Congruent triangles have equal corresponding sides lengths and angles
Another valid congruency statement is Triangle RYQ ≅ Triangle LSJ
How to determine the congruency statementThe congruency statement is given as:
Triangle QRY ≅ Triangle JLS
The above means that triangles QRY and JLS are congruent,
So we have the following congruent points
Points Q and J
Points R and L
Points Y and S
So, another valid congruency statement is Triangle RYQ ≅ Triangle LSJ
Read more about congruent triangles at:
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What is the value of y = 7 - 2x when
X=4?
When x = 4, y =
Factor the expression
12x^2 +7x+1
Answer:
[tex]\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}[/tex]
Step-by-step explanation:
A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,
[tex]\sf\implies p(x)= 12x^2+7x+1[/tex]
And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .
Step 1: Multiply the coefficient of x² with the constant term .
Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .
Step 2: Look out for the possible factors of the number .
Here the obtained number is 12 . So the possible factors of 12 is
1 *12-1*-122*6-2*-64*3-4*-3Step3: Choose the factor whose sum is equal to the coefficient of the middle term .
Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .
Step 4: After proper arrangements take out the common term and then factorise.
After suitable rearrangment we get ,
[tex]\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}[/tex]
A shop sells packs of black pens, packs of red pens and packs of green pens.
There are
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday, the ratio of number of packs of pens sold was Black : Red : Green = 7 : 3 : 4
A total of 212 pens were sold.
Work out the number of green pens sold.
Answer:
The number of green pens sold are 96 green pens
Step-by-step explanation:
The given parameters for the packs of pens sold by the shop are;
The number of pens in each pack of black pens = 2 pens
The number of pens in each pack of red pens = 5 pens
The number of pens in each pack of green pens = 6 pens
The ratio of number of packs of pens sold Black : Red : Green = 7 : 3 : 4
The total number of pens sold = 212
Let 'x' represent the number of packs of pens sold
Therefore, the fraction of the packs the pens sold that are black pens = 7/(7 + 3 + 4) = 7/14 = 1/2
∴ 1/2 of the number of packs of pen sold = packs black pens = x/2
The fraction of the packs the pens sold that are red pens = 3/14
∴ 3/14 of the number of packs of pen sold = packs of red pens = 3·x/14
Similarly, we have;
The fraction of the packs the pens sold that are green pens = 4/14 = 2/7
∴ 2/7 of the number of packs of pen sold = packs of green pens = 2·x/7
Therefore, we have;
x/2 × 2 + 3·x/14 × 5 + 2·x/7 × 6 = 212
Where;
x/2 × 2 = The number of black pens sold
3·x/14 × 5 = The number of red pens sold
2·x/7 × 6 = The number of green pens sold
∴ 53·x/14 = 212
x = 212 × 14/53 = 56
∴ The number of packs of pens sold = x = 56 packs
The number of green pens sold = 2·x/7 × 6 = 2 × 56/7 × 6 = 96
The number of green pens sold = 96 pens.
Find the length of x.
Answer:
5
Step-by-step explanation:
6/4 = 7.5/x
7.5/1.5=5
I need help:(
Find x and y
Please let me know if my answer is right! Thanks!
Help please? :) I need some help !!!!!!!!!
Answer:
i gotchu step sis u need help with them laundry's
Step-by-step explanation:
Answer:
Answer:
answer is 8
Step-by-step explanation:
put the equations equal to each other
then simplify
it is bcz of a angle type of parallel lines
corresponding angle
Step-by-step explanation:
find the difference of (6x^2+3x-5) and (4x^2-2x+3)
Answer:
ummm
Step-by-step explanation:
cz points
The point ( -3, 15 ) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new point?
Answer:
The new coordinates would be (6,5)
Step-by-step explanation:
I'm pretty sure o-O
i will really appreciate it if you guys could help me out .
Answer: he owes him 3 cents
Step-by-step explanation:
Answer:
3$
Step-by-step explanation:
you got to do 8 minus 5.
The triangle represents a scale drawing that was created by using a factor of One-half.
A triangle with sides lengths of 5 inches.
Which is true of the measures of the sides of the original triangle?
Each side of the original triangle is One-half the length of each side of the scale drawing.
Each side of the original triangle is 2 times the length of each side of the scale drawing.
Each side of the original triangle is the same length as each side of the scale drawing.
Each side of the original triangle is 2 inches shorter than the scale drawing.
9514 1404 393
Answer:
(b) Each side of the original triangle is 2 times the length of each side of the scale drawing.
Step-by-step explanation:
If the smaller is 1/2 the larger, then the larger is 2 times the smaller. The original triangle's sides are 2 times those of the scale drawing.
A bag contains 77 coins consisting of quarters and nickels. The total value of the coins is $12.50. Write a system of equations that can be used to determine the number of quarters, x, and the number of nickels, y, in the bag. a x + y = 77 0.25x + 0.5y = 12.5 b 0.25x +0.5 y = 77 x + y = 12.5 c x + y = 77 0.25x + 0.05y = 12.5 d 0.25x + 0.05y =77 x + y = 12.5
Answer:
A
Step-by-step explanation:
because the answer needs both amounts of money and the beginning equation x + y = 77 can't have any other numbers.
what is the slope of a line that contains the points (-6, 1)and (4 negative 4)
Find measure of angle TUV and provide explanation. 25 points and will mark brainliest
Answer:
72°
Step-by-step explanation:
∠TUV = (arc TSV - arc TV) / 2 = ((360-108)-108) / 2 = 144/2 = 72
help me please, i don’t get it loll
Answer:
subtract to find A
Step-by-step explanation:
The laptop was $500
and is now $400. What
is the percent of change?
Answer:
20%
Step-by-step explanation:
Answer:
It's -20.00% I have a link to a website that calculate percent of change for you if you want it, just comment and tell me
Step-by-step explanation:
f(x)=3x2+2x−3
g(x)=2x+4
Answer:
what are we supposed to find here ?
UM what is 53 x 4? I need to know right now.
Answer:
212 is the correct answer hope it helps
Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Ranjan got 0.04 for his quotient. Which student divided correctly? How do you know? P 7•3
Answer:
Step-by-step explanation:
It’s Roman if you do the math you will get 4.94
How would you know
When doing the math i got the answer 4.94 which that mean ranjan divide wrong
Graph the line with the equation y=
- 1/5x + 4
Step-by-step explanation:
look at the attachment
.....
The graph of the linear equation is plotted and y = ( -1/5 )x + 4
Given data ,
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
On simplifying , we get
y = ( -1/5 )x + 4
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = -1/5
And , the y-intercept of the graph of the line is when x = 0
So , when x = 0
y = ( -1/5 ) ( 0 ) + 4
y = 4
Hence , the equation of line is y = ( -1/5 )x + 4
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The price of a car was decreased by 40% to £750.
What was the price before the decrease?
Consider AWHY below.
Y
h
31
67°
H Η
W
Solve for h. Round your answer to one decimal place.
73.0
Step-by-step explanation:
tan 67°=O/A=h/31
h=31tan67°
h=73.0
Yolanda is making a springboard to use for gymnastics. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled
in the diagram below.
X
8 in
16.5
To the nearest tenth of an inch, what will be the length of the springboard, x?
27.0
b
28.2
ООО
8.3
d
2.3
Answer: Hi! The answer is 28.2
Step-by-step explanation:
The value of x from the given diagram is 28.3 in
SOH CAH TOA identityFrom the diagram shown, we are given the following:
Opposite = 8inHypotenuse = xAngle of elevation = 16.5 degreesTo get the value of x, we will use the relatinship;
Sin theta = opp/hyp
Sin 16.5 = 8/x
x = 8/sin16.5
x = 8/0.2840
x = 28.16
x = 28.2in
Hence the value of x from the given diagram is 28.3 in
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
Which equation shows that y varies directly with x?
y = 0.8x
y = 0.8x/x
y = 0.8x - 5
y = x/8 + 5
plz help ill give brainliest for best answers
Answer:
The least they will have to pay is 235 dollars.
They will have to pay 15 more dollars next year. (250 dollars)
Step-by-step explanation:
25x3=75
40x4=160
75+160=235
25x2=50
40x5=200
50+200=250
2/5 divided by 4 and reduce the answer
Answer:
1/10 i guess
Step-by-step explanation:
2/5=0.4
0.4/4=0.1
0.1=1/10 (one tenth_
Answer:
1/10
Step-by-step explanation:
2/5 ÷4 is the same as 2/20, which is 1/10
Keith has $500 in a saving account at the beginning of the summer. He wants to have at
least $200 in the account. He withdraws $25 from his account each week for food,
clothes, and movie tickets. ("Withdraws" means he takes money out of his account.)
How many weeks can he withdraw $25 per week and still have at least $200 in the
account?
There’s a second question to this problem:
How many weeks can Keith withdraw $25 per week and still have at least $200 in the account? Write your answer in interval notation.
Answer:
12 weeks
Step-by-step explanation:
25x = 300
so 25 times what equals 300, or the amount he can spend before going under 200 in his account.
25 (times) 12 = 300
Answer:
12 weeks
Step-by-step explanation:
x=# of weeks
500-25x[tex]\geq[/tex]200
-500 -500
____________
-25x [tex]\geq[/tex] -300
-25 -25
x[tex]\leq[/tex] 12 weeks
What is the relationship of the angles
Answer:
alternate interior
Step-by-step explanation:
Please help! Will mark brainliest
I believe its 35 but im thinking it can be 40 too
Find the markup rate on a 60$ jacket that sells for 75$
Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.