If m angle RTS = 8x + 18, find x so that line TR is perpendicular to line TS
Answer:
Point T is the right angle of the triangle, so RTS = 90 degrees
8x + 18 = 90 (degrees)
8x = 72
x = 9 degrees
Step-by-step explanation:
If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
What is perpendicular ?A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.
We have,
[tex]\triangle RTS[/tex] in which,
[tex]\angle RTS=8x+18[/tex]
Also it is mentioned that [tex]TR \perp TS[/tex] i.e.
[tex]\angle RTS=90^0[/tex]
So, compare values of [tex]\angle RTS[/tex],
We get,
[tex]8x+18=90[/tex]
[tex]8x=72[/tex]
[tex]x=9^0[/tex]
Hence, we can say that If [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then [tex]x[/tex] will be [tex]9^0[/tex].
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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
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.
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.
If TU=z+9 and VX=z–41, what is VX? Picture down below.
Answer:
VX=50
Step-by-step explanation:
VX=[tex]\frac{1}{2} *UT[/tex] (The straight line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it.
[tex]z-41=\frac{1}{2} *z+9[/tex]
[tex]z-41=z+9/2[/tex]
do cross multiplication
2(z-41)=z+9
2z-82=z+9
2z-z=9+82
z=91
VX=z-41
=91-41
=50
Translate the sentence into an inequality.
Twice the difference of a number and 5 is at most 27.
Use the variable b for the unknown number.
Answer:
2b-10≤27
Step-by-step explanation:
In this problem, we use b to represent the unkown number. Please be careful of order of operations when writing the inequality. (The difference of a number and 5) multiplied by 2 is at most 27. Also, note that the both sides of the inequality can be 27, but no more than 27.
[tex]2(b-5)\leq 27\\2b-10\leq 27\\[/tex]
If you wish to solve for b from here, simply isolate the term containing b and solve from there.
I hope this helps! Let me know if you have any questions :)
Answer:
2(x - 5) < 27
Step-by-step explanation:
Equation
2(b - 5)<27
Explanation
Break this down
difference means subtract.
The number is b
and finally for now, the difference between a number and 5 is
x - 5
Twice that difference is
2(x - 5)
And the keyword less (than) 27. Always make sure you know what less than means. It means that it is never equal to 27, but it can be pretty close.
26.999999999999 < 27
So the final result is
2(x - 5) < 27
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 :)
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
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
Sara sees some notebooks she likes in a shop. They cost 35p each. This is the money she has. Look in the image
a. How many notebooks can Amy buy? _________
b. How much money will she have left? __________
NEED ANS ASAP giving u 50points
Answer:
Sara can buy 2 notebooks with the money that she has and she will have a remainding 23.1
Step-by-step explanation:
93.1-35-35=23.1
Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP
Answer:
Area = 1500 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area= height ×(Base 1 +base 2)
Area = 20 × (40+35)
Area = 20×75
Area = 1500 [tex]cm^{2}[/tex]
what is the answer for 10(x-7)=y
Which points are the vertices of the ellipse?
points G and H
points J and K
points L and N
points M and N
Answer:
Your answer is A) points G and H
Step-by-step explanation:
I took the test on edge 100%
Help plz..And No links!! I repeat No links!!
Answer:
56
Step-by-step explanation:
Take 64 and subtract by 8, to get 56
Simplify the following
Answer:
60√3 or 103.923
PLEASE PLEASE ANSWER I NEED TO PASS!!!!
in the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
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
es para matematica cuanto es 9x (-8) =
Answer:
−72x
Step-by-step explanation:
4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*
Answer:
x>6
Step-by-step explanation:
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:
Find the 25th term of the sequence -7,-22,-37.
Answer:
a₂₅ = - 367
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = - 22 - (- 7) = - 37 - (- 22) = - 15
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 15 , then
a₂₅ = - 7 + (24 × - 15) = - 7 - 360 = - 367
Let p: x < -3 let q: x > 3 What is represented by p v q
ab + 4 + a + 4b
pls help if u can.
Answer:
(1+b)(a+4)
Step-by-step explanation:
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
The following box plot represents the average heights of the students in Mrs. Hill's sixth grade math class.
Which of the following statements can you determine from the graph? Select all that apply.
Half of the students in Mrs. Hill's class are between 147 centimeters and 154 centimeters tall.
The median height of the students in Mrs. Hill's class is 152 centimeters.
The interquartile range of this data set is 15 centimeters.
The mean height of the students in Mrs. Hill's class is 152.5 centimeters.
Answer:
152 and 9
Step-by-step explanation:
Savannah is using unit cubes to determine the volume of her desk drawer. What is true about the volume of Savannah's drawer?
Answer:
The volume is 60 cubic units
Step-by-step explanation:
It is given that Savannah is using the unit cubes for determining the volume of her desk drawer.
Each of the cube have dimensions of 1 unit by 1 unit by 1 unit
The base of the drawer is 4 unit cubes by 3 units cubes. And the height of the desk drawer is 5 units cube.
Thus the volume of her desk drawer is = 4 x 3 x 5
= 60 cubic units
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
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.
