In the given diagram(see image) , TAX and TBY are tangents to the circle and C is a point on the major arc.
Question :
If <CAX = 65° , <CBY = 76° , Calculate <ATB.
Answers
Answer:
∠ATB = 102°
Step-by-step explanation:
Since ∠CBY is less than 90°, CB is not a diameter.
I did this in my head so I drew a sketch to show that around about way I did it. sketch attached:
I drew a third line from X to Y that is tangent to the circle at C.
Because each pair of tangent lines to a common point are equal, we have made three isosceles triangles.
Now we know 2 of the three angles to ΔXYT, 180 - 50 - 28 = 102° for ∠ATB
Answer:
102°Step-by-step explanation:
Given
∠CAX = 65° , ∠CBY = 76°To find
∠ATBSolution
Refer to attached picture
∠CAX= ∠CBA as same arc intercepted ∠CBY = ∠CAB as same arc interceptedTAX is a straight angle and:
∠TAB = 180° - (∠CAX + ∠CAB) = 180° - (65° + 76°) = 39°∠TBA = ∠TAB as two tangents intersect at same distance, their opposite angles are therefore same. ΔATB is an isosceles triangle.
∠ATB = 180° - 2*39° = 102°
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(8x^2+3xy-20y^2)-(-4x^2+3xy+20y^2)
Answers
Step-by-step explanation:
(8x² + 3xy -20y²)-(-4x²+3xy+20y²)
= 8x² + 3xy -20y² + 4x² -3xy - 20y²
= 8x² + 4x² + 3xy - 3xy -20y² -20y²
= 12x² - 40y²
Amir has 103 days to finsih project he works 7 days a week on the project how many week and days does amir have to finish the project
Answers
Answer: 14 weeks 5 days
Step-by-step explanation:
From the question, we are informed that Amir has 103 days to finish a project and that he works 7 days a week on the project.
The number of weeks and days that he has to finish the project will be:
= 103/7
= 14 5/7
= 14 weeks 5 days
What is the HCF of 21m³n - 14m²n³ + 35m²n² ?
Answers
Answer:
7m^2n (i think)
Step-by-step explanation:
Macy started the week with $30. She then worked at her tutoring job at $15 an hour. She had a total of $210 at the end of the week. Set up an equation to determine the number of hours she worked that week. ( You don't need to solve )
Answers
$180 / $15 = 12 hours
= 12 hours
A 36 meter wallpaper frieze is fitted around a rectangular room.
The room is 6 meter wide.
How long is the room?
Answers
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Make a conjecture regarding the line joining the midpoint of sides of a triangle
Answers
Answer:
A line drawn from the midpoint of one side of a triangle to it's opposite vertex would be an angle bisector of that vertex.
Step-by-step explanation:
The shapes below are mathematically similar.
15 cm
Not drawn
to scale
9 cm
10 cm
X Х
Calculate the length of side x.
Answers
Answer:
X= 6 cm
Step-by-step explanation:
hope it helps u
have a great day!!!
If two ratios are similar we called the ratios to be in proportion.
The length of side x is 6 cm.
What is proportion?If two ratios are similar we called the ratios to be in proportion
We have,
Two shapes:
Consider the bigger shape width = 15 cm and length = 10 cm.
Consider the smaller shape width = 9 cm and length = x cm.
Let the ratio of bigger shape:
= Width / length
= 15/10
Let the ratio of smaller shape:
= Width / length
= 9/x
If the two figures are mathematically similar we can say that the two figures are in proportion.
We can write it as:
15/10 = 9/x
3/2 = 9/x
x = 6
Thus the length of side x is 6 cm.
Learn more about proportion here:
https://brainly.com/question/26974513
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A shark is swimming 25 feet below the surface of the water. It goes down another 12 feet. What is the new depth the shark is swimming at?
Answers
Answer:
37
Step-by-step explanation:
You add them to see the new depth
HELPPP WILL GIVE BRAINLIST
Answers
Answer:
6. A
7. D
8. B
9. C
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Step-by-step explanation:
Answer:
A D B C B
Step-by-step explanation:
HELPPPPPPPPPPPPPPP PLZZZZZZZZZZZ
Answers
Answer:
Option (2)
Step-by-step explanation:
By unitary method,
∵ 8 fluid ounces contains liquid = 237 ml
∴ 1 fluid ounce liquid = [tex]\frac{237}{8}[/tex] ml
∴ 15 fluid ounces liquid = [tex]\frac{237\times 15}{8}[/tex] ml
= 444.375 ml
Therefore, total liquid in 15 fluid ounces 444 ml.
Option (2) will be the answer.
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Answers
A +15-15=35-15
A=20
2b=20
2b/2=20/2
B=10
Britney is 10 years old
6. Meena’s family had a pizza for dinner. The pizza was cut into 8 equal pieces. Meena ate 1 piece, her brother ate 2 pieces, and her mother ate 3 pieces. a) What fraction of the pizza did Meena eat? Her brother eat? Her mother eat? b) Which person’s fraction can you write in more than one way? Explain. c) What fraction of the pizza was eaten? What fraction was left?
Answers
Answer: Meena ate 1/8. Her brother ate 2/8, and her mom ate 3/8ths of the pizza. Her brother can be simplified from 2/8 to 1/4. Lastly, 6/8ths of the pizza has been eaten. 2/8ths is all that remains.
Step-by-step explanation:
A car was valued at $30,000 in the year 2009. By 2013, the car value had depreciated to $14,000. If the
car's value continues to drop by the same percentage, what will it be worth in 2020? Round to the
nearest dollar
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53 POINTS!!!!! PLEASE HELP!!!!! (EXPLAIN AS WELL PLEASE!!!!!)
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Answer:
Can you please send another picture your picture isn't to clear not the question
Answer:
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Step-by-step explanation:
thanks
If V is the midpoint of Line segment Q S and W is the midpoint of Line segment R S, then what is VS? 4 units 8 units 10 units 20 units
Answers
Answer:
20 units
Step-by-step explanation:
We can see that triangle QRS and triangle VWS are similar triangles.
Similar triangles are triangles in which the ratio of their corresponding sides are in the same proportion.
V is the midpoint of QS.
VS = 2a, QS = 2 * VS = 2(2a) = 4a
Since both triangles are similar triangles, hence:
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Answer:
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Step-By-Step-Explanation
Multiply 11x +3 by 4. What is the
product?
Answers
(11x+3)4
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Answers
Answer:
-7 and 2
Step-by-step explanation:
I hope this helps :)
Let me know if you need a full explanation
Answer:
Step-by-step explanation:
a+b=-5
a=-5-b, we are also given
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(-5-b)b=-14
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b^2+5b-14=0
(b+7)(b-2)=0
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Which equation best represents the statement above?
Question 1 options:
7h = 63
h7 = 63
7h = 63
7 + h = 63
Answers
Answer:
7h=63 so a because she charges $7 per hour and earned a total of $63
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a: c is closer to 0 then d is
b: c is less than d
c: on a number line, c is to the left of d
d: the opposite of c is greater than the opposite of d
Answers
Answer:
c: on a number line, c is to the left of d
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Answers
3x=990
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Welcome :)
On Sunday, the high temperature was 71° F, but on Monday it was 5° F lower. What was the percent change?
Answers
Answer:
The percent change is -7%.
Step-by-step explanation:
In order to find the answer, you can use the following formula:
Percent change=(New value-Old value/Old value)*100
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Old value=71
Now, you can replace the values on the formula:
Percent change=(66-71/71)*100
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According to this, the answer is that the percent change is -7%.
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Answers
Answer:
3x + 4y = 12
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Martin painted 255 square feet of this
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A 765 ft2
B 510 ft2
© 382.5 ft2
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Answers
Answer:
i dont know
Step-by-step explanation:
The ratio of girls to boys in Ms. Schnepfs after-school club is the same as the ratio of girls to boys in Ms. Elsendiony's after-school club. There are 4 boys and 12 girls in Ms. Schnepfs club. There are 6 boys in Ms. Elsendiony's club. How many girls are in Ms. Elsendiony's club?
Answers
Answer: 18
Step-by-step explanation:
Step-by-step explanation: The ratio of boys to girls in mr johnson's club: 4:12 =1:3
This ratio is same as the ratio of boys to girls inms greenesclub, 1:3
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The area of a trapezoid is 60 square inches. One of the bases is 8 inches long. The height is 6 inches long. What is the length of the second base?
Answers
Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
[tex]\frac{1}{2}[/tex] × 6 × (8 + b₂ ) = 60 , that is
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b₂ = 12
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Which expression is not equivalent
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Answers
Answer:
A) x² + 7x - 12 is NOT equivalent to the expression.
Step-by-step explanation:
1) expand by distributing terms.
[tex] {x }^{2} - 3x + 4(x - 3)[/tex]
2) Expand by distributing terms.
[tex] {x}^{2} - 3x + 4x - 12[/tex]
3) Collect like terms.
[tex] {x}^{2} + ( - 3x + 4x) - 12[/tex]
4) Simplify.
[tex] {x}^{2} + x - 12[/tex]
The second equation are equivalent to the equation. but the first equation is not equivalent to the main equation.
I need some help. Its needed :)
Sales tax is 6%. What will be the sales tax on a purchase of $15.50?
Answers
$1.48 is the sales tax
Step-by-step explanation:
$15.50 times 6% = 1.48
6%=.06. 1. amount of cost multiplied by amount sales tax,but you have to turn sales tax into decimal
Please need help:) what is the length of XZ
Answers
Answer:
√514, or 22.67
Step-by-step explanation:
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Answer:
I think its c but i dont know
Step-by-step explanation:
