Answers
Answer:
[tex] \boxed{x = 45°} [/tex]
Step-by-step explanation:
When two chords intersect at a point in a circle, they form arcs, along with angles at the intersection point.
To determine the angle of the arc, we must apply this geometric rule:
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex].
Since we are looking for one of the arcs, we can rearrange this formula to solve for the first arc.
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(sum \: of \: intersecting \: arcs) [/tex] →
[tex] Angle \: formed \: by \: chords = \frac{1}{2}(\overset{\frown}{BA} + \overset{\frown}{CD}) [/tex] →
[tex] 2 × Angle \: formed \: by \: chords = \overset{\frown}{BA} + \overset{\frown}{CD} [/tex] →
[tex] 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} = \overset{\frown}{BA} [/tex]
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
[Given]
[tex] \overset{\frown}{BA} = x° [/tex]
[tex] \overset{\frown}{CD} = 99° [/tex]
[tex] Angle \: formed \: by \: chords \: = 72° [/tex]
→
[tex] \overset{\frown}{BA} = 2 × Angle \: formed \: by \: chords \: – \: \overset{\frown}{CD} [/tex]
→
[tex] x° = 2 × 72° \: – \: 99° [/tex]
[tex] x° = (2 × 72°) \: – \: 99° [/tex]
[tex] x° = 144° \: – \: 99° [/tex]
[tex] \boxed{x° = 45°} [/tex]
Related Questions
Can you make EXACTLY $20 by using a total of seven $1, $5, or $10?
Answers
Answer: No, you cannot.
1*7=7
5*7=35
10*7=70
None are equal to 20.
Frank multiplied 7 and 528 and got the product 3,696.
Which estimate shows that his answer is reasonable?
Answers
Step-by-step explanation:
I think because the last number in 528 is 8 therefore 7×8 is 56 and the product last number is 6 there you have it
find 0.025×1.24 . express your answer in decimal form
Answers
Answer:
0.025
Step-by-step explanation:
Divide the percentage by 100 to convert it to decmals.
for example 20%=
20
100
=.2
30%=
30
100
=
.3
2.5%=
2.5
100
=
.025
ur welcome
Answer:0.03100
Step-by-step explanation:
28. A factory makes rugs at a constant rate of 10 rugs every 4 hours. Which statement is true?
Answers
At Rose's Beading Boutique, 14 out of the 56 beads on clearance are plastic. What percentage of beads on clearance are plastic?
Write your answer using a percent sign (%).
Answers
two companies listed a revenue for the year in their respective websites. Company a has revenue in the amount of 1.6×10^6 and company b has revenue in the amount of 7.2x10^8. how many Times greater is the revenue for company b?
Answers
How do you choose the best point of view for your own narratives? A. You choose randomly. B. You think about how your choice of narrator will affect the story before you begin writing.C. You don't have to make a choice because it doesn't matter. D .You ask your teacher or a friend which point of view you should use.
Answers
Answer:
B.) You think about how your choice of narrator will affect the story before you begin writing, should be the most correct choice given. I hope this helps.
Val started watching a live video on social media. The equation Y + 20 = 120(X + 1) represents Y, the total number of people watching the video as a function of X, the number of minutes since Val started watching.
A - List the slope and what it represents.
B - Write the equation in slope-intercept form.
C - How many people were watching the video when Val started watching? how do you know?
Help asap
Answers
Answer:
y = 120x + 100
x = y/120 - 5/6
Step-by-step explanation:
can somebody answer this? thankyu
Answers
Answer:
1. 3, 12, 48, 192, 768 Ratio: x4
2. 8, 16, 32, 64, 128 Ratio: x2
3. 120, 60, 30, 15, 7.5 Ratio: ÷2
4. 5, 10, 20, 40, 80, 160 Ratio: x2
5. 1.3?, 4, 12, 36, 108, 324 Ratio: x3
Hope this helps!
I'm not sure about the first one on question 5 though.
__% of 4 is 7
Please help
Answers
Answer:
175%
Step-by-step explanation:
1. To find how much a percent of a number is, we'd just have to multiply the percent by the number. However, in this case, we're missing the percentage.
2. To find that percentage, we can write an equation of [tex]\frac{x}{100} * 4 = 7[/tex] because "of 4" means to multiply by 4, and "is 7" means that the product is 7.
3. Now, let's solve our equation.
[tex]\frac{x}{100} * 4 = 7[/tex]Step 1: Simplify both sides of the equation.
[tex]\frac{4}{100}x = 7[/tex] [tex]\frac{1}{25}x=7[/tex]Step 2: Multiply both sides by 25.
[tex]\frac{1}{25}x * 25 = 7 * 25[/tex] [tex]x = 175[/tex]Step 3: Check to see if solution is correct.
[tex]\frac{175}{100} * 4 = 7[/tex] [tex]\frac{700}{100} = 7[/tex] [tex]7 = 7[/tex]Therefore, the answer is 175%.
What is the result of subtracting the second equation from the first? 5x-y=6 and -2x+y=8
Answers
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2,−4)
Equation Form: x= 2, y = −4
Step-by-step explanation:
I did the math
4x + 6 = 2(2x +3) is an example of what type of equation?
Answers
Answer:
Simplifying
4x + -6 = 2(2x + 3)
Reorder the terms:
-6 + 4x = 2(2x + 3)
Reorder the terms:
-6 + 4x = 2(3 + 2x)
-6 + 4x = (3 * 2 + 2x * 2)
-6 + 4x = (6 + 4x)
Add '-4x' to each side of the equation.
-6 + 4x + -4x = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-6 + 0 = 6 + 4x + -4x
-6 = 6 + 4x + -4x
Combine like terms: 4x + -4x = 0
-6 = 6 + 0
-6 = 6
Solving
-6 = 6
PLSS HELP PLSSSSSSSssssssssssss
Answers
Answer:
24% voted for candidate C.
Step-by-step explanation:
36/150 = 0.24 = 24%
factorise using the formula
Answers
Answer:
please find answer attached
Step-by-step explanation:
Which shows the expression below in simplified form?
(5 × 105) × (6 × 10-2)
Answers
Answer:
30450.
Step-by-step explanation:
Not sure what you meant by simplify? Hope this helps.
(sec^2 - 1) (cse^2 -1) Show work please
Answers
what do you want us to do because we can
-solve for S
-solve for E
-solve for C
-multiply them together
-find the intercepts of any
-turn any into others
-more
what law would you use to simplify (2xy)^(2)
Answers
Answer:
(2xy)²
Step-by-step explanation:
please mark me as brainliest
I need help asap
write an inequality that represents the graph .
Answers
Answer:
x ≤ -5
-5 is the point and the point is filled and pointing to the left so it's less than or equal to
The point starts on -5 and goes to the left so it would be x <= -5
Which of the following is true?
Answers
Answer:
RT is an altitude of GRS
Step-by-step explanation:
An altitude is an angle that shoots through the tip of a triangle. RT and QRS share that.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct statement is :
RT is an altitude of Triangle QRSIn 2012 Joe had $ 104
in his bank account. BY
2017 he had $889 in his
account. Determine
the annual rate of
change.
Answers
Answer:
$157Step-by-step explanation:
The amount of change is:
889 - 104 = 785The time difference in years:
2017 - 2012 = 5The annual rate of change is the ratio of the difference in amount to the time difference:
785/5 = 157Need help with math question. Please. I’ll give 5 stars
Answers
Answer:
The domain is -11 < x < 4 or in interval notation it is (-11, 4).
Step-by-step explanation:
The domain is the set of possible values of x.
Here the open circles at each end mean that these values are not included.
can anyone help me with this problem with a full explanation?? thank you
Answers
Answer:
1, 3, 5
Step-by-step explanation:
let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then
5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )
5n + 10 = 2(2n + 4) + 3
5n + 10 = 4n + 8 + 3
5n + 10 = 4n + 11 ( subtract 4n from both sides )
n + 10 = 11 ( subtract 10 from both sides )
n = 1
n + 2 = 1 + 2 = 3
n + 4 = 1 + 4 = 5
The 3 consecutive odd numbers are 1, 3, 5
Step-by-step explanation:
let the three consecutive odd number be x + 1 , x + 3 , x + 5
a/q
5 times the middle number = 5(x + 3) is
3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )
so,
= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )
= 5x + 15 = 3 + 4x + 12
= 5x + 15 = 4x + 15
= -4x + 5x = 15 - 15 = 0
= x = 0
so, the 3 consecutive odd numbers are,
x + 1 = 1
x + 3 = 3
x + 5 = 5
and also a/q
5 times the middle number = 5×3 = 15
is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15
LHS = RHS
hope this answer helps you dear...take care and may u have a great day ahead!
PLEASE ANSWER SO I DON’T FAIL THIS
Copy Z DEF to the line so that S is the
vertex.
This task will be complete when you have
constructed an angle with vertex S that is
congruent to ZDEF..
Answers
a. Describe the three ways in which two lines may be related
a. Which of the following is the correct way to relate two lines? Select all that apply.
A. congruent
B. skew
C. parallel
D. intersecting
E. collinear
Answers
NEED HELP! John wrote the numbers 678,901 and 67,890. How many times greater is the value of 7 in 678,901 than the value of 7 in 67,890?A. 10,000B. 1,000C. 100D. 10
Answers
70,000 / 7,000 = 10
HELP ME ASAP!!!!!!
See pic attached
Answers
Step-by-step explanation:
a ) 9 × 2 = 18 → 18 + 3 = 21
o/p = 21
b) 17 - 3 = 14 → 14/2 = 7
i/p = 7
hope this answer helps you dear!
(secA - cosecA)^3+ 3secA.cosecA (secA - cosecA )
bru
Answers
Answer: what?
??????..???
PLS ANSWER QUICKLY!!
Find the value of x and then find EF if E is the midpoint of line segment DF.
DE = 15 - 3x
EF = x + 3
Answers
Answer:
EF=6
Step-by-step explanation:
E is the midpoint, so DE = EF
DE = 15-3x
EF = x+ 3
Since DE = EF,
15 - 3x = x + 3
-4x = -12
x = 3
If x = 3,
DE = 15 - 3*3, 15 - 9 = 6
EF = x+ 3, so EF = 3 + 3 = 6
Which division problem does the number line below best illustrate?
Answers
Answer: A
Step-by-step explanation:
Alex and 3 of his friends are playing in a class math competition. Each player can score up to 10 points per round. Choose the equation or inequality to represent the number of points Alex’s team scores in one round.
A. p = 40
B. p = 30
C. p ≤ 40
D. p ≤ 30
E. p ≥ 40
F. p ≥ 30
Answers
A.p:40 his friends alex
Answer:
the answer is p<40
Step-by-step explanation:
(: ur welcome