Answers
Answer:
The values of x and y are x = 95 and y = 25
Step-by-step explanation:
If a quadrilateral is inscribed in a circle which means all its vertices lie on the circumference of the circle, then it is called a cyclic quadrilateral.
The properties of the cyclic quadrilateral
Every two opposite angles are supplementary (the sum of their measures is 180°)The measure of an exterior angle at one vertex equals the measure of the interior opposite angle to this vertexIn the given figure
∵ The four vertices of the quadrilateral QRTU lie on the circle
∴ QRTU is a cyclic quadrilateral
∵ ∠ PQU is an exterior angle of quadrilateral QRTU at Q
∵ ∠RTU is the opposite interior angle to it
→ By using the 2nd property above
∴ m∠PQU = m∠RTU
∵ m∠PQU = 95°
∵ m∠RTU = x°
∴ x = 95
∵ ∠QRT and ∠QUT are opposite angles in the cyclic quadrilateral
→ By using the 1st property above
∴ m∠QRT + m∠QUT = 180° ⇒ supplementary angles
∵ m∠QRT = 110°
∴ 110 + m∠QUT = 180°
→ Subtract 110 from both sides
∴ m∠QUT = 70°
In ΔSQU
∵ ∠ PQU is an exterior angle to the Δ T vertex Q
→ That means its measure equal the sum of the measures of the
two opposite interior angles QSU and QUS
∴ m∠PQU = m∠QSU + m∠QUS
∵ m∠PQU = 95°
∵ m∠QSU = y°
∵ m∠QUS = 70°
∴ 95 = y + 70
→ Subtract 70 from both sides
∴ 25 = y
∴ y = 25
Related Questions
please help I'll mark brainliest
Answers
Answer:
470?
Step-by-step explanation:
I am not fully sure of the answer
Answer: C. 175
Step-by-step explanation:
3s+5s=280
s=35
5s=175
s= price for one shirt
5s=price of jacket
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 * length + 2 * width = 48 Find the length, in centimeters, if the width is 10 centimeters
Answers
Answer:
14
Step-by-step explanation:
2xL + 2x10 = 48
2xL + 20 = 48
2xL = 28
L = 14
Answer:
14
Step-by-step explanation:
yes
[tex] \binom{lim}{x -> 0} \frac{ \sin^{2} (x) }{x} [/tex]
I looked up how to do this, but I just dont understand how the internet explains it, I need a step by step simple explanation on how to do it.
Answers
Answer:
0
Step-by-step explanation:
To solve this without L'Hopital's rule, you need to use this identity:
lim(x→0) (sin x / x) = 1
lim(x→0) (sin²x / x)
lim(x→0) (sin x / x) (sin x)
lim(x→0) (sin x / x) · lim(x→0) (sin x)
1 · 0
0
Alternatively, since plugging in x=0 gets 0/0, we can use L'Hopital's rule. Replace the numerator and denominator with their derivatives.
lim(x→0) (sin²x / x)
lim(x→0) (2 sin x cos x / 1)
0
Is the relationship proportional
Answers
Explanation: none
Approximately how deep below the ground are they capable of digging in meters?
Answers
When x+2 = 1/5y is written in standard form, what is the value or B
Answers
Answer:
B=-1
Step-by-step explanation:
Standard form is Ax+By=C.
In this case, Ax is x, By is 1/5y, and C is +2.
To isolate the 2 (the C), subtract x from both sides of the equation:
x+2=1/5y
-x -x
2=-x+1/5y.
Now, the value of B, the x value, is -1.
PLEASE HELP ANSWER THIS ASAP
Answers
Answer:
B
Step-by-step explanation:
Open circle: < or >
Arrows point outward
Points located at 5 and 18
Answer:
a
Step-by-step explanation:
in how many ways 3 students can be chosen out of a group of 10 students
Answers
Answer:
1 way -1 in each group
2 way- 3 in each group
3 way-2 in one group and 1 in another grop
Can someone explain this me..
Is 27.5 and 11.5 irritation or rational and why
Answers
Answer:
rational because they end
Step-by-step explanation:
Answer:
27.5 and 11.5 are both rational numbers.
Step-by-step explanation:
This is because they do not continue on forever. You know what they are. So numbers like 1, 1.5, 1.234, and 100 are rational. Numbers like pi, 1/3 (1.33333 forever) are irrational.
Which numbers are a distance of 5 units from 3 on the number line?
Write your answer : ___ and ___
Answers
3 + 5 = 8
3 - 5 = -2
-2 and 8
If you have 8 thousandths how many times would you multiply by 10
Answers
Answer:
-3
Step-by-step explanation:
8 thousandths = 0.008
8*10^-3=0.008
can someone please help me with this question
Answers
Answer: 26322
Step-by-step explanation:
321 x 82
Answer:
26,322 is your answer.
Step-by-step explanation:
"The product" is referring to the answer of two numbers that have been multiplied together. Thus the problem is asking you to find [tex]321*82[/tex].
[tex]321*82=26322[/tex]
Click and Answer... plz.. Oreos.
Answers
Triangle: 3
Star: 5
Circle: 1
1 + 4 + 3 + 5 = 13
3 + 5 = 8
1 + 3 + 5 = 9
Hope this helps!
Square: 4
Triangle: 4
Star: 4
Circle:1
1+4+4+4=13
4+4=8
1+4+4=9
Hope this helps..
evaluate a/b for a = -6 and b = -2
Answers
Answer:
if solved correctly, you'll get 3 as your answer
Answer:
The Answer is 3 !
Step-by-step explanation:
Your welcome buddy
2.6 A printer can print 12 color pages in 3 minutes. How many color pages can the printer print in 9 minutes?
Answers
Answer:
36
Step-by-step explanation:
12 times 3 = 36
Alex threw a ball into the air. Its height (in feet) above ground after x seconds is given by f(x) = –2(x – 4) + 23. What's the maximum height of the ball above ground?
A) 29 feet
B) 15.5 feet
C) 23 feet
D) 31 feet
Answers
Answer:
B)15.5
Step-by-step explanation:
1.4 has 2 significant digits as a result of which rule? a. All nonzero numbers are significant. b. Zeros between nonzero digits are significant. c. Final zeros after the decimal point are significant. d. Zeros used solely for spacing the decimal point are not significant.
Answers
Answer:
All non zero digits count in significant digits.
(a) is correct option.
Step-by-step explanation:
Given that,
1.4 has 2 significant digits.
We know that,
Significant digits :
All non zero digits count in significant digits.
All zero which is present in between two significant digits it is also significant.
Leading zero is not count as significant.
Trailing zero is count as significant.
We need to find 1.4 has 2 significant digits as a result of which rule
Using given rules
1.4 has 2 significant digits it is follows the rule of all non zero digits count in significant digits.
Hence, All non zero digits count in significant digits.
(a) is correct option.
A car uses 125 gallons of gasoline to travel 5034 miles. How far can the car travel on 1 gallon of gasoline? please answer :(
Answers
Answer:
I think 40 miles because 5034 divided by 125 is 40.272
Find the value x.
AC=6
CB=2x+10
AB=36
Answers
Answer:
10^2
Step-by-step explanation:
What is the name of this angle
Answers
Answer:
ABC
Step-by-step explanation:
I am pretty sure
Answer:
I think this is an acute angle
Step-by-step explanation:
3. Each month, Arnold receives $1,050 for working part-time at his uncle's camera store.
For each camera that he sells, he earns a $125 bonus. Which equation can be used to
find Arnold's total monthly paycheck, P(x), based on the number of cameras that he
sells, x?
Answers
Answer:
$1,050*125x=P(x). I just need more characters.
Step-by-step explanation:
The equation that represents Arnold's total monthly paycheck is
P(x) = 125x + 1050.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, Each month, Arnold receives $1,050 for working part-time at his uncle's camera store so it is a constant income.
For each camera that he sells, he earns a $125 bonus.
Let P(x) be the monthly check and no. of cameras sold be x.
∴ Arnold's total monthly paycheck P(x) selling x cameras is,
P(x) = 125x + 1050.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ2
I need help i don't get it.
Answers
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Columbus, Ohio:8.25x 10^5
The United States: 3.2*10^8
Answers
Answer:
Omg this is the third time i answered this question, The United States is 387.87 times larger than Columbus, Ohio.
Step-by-step explanation:
8.25 times 100000 = 825,000
3.2 times 100000000 = 320,000,000
320,000,000 divided by 825,000 = 387.87
writing equations of lines
Answers
Answer:The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
Step-by-step explanation:
Step-by-step explanation:
step 1 pick two pionts
step 2 find slope rise over run
step 3 plugin all info into y=mx+b form ex 1=2(6)+b
step 4 solve for b
step 5 write your equation
What is the sum of the measures of the interior angles of the decagon?
Answers
Given parameters:
Number of sides of the regular body = 10
A decagon has 10 sides.
Unknown:
Sum of the measures of the interior angles = ?
Solution;
To find the sum of the interior angles of a decagon; use the expression below:
Sum of interior angles = (n - 2) x 180
where;
n = number of sides;
So,
Sum of interior angles = (10 - 2) x 180 = 1440°
The sum of interior angle of a decagon is 1440°
4) Oceanside Bike Rental Shop charges $17 plus $6 an hour for renting a
bike. Tim paid 59 dollars to rent a bike. For how many hours did he check
out the bike?
Answers
Answer:
It is 7
Step-by-step explanation:
y = mx+b
y is the total cost.
x is the number of hours.
b : that's 16 dollars.
y = 9x+16
The problem states that the cost was 79 dollars.
Substitute that for y and solve for x.
79 = 9x+16
63 = 9x
x = 7 hours
What’s the answer and the step by step to solve for it
Answers
Divide 425 by 2 = 212.5 $
Explanation: I divided the money to 4 quarters.
The first person will pay 3/2 or 150% of the money then
425+212.5= 637.5 $
And the second person will pay
850-637.5= 212.5 $ which is a quarter of the money .
I hope this helped :)
Plss help if can!! Thanks!
Answers
Which graph shows the result of dilating this figure by a factor of 4 about the origin?
Answers
B is the answer just took the test
They need to raise $1,680 for travel expenses. Each chocolate bar is being sold for $2, and each box contains 30 chocolate bars. There are seven scholars on the team and they agree to each sell the same number of boxes. How many boxes will each scholar have to sell in order to raise enough money to cover the team's travel expenses?
Answers
Answer:
Each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
Step-by-step explanation:
Let x denotes number of boxes to be sold by each scholar to raise enough money to cover the team's travel expenses.
Number of scholars = 7
Total number of boxes [tex]=7x[/tex]
Total number of chocolate bars [tex]=(7x)(30)=210x[/tex]
Price of 1 chocolate bar = $2
Price of [tex]210x[/tex] chocolate bars [tex]=210x(2)=\$420x[/tex]
Also,
Total amount to be raised for travel expenses = $1680
So,
[tex]1680=420x\\x=\frac{1680}{420}\\ x=4[/tex]
Therefore,
each scholar have to sell 4 boxes in order to raise enough money to cover the team's travel expenses
