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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Consider the proof. Given: Segment AB is parallel to line DE. Prove: AD/DC = BE/EC What is the missing statement in Step 5? A.) AC = BC B.) AC/DC = BC/EC C.) AD...
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us
What is the dividend yield on Stock A that sells at
15 $/share, when Company A pays a quarterly
dividend of $0.15 per share?
dividend yield = [?] %
Give your answer as a percent rounded to the
nearest tenth.
Fnter
Answer:4
Step-by-step explanation: $0.15 x 4 = 0.6
0.60 divide by 0.15
= 4.
$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.
Answer:
(136.60 - 61.60) / 30 = 2.5 hours
Step-by-step explanation:
First, subtract the cost of parts from the total: 136.60 - 61.60 = 75
Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5
at a basketball game a vendor sold a combined total of 116 sodas and hotdogs. The number of hotdogs sold were 36 less than the number of sodas sold find the number of sodas sold and the number of hotdogs sold.
Answer: 76 Sodas and 40 hot dogs
Step-by-step explanation:
Let S and H represent the numbers of Sodas and Hot dogs.
We are told that:
S + H = 116
We also see that:
H = S - 36
==
Take the second equation's value for H (S - 36) and use it in the first:
S + H = 116
S + (S-36) = 116
2S = 152
S = 76
and therefore H = S - 36, or 40.
76 + 40 = 116 [Checks]
76 Sodas and 40 hot dogs
What is 16 1/2 as an improper fraction.
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1
Step-by-step explanation:
a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,no solution as √x is a positive value
c. √x+1=0 ⇒ √x = - 1,no solution as √x is a positive value
d. √x = 0.1 ⇒ x = 0.1² ⇒ x = 0.01#1
√x-3=0x-3=0x=3If square root is over x only x=3²=9
#2
No solutions as -10 is <0
#3
√x+1=0x+1=0x=-1If root is over x only then no solutions
#4
√x=0.1
x=0.01
Mika is making a beaded necklace. Each bead is a14inch cube.If the necklace is 18 inches long, how many beads will Mika need?
Answer: The answer is 4
Step-by-step explanation: 2 ( g + 5 ) − 2 ( g + 3 ) = 2 ( g + 5 ) − 2 ( g + 3 )
= 2g + 10 - 2g - 6
= 2g -2g + 10 - 6
= 0 + 4
= 4
Hope this helps!
Please help ( WILL MARK BRAINLIEST)
Answer:
The bottom right
*you won't see it yourself that the answer is correct because you are working on and iReady test friend*
Step-by-step explanation:
If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.
Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.
Answer:
m + s = 352m + 5s = 100Step-by-step explanation:
There are a total of 35 questions on a test:
m + s = 35Points from multiple choice answers = 2m
Points from short answers = 5s
There are a total of 100 points on the test:
2m + 5s = 100The condition is
There are total 35pens to buy.[tex]\\ \sf\longmapsto m+s=35[/tex]
Each pen costs 2$Each pencil costs 5$You have 100$[tex]\\ \sf\longmapsto 2m+5s=100[/tex]
The slope in the linear equation y=12x+5 is _[blank]_.
How to solve for x: 2x-9=5
Answer:
5=2x-9
14=2x
x=7
Hope This Helps!!!
Someone, please help me with this MATH question.
Answer:
A
Step-by-step explanation:
Is the expression 8 x 85 equivalent to (8 X 835? Explain.
pls help I'm dying lol
[tex]8 \times 835 = 6680[/tex]
Answer:
the answer will be 6680
William bought 6 shirts for $119.70. How much did one shirt cost him?
Answer:
19.95
Step-by-step explanation:
i just divvied 119.70 by 19.95
What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).
Answer: C
Step-by-step explanation:
If you add the lengths of the focal radii of an ellipse, what other value will you produce?
Answer: the length of the major axis
Step-by-step found it on Quizlet and got it right on the quiz
If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
What is the major axis of an ellipse?
The major axis of an ellipse is the line segment connecting the two vertices.
Since, the sum of focal distances of a point on ellipse is constant.
And it is equals to the length of major axis.
Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.
Learn more about major axis of an ellipse here:
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#SPJ2
Please help I need to show my work
El perimetro de un rectangulo mide 166 cm . Si su base mide 58 cm ¿cuanto mide su altura y cual es su area
solución:
A=1450cm²
~~~~~~~~~~~~~
-8 less than a number is no more than 12
Answer:
-8 < x ≤ 12
Step-by-step
-8 less than a number would give you
-8 <
a number no more than 12 would give you
x ≤ 12
giving x because we dont know what the number is-
so your full anser would be-
-8 < x ≤ 12
Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
Answer:
B: BC ≅EC
Step-by-step explanation:
You know that the two angles starting in C are congruent (they're opposite by vertex C).
Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B
what is 1.70 times 8.5
Please show your graph if you’re in K12, no confusing graphs please. graph the line for y + 1= - 3/5 (x-4)
Answer:
Graph Below:
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
ABC is a straight line.
The length AB is five times the length BC .
AC =90 cm.
Work out the length AB .
(3 marks)
Answer:
75 cmStep-by-step explanation:
According to segment addition postulate we have:
AC = AB + BCWe are given:
AB = 5 BCThen substitute values into the first equation:
AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cmFind the length of AB:
AB = 5*15 cm = 75 cmSolve for g.
19 = 3g + 4
g =
Answer:
ANS is g=5
step 1: 3g=19-4
step2: or,3g=15
step 3: or,g=15%3
step 4: or,g=5
Hope it helps.
Can you give me BRAINLIEST ANSWER
THANK YOU
What is the vertex and p-value of this parabola?
Answer:
vertex: (-7, 5)p = 2Step-by-step explanation:
The vertex is halfway between the focus and the directrix:
((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates
The value of p is the distance from the focus to the vertex:
7 -5 = 2 = p
In vertex form, the equation of the parabola is ...
y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)
y = 1/8(x +7)^2 +5
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
Mrs. Collado is buying a
refrigerator that sells for $590.
After a 10% discount is taken,
6% sales tax is added to the
price. A $50 delivery charge is
added on after the tax is computed. What will be the final cost of the refrigerator?
9514 1404 393
Answer:
$612.86
Step-by-step explanation:
The discount multiplies the price by (1 -10%) = 0.90.
The tax multiplies the price by (1 +6%) = 1.06
Then the total price with delivery charge is ...
$590×0.90×1.06 +50 = $612.86
Answer:
612.86
Step-by-step explanation:
10% is 59 590-59=531
562.86 after tax
612.86 after delivery charge
solve pls brainliest
Step-by-step explanation:
first you need m and m is -15/5 that means -3
your function is mx =y so your function is -3x= y
help ? yes ? no ? maybe ?
Answer:
They are proportional
Step-by-step explanation:
Proportionality:
They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.
Graphing:
Go to the 2 on the x-axis (horizontal line)
Go up to the 20 on the y-axis (vertical line)
The points to graph are:
(2,20)
(4,30)
(6,40)
(8,50)
I put a pic of what your graph should look like below!
Answer:
To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.
Step-by-step explanation: