The congruency rules is as follows;
4)a) The triangles are congruent by SSS Congruency Postulate
b) Triangle PQR is congruent to Triangle PQS
5a) The triangles are not congruent
b) Triangle VWZ is not congruent to Triangle YXZ
6a) The triangles are congruent by SAS Congruency Postulate
b) ΔACB is congruent to ΔDBC by SAS Congruency Postulate
7) The triangles are not congruent
b) ΔKLJ is not congruent to ΔMNL
How to Identify Congruent Triangles?There are different congruency postulates or theorems as it pertains to congruent triangles and they are;
AAS theorem which denotes Angle-Angle-Side Theorem
HL theorem which denotes Hypotenuse-Leg Theorem
SSS Postulate which denotes Side-Side-Side Postulate
ASA postulate which denotes Angle-Side-Angle Postulate
SAS Postulate which denotes Side-Angle-Side Postulate
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. However, the third side is also congruent by reflexive property of congruency and as such we now have three sides congruent by SSS Congruency Postulate.
5) We can see that we are given two sides of one triangle that are congruent to two sides of another triangle. Now, the angle where the transverse lines intersect is not given but we can see that they are opposite angles by definition of opposite angles. Thus, the triangles are congruent by SSA Congruency Theorem because it has a non-included angle but SSA Congruency is not valid and so this is not congruent.
6) We can see that one side is given to be congruent. However, by reflexive property of congruence, we see that BC is congruent to itself and also the included right angle being congruent to each other. Thus, this is congruent by SAS Congruency postulate.
7) The triangles are not congruent because we are not given any third congruent side nor the angles and we can't use the given data to prove congruency.
Read more about Congruent Triangles at; https://brainly.com/question/1675117
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Hey lol pls help meim rlly bad at math
Answer:
x=24 ,y=156 ,z=24
Step-by-step explanation:
using linear pair 180 degrees
Solve the equation w=cx-h for x.
Answer:
That's your answer. Let me know if you need an explanation.
3c+2d=-24 and 2c+5d= -38
Answer:
c=-4, d=-6
Step-by-step explanation:
Calculate the area of the trapezoid
Answer:
180 in^2
Step-by-step explanation:
area = 5(sq rt 75) x (sq rt 27) - [5(sq rt 75)-5(sq rt 27)] x 3(sq rt 3) x 0.5
area = 180 in^2
1) Find the linear equation from the
graph:
Answer:
y = -1/2 x - 3
Step-by-step explanation:
Use the coordinates from the graph:
(-6, 0) and (0, -3)
Slope m = -3-0/0-(-6)
m = -3/6
m = -1/2
The y-intercept is -3 (point where the line meet the y intercept)
Substitute unto the expression y = mx+c
y = -1/2 x - 3
Hence the required equation is y = -1/2 x - 3
coat is 20% off. If the regular price of the coat is $225, what is the sale price of the coat?
Answer:
$180
Step-by-step explanation:
$225 times .20 = 45 . 225-45=180
Answer:
$180
Step-by-step explanation:
Find 1% of the price.
100% = 225
1% = 225 ÷ 100 = 2.25
100 - 20 = 80% (Percentage of sale price)
80% = 2.25 x 80 = 180
France had 8,306,000 visitors while Australia had 15,976,000 visitors. How many combined visitors did they have?
Answer:
24,282,000 visitors (total)
Step-by-step explanation:
Add these two counts together:
8 306 000
15 976 000
------------------
24 282 000 total number of visitors
Answer:
Add the number of France visitors and Australia visitors and you will get...
Step-by-step explanation:
24,282,000 visitors
HELPPP
Jose starts a savings account with $80. At the end of 6 months, the account had $350. Assuming there is a constant rate, how much did Jose save per month?
Answer:
w
Step-by-step explanation:
Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?
Answer:
45 degrees
Step-by-step explanation:
A straight angle is equal to 180, so subtract 135 from 180
Answer:
45
Step-by-step explanation:
(5x^2-4X + 7) - (4x + 2)
4.I need help this is timed!!
Answer:
c. (-1, -2)
Step-by-step explanation:
The solution is the point of intersection of the lines.
Read that point off the graph.
Start from the point where the x-axis and the y-axis intersect. Go left 1 unit. That is x = -1. Now go down 2 units. That is y = -2. The point that has x-coordinate -1 and y-coordinate -2 is the point (-1, -2). That is the solution.
The point is (-1, -2).
Answer: C. (-1, -2)
655 + (6.3 x 170) + (4.7 x 58) - (4.7 x 18)
Answer:
1914
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
655 + (6.3 × 170) + (4.7 × 58) - (4.7 × 18)
Step 2: Evaluate
(Parenthesis) Multiply: 655 + 1071 + (4.7 × 58) - (4.7 × 18)(Parenthesis) Multiply: 655 + 1071 + 272.6 - (4.7 × 18)(Parenthesis) Multiply: 655 + 1071 + 272.6 - 84.6Add: 1726 + 272.6 - 84.6Add: 1998.6 - 84.6Subtract: 1914Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
I don't know this question. I REALLY NEED HELP!!!
Answer:
If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54
Answer:
54
Step-by-step explanation:
10m + [tex]\frac{n^{2} }{4}[/tex]
First insert the m value and then multiply
10m = 10(5) =50
then the equation becomes 50 + [tex]\frac{n^{2} }{4}[/tex]
Second insert the n value
[tex]\frac{4^{2} }{4}[/tex]
4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes
50+16/4
50+4=54
The product of two numbers is 4 2/9, if one of the number is 38, find the number
Answer:
let x and y be the two number then according to question ,
xy=4 2/9
or, xy= 38/9
if one of the number is 38 then,
38x=38/9
or, x= 1/9 is the correct ans.
help me please this is very important to me for rbainlist and explain
Answer:
Step-by-step explanation:
The probability of getting one even and one odd is the sum of probability of getting even and of getting odd and even. Since there are 3 even or odd on each die out of six numbers you have
P(EO)(3/6)(3/6)=1/4 and P(OE)=(3/6)(3/6)=1/4 so 1/4+1/4= 1/2
or you can find the probability of getting two odds or two evens and subtract that from 1
P(EE)=(3/6)(3/6)=1/4, P(OO)=(3/6)(3/6)=1/4
P(EO)=1-1/4-1/4=1/2
heyy could you help me out with this question I have been stuck in this question??
Answer:
true, false, true that is the answer I belive
Shay wants to buy a bag of honey crisp apples. One bag has a cost of $6.00. If there are 12 apples in each bag, what is the unit price per apple? Show your work. please help ill mark brainliest
Answer:
50 cents per apple
Step-by-step explanation:
to find the unit price you have to divide the total cost by number of apples
6.00÷12=0.5
I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?
Answer:
She has $5
Step-by-step explanation:
Shirley went shopping in a mall. She reached the mall 12.5 minutes later than her usual time. While returning she took 20 minutes more than twice her usual time to reach home. If the usual time she takes to reach the mall is 40 minutes, find the total number of minutes Shirley spent going and coming back from the mall.
Answer:
Total time Shirley spent going and coming back from the mall= 152.5 minutes
Step-by-step explanation:
Usual time it takes to reach mall from home = 40 minutes
New time she took to reach the mall=12.5 minutes later than her usual time
= 40 minutes + 12.5 minutes= 52.5 minutes
New time she took to reach home ( lets assume she followed the same route as coming from home in which she spends 40 minutes) =20 minutes more than twice her usual time to reach home.=20 minutes + 2(40)= 20 minutes + 80 minutes
=100 minutes
Total time going and coming back from the mall =52.5 minutes +100 minutes = 152.5 minutes
Axel owns stock in a company. He purchased the stock In January at a price of $250 a share. From January to February, the stock price decreased by 38% a share. From February to March, the stock price increased by 20% a share. By what percentage did the price of the stock decrease per share from January to March?
Answer:
25.6%
Step-by-step explanation:
Purchase price = $250 / share
Jan - feb : 38% decrease
(100 - 38)% * 250 = $155
February - March : 20% increase
(100 + 20)% * $155
120% * $155 = $186
Percentage decrease from January to March :
[(250 - 186) / 250] * 100%
(64 / 250) * 100%
0.256 * 100%
25.6%
If a country has a GDP of $100 and a population of 10, what is their GDP Per Capita?
Answer:
$10
Step-by-step explanation:
Per capita means per person, so divide the GDP by the number of people.
$100/10 = $10
Write a ratio for the following situation. For every 10 toes, there are 2 feet.
Answer:
5:1
Step-by-step explanation:
10 toes = 2 feet
10:2
Simplify!
5:1
10 - 4 (3-2y) = 8y -5
Answer:
No Solutions
Step-by-step explanation:
10 - 4(3-2y) = 8y - 5
Distribute:
10 - 12 + 8y = 8y - 5
Simplify:
-2 + 8y = 8y - 5
Same to both sides
-2 + 5 = 8y - 8y
3 = 0y
No Solutions
Let me know if you have any questions
Mia ran 10 laps in 6 minutes. Shawna ran 5 laps in 4 minutes.
Which person ran at a faster rate? Use mathematics to justify your answer.
Answer:
mia
Step-by-step explanation:
mia: 10/6 per minute
shawn: 5/4 per minute
common denominator is 12, multiply by 2 and 3
20/12 lap per minute mia
15/12 laps per minute shawn
20 > 15
can someone please help me, i have to turn this in soon.
❄️✨⚡️WILL MARK BRAINLIEST⚡️✨❄️
b. -10 each time
c. The height of the slide/ the height at the top of the slide
d. 6 seconds. when Kirk is on the ground ( 0 feet off the ground), 6 seconds have past. You can see this in the point (6,0)
Find the measure of each angle in the angle pair described.
The measure of one angle is twice the measure of its supplement. What are the measures of the two angles?
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree
brainliest to whoever can answer questions correctly
Answer:
v ~ 32.72
Hope that helps!
Find the values of the variables and the lengths of the sides of this kite.
Answer:
option D
Step-by-step explanation:
option D is the correct answer of this question .
plz mark my answer as brainlist.
hope this will be helpful to you.
Answer:
D
Step-by-step explanation: