Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
What are congruent triangles?Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
We can say that two triangles are congruent using these 5 rules:
1: SSS or the side, side, side rule, that means that we have two triangles with all three sides equal.
2. SAS or side, angle, side states that in the two triangles, two sides and the included angle are equal.
3. ASA or angle, side, angle states that in two triangles, the two angles and the included side are equal.
4. AAS or angle, angle, side states that we have two triangles where two angles and the non-included side are equal.
5. HL or the Hypotenuse Leg rule states that, if the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, then the two triangles are congruent.
Two triangles are said to be congruent if they have the same shape and their corresponding sides are also congruent.
Example:-From the diagram, given that:
AB = DE, BC = EF and ∠B = ∠E
Triangle ABC and triangle DEF are congruent by the SAS Congruence Postulate
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Which of the following best describes a triangle with one right angle and two congruent sides
Answer:
isosceles triangle
Please help me I swear I’ll love you for freaking ever .
Answer:
m∠K = 36°
m∠L = 54°
m∠M = 90°
Step-by-step explanation:
A triangle's angles add up to 180 degrees. We will add together all the angles and set them equal to 180. Then, we will solve for x. Lastly, we will solve for the angle measurements.
-> The little "box" in angle M means that it is equal to 90°
90° + (2x + 42)° + (4x + 12)° = 180°
90° + 42° + 12° + 2x° + 4x°= 180°
144° + 6x°= 180°
6x° = 36°
x = 6°
[m∠K]
4x + 12
4(6) + 12
36°
[m∠L]
2x + 42
2(6) + 42
54°
Answer:
m ∠ K = 36° m ∠ L = 54°m ∠ M = 90°--------------- HappY LearninG <3 ---------
How can you verify using distance that the center of rotation is the origin?
If the distance between the origin and the points on the path of rotation is equal, the origin will be the center of rotation for any system.
What is center of rotation?Center of rotation is the point about which the rotation takes place. this point is equidistant from all points in the path of rotation.
We are asked to verify that the center of rotation is the origin.
In this case, the center of rotation will be equidistant from all the points in the locus of rotation. So, the distance between the origin and any point on the path of rotation will be equal.
Thus, if the distance between the origin and the points on the path of rotation is equal, origin will be the center of rotation for any system.
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Put this equation into slope-
intercept form.
5x – 4y = 12
Which equation represents the transformed function below? on a coordinate plane, a parent function starts at (0, negative 1) and then curves up into quadrant 1 and approaches y = 1. a transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6. _____ = parent function; y = log x - - - - - = transformed function y = log x 5 y = log x minus 5 y = log (x 5) y = log (x minus 5)
The parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
What is transformation of a function?Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.On a coordinate plane, a parent function starts at (0, -1) and then curves up into quadrant 1 and approaches y = 1. Thus, the function of this curve is,
y=logx
A transformed function starts at (0, 4) and then curves up into quadrant 1 and approaches y = 6.
y=logx +5
Thus, the parent function which starts at (0, -1) and then curves up into quadrant 1 is logx and the transformed function which starts at (0, 4) and then curves up into quadrant 1 is logx+5.
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Answer:
yeah its a
Step-by-step explanation:
yw
Hudson was marked wrong on this problem, but why? Explain what error he made and include the correct method for solving this problem.
Vertical angles are congruent. Find the measure of angle x. X 38 o x = = [?]
Answer:
x=38 degrees
Step-by-step explanation:
Vertical angles are congruent. In the image, angle x is vertical to the angle that is given. Therefore, x=38 degrees
Please Help me Its a math problem see image attached
Answer:
C. - 3Step-by-step explanation:
Average rate of change within an interval is the slope of the endpoints.
The endpoints are:
(- 1, 6) and (0, 3)The slope is
(3 - 6)/(0 - (-1)) = - 3/1 = - 3Correct choice is C
Answer: -3
--
To find the Average rate of change within an interval use the slope of the endpoints.
(- 1, 6) and (0, 3)
The slope is
[tex]\frac{3-6}{0-(-1)}=\frac{-3}{1}=-3[/tex]
Hope this helps!
help me solve please!!!!!!!!!
The probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The total number of cards = 52
Total number of cards printed number on it = 36
The probability of drawing a number card and then number card without replacement:
[tex]= \rm \dfrac{36}{52}\times \dfrac{35}{51}[/tex]
= 1260/2652
= 105/221
Thus, the probability of drawing a number card and then number card without replacement is 105/221 option first is correct.
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What are the solutions to the equation x2 − 1 = 399? a. b. c. d.
The given equation is a quadratic equation with a degree of 2 and leading coefficient of 1. The solution to the given quadratic equation are -20 and 20
Solution to the system of equationsThe given equation is a quadratic equation with a degree of 2 and leading coefficient of 1.
Given the expression
x^2 - 1 = 399
Add 1 to both sides
x^2 = 399 + 1
x^2. = 400
Take the square root of both sides
x = ±√400
x = ±20
Hence the solution to the given quadratic equation are -20 and 20
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.18 and the probability that the flight will be delayed is 0.14. The probability that it will not rain and the flight will leave on time is 0.74. What is the probability that the flight would leave on time when it is not raining? Round your answer to the nearest thousandth.
The probability that the flight would leave on time when it is not raining is: 0.522
What is probability?Probability is the likelihood of an event happening or not.
Analysis:
pr( it will rain) = 0.18
Pr( it will not rain) = 1 - 0.18 = 0.82
Pr ( flight will be delayed) = 0.14
Pr( it will not be delayed) = 1 - 0.14 = 0.86
Pr( it will not rain and flight would leave early) = 0.74
Pr( flight leave early when not raining) = pr( it willnot rain) x Pr( it will not be delayed) x Pr( it will not rain and flight leave on time) 0.82 x 0.86 x 0.74 = 0.522
In conclusion, the probability that flight would leave on time when it is not raining is 0.522
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Please help with question with explanations. Ty.
Answer:
last option is correct answer
Step-by-step explanation:
[tex]perimeter = 2(l + w) \\ = 2( \frac{5x + 10}{2x + 5} + \frac{x - 2}{2x + 5} ) \\ = 2( \frac{5x + 10 + x - 2}{2x + 5} ) \\ = 2( \frac{6x + 8}{2x + 5} ) \\ = \frac{12x + 16}{2x + 16} [/tex]
Subtract 4 6/13 from 11
Answer:
Step-by-step explanation:
To simplify this, let us convert both into 13th.
Now the question is:
Subtract 58/13 from 143/13
143/13 subtract 58/13 is 85/13
As a mixed number, 85/13 is 6 7/13
Here is the solution message if you need more help
Hope this helps. :)
How many days were less than 84°?
Answer:
it has to be 7 days because the other degrees are higher than 84.
Step-by-step explanation:
80 - 82 = 7 days
What two operations would you use to solve the equation b/2+5=-7
-multiplication
-addition
-subtraction
-division
the lenght of a rectangle is x+5 and it,s breath is x-5the areas of a rectangle is is x raise to the power of 2-x-15 is it true or false?
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
Find the volume of the solid :)
answer key
78.4
Step-by-step explanation:
Multiply 7 x 4 =28
Then Multiply 28 x 2.8 = 78.4
That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞ hope that helps out
a. Does the height of the water increase by the same
amount each minute? Explain how you know.
minutes
height
0
150
SO
1
150.5
2
151
b. Does the height of the water increase by the same
factor each minute? Explain how you know.
3
151.5
From the table we can conclude that after 2 minutes the height of the water is increased by 4.
Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)
This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.
The following statement best describes how the slope relates to the height of the water in the pool:
The height of the water increases 2 inches per minute.
Which is the best peer evaluation of the conclusion? the details and mechanics are good, but sentences 2 and 3 should be reorganized to include logical transitions. the word choice and style are good, but there are punctuation and organizational errors in sentences 1 and 2. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone. the tone and style are good, but errors in grammar, spelling, and punctuation in sentences 1, 2, and 3 should be fixed.
The best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.
What is the best peer evaluation?The best peer evaluation is a critical review that critiques and provides feedback to other students on their academic work.
The purpose of a peer evaluation is to develop students' lifelong skills in assessing and providing feedback to others.
Peer evaluation also equips students with self-assessment skills to improve their own work.
Thus, the best peer evaluation is C. the mechanics and organization are good, but sentences 1 and 3 should be edited to achieve a formal style and objective tone.
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Viktoria knows that it is impossible to remove a red marble from her bag that has no red marbles in it. if she reaches into the bag and pulls out a marble without looking, what is the probability that the marble will be red? 0 startfraction 1 over 11 endfraction three-fourths 1
Because there are no red marbles on the bag, we will see that the probability is zero.
How to find the probability?We want to find the probability that the marble will be red. Viktoria knows that her bag has no red marbles, then it is impossible to get a red marble.
The probability of an impossible event is 0 (suppose that there are 10 marbles in the bag, we have a probability of 0 out of 10 of getting a red marble).
Then we can write the probability as P = 0.
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Answer: 0 enjoy
Step-by-step explanation:
PLEASE HELP!!! 31 POINTS
What is the volume of this rectangular prism?
26 cubic feet
35 cubic feet
50 cubic feet
105 cubic feet
Work Shown:
Volume = length*width*height
Volume = 3*7*5
Volume = 105 cubic feet
length × breadth × height
7 × 3 × 5
105 cubic feet
hope it helps...!!!
the dustance between -100 and 0
Answer:
100
Step-by-step explanation:
-100 is always going to be 100 units away from 0 no mater what
The side lengths of the equilateral triangle pictured are each 12 cm. What is the circumference of the larger circle? Round your answer to the nearest 100th.
PLEASE HELP NEED THE ANSWER IMMEDIATELY!
[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Volume of a rectangular prism is ~
[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]
So, the correct choice is B
Why is 10^15/10^4 equal to 10^11
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression 10¹⁵/10⁴ equals 10¹¹.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression 10¹⁵/10⁴ can be simplified as,
[tex]\dfrac{10^{15}}{10^4}\\\\= 10^{15} \cdot 10^{-4}\\\\= 10^{15-4}\\\\=10^{11}[/tex]
Hence, the value of the expression 10¹⁵/10⁴ equals 10¹¹.
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help ASAP my son needs help with this problem..help
Answer: Skelatal and respiratory because bones show up all over the human body.
Step-by-step explanation:
Answer:
C. Nervous system / Circulatory system
A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite
Answer:
1.89 inch²
Explanation:
[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]
Here given:
diagonal 1: 2.7 inchdiagonal 2: 1.4 inchFind the Area:
[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]
Please help BRAINLIEST FOR RIGHT ANSWER
Answer:
x = 17
Step-by-step explanation:
4x + 7 = 75 (as the 2 angles are interior alternate angles)
4x = 75 - 7 = 68
x = 68/4 = 17
Answer:
x = 17
Step-by-step explanation:
4x + 7 = 75 (as the 2 angles are interior alternate angles)
4x = 75 - 7 = 68
x = 68/4 = 17
It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
Answer
18 hours
Step-by-step explanation:
if 10 people spend 15 hours
one person spend 15/10=1.5
so 1.5 × 12=18hours
Describe the transformation of the function f(x)=2|x+3| from its parent function. WHOEVER HELPS ME I WILL MARK BRAINLEST :)
Parent function is general modulus function
y=|x|Now
x is increased by +3 so change in x axis and vertex.
The vertex shifted 3 units leftwards .
And it's multiplied with 2Means compression factor is 2
Both graphs attached
Answer:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
Parent function: [tex]f(x) = |x|[/tex]
Translated 3 units left: [tex]f(x+3)=|x+3|[/tex]
Stretched parallel to the y-axis by a factor of 2: [tex]2f(x+3)=2|x+3|[/tex]
Therefore, the function has been:
Translated 3 units leftStretched parallel to the y-axis (vertically) by a scale factor of 2Attachments
Green graph - parent function [tex]f(x) = |x|[/tex]
Red graph - Translated 3 units left [tex]f(x)=|x+3|[/tex]
Blue graph - Stretched [tex]f(x)=2|x+3|[/tex]