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
Can somebody please tell me what 1 1/3+(−5/6) is??
Answers
1/2
Step-by-step explanation:Hi there !
1 1/3 + (-5/6) =
= (1*3+1)/3 - 5/6
= ²⁾4/3 - 5/6
= 8/6 - 5/6
= (8 - 5)/6
= 3/6
= 1/2
Good luck !
Does anyone know the answer? Due Today xD
Answers
Answer:
I believe that the answer is c.
Answer:
C: Kaylee must drive her car on the right side of the road
One car rental company charges $35 for the rental, plus $2 per mile driven. A second rental car company charges $20 for the rental, plus $5 per mile driven. At how many miles will the two companies cost the same?
Answers
Answer:
b
Step-by-step explanation:
For 5 miles will the two companies cost the same.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
One car rental company charges $35 for the rental, plus $2 per mile driven.
A second rental car company charges $20 for the rental, plus $5 per mile driven.
Now,
Let distance for the two companies cost the same is x miles.
Then, for first condition we can formulate;
Total cost for x miles = $35 + $2x
And, For the second condition;
Total cost for x miles = $20 + $5x
So, For distance of the two companies which has cost the same;
$35 + $2x = $20 + $5x
$35 - $20 = $5x - $2x
$15 = $3x
x = 5
Thus, For 5 miles will the two companies cost the same.
Learn more about the expression visit:
https://brainly.com/question/28701545
#SPJ2
Joe borrowed $4,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 4 year?
In 4 years, joe pays $blank
In interest.
Answers
Answer:
He will pay $640 in interest in 4 years.
Step-by-step explanation:
Yearly interest will be $160
because $4,000 x 7% = $160
$160 x 4 years = $640
what is the measure of the complement of JKI? the supplement
Answers
The answer would be 35 and for supplement it would be 125
the femur family has a monthly budget of $5,500. mrs, demir works full time and takes home $4,000 each month. mr. demir earns $16 per hour. how many hours per month must mr. demir work at his part-time.job to.make sure that he and mrs. demir have met their monthly budget?
Answers
Answer:
93.75 hours
Step-by-step explanation:
5500-4000=1500
1500/16=93.75
please help me ill give brainiest to whoever is right i need help asap
Answers
Answer:
73 degrees
Step-by-step explanation:
So first, since there are two lines that are parallel, and there is a transversal, angle a and angle b are supplementary due to same side interior angles.
Next, we make an equation: 6x-35+3x+53=180, and after that you come up with 9x+18=180. Put the numbers on one side and the variables on one side, and since you put 18 on the other side, you have to change it to -18. 180-18= 162.
9x=162. In conclusion, x=18. And to find angle a, plug x in. Therefore, the final answer is 73 degrees
10x - 12 = ??? plz help me out ❤
Answers
Answer:
-120
Step-by-step explanation:
Please help me with this question.
Answers
Answer:
Just draw a line through the dots.
Step-by-step explanation:
multiply the cost times the number of items.
Hope i helped
A 4-column table with 6 rows. Column 1 is labeled x with entries 1.5, 3, 5.5, 6.25, 7, Sigma-summation x almost-equals 23.25.
Column 2 is labeled y with entries 9.5, 17, 34.5, 31, 35, sigma-summation y almost-equals 127.
Column 3 is labeled x squared with entries 2.25, 9, 30.25, 39.06, 49, sigma-summation x squared almost-equals 129.56.
Column 4 is labeled x y with entries 14.25, 51, 189.75, 193.75, 245, sigma-summation x y almost-equals 693.75.
The table shows the relationship between the number of trucks filled with mulch (x) and the number of tons of mulch (y) delivered by a landscaping company. Which regression equation models the data?
y = 4.8x + 3
y = 3x + 4.8
y = x + 20.8
y = 20.8x + 1
Answers
Answer:
C
Step-by-step explanation:
Answer:
a
.
yw babes :)
Suppose the average yearly salary of an individual whose final degree is a master's is $45 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $117 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answers
Answer:
$58500Step-by-step explanation:
let the degree holder earn x
then a masters degree holder earns= (2x-45,000)
the comnined amount of the two degree holders= (2x-45,000)+x
2x-45000+x=117000
3x=117000+45000
3x=162000
x=162000/3
x=$54000
so bachelor'sdegree hold earns= $54000
a masters degree holder earns= (2(54000)-45,000)
a masters degree holder earns= (108000-45,000)
a masters degree holder earns=$63000
the average= (54000+63000)/2
the average= (117000)/2
the average=$58500
What is an equation of the line that passes through the point
(-6, – 7) and is perpendicular to the line 6x + 5y = 30?
HELP!!!
Answers
Answer:
(y+7)=5/6(x+6)
Step-by-step explanation:
For this problem we need to use Point-Slope Form to write an equation.
We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.
First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.
6x+5y=30
5y=-6x+30
y=-6/5x+6
So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.
When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.
x
So the negative reciprocal of -6/5 is 5/6, so that is our slope.
Now we can assemble our equation, here is the Point-Slope Form:
[tex](y -y_{1}) =m(x-x_{1})[/tex]
again, m is our slope.
[tex]y_{1}[/tex] and [tex]x_{1}[/tex] represent the coordinates of the point that this line passes through, (-6, -7).
Let's plug in the y, x, and m values:
(y-(-7))=5/6(x-(-6))
Simplify:
(y+7)=5/6(x+6)
That is our final answer.
what is the range of a function h(w) = 19- 3w if the domain is {-4, -1,2,5}
Answers
The tukmmk;ga#p[kpgrakkgkpkgweODKG\LMA
1+1 is what??? Plz answer
Answers
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Common Sense
Hope it helps???
A school has 500 students and 25 teachers. Which of these statements is true based on this information?
Answers
Answer:
A school has 500 students and 25 teachers
Step-by-step explanation:
(x-2) = (4+x) Please help!!
Answers
Answer:
6
Step-by-step explanation:
im pretty sure im right
amisha sells a cycle to amir at a profit of 10%. amir sells the same cycle to abishekh at a profit of 20%. if abishekh has sold it for rs3300 there by earning a profit of 25%, find the cost price of it for abishekh
Answers
Answer:
CB for Abishekh: 3,300 x 100/125 =2,640
CB for Amir: 2,640 x 100/120=2,200
CB for Amisha: 2,200 x 100/110=2,000
Step-by-step explanation:
Those are some interesting names.
4(x - b) = x
solve for x
Answers
Answer:
x=4b/3
Step-by-step explanation:
Simplify 4(x - b) = x
Then Move all terms containing x to the left side of the equation.
so -4b+3x=0
Add 4b to both sides of the equation.
so 3x=4b
Divide each term by 3 and simplify!
HELP!!!! which graph doesn't NOT pass the vertical line test? Graph 1, 2, 3, or 4. I NEED HELP!!
Answers
Using the function concept, it is found that Graph 1 does not pass the vertical line test.
-----------------------
In a function, each value of the input can only be mapped to one respective output value.If it is mapped to more than one value, it is not a function.In a graph, passing a vertical line, if it crosses the function in more than one point, a value of the input x has more than one corresponding output, and thus, is not a function.The image appended in the end shows that graph 1 does not pass the vertical line test.A similar problem is given at https://brainly.com/question/12463448
(12x – 13) m
(7x + 2) m
(2x + 17) m
E
Answers
Answer:
x = 3
Step-by-step explanation:
Since the 3 angles in the triangle are equal, then the triangle is equilateral.
Thus the 3 sides are congruent.
Equate any 2 of the sides and solve for x, that is
12x - 13 = 7x + 2 ( subtract 7x from both sides )
5x - 13 = 2 ( add 13 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Solve for x: 3(x + 1) = −2(x − 1) + 6
Answers
Answer:
x = 1Step-by-step explanation:
[tex]3(x + 1) = −2(x − 1) + 6[/tex]
Expand the terms in the bracket and simplify
That's
[tex]3x + 3 = - 2x + 2 + 6 \\ 3x + 3 = - 2x + 8[/tex]
Add 2x to both sides of the equation
[tex]3x + 2x + 3 = 2x - 2x + 8 \\ 5x + 3 = 8[/tex]
Subtract 3 from both sides of the equation
[tex]5x + 3 - 3 = 8 - 3 \\ 5x = 5[/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{5}{5} \\ [/tex]
We have the final answer as
x = 1Hope this helps you
(9-4n)(-4)
Need help simplify this plz
Answers
Answer: -36+16n
Step-by-step explanation: Hope this helps!
PLZZZZ HELLLLPPPPPPPPP!!!! *look at the picture*
solve for x
Answers
Answer:
x = 16
Step-by-step explanation:
Since we are looking at 2 vertical angles you would start with:
5x - 2 = 78
+2 +2
-------------------
5x = 80
x = 16
I hope this helps you! :)
In fig if x+y=w+z then prove that AOB is a line.
Answers
Answer:
As Given, x+y=w+z
To Prove: AOB is a line or x+y=180
∘
(linear pair.)
According to the question,
x+y+w+z=360
∘
∣ Angles around a point.
(x+y)+(w+z)=360
∘
(x+y)+(x+y)=360
∘
∣ Given x+y=w+z
2(x+y)=360
∘
(x+y)=180
∘
Hence, x+y makes a linear pair.
Therefore, AOB is a straight line
which multiplication expression is equal to 5/6 divided by 1/2?
Answers
Answer:
5/6 * 2/1
Step-by-step explanation:
What is -3(-2)(1)+???
Answers
What is (8x+5) - (x+4) in simplest terms
Answers
Answer:
7x+1
Step-by-step explanation:
Answer:
7x+1
Step-by-step explanation:
y = - 2x + 4 missing value
Answers
Answer:
Y= -2x+4
X= 1: -2(1) +4 = 2
X= 2: -2(2)+4= 0
X= 3: -2(3)+4= -2
Step-by-step explanation:
espero que esto ayude
Which measure of center is shown in a box plot? mean, median, mode, range
Answers
Answer:
B: Median
Step-by-step explanation:
edg2020
Answer:
B
Step-by-step explanation:
Is -90 a rational number help
Answers
Answer:
yes u can make it a fraction
Answer:
YES!
Explanation:
Rational numbers are all positive and negative numbers and can be written as a fraction.