What is the length of side YZ?
Answer:
8
Step-by-step explanation:
The bottom angles are equal, so the sides are equal
2x = 5x-12
Subtract 5x from each side
2x-5x= 5x-12-5x
-3x = -12
Divide by -3
x = 4
YZ = 5x-12 = 5(4) -12 = 20-12 =8
Find the center and the radius of the circle with the equation:
x2 - 2x + y2 + 4y + 1 = 0
Complete the square:
x ^2 - 2x + y ^2 + 4y + 1 = 0
(x - 1)^2 + (y + 2)^2 + 1 = 1 + 4
(x - 1)^2 + (y + 2)^2 = 4 = 2^2
Hence the center is (1, -2) and the radius is 2. (D)
Solve for X
PLEASEEEEE HELPPPP
Answer:
ok from this we know the angle of this triange are
90+47+x=180
x=43
with these if we use the proper formula we know that the two other sides are
about 21 and 23
since the top side is longer we know that X=23
The sum of two numbers is 106. The bigger number is 22 more than the smaller number. Then what is half of the smaller number?
(1 Point)
a) 84
b) 21
c) 42
d) 32
7Rakesh's mother's age is three times the present age of Rakesh. After 5 years their ages when added together, will become 66 years. The equation that represents the above is as follows;
(1 Point)
a) x + 3x = 66
b) x + 3x + 5 = 66
c) 4x + 15 = 66
d) 4x + 10 = 66
8Equation 1 is : 2 x - 3 = - 9 and Equation 2 is : x - 7 = 2. The first equation has solution (x = - 3), and the second equation has solution (x = 9) and both these answers are correct for the respective equations. Choose the correct statement from below.
(1 Point)
a) Since the first equation has a negative solution, the second equation only is a Linear equation, as it has a positive solution
b) Both equations have solutions which are rational numbers
c) The first equation is called a Negative Linear Equation as it has a negative solution
d) None of the statements a, b or c are True
9Please see the Figure A, and choose the correct
statement that matches the figure from the
options given below.
(1 Point)
a) The above figure is a Polygon with 5 sides
b) The above figure is a Concave Polygon
c) The above figure is not a Polygon
d) The above figure is a Regular Pentagon
10The sum of measures of the exterior angles of any polygon is …
(1 Point)
a) 180 degrees
b) 360 degrees
c) ( n – 2 ) x 180 degrees
d) ( n – 2 ) x 360 degrees
11In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
(1 Point)
a) Is a Square
b) Is a Rhombus
c) Could be a Square, or could be a Rhombus, we need to know more about the length of the diagonals
d) None of the above statements is correct
12A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
(1 Point)
a) That the diagonals remain equal
b) That the diagonals continue to bisect the angles at the vertices equally
c) The lengths of the diagonals change
d) The diagonals are now bisecting each other in 4 equal parts
13Which statement is True for the following two Figures A and B, given below
(1 Point)
a) Figure A is a Rhombus and Figure B is a Kite
b) Figure A and B are both Rhombus
c) Figure A and B are both Kites
d) Figure A is a Kite and Figure B is a Rhombus
14Which statement out of the four options below, is True?
(1 Point)
a) All Rectangles are Squares
b) All Rhombuses are Parallelograms
c) All Squares are Concave Polygons
d) All Convex Polygons have diagonals outside them
15
(1 Point)
16If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
(1 Point)
a) 156
b) 15600
c) 15.6
d) 1.56
1712.00001 ÷ 0.600001 is closest to ……..
(1 Point)
a) 0.02
b) 2
c) 20
d) 200
18Complete:
(1 Point)
19The equation : 12 x + 16 = 20 is the same as ……
(1 Point)
a) 12 x + 8 = 12
b) 12 x = 20 + 16
c) 12 x – 16 = 20 – 16
d) 12 x – 20 = 16
2020. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
(1 Point)
21Which number will give us a quotient of - 4, if we divide - 24 by ……..
(1 Point)
a) 4
b) - 6
c) - 4
d) 6
22If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
(1 Point)
a) – 3
b) 3
c) – 6
d) 6
23The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
(1 Point)
a) Only Rohit got the correct answer
b) Both Rohit and Mohit got the correct answer
c) Rohit, Mohit and Rakesh all got the correct answer
d) Rohit, Mohit and Allen all got the correct answer
24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
(1 Point)
a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circle
b) Binu has walked more than Abhay, as he has walked more circles than Abhay
c) Both of them have covered the same distance
d) With the information given above, we cannot say who walked more
25Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
(1 Point)
a) +
b) –
c) x
d) ÷
Step-by-step explanation:
on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think
To solve the above, the solutions are given below.
1. b) 21
7. b) x + 3x + 5 = 66
8. b) Both equations have solutions which are rational numbers
9. a) The above figure is a Polygon with 5 sides
10. b) 360 degrees
11. In a quadrilateral, if all sides are equal and the diagonals bisect each other at right angles, then the quadrilateral …
a) Is a Square
12. A rectangular wire frame could be bent and turned into a Parallelogram keeping the same 4 original sides, but the following must be true for this to happen…..
b) That the diagonals continue to bisect the angles at the vertices equally
13. Which statement is True for the following two Figures A and B, given below
b) Figure A and B are both Rhombus
14Which statement out of the four options below, is True?
b) All Rhombuses are Parallelograms
16. If 4368 ÷ 28 = 156, then if the same 4368 is now divided by 0.28, what will be the answer?
b) 15600
17. 12.00001 ÷ 0.600001 is closest to ……..
c) 20
19. The equation : 12 x + 16 = 20 is the same as ……
a) 12 x + 8 = 12
20. Find the value of a quarter of the angle QRT
which is ‘x’ if angle PRS is 2x as shown in the
figure below. Consider Triangle PRQ and Triangle
RST to be equilateral triangles of different sizes.
80°
21. Which number will give us a quotient of - 4, if we divide - 24 by ……..
d) 6
22. If 2 ( 3 – 2 x ) = 3 ( x – 5 ) then x = ……….
b) 3
23. The teacher asked the class to divide a given number by 24
- Rohit divided the number by 24 and got the correct answer 20
- Mohit divided the number by 6 and got an answer which he again divided by 4 and
obtained the final answer
- Rakesh divided the number by 2.4 and then divided the answer again by 10
- Allen divided the number by 2.4 and then multiplied the answer obtained by 10
Now choose the best solution from the below options.
a) Only Rohit got the correct answer
24. Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour …...................
c) Both of them have covered the same distance
25. Which sign will you put in between [ 120 ….. ( 3 / 11 ) ], so that the answer or result is the highest number
c) x
Therefore, the answers are as given above.
learn more about factorization from here: https://brainly.com/question/25829061
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
Answer:
D
Step-by-step explanation:
we'll use the complex number system to solve this exercice
the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then
[tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]
for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number
[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]
so the points are aligned
Answer:
D (1, 2), (2, 4), (4, 8)
Step-by-step explanation:
Hope this helps
wanda spent 4 1/8 hours studying last night. She spent 1/3 of the time studying math. How much time did she spend studying math?
ANSWER PLSS
Answer:
[tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes
Step-by-step explanation:
Wanda spends a third of her [tex]4\frac{1}{8}[/tex] hours studying math. Let us multiply these two fractions to find how much time she spent. Our first step would be to convert the mixed number into an improper fraction, as mixed numbers are hard to manipulate with:
[tex]4\frac{1}{8} =\\\frac{33}{8}[/tex]
Now let us multiply:
[tex]\frac{1}{3} *\frac{33}{8} =\\\frac{11}{8}[/tex]
If we wish, we can convert this into a mixed number:
[tex]\frac{11}{8}= \\1\frac{3}{8}[/tex]
or, 1 hour and 22.5 minutes.
Therefore, Wanda spent [tex]1\frac{3}{8}[/tex] hours, or 1 hour and 22.5 minutes studying math.
I hope this helps! Let me know if you have any questions :)
PLEASE PLEASE ANSWER I NEED TO PASS!!!!
The sales tax in a city in Chicago was 5.5%. Ms.M spent $60 on presents for
family members. What was Ms.M's total including sales tax?
Answer:
$63.30
Step-by-step explanation:
Assuming the $60 is excluding taxes:
60 * 1.055 = $63.30
Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answer:
ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by
465.98*0.964=
449.20472
so now we round to two points to get
449.21
A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 14 to be returned.
What is a valid proportion to represent the problem?
Answer:
the last one is correct
Step-by-step explanation:
because 3000/12 = 250 and 3500/14 = 250 so they are porportional.
Victor must choose one pair of pants, one shirt, and one tie to wear to work. His possible choice combinations are shown in the tree diagram below.
If Victor chooses these work clothes at random, what is the probability that he will choose tan pants, a white shirt, and a red tie?
1/12
1/4
3/7
4/9
Answer:
should be 3/7 I think that's right
Let p: x < -3 let q: x > 3 What is represented by p v q
What percent of 8 is 1,280? A 16096 O B. 16,000% O O O C. 1,600% D. 1.6%
Answer:
B. 16,000%
Step-by-step explanation:
8 — 100%
1,280 — x%
x = 1,280 · 100/ 8 = 16%
Answer:
16,000
Step-by-step explanation:
Solve for in x in
4+3 (2x-4)=28
Answer: x=6
Step-by-step explanation:
Let's solve your equation step-by-step.
4+3(2x−4)=28
Step 1: Simplify both sides of the equation.
4+3(2x−4)=28
4+(3)(2x)+(3)(−4)=28(Distribute)
4+6x+−12=28
(6x)+(4+−12)=28(Combine Like Terms)
6x+−8=28
6x−8=28
Step 2: Add 8 to both sides.
6x−8+8=28+8
6x=36
Step 3: Divide both sides by 6.
6x
6
=
36
6
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]4+3 (2x-4)=28[/tex]
Distribute 3 to the parenthesis:
[tex]4+6x-12=28[/tex]
Add 12 to both sides:
[tex]4+6x-12=28[/tex]
+12 +12
[tex]4+6x=40[/tex]
Subtract 4 from both sides:
[tex]4+6x=40[/tex]
-4 -4
[tex]6x=36[/tex]
Divide both sides by 6
[tex]6x=36[/tex]
/6 /6
[tex]x=6[/tex]
Hope this helps!
1.
Line RK
Line TY
Line RU
Line PQ
2. Pick three
- X
- T
- Q
- U
- Y
3. Pick three
- X
- s
- P
- R
- U
- T
4.
Plane QRP
Plane XUY
Plane s
Plane TRY
5. Show work if possible pls
(1/2, 4)
(4, 1/2)
(8, 1)
(1, 8)
6. Round to one decimal point
7-11. Show work if possible plz!
Answer:
the answer is plane try I'm pretty sure it's that.
Type the correct answer in each box. The reflection of point S across the y-axis is point . The reflection of point Q across the x-axis and the y-axis is point , whose coordinates are (, ).
Answer:
[tex]S' = (-5,-5)[/tex]
[tex]Q"=(-5,-5)[/tex]
Step-by-step explanation:
Given
[tex]S = (5,-5)[/tex]
[tex]Q= (5,5)[/tex]
Solving (a): Reflect S across y-axis
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]S(5,-5) \to S'(-5,-5)[/tex]
Hence:
[tex]S' = (-5,-5)[/tex]
Solving (b): Reflect Q across x and y-axis
The rule to reflect across x-axis is:
[tex](x,y) \to (x,-y)[/tex]
So:
[tex]Q(5,5) \to Q'(5,-5)[/tex]
The rule to reflect across y-axis is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex]Q'(5,-5) \to Q"(-5,-5)[/tex]
Hence:
[tex]Q"=(-5,-5)[/tex]
i dont get it either
Step-by-step explanation:
Given csc(A) = 60/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!
Answer:
[tex] \frac{15 \sqrt{209} }{209} [/tex]
Step-by-step explanation:
Objective: Understand and work with trig identies.
Recall multiple trig identies and manipulate them to get from cosecant to secant.
Given
[tex] \csc(a) = \frac{60}{16} [/tex]
Apply reciprocal identity csc a = 1/sin a.
[tex] \sin(a) = \frac{16}{60} [/tex]
Apply pythagorean identity to find cos a.
[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]
[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]
[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]
We can simplify both expression
[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]
[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]
Cosine is positve on quadrant 1 so that cos(a)
Apply reciprocal identity sec a= 1/ cos a.
The answer is
[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]
Rationalize the denominator.
[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]
28 Marks
.
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and..
Answer:
HCF×LCM=a×b
6×60=a×b
a×b=360
So the numbers are whose product is 360 and LCM is 60
These two numbers can be 6,60 or 12,30
Help answer correctly please !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 23.4 ft^3
Step-by-step explanation: The perimeter of the base is 10.7, it is a square so the 4 sides of the base are equal. One side of the base is equal to 2.675 if the perimeter (4 sides) is equal to 10.7, so plug that and the height into the formula for the volume of a square pyramid to get 23.38, or 23.4 to the nearest tenth.
Answer:
v ≈ 34.95ft^3
Step-by-step explanation:
h = 9.8ft
A^B = 10.7ft
V=A^B
h/3 = 10.7 • 9.8/3
≈34.95333ft^3
≈34.95ft^3
8 × 4 ÷ 3 + 5 2 - 8 Can Someone Answer This Algebra Question
Answer:
164/3
Step-by-step explanation:
Help plz..And No links!! I repeat No links!!
Answer:
56
Step-by-step explanation:
Take 64 and subtract by 8, to get 56
One of the heaviest rainfalls ever recorded occurred in Holt, Missouri, when 12 inches of rain fell in 40 minutes. At this rate, how much rain would fall in an hour?
in the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
ab + 4 + a + 4b
pls help if u can.
Answer:
(1+b)(a+4)
Step-by-step explanation:
please help me oh my lord
Answer:
A
Step-by-step explanation:
Which of the following is least likely to be an advantage of scientific models?
They can precisely replicate any scientific theory or law.
They can be used to help scientists formulate and improve hypotheses.
They can be used to visually represent objects that are very small or very large.
They can be used to simplify complex concepts so that they are better understood.
Answer:
send one
the second one boi
Step-by-step explanation:
pls help
Which set of numbers does not contain the value below?
Select one:
a. Complex Numbers
b. Pure Imaginary Numbers.
c. Rational Numbers.
d. Integers.
Answer:
b. Pure Imaginary Numbers.
Step-by-step explanation:
[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]
-3 is an integer, a complex number, and a rational number.
Answer: b. Pure Imaginary Numbers.
The estimated total,costs,y, of a child's toy is practally based on the number of batteries used x.The cost of one battery is 0.75. The toy itself cost 12$.Which equation represents the situation
Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
Simplify 10( to the power of 9) divided by 10( to the power of 7)
The simplified form of 10⁹/10⁷ is 100.
The given expression is,
10⁹/10⁷
Since we know that,
Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.
Since we also know that,
When base of exponent is same then while dividing we subtract the power of denominator from the power of numerator,
Therefore,
we can write the given expression
10⁹/10⁷ = [tex]10^{(9-7)}[/tex]
= 10²
= 10 x 10
= 100
Hence,
10⁹/10⁷ = 100
To learn more about exponent visit
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is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
