If triangle JKL s congruent to triangle RST which congruences are true by CPCTC
Answers
the true statements by CPCTC are options A, B, and C. [tex]\( \overline{KL} \cong \overline{ST} \)[/tex] ,[tex]\( \overline{JK} \cong \overline{RS} \)[/tex], [tex]\( \angle K \cong \angle S \)[/tex].
CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It means that if two triangles are congruent, then their corresponding parts are also congruent.
Given that △ JKL ≌ △ RST, let's examine each option:
A. [tex]\( \overline{KL} \cong \overline{ST} \)[/tex] - True by CPCTC, corresponding sides of congruent triangles are congruent.
B. [tex]\( \overline{JK} \cong \overline{RS} \)[/tex] - True by CPCTC, corresponding sides of congruent triangles are congruent.
C. [tex]\( \angle K \cong \angle S \)[/tex] - True by CPCTC, corresponding angles of congruent triangles are congruent.
D. [tex]\( \angle L \cong \angle R \)[/tex] - This statement cannot be determined solely from the fact that △ JKL ≌ △ RST. The corresponding angles may or may not be congruent, depending on the specific congruent triangles.
E. [tex]\( \overline{JL} \cong \overline{RS} \)[/tex] - This statement cannot be determined solely from the fact that △ JKL ≌ △ RST. The corresponding sides may or may not be congruent, depending on the specific congruent triangles.
F. [tex]\( \angle J \cong \angle S \)[/tex] - This statement cannot be determined solely from the fact that △ JKL ≌ △ RST. The corresponding angles may or may not be congruent, depending on the specific congruent triangles.
Therefore, the true statements by CPCTC are options A, B, and C.
The complete question is:
If △ JKL≌ △ RST, which congruences are true by CPCTC? Check all that apply.
A. [tex]\( \overline{KL} \cong \overline{ST} \)[/tex]
B. [tex]\( \overline{JK} \cong \overline{RS} \)[/tex]
C. ∠ K≌ ∠ S
D. ∠ L≌ ∠ R
E. [tex]\( \overline{JL} \cong \overline{RS} \)[/tex]
F. ∠ J≌ ∠ S
Related Questions
30,840 in expanded form?
Answers
the 8 is 800
the 4 is 40.
hope this helps. (also hope Im right.)
Find (2.2 x 10^7)(5 x 10^8)/(2.5 x 10^3)(8.8 x 10^5) expressed in scientific notation.
Answers
Cheri took out a loan for $14,350. The loan term was 3 years and Cheri’s payments were $625.77 per month. Since Cheri had filed for bankruptcy several years prior, she ended up paying a higher interest rate. With a better credit rating, her payments could have been $431.21 per month. How much more in interest did Cheri end up paying for her loan because of her bankruptcy? a. $5,836.80 b. $2,334.72 c. $8,624.16 d. $7,004.16
Answers
Total payments of 625.77
625.77×12months×3 years
=22,527.72
Interest paid
22,527.72−14,350
=8,177.72
Total payments of 431.21
431.21×12months×3 years
=15,523.56
Interest paid
15,523.56−14,350
=1,173.56
So how much more in interest did Cheri end up paying for her loan because of her bankruptcy
8,177.72−1,173.56
=7,004.16...answer
Hope it helps!
W = 3x + 7y solve for y
Answers
Answer:
The value of the equation [tex]y=\frac{W-3x}{7}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]W = 3x + 7y[/tex]
We need to solve the provided equation for y.
Subtract 3x from both side.
[tex]W-3x= 3x-3x+ 7y[/tex]
[tex]W-3x=7y[/tex]
Divide both sides by 7.
[tex]\frac{7y}{7}=\frac{W-3x}{7}[/tex]
[tex]y=\frac{W-3x}{7}[/tex]
Hence, the value of the equation is [tex]y=\frac{W-3x}{7}[/tex].
To solve the equation W = 3x + 7y for y, subtract 3x from both sides and then divide by 7 to isolate y, resulting in the solution y = (W - 3x) / 7.
To solve for y in the equation W = 3x + 7y, we need to isolate y. First, we subtract 3x from both sides of the equation so that the terms with y are on one side:
W - 3x = 3x + 7y - 3x
This simplifies to:
W - 3x = 7y
Next, we divide both sides of the equation by 7 to solve for y:
(W - 3x) / 7 = y
Therefore, the solution for y in terms of W and x is y = (W - 3x) / 7.
Divide 6⁄13 by 6⁄12 .
A. 1⁄12
B. 9⁄16
C. 12⁄13
D. 13⁄12
Answers
6/13÷6/12=12/13 so C.
Hope this helps!
I got the answer by using my graphing calculator, hope I helped! :0)
Which number is a solution of the inequality 7x-5>-2? ( by the way that sign is supposed to be a less than or equal to)
A.-3
B.-1
C.0
D.1
Answers
Final answer:
The correct answer to the inequality 7x - 5 ≥ -2 is D. 1, since 1 is greater than 3/7 and thus satisfies the inequality.
Explanation:
To solve the inequality 7x - 5 ≥ -2, we need to isolate x. Follow these steps:
Add 5 to both sides of the inequality to cancel out the -5 on the left: 7x ≥ 3.
Divide both sides by 7 to solve for x: x ≥ 3/7.
Now we need to determine which of the provided options is a solution to the inequality. We have:
A. -3 (which is less than 3/7)
B. -1 (which is also less than 3/7)
C. 0 (which is again, less than 3/7)
D. 1 (which is greater than 3/7, making it a solution to the inequality)
The correct answer is D. 1 because it satisfies the given inequality.
Find the side length of a square with the given area. 121in(2 Exponent)
A.) 11 Inches.
B.) 60.5 Inches.
C.) 1,331 Inches.
D.) 14,641 Inches.
Answers
Answer:
A.) 11 inches
Step-by-step explanation:
There's a couple of ways to do this. If you know how to take a square root, use this way: [tex]\sqrt{121}[/tex] is equal to [tex]\sqrt{11*11}[/tex]. So that would mean that [tex]\sqrt{121} = \sqrt{11^{2} }[/tex]. Canceling it out (the square root of a square equals the original base), it equals 11. So the side length would be 11 inches.
Remember, we know the AREA and need to find the side length, so this is why we don't square 121 to get 14,641. 121 is the area and not the side length.
Hope this helps.
Write the ratio 4/12 as a decimal.
Answers
The ratio 4/12 converts to a decimal by dividing 4 by 12, resulting in 0.333 when rounded to the nearest thousandth.
To write the ratio 4/12 as a decimal, you simply divide the numerator (4) by the denominator (12). Let's do this step-by-step:
Divide 4 by 12, which equals 0.3333...
Since the division results in a repeating decimal, round it to the nearest thousandth for simplicity, which gives us 0.333.
The ratio 4/12 as a decimal is 0.333.
The top number (numerator) is what you're dividing, and the bottom number (denominator) is what you're dividing by.
In our case, 4 divided by 12.
Sanjay begins to correctly graph the function f(x) = (x + 1)2 – 3. Based on the axis of symmetry and the vertex, which graph could be Sanjay’s?
Answers
What number can you add to π to get a rational number?
PLEASE HELP thank you :P
Answers
Solution:
As we know π is an irrational number.The value of π is non terminating non repeating.
As we all know , π =[tex]\frac{\text{Circumference of circle}}{\text{Diameter}}[/tex],
The fact is still we are getting an irrational number.
As , 0 is a rational number.
So, The number which when added to π, to get a rational number is (-π).
Answer → π + (-π) = 0, i.e (-π) is that number.
The high temperature on Tuesday was 5 degrees warmer than the high temperature on Monday. If the high temperature on Monday was -12F, what was the high temperature on Tuesday?
Answers
please show hw you got your answer, and please show which one is the correct one. (coupon A or coupon B).
please tell why it is correct and please show how you got your answer.
Thank You!
Good luck!
Answers
Coupon B: 35% off of a $59 printer
With coupon A, the final price is 59-18 = 41 dollars
With coupon B, the final price is 59-0.35*59 = 38.35 dollars
So coupon B offers the lower price. The price difference between the coupon options is $2.65 (41-38.35 = 2.65); meaning that coupon B is the better option by $2.65
order the following sets from least to greatest {1/8, -0.025, 0.2, -1/7}
Answers
hope this helps
math question down below
Answers
(-4 - 6 - 3 - 1 + 0 + 2 - 1 - 3)/ 8
(-16)/8 = -2
-2 is your average
hope this helps
-16/8 = -2
answer
-2 in
The circle graph below shows that of the 440 students at Washington Middle School 40% are in grade 8 what is the total number of students in grade 8 Class
Answers
Multiply: 2m4(5m3 + 4m − 1)
A. 11m8
B. 10m7 + 8m5 − 2m4
C. 10m12 + 8m4
D. 10m7 + 8m4 − 2
Answers
= 10m^7 + 8m^5 - 2m^4
answer
B. 10m^7 + 8m^5 - 2m^4
Answer:
The correct option is B) [tex]10m^{7}+8m^{5}-2m^{4}[/tex]
Step-by-step explanation:
we need to multiply the given expression
Given [tex]2m^{4}(5m^{3}+4m-1)[/tex]
Multiply polynomial term wise,
[tex](2m^{4}\times 5m^{3})+(2m^{4}\times 4m)-2m^{4}[/tex]
[tex]10m^{4+3}+8m^{4+1}-2m^{4}[/tex]
[tex]10m^{7}+8m^{5}-2m^{4}[/tex]
Therefore, the correct option is B) [tex]10m^{7}+8m^{5}-2m^{4}[/tex]
Francis is making cookies. The recipe for chocolate chip cookies calls for 2 2/3 cups of flour, the recipe for peanut butter calls for 2.75 cups,and the recipe for ginger snaps calls for 5/2 cups. If Francis wants to use as little flour as possible, which cookie should he make? Explain your reasoning.
Answers
16 - 2t = 5t + 9
What number does t represent? I'm bored
Answers
t represents an unknown quantity defined by the equation 16 - 2t = 5t + 9.
To find this value, do the following: Add 2t to both sides, and then subtract 9 from both sides. You'll end up with 7t = 7, which yields t = 1.
We call this the "solution" of the equation given.
Answer:
Same
Step-by-step explanation:
I have no explanation
ABC, CBA, and CAB are three three-digit number; that is, three number between 100 and 999. If ABC-CBA= CAB,what are the three digit munbers
Answers
B=5
C=4
954-459=495
What is 175-18×9÷6 Order of operations
Answers
*Parenthesis
*Exponents
*Multiplication
*Division
*Addition
*Subtraction
You do them left to right.
18 * 9 = 162.
162 / 6 = 27
175 - 27 = 148
Hope this helps! ☺♥
Deshawn fuels 2 yachts and 6 barges. Each boat gets 126 gallons of fuel. To find how much fuel he needs for all the boats, deshawn first findsthe number of boats, then he uses an algorithm to multiply. Which are the three partial products deshawn could add to find the final product?
Answers
100 * 8
20 * 8
6 * 8
These are from taking the gallons of fuel for each boat that are needed and breaking it into the place values.
(100*8) + (20* 8) + (6*8) =
800+160+48=
1008 gallons of fuel are needed.
Deshawn, who fuels 2 yachts and 6 barges each with 126 gallons of fuel, can find the total fuel needed by calculating and summing three partial products; 800, 160 and 48, derived from breaking down the multiplication of 8 (total boats) and 126 (gallons per boat). The combined total is 1008 gallons.
Explanation:Deshawn needs to fuel 2 yachts and 6 barges, making a total of 8 boats. Each boat requires 126 gallons of fuel. Deshawn's algorithm for determining the total fuel required involves finding three partial products to multiply.
If we break down the multiplication of 8 (total boats) and 126 (gallons per boat), into three parts we get:
Multiplying 8 by 100 to get 800. Multiplying 8 by 20 (part of the 26 in 126) to get 160. Finally, multiplying 8 by 6 (the units digit in 126) to get 48.
These are the three partial products that Deshawn could add together (800 + 160 +48) to find the total fuel needed which is 1008 gallons.
Learn more about Partial Product Multiplication here:
https://brainly.com/question/30763566
#SPJ11
for fhg find the measure of the smallest angle <hfg if m<ghf equals 92 degrees and m<hgf equals 72 degrees
Answers
The correct answer is:
16°.
Explanation:
The sum of the measures of the angles of a triangle is 180°. The two angles we have are 92° and 72°; together, these total to
92+72 = 164
This leaves us
180-164 = 16° for the remaining angle of the triangle.
To find the measure of the smallest angle
To find the measure of the smallest angle <hfg in triangle FHG, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We are given that m<ghf = 92 degrees and m<hgf = 72 degrees. To find <hfg, subtract the measures of the other two angles from 180: 180 - 92 - 72 = 16 degrees. Therefore, the measure of the smallest angle <hfg is 16 degrees.
Learn more about Finding the measure of angles in a triangle here:https://brainly.com/question/31613708
#SPJ2
Betsy bought 6 bags of rice weighing a total of 30 lb. What is the rate of number of bags to pounds?
1/24
5/30
1/5
6/24
Answers
Hope this helps!
Can u plz mark me as brainliest? I really need it!
Answer:
1/5 is the correct answer :)
Step-by-step explanation:
what is 6-2(x+3)=10-3x
Answers
you get 10 by multiply through parentheses by -2
eliminate the opposites
move the variable to the left collect the like terms
so 4x+12=10-3x from this we can collect like tems by putting the x on one side
4x--3x=7x+12=10
7x=10-12
7x=-2
x=-2/7=0.29
Finn is baking cakes for a party. The number of cups of sugar Finn needs is proportional to the number of cakes he plans to bake. Which statements are true about the number of cups of sugar Finn needs? Select each correct answer.
Answers
Answer: Finn needs 6 cups of sugar for 4 cakes
Finn needs 1 1/2 cups of sugar for 1 cake
Step-by-step explanation:
i took the test
George said if 2 and 4 are factors of the number, then 8 is a factor of the number. Is he correct?
Answers
Which phrase best describes what this graph demonstrates
Answers
The answer IS "A) This graph shows that both chlorophyll a and chlorophyll b absorb some higher energy light as well as some lower energy light"
I will give you all the answer to the test
asnwer Mitochondria
Q] Why do the cells in all living things need energy?
A]To fuel their chemical reactions
Q]What process takes place in chloroplast?
A] photosynthesis
Q}which option is a balanced equation for cellular respiration
A} C6H12O6+6O2->6CO2+6H2O
Guys, this is 40 points! Please help me. I need it.
2. The line segment graphed on the coordinate plane represents a roof with several triangular supports. Each support is triangular, with a horizontal board that starts on the edge of the roof and connects with a vertical board that ends on the edge of the roof as shown.
(a) Does each support have the same starting coordinates? Explain.
(b) Does each support have the same ending coordinates? Explain.
(c) Does each support have the same change in x-values? Explain.
(d) Does each support have the same change in y-values? Explain.
(e) Does each support have the same ratio of change in y-values over change in x-values? Explain.
Answer:
Answers
a) No, the first support starts at (0,0) and the 2nd one starts at (2,1)
b) No, first one ends at (2,1) 2nd one ends at (6,3)
c) No, 2 ( 0 to 2) does not equal 4 ( 2 to 6)
d) No, 1 ( 0 to 1) does not equal 2 (1 to 3)
e) Yes, this is the slope of the diagonal line: 1/2
Answer:
(a) No
(b) No
(c) No
(d) No
(e) Yes
Step-by-step explanation:
(a) No, they don’t. The starting position for the small triangle is (0,0). The starting position for the large triangle is (2,1).
(b) No, they don’t. The ending position for the small triangle is (2,1). The ending position for the large triangle is (6,3).
(c) No, they don't. 2 - 0 doesn't equal 6 - 2.
(d) No, they don't. 1 - 0 does not equal 3 - 1
(e) Yes, they do. 3-1/6-2 = 2/4 = 1/2
which number , when rounded to the nearest hundredth, is equal to 2.39?
Answers
A sphere has a volume of 600 centimeters. What is the radius of the sphere? Please show work
Answers
in this case: 600=(4/3)πr^3 =>r^3=600/[(4/3)π]
use your calculator: r=5.23
*3/4 *3/4
450=πr^3
/π /π
143.23=r^3
•now u need to find the cube root which is..
5.23 cm