Answers
Given:
The diagram.
To find:
(a) [tex]m\angle SQT[/tex]
(b) [tex]m\angle QRW[/tex]
(c) [tex]m\angle PRV[/tex]
Solution:
(a)
If two lines intersect each other at a point, then the vertically opposite angles are equal.
[tex]m\angle SQT = m\angle PQR[/tex] (Vertically opposite angles)
[tex]m\angle SQT = 36^\circ[/tex]
Therefore, the measure of angle SQT is 36 degrees.
(b)
If a transversal line intersect two parallel lines, then the alternate interior angles are equal.
[tex]m\angle QRW = m\angle PQR[/tex] (Alternate interior angles)
[tex]m\angle QRW = 36^\circ[/tex]
Therefore, the measure of angle QRW is 36 degrees.
(c)
It is given that the angles PRV and angle PRQ are congruent.
Let the measures of angle PRV and angle PRQ are x degrees.
[tex]m\angle PRV+m\angle PRQ+m\angle PQR=180^\circ[/tex] (Adjacent interior angles are supplementary)
[tex]x+x+36^\circ=180^\circ[/tex]
[tex]2x=180^\circ -36^\circ[/tex]
[tex]2x=144^\circ[/tex]
Divide both sides by 2.
[tex]x=\dfrac{144^\circ}{2}[/tex]
[tex]x=72^\circ[/tex]
Therefore, the measure of angle PRV is 72 degrees.
Related Questions
Predict how many times you will roll a number less than 4 if you roll a standard number cube 200 times.
Round to the nearest integer, if necessary.
times.
You will roll a number less than 4 about
Answers
Answer:
100 times
Step-by-step explanation:
you have a 3/6 chance of rolling less than 4 once
so you multiply 3/6 times 200- you get 600/6
you simplify 600/6 to 100
100 times is the answer.
Have a fantasical day.
BEST ANSWER GETS BRAINLY
Answers
Answer:
The first answer choice is correct
Step-by-step explanation:
i think it’s a.
What value of x makes 6x + 5 equal to 12?
Answers
Answer:
x = 7/6
Step-by-step explanation:
6x+5 = 12
Subtract 5 from each side
6x+5-5 = 12-5
6x = 7
Divide each side by 6
6x/6 = 7/6
x = 7/6
Answer:
x=7/6
Step-by-step explanation:
6x+5 = 12
subract 5 from both sides
6x = 7
divide by 6 on both sides
x=7/6
If a bag has 12 red marbles, 13 green marbles, and 5 blue marbles, what is the probability that in one draw you will NOT select a red marble?
Answers
Answer: 3/5 or 60% chance of not drawing red
Step-by-step explanation:
12 red
13 green
5 blue
30 total
30 - 12 = 18
so 18/30 or 3/5
what is the answer to 4x-3=37
Answers
Answer:
4x - 3 = 37
+3 +3
4x = 40
Divide by 4 on both sides:
X = 10
Step-by-step explanation:
x=10
.......................
HOw do I find the range of a funtion
Answers
because you start off with no pairs of waited plates, then add them (Which is 20 for both) and that is the range
What is the perimeter of thsi shape ??!
Answers
Answer:
D. 180 mm
Step-by-step explanation:
At the bottom of the shape, we can see the base is 60mm. The next side(left or right) is shown as 20mm. The next side right before the missing piece is 20mm. The width of the missing piece is 10mm. The length of the missing piece is 20mm because:
20 + 20 = 40
60mm - 40mm = 20mm
60mm + 20mm + 20mm + 10mm + 20mm + 10mm + 20mm + 20mm
180 mm
60
What is the sum of the series E3n?
Answers
The solution is Option D.
The sum of the arithmetic sequence is 5,490
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the sum of the arithmetic progression be represented as S
Now , the number of terms n = 60
Let the first term be a₁ = 3n , when n = 1
a₁ = 3
Now , the second term a₂ = 3n , when n = 2
a₂ = 6
So , the common difference of the arithmetic sequence d = second term - first term
d = 6 - 3
d = 3
Now , the sum of the first n terms of the sequence is
Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Substituting the values in the equation , we get
S₆₀ = ( 60/2 ) [ 2 ( 3 ) + ( 60 - 1 ) ( 3 ) ]
On simplifying the equation , we get
S₆₀ = 30 [ 6 + 59 ( 3 ) ]
S₆₀ = 30 [ 6 + 177 ]
S₆₀ = 30 ( 183 )
S₆₀ = 5490
Therefore , the value of S is 5,490
Hence , the sum of the arithmetic sequence is 5,490
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A 6-foot tall man has a 9-foot shadow. At the same time, a tree he is standing next to has a 30-foot shadow.
A. 20 ft
B. 27 ft
C. 45 ft
D. 21 ft
E. 24 ft
Answers
Answer:
A.20 ft
Step-by-step explanation:
the shadow is double the height of the object.
PLEASE HURRY!!!
NO LINKS OR FILES, JUST THE CORRECT ANSWER AND I WILL GIVE BRAINLIEST IF THERE ARE ANY LINKS I'LL REPORT YOUU
Answers
Answer:
so the 2 questions i see are surveys so... you have to answer them with truth on your own self
Step-by-step explanation:
Answer:
hi i am the person that you are talking to with all the comments give him brainliest
Step-by-step explanation:
PLEASE HELP
I am quite confused
Answers
C= 7h+125 The Equation above keeps the amount CN dollars an electrician charges for a job it takes eight hours Miss Sanchez and Mr. Online each hired this electrician the electrician worked two hours longer on the Sanchez job then on Mr. Ronald trump how many more did the electrician charge Miss Sanchez than Mr.Roland and
Answers
Answer:
$14
Step-by-step explanation:
The total amount, C charged by an electrician for h hours of work is ;
C= 7h+125
If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:
From the equation :
C= 7h+125
The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.
For 2 more hours of work :
Additional amount = 7h ; h = 2
7h = 7 * 2 = 14
Hence, Mrs Sanchez pays $14 more.
Can you please help me out????
Answers
Answer: B.) 19.6 feet.
Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.
Label: AC=6 ft, m<A=73° and <C is a right angle.
Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.
Step-by-step explanation:
Use the dropdown to complete the following inequality
Answers
Answer:
c+2<1
Step-by-step explanation:
Since c is located slightly less than -1, and -1+2 = 1; then adding 2 to c would make it slightly less than 1.
Which statement is true about this data set?
{70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
80 is an outlier because it is greater than the upper fence.
This data set has no outliers.
65 and 80 are both outliers because 65 is less than the lower fence and 80 is greater than the upper fence.
65 is an outlier because it is less than the lower fence.
PLS HELP I WILL GIVE Brainliest
Answers
Answer:
Option 3 - This data set has no outliers.
Step-by-step explanation:
Given : The data {70, 67, 66, 65, 66, 78, 68, 71, 80, 78, 72}
To find : Which statement is true about this data set?
Solution :
The statements is all about outlier.
So, we find the outlier of the data.
Step 1- Arranging the data from lowest to highest,
{65,66,66,67,68,70,71,72,78,78,80}
Step 2 - Find the median of the data
As the data is odd numbers so the median is th term.
term.
6th term is 70 ⇒ Median =70
Step 3 - To find Upper quartile and lower quartile
Lower quartile data set is the median of the upper terms from median
{65,66,66,67,68}
Median of the set is 66
∴
Upper quartile data set is the median of the lower terms from median
{71,72,78,78,80}
Median of the set is 78
∴
Step 4 - To find the interquartile range.
Step 5 - To find the fences for the data set.
The formula to find range is
Substitute the values, we get
The range in which data lies is [48,96]
We have seen that all the data lie inside the range.
Therefore, This data set has no outliers.
Hence, Option 3 is correct.
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A shipping box is in the shape of a rectangular prism. It has a volume of 9,000 in.3, and the dimensions of the base are 20 in. by 30 in. What is the height of the box?
15 in.
20 in.
300 in.
600 in.
ITS NOT 20 I TOOK THE TEST AND GOT IT WRONG
Answers
Answer:
15 in.
Step-by-step explanation:
Volume of rectangular prism = length × width × height
Length = 30 in
Width = 20 in
Height = x
Volume of rectangular prism = 9000 in³
Volume of rectangular prism = length × width × height
9000 = 30 × 20 × x
9000 = 600x
x = 9000/600
x = 15 in
Answer:
15
Step-by-step explanation:
the formula of finding the volume of a rectangular prism is base times height. the base dimensions are 20*30 so its 600 square inches, 9000/600=15.
Mackenzie surveys 80 of her classmates and finds that 85% of them like sports. She also finds that 75% of her 84 relatives like sports. How many
more of her classmates like sports as compared to her relatives?
Answers
80 of 85%
80 times 85/100 = 68
Relatives
84 of 75%
84 times 75/100 = 63
68-63 = 5 more of her classmates like sports than her relatives
Mrs. Benton Treats herself to her today at the nail salon swan. The services she receives arm manicure for $25 and a pedicure for $30 she ask for a special nail polish that cost five dollars extra she decides to leave a 30% tip which expression can we use a calculator the tip
Answers
To calculate the tip 0.30(60) which equals 18
angie needs 8 cups of oliv oil to make a recipe if olive oil costs $4.00 a pint how much money will she need to buy the olive oil
Answers
Answer:
i have tht too but i dont know the answrr :(
Step-by-step explanation:
$35,200 at 2% for 2 years
Answers
Answer:
Um 1408
Step-by-step explanation:
2% of 35,200 is 704 and 304*2= 1408
Answer:
36622.80
Step-by-step explanation:
I don't know how to do it I used an app on my phone
Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. Fred spun the spinner 500 times. Which of
the following would be a good estimate of the number of times the spinner lands on the green section?
Answers
Answer:
125 times ..................... but it's not their so c is correct
Which point on the number line has the least absolute value?
Answers
Answer:
P
Step-by-step explanation:
The least absolute value is what number is closest to zero.
HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4
Answers
Option B is correct, the values of p and q in expression are -3 and 4.\
The given expression is x²+x-12.
This is expressed as (x+p)(x+q)
We have to find the values of p and q.
x²+x-12
Let us factorize the expression:
x²+4x-3x-12
x(x+4)-3(x+4)
(x-3)(x+4)
When we compare this with (x+p)(x+q) we get:
p=-3 and q=4
Hence, the values of p and q in expression are -3 and 4.
To learn more on Expressions click:
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I WILL GIVE BRAINLIEST PLS HELP!
Melissa and Jaime are playing a game in geometry class. Melissa draws the shape below on plain white paper and has to give Jaime directions to draw a congruent shape.
I. The location of each vertex on a coordinate plane
II. The shape is a triangle. Its two longest sides measure 6 inches and 3√3 inches.
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Which of the following descriptions of Melissa's triangle is adequate for Jaime to draw a congruent shape?
Answers
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.
So, by AAS criteria it would be congruent.
---------------------------
hope it helps...
have a great day!!
Answer:
III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches
Step-by-step explanation:
hope it helps you...
Help please I will give brainlestttttt
Answers
Answer:
A
Step-by-step explanation:
hope this helps
-2x - 8 > 14
add 8 to 14 and get 22
-2x > 22
then divide 22 by -2 and get x < -11
An investment doubles its value in 3 years. A) what is the average rate of change in the value of this investment over the 3 year period? B) what continuously compounded interest rate would yield this return?
Answers
A bird sanctuary has 14 bags of bird seed. Each bird feeder holds 1/6 of a bag. How many bird feeders can be filled with the bird seed?
Answers
Answer:
84 bird feeders can be filled
Step-by-step explanation:
Considering there is 14 bags, all you'd have to do is see how many bird feeders can be filled... and to do that, just multiply 14 x 6, because it every bag fills up 6 feeders. 14 x6 =84 bird feeders can be filled.
What is the area of the parallelogram?
36 m 2
18 m 2
24 m 2
72 m 2
Answers
Answer:
I would need the picture please
Step-by-step explanation:
Thank you! Let me know when you've added the question!
You can just give me the height and base.
PLSSS HELP ASAP WILL GIVE BRAINLIEST
Solve by completing the square: 5x² + 20x + 32 = 0
Answers
Answer:
5x2 + 20x + 32 = 0 - 16977324
Step-by-step explanation:
Write a rule for the n th term of the sequence for which az = 4 and r= 2.
=
Answers
Answer:
Step-by-step explanation:
The general form for a geometric sequence is:
a
n
=
a
1
⋅
r
n
−
1
With this, you can write a system of equations:
a
2
=
a
1
⋅
r
2
−
1
a
5
=
a
1
⋅
r
5
−
1
2
=
a
1
⋅
r
1
0.25
=
a
1
⋅
r
4
r
4
r
1
=
0.25
2
r
3
=
0.125
r
=
0.5
Now, find the first term.
a
2
=
a
1
⋅
0.5
1
2
=
a
1
⋅
0.5
a
1
=
4
Using the formula stated above, we get:
a
n
=
4
⋅
0.5
n
−
1