (1). h = -2
Step-by-step explanation:
This question is incomplete: here is the complete question.
The graph shows the function f(x) = [tex](2.5)^{x}[/tex] was horizontally shifted by a value of h to get the function g(x) = [tex](2.5)^{x-h}[/tex]. What is the value of h ?
From the graph attached,
Point (0, 1) lies on function f(x).
If the graph of function f(x) is shifted h units left horizontally, rule for the translation will be,
f(x + h) → g(x)
For 2 units shift to the left horizontally,
f(x + 2) → g(x)
[tex](2.5)^{x+2}[/tex] = [tex](2.5)^{x-h}[/tex]
By comparing both the sides,
x + 2 = x - h
h = -2
Therefore, Option (1) will be the answer.
Answer:
A -2
Step-by-step explanation:
Using scientific notation, what is the solution to (4.5 * 108) / (1.5 * 105)?
Answers
Explanation: First we want to work out the operations and then set our answer in scientific notation.
We star with the multiplication in the parentheses because of the order of operations and then divide.
Thus, we have 486/157.5.
The answer is 3.085714286.
The general form of scientific notation is c*10^e, where c is a number from 1 to 10.
Since the answer is between 1 and 10 already, we did not need to move a decimal and e in the general formula represents how many times you moved the decimal.
Also, I simply rounded the answer to the hundredths place, which is acceptable to most teachers.
what is the value for Y
Answers
Answer: y = 27 degrees
Step-by-step explanation:
x = 90 degrees (right angle)
90 + 63 = 153
180 - 153 = 27
The ratio of the number of roses to the number of daises in a garden is 4:3. If there are 42 daises in the garden, how many roses are in the garden?
Answers
Answer:
56
Step-by-step explanation:
The 3 part of the ratio represents daisies.
Divide the number of daisies by 3 to find the value of one part of the ratio.
42 ÷ 3 = 14 ← value of 1 part of the ratio, thus
4 parts = 4 × 14 = 56 ← number of roses
1) Function B: x -> /5 -> +1 = y
find the inverse function of Function B
2) find an expression for m in terms of p.
Answers
Answer:
5x-35
Step-by-step explanation:
f(x)=5x+7
y=5x+7
x=5y+7
x-7=5y
5x-35=y
HELP ASAP PLEASE
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Answers
Answer:
Step-by-step explanation:
The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5
yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles
Answer:
yes
Step-by-step explanation:
i tried explaining it in a way that it wouldn't sound like I'm copying the answer above, but really, the answer above is correct and explains it well, refer to the answer above please
The data below shows the scores of 9 students on a history test...
84,99,77,63,76,87,64,99,79
identify the minimum:
identify the median:
identify the maximum:
!!!please help!!!
Answers
maximum: 99
median: 79
hope this helps
Maximum is 99
Median is 79
Which expression gives the length of the transverse axis of the hyperbola
shown below?
Answers
Explanation:
Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.
As definition of hyperbola:
Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.
So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a
x-y=2a
Length of transverse axis is x-y.
hope it helps....
Good luck on your assignment
The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola shown in the picture.
The green line indicates the transverse axis of the hyperbola.
As we know,
The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.
Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.
x-y=2a
The length of the transverse axis = x - y
Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
Learn more about the hyperbola here:
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∠A and ∠B are complementary. Find m∠A and m∠B.
m∠ A (15x + 3)*
m∠ B (5x - 13)*
Answers
[tex]m < a =78 \\ m < b =12\\ solution \\ 15x + 3 + 5x - 13 = 90(sum \: of \: complementary \: angles) \\ or \: 15x + 5x + 3 - 13 = 90 \\ or \: 20x - 10 = 90 \\ or \: 20x = 90 + 10 \\ or \: 20x = 100 \\ or \: x = \frac{100}{20} \\ x = 5 \\ m < a = 15x + 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 15 \times 5+ 3 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78\\ m < b = 5x - 13 \\ \: \: \: \: \: \: \: \: \: \: = 5 \times 50- 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 - 13 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 12\\ hope \: it \: helps[/tex]
Answer:
m∠ A=78°
m∠ B=12°
Step-by-step explanation:
∠A+∠B=90°
15x+3+5x-13=90
20x-10=90
20x=100
x=5
∠A=(15×5+3)°=(75+3)°=78°
∠B=(5×5-13)°=(25-13)°=12°
Simplify the following polynomial expression.
3x(-2x + 7) - 5(x -1) (4x -3)
Answers
The simplest polynomial expression is
-26x^2+56x-15
Answer: -26x^2 + 56x -15
Step-by-step explanation:
3x(-2x + 7) - 5(x -1) (4x -3)
-6x^2 + 21x - (5x + 5)(4x-3)
-6x^2 + 21x -20x^2 +15x + 20x -15
= -26x^2 + 56x -15
The chemicals in my swimming pool use a ratio of 5 tablets of chlorine for every 14 days. Which ratio shows the number of chlorine tablets needed for 42 days? A. 14 to 42 B. 15 to 42 C. 19 to 42 D. 3 to 42
Answers
Answer: B (15 to 42)
Step-by-step explanation:
In order to get from 14 to 42, you must multiply by 3 (42/14 = 3). So to get an equivalent ratio, you must also multiply 5 by 3.
5:14 = 5*3:14*3 = 15:42 (B).
Answer:
15 to 42.-B
Step-by-step explanation:
5 tablets for every 14 days
X3
15 tablets every 42 days
Which equation illustrates the commutative property of addition?
12 + 6 + 15 = 12 + 15 + 6
12 + 6 + 15 = 12 + (6 + 15)
12 + 6 + 15 = 18 + 15
12 + 6 + 15 = 12 + 6 + 15
Answers
Answer:
12 + 6 + 15 = 12 + 15 + 6
Hope this helps :D
please help answer thanks
Answers
plsssss help due todayy!!
Answers
[tex]answer \\ = 44 \ \frac{7}{8} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Determine the equation for the line of best fit to represent the data.
scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero
y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4
Answers
Answer: B
Step-by-step explanation:
Given that the scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero. That is, (0 , 4 ) to ( 7, 0 )
Let's first find the slope M
M = (0 - 4)/( 7 - 0)
M = - 4/7
Since the line of best fit is linear, let adopt general equation of straight line
Y = MX + C
As the line passes through ( 0 , 4 )
Substitutes for Y and X
4 = - 4/7 (0) + C
C = 4
Where C = intercept
The equation for the line of best fit to represent the data will be:
Y = - 4/7 X + 4
Y equals negative two thirds times x plus 4
Answer:
It is B.
Step-by-step explanation:
I took the test... :)
The radius of an orange is 1.5 inches.
What is the volume of the orange?
Use 3.14 for pi.
Enter your answer, as a decimal, in the box.
Answers
Answer:
14.14
Step-by-step explanation:
V=4
3πr3=4
3·π·1.53≈14.13717
-5.8c + 4.2 - 3.1 + 1.40
Answers
Answer:
-3.3
Hope this helps!
Use the set of ordered pairs to determine whether the relation is a function. {(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}.
Answers
Answer:
It is non function
Step-by-step explanation:
because the x values repeated, the input ( x values) produce more than one output.
This is not a function because for a value of x the value of the y comes out to be two.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The set of ordered pairs are as given below.
{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}
The relation to be a function for each value of the x the value of the y should be unique.
This is not a function because for a value of x the value of the y comes out to be two.
More about the function link is given below.
https://brainly.com/question/5245372
Find the length of the segment QS.(Enter the just the value, without any units.)
Answers
Answer:
QS = 15
Step-by-step explanation:
Thales
QS/QT = RS/PT
QS = QT·RS/PT
= 20×12/16
= 240/16
= 15
PLZ HELP ASAP WILL GIVE BRAINLIEST- If the perimeter of the triangle is 91 inches, what is the length of the base? -Picture Below!
Answers
Answer:
Base = 35 inch
Step-by-step explanation:
Given that the triangle is an isosceles triangle;
The length of the two sides is: 12b - 8
The length of the base is: 9b + 8
Perimeter = 91 inches
Required
Calculate the length of the base;
The perimeter of a triangle is gotten by adding the length of the three sides.
So, in this case; we have
[tex]Perimeter = 12b - 8 + 12b - 8 + 9b + 8[/tex]
Collect like terms
[tex]Perimeter = 12b + 12b + 9b - 8 - 8 + 8[/tex]
[tex]Perimeter = 33b - 8[/tex]
Substitute 91 for Perimeter
[tex]91 = 33b - 8[/tex]
Add 8 to both sides
[tex]91 + 8 = 33b - 8 + 8[/tex]
[tex]99 = 33b[/tex]
Divide both sides by 33
[tex]\frac{99}{33} = \frac{33b}{33}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Recall that the base of the triangle is 9b + 8
Base = 9b + 8
Substitute 3 for b
Base = 9(3) + 8
Base = 27 + 8
Base = 35 inch
