From the given figure ,
RECA is a quadrilateral
RC divides it into two parts
From the triangles , ∆REC and ∆RAC
RE = RA (Given)
angle CRE = angle CRA (Given)
RC = RC (Common side)
Therefore, ∆REC is Congruent to ∆RAC
∆REC =~ ∆RAC by SAS Property
⇛CE = CA (Congruent parts in a congruent triangles)
Hence , Proved
Additional comment:-
SAS property:-
"The two sides and included angle of one triangle are equal to the two sides and included angle then the two triangles are Congruent and this property is called SAS Property (Side -Angle-Side)
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Four friends are creating posters for their presentations, which will be delivered in different locations. Which person should create the largest posters
Answer:
Lindsey, who is delivering her speech in a large auditorium
Step-by-step explanation:
Jin, who is delivering her speech to a small group sitting around a table
Lindsey, who is delivering her speech in a large auditorium
Luke, who is delivering his speech in a typical classroom
Jordan, who is delivering his speech in a small meeting room
How many solutions does this equation have. 3x + 99 = 3 (x + 33)
Answer:
Infinitely many solutions
Step-by-step explanation:
3x + 99 = 3 (x+33)
distribute 3 to x and 33
3 * x = 3x
3 * 33 = 99
3x + 99 = 3x + 99
If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions
what is the best guess the weight of the cube if the length in 9 inches ?
Find the measure of angle A.
4x
135°
5x
A
[tex]4 \times + 5 \times + 135 = 180[/tex]
We can solve for X:[tex]9 \times + 135 = 180 \\ 9 \times = 45 \\ \times = 45[/tex]
Multiply this value of x to 4 and 5 to get the other two angels.Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn $48.
Answer:
48 = 6h
48 = 6 x 8
48 = 48
Step-by-step explanation:
Let e equal her earning and h equal the amount of hours worked. You would divide 48 by 6 to find that she works 8 hours.
answer please i’m currently crying
Answer:
rotation around the origin 90 degrees ccw
Step-by-step explanation:
Theo leased a corvette for his wedding. The total cost (C) was $777. Find out how many hours the corvette was leased using the equation: C = 10h + 75
I MIGHT GIVE BRAINLY PLS HELP 100 POINTS
Answer:
70.2
Step-by-step explanation:
777 = 10h + 75
=> 702 = 10h
=> h = 70.2
Therefore, it took 70.2 hours to lease the corvette.
Hoped this helped.
Why rectangular coordinates are better than polar.
Answer:
Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.
-14 + -8/9 is equivalent to?
help need it done for tomorrow
Step-by-step explanation:
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite to the angles.
so,
14/sin(80) = x/sin(60)
x = 14×sin(60)/sin(80) ≈ 12.3cm
Which function has the greater maximum value: f(x) = -3x + 6x+4, or g(x),
the function in the graph?
у
5
g(x)
х
O A. The functions have the same maximum value.
B. g(x)
O C. f(x)
Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330
Answer:
roughly 58
Step-by-step explanation:
the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:
429+38=467
467÷8=58.375 (round up)
Answer:
about 59 weeks
Step-by-step explanation:
30 points and brainliest answer asap pls
Answer:
ed - 7e = 4d + 3
ed - 4d = 3 + 7e
d( e - 4) = 3 + 7e
d = (3 + 7e)/( e - 4 )
Urgent! Someone please answer! Will give Brainliest!
4 cm
x cm
The area of rectangle ABCD is 28 cm2
B
B
a) What is the length of side AB in terms of x?
6 cm
length of AB =
(1)
x cm
D
с
b) If the area of rectangle ABCD is 28 cm,
we can show that x2 + ax = b where
a and b are integer values.
Work out the values of a and b.
b
a =
(1)
b=
(1)
Total marks: 3
Step-by-step explanation:
it is the most easiest answer we get 566474 I think this will help you
Find the 8th term of the G.P 9,3,1,
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
Read the scenario. 1. The temperature at 6 A.M. was -5°F. By noon the temperature had risen by 5°F. What was the temperature at noon? Represent these values with integers and model them on a number line. + + + 0 1 2 3 4 5 6 7 8 9 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 Read the scenario. 2. A diver was 8 feet below sea level. The diver swam back up 8 feet. What is the location of the diver? Represent these values with integers and model them using integer tiles.
Answer:
mm
Step-by-step explanation:
Math may be hard but you gotta learn to get smarter
Mr. Lee's plant is 5 1/2 inches tall. It is 1 7/10 inches taller than Sally's plant.
How tall is Sally's plant?
Enter your answer as a simplified mixed number by filling in the boxes.
please answer!!! i need to get a A on this unit test
The height of Sally's plant in mixed fraction form will be equal to 3 4/5 inches.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
Height of Lee's plant = 5 1/2 = 11/2
Let the height of Sally's plant be x.
Lee's plant is 1 7/10 taller than Sally's plant.
Then, the height of Sally's plant will be,
x = 11/2 - 17/10
Take LCM as 10
x = (55 - 17)/10
x = 38/10 = 19/5 inches
It can be written in the mixed fraction form as 3 4/5.
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I hate math sm I can’t understand any of this even though its probably so simply
PLEASE HELP!!!! Prove and state whether the functions below are inverse functions.
Answer:
Step-by-step explanation:
y = 5x - 2
5x = y + 2
x = [tex]\frac{y}{5}[/tex] + [tex]\frac{2}{5}[/tex]
y = [tex]\frac{x}{5}[/tex] + [tex]\frac{2}{5}[/tex] is inverse function of y = 5x - 2
5x - 2 and [tex]\frac{1}{5}[/tex] x + 2 are not inverse functions
if r*s= sr then 3*2=
Using the comparison given in the question, the value of 3*2 = 23
From the question given :
We can set up a comparison thus :
r*s = srHere,
3*2
r = 3 ; s = 2 r = first value in the expression s = second value in the expressionr*s = sr
Then
3*2 = 23
Therefore, the value of 3*2 = 23
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Mary's allowance is based on the amount of time that she spends practicing different activities each week. This week Mary spent 12 hours practicing and earned $12.00.
Part A: Mary's time spent on activities is as follows: 1/5 practicing flute, 1/6 practicing Spanish, 1/2 playing soccer, and 2/15 practicing math. Write an equivalent decimal for the amount of time that she spent on each activity. If necessary, round to the nearest hundredth.
Answer:
Math: 1h 36 min
Flute: 2h 24 min
Soccer: 6h
Spanish: 2h
C+3/8=1 1/3
(3/8 Is a fraction, and so is 1/ 13)
(Solve for C)
Answer:
see below
Step-by-step explanation:
c+9/24=32/24 so c=23/24
Answer:
C = 23/24
Step-by-step explanation:
Step 1: Convert 1 1/3 to an improper fraction.
[tex]C + \frac{3}{8} = 1 \frac{1}{3}[/tex] [tex]C + \frac{3}{8} = \frac{4}{3}[/tex]Step 2: Change the denominator of 3/8 and 4/3 to a common denominator: 24.
[tex]C + \frac{9}{24} = \frac{32}{24}[/tex]Step 3: Subtract 9/24 from both sides.
[tex]C + \frac{9}{24}-\frac{9}{24}=\frac{32}{24} - \frac{9}{24}[/tex] [tex]C = \frac{23}{24}[/tex]Therefore, C = 23/24.
Solve this equation by elimination method...
2x+7y=-17
3x+10y=-24
Please show work
I will give Brainliest :)
Answer:
x=2,y=-3
Step-by-step explanation:
detailed explanation showed in the image above
2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80
Answer: Her total amount is $964.80
1928
Step-by-step explanation:
964+964 once s
i need help! ill give brainliest
Answer:
They are both correct
Step-by-step explanation:
Both options mean the same thing and will give the same answer
How to find if a triangle is obtuse acute or right.
the difference of the square of two consecutive numbers is 19. If one number is 10, what is the other number?
a)12 . b)11 . c)9 . d)8.
If you can answer correctly and explain properly the methods.
I try to mark it as the brainiest.
Answer:
c
Step-by-step explanation:
10^2 - 9^2 = 100 - 81 = 19
on a map, 1 inch equals 25 miles. If two cites are 4 inches apart on the map, how far are they actually apart?
Answer: They are 100 miles apart
Step-by-step explanation:
1 inch = 25 miles
4x25=100
Answer: 100 miles
Step-by-step explanation:
Since we have 25 miles per inch. and there are 4 inches, you would multiply 25 by 4 to get to your answer of 100 miles.
25x4=100
Help homework due soon!!!
Solving a word problem using a system of linear equations:
Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?
The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
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