Answers
Answer:
x = 30°
y = 30°
Step-by-step explanation:
By inscribed angle theorem:
[tex]x = y = \frac{1}{2} \times 60 \degree \\ \\ x = y = 30 \degree[/tex]
Related Questions
Prove the following identity
sin x(sec x+cscx)= tan x +1
Answers
Answer:
Step-by-step explanation:
________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
[tex]\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}[/tex][tex]\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}[/tex][tex]\tan x = \frac{\sin x}{\cos x}[/tex]________________________________________________________
In the question ,
L.H.S. = [tex]\sin x (\sec x + cosec \: x)[/tex]
R.H.S. = [tex]\tan x + 1[/tex]
Lets solve L.H.S. first.
[tex]\sin x (\sec x + cosec \: x)[/tex]
[tex]=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )[/tex]
[tex]=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}[/tex]
[tex]=> \tan x + 1[/tex]
∴ L.H.S. = R.H.S. (Proved)
Choose Yes or No to tell if the number 3 will make each equation true. 2 ÷ □ = 3 2 Choose... 2 ÷ 6 = □ Choose... 2 ÷ □ = 2 3 Choose... □ ÷ 8 = 3 8 Choose...
Answers
Answer:
1 no
2 yes
3 no
4 no
Step-by-step explanation:
2 ÷ □ =2/3, □ ÷ 8 = 3/8 is true for x is true which equation choose is yes.
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to choose yes or no to tell if the number 3 will make each equation true.
2÷□=3/2
To get 3/2 we have to divide two by three.
2/3=3/2
These are not equivalent so it is not yes.
The other expression 2 ÷ 6 = □
2 ÷ 6=1/3 which is not 3, so it is no.
The third expression
2 ÷ □ = 2/3
When we put 3 in the blank place we get two divided by three.
2 ÷ 3=2/3
Which is true so answer is yes for 3.
□ ÷ 8 = 3/8
When we put three in the blank we get three divided eight which is true.
3÷ 8 = 3/8 which is yes for 3.
Hence, 2 ÷ □ =2/3, □ ÷ 8 = 3/8 is true for x is true which choose is yes.
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if a 30 foot rope is divided into 1/4 of a foot pieces how many pieces of rope are there
Answers
Answer:
7.5 is the answer to this
Hello! May Someone Kindly help me with this? its worht 13 points!
Answers
PLEASE HELP, WILL GIVE BRAINLIEST!!!!!!!!
Answers
Using rules, we can simplify expressions with exponents, factorize, or expand them. [tex]2 x \sqrt{10 x}-2 x \sqrt{5}.$[/tex] Thus option D is correct,
What is the exponents and algebraic manipulation?We can simplify the expression using the rules of exponents and algebraic manipulation.
[tex]$\sqrt{5 x}\left(\sqrt{8 x^2}-2 \sqrt{x}\right) = \sqrt{5 x} \cdot \sqrt{8 x^2} - 2\sqrt{5 x} \cdot \sqrt{x}$[/tex]
[tex]$= \sqrt{(5x)(8x^2)} - 2\sqrt{(5x)(x)}$[/tex]
[tex]$= \sqrt{40x^3} - 2\sqrt{5x^2}$[/tex]
[tex]$= \sqrt{4x^2 \cdot 10x} - 2x\sqrt{5}$[/tex]
[tex]$= 2x\sqrt{10x} - 2x\sqrt{5}$[/tex]
Hence, the simplified product where [tex]$x \geq 0: \sqrt{5 x}\left(\sqrt{8 x^2}-2 \sqrt{x}\right)$ is $2 x \sqrt{10 x}-2 x \sqrt{5}.$[/tex]
Therefore, Using rules, we can simplify expressions with exponents, factorize, or expand them. the correct option is $(D) [tex]2 x \sqrt{10 x}-2 x \sqrt{5}.$[/tex]
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how do you factor 14xy + 21x
Answers
Answer:
7x(2y+3)
Step-by-step explanation:
What is the y-intercept of the line whose equation is:
6x + 2y = 4
A.1
OB. 2
O C.4
D. 6
Answers
Answer:
2
Step-by-step explanation:
Use the intercept method. Where is y when x = 0?
4. The length of a leg of a right triangle is 12 inches
and the hypotenuse is 17 inches long. What is
the length of the other leg?
Answers
Answer:
12.04
Step-by-step explanation:
hi can someone help me with math?:
Evaluate the expression x + 12, if x = 4
options:
1. 18
2. 8
3. 16
4. 48
Answers
Answer:
4+12= 16 so answer 3
Step-by-step explanation:
put four in place of x
Answer:
3. 16
Step-by-step explanation:
x=4
therefore x is worth four so we can replace x with the number 4
4+12
4+12=16
PLEASE HELP ME!
20 points and brainlist.
Answers
Answer:
greatest common factor
Answer:
Greatest common factor
Step-by-step explanation:
You need the upside down birthday cake method to find prime numbers and gcf
Give the Domain and Range of the following function.
2
2
4
6
O Domain: 2 < X < 6, Range: 4
o Domain: 1 <3 < 6, Range: 1
O Domain: 0 < x < 7, Range: 1
O Domain: 1 < x < 7, Range: 1
Answers
Answer:
Domain: 1 ≤ x ≤ 6, Range: 1 ≤ y ≤ 7
The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height
is 25 centimeters and its base length is 16 centimeters. What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
0600 square centimeters
O 300 square centimeters
O 150 square centimeters
160 square centimeters
Answers
Answer:
150 square centimeters
Step-by-step explanation:
Area of a triangle:
The area of a triangle is the multiplication of 0.5, the base length and the height length.
What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
[tex]A = 0.5*20*15 = 10*15 = 150[/tex]
The area of the triangle is 150 square centimeters.
(40 POINTS!!) solve for x
Answers
Answer:
do 13+7 you will have your answer. (go down for answer)
Step-by-step explanation:
its 20
which is equivalents to 9/8
Answers
Answer:
12
Step-by-step explanation:
Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56
I need to find the surface area of this prism
Answers
Answer:
264ft³
Step-by-step explanation:
2[(8*6)+(6*12)+(12*8)]
=264
The perimeter
particular rectangle is
36 centimeters. The longer sides of the rectangle are
cach 2 centimeters longer than each of the shorter sides
of the rectangle. What is the length, in centimeters, of
one of the longer sides of this rectangle"?
Answers
Answer:
Long side of the rectangle: 11cm
Shorter side of the rectangle: 7cm
Step-by-step explanation:
36cm divided by 4 = 9
9-2=7
take that two and add it to the other two nines
9+2=11
The required length of the longer sides of rectangle is 10cm.
The perimeter of the rectangle is 36 centimeters,
length = 2+ width
rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.
Perimeter = 2 length x 2 width
36 = 2(2+width) x 2width
36= 4 (1+width)
width = 8
length= 2+width
length = 2+ 8
length = 10 centimeters
Thus, The required length of the longer sides of rectangle is 10cm.
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need help answering
Answers
What does "Uninsured Motorist Bodily Injury" typically cover
Answers
Answer:
Uninsured motorist bodily injury, or UMBI, pays for medical bills, pain and suffering, lost wages if you can't work after an accident and funeral expenses after a crash with an at-fault driver who doesn't have car insurance. It may also cover you if you're hit as a pedestrian or while riding your bike.
Step-by-step explanation:
Question 6 of 25
Which expression gives the area of the triangle shown below?
A. ac
O Box
OC. (*)
OD (aco)
SUBMIT
Answers
Answer: 1/2 cx
Step-by-step explanation: I did the quiz
what is the least common denomimator for 1/3 and 1/2
Answers
Answer:
its equals 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
listen to cooties by melanie martinez and tell me what u think
Answers
Answer:
Okie doki
Step-by-step explanation:
Answer:
or ask something school related or get off of here
Step-by-step explanation:
Please help is for noww
Answers
Answer:
25¢
Step-by-step explanation:
Answer: Answer: $0.25
Step-by-step explanation:
Let x be the total money was in her wallet and m be the cost of each petunia,
From the given table , the money left in wallet after purchasing 2 petunia =$6.50
Then we have the following equation: 6.50 = x - 2m - - - - - ( 1 ) Also, the money left in wallet after purchasing 8 petunia =$5 Then, we have 5 = x - 8m - - - - - - - - - ( 2 ) Subtracting (2) from (1) , we get 6.50 - 5 = -2m - (8m) then -2m + 8m = 1.50 then we 6m = 1.50. m = 1.50/6 = 0.25 hope this helped.
What is 70000% + 8100000
Answers
Answer:
8100700
Step-by-step explanation:
I used a calculator
Could you pls mark me brainliest I only need one more
Answer:
8100700
hop i helped look at my drawing
Step-by-step explanation:
A bowl contains equal-sized gumdrops. If the bowl has 30 green gumdrops and 1 blue gumdrop, plot an X on the number line below which could represent the probability of randomly choosing a green gumdrop from the bowl.
Explain how you determined your answer.
Answers
Answer:
≈ 0.97
Step-by-step explanation:
Given that :
Number of green gum drops = 30
Number of Blue gum drops = 1
Total number of gum drops :
(Number of blue + number of green gum drops)
(30 + 1) = 31
Probability = Required outcome / Total possible outcomes
P(green gum drops) = number of green drops / total number of gum drops
P(green gum drops) = 30 / 31 = 0.967 ≈ 0.97
The point x will be drawn slightly to the right of the midpoint between the last two tick marks.
which value from the set makes 12n-15=42 true?
A.2.25
B.2.8
C.3.5
D.4.75
Answers
If you substitute n for 4.75, and multiply 12(4.75), you get 57. Then subtract 15, and you get 42.
One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true?
Check all that apply.
The bases are congruent.
The solids are similar.
The ratio of the volumes of the first solid to the second solid is 8:1.
The volume of the first solid is twice as much as the volume of the second solid.
If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.
Answers
Answer:
First rectangular solid and second Rectangular solid
1. Bases are in the form of square having same dimensions
2. Height of first rectangular solid=2 ×Height of second rectangular solid
The true statements are
A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.
(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .
(D) Volume of first solid = x *x*2 H=2 x²H
Volume of second solid = x*x*H=x²H
Ratio of volumes =2:1
So, option (D) is true.
(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]
=2[x²+4 H*x]=2 *x*[x+4* H]
Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]
Option A, D, E are correct about two solids.
Step-by-step explanation:
Answer:
a, d, e
Step-by-step explanation:
a cylinder had a diameter of 17 cm and a height of 11 cm. ehat is the volume of the cylinder
Answers
Answer:
2496.78
Step-by-step explanation:
What the distance between (1,-9) and (6,-6)
Answers
Answer:
8 units for 1, -9
6 units for 6, -6
Step-by-step explanation:
50 POINTS QUICK Mary is three times as old as her son . In 12 years Mary will be twice as old as her son. How old is each of them now?
Answers
Answer: Mary is 36 and her son is 12; in 12 years her son will be 24 and she will be 48
Step-by-step explanation:
Answer:
Mary's age = 36
Son's age = 12
Step-by-step explanation:
Let x be age of Mary and y be age of her son.
According to question,
x = 3y...........(1)
And,
x + 12 = 2(y + 12)
x + 12 = 2y + 24
Replacing value of x from (1),
3y + 12 = 2y + 24
3y - 2y = 24 - 12
y = 12
And x = 3 x 12 = 36
What is the total number of digits required in numbering the pages of a book which has 1210 pages?
Answers
Answer:
3693 digits
Step-by-step explanation:
Answer:
3733
Step-by-step explanation:
9x1=9
90x2=180
900x3=2700
211x4=844
9+180+2700+844=3733