if ray XV is parallel to line LR, measurement of angle 2 = 2n-4 and measurement of angle 3 = n+1. find the value of n.
Answers
I solved the question using the condition that ray XV is perpendicular (not parallel) to line LR, as shown in the image.
Answer:
n=31°
Step-by-step explanation:
If ray XV is perpendicular to line LR, then the four angles they form are equal to 90°.
We can see that angles 2 and 3 form a right angle, or:
[tex]m\angle 2 + m\angle 3=90^\circ[/tex]
We are also given that:
[tex]m\angle 2=2n-4[/tex]
[tex]m\angle 3=n+1[/tex]
Substituting (get rid of the units):
[tex]2n-4+n+1=90[/tex]
Joining like terms:
[tex]3n-3=90[/tex]
Adding 3:
[tex]3n=90+3=93[/tex]
Solving:
[tex]n=93/3[/tex]
n=31°
Related Questions
if the sides of a rectangle are 12 and 15, then the diagonal is
Answers
Answer:3x41 squared
Step-by-step explanation:
[tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex]
Answers
Answer:
ddsdvffgdf gddccd fddf
Victor is making recipes for smoothies. His first recipe calls for 2 cups of strawberries and 7 cups of other ingredients. His second recipe says that 3 cups of strawberries are combined with 9 cups of other ingredients. Which smoothie recipe has more strawberries compared to other ingredients?
Answers
Answer:
The second smoothie recipe has more strawberries compared to other ingredients
Step-by-step explanation:
Recipe 1:
2 cups of strawberries : 7 cups of other ingredients
= 2/7
= 0.29
Recipe 2:
3 cups of strawberries : 9 cups of other ingredients.
= 3/9
= 1/3
= 0.33
The second smoothie recipe has more strawberries compared to other ingredients
help me plaseeeeeeeeee
Answers
Answer:
it would be b
Step-by-step explanation:
LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!
Answers
Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
plz mark as brainliest!!!!!!!!!!
answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
i just need some help on a few math questions. i'm very bad at math sorry :(
Answers
Answer:
Q1) D
Q2) A
Q3) A
Q4) I'm sorry I can't figure this one out
Q5)2.7
Step-by-step explanation:
The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server?
Answers
Answer:
12.8$
Step-by-step explanation:
20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.
I need help with this please
lx+ 11 l< 17
Answers
For example, |2 + 11| = 13, which is less than 17.
Answer:
x<6 should be the correct answer
1.
p: you pass the class
q: you go to the next grade
p -> ~q:_______________________________
~p->~q:_______________________________
Answers
Answer:
P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.
Step-by-step explanation:
In order to got to the next grade, you need to pass the class.
or
If you pass the class, you go to the next grade.
Drag numbers to complete the table for missing values of x, x2, and x3.
Answers
Answer:
Values are:
x x²
10 100
5
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answers
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answers
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?
Answers
Answer:
0.55x = $27
Step-by-step explanation:
Let the price of the painting = x
x - 45% of x = $27
x - 0.45x = $27
0.55x = $27
Divide both sides by 0.55
0.55x/0.55 = $27/0.55
x = $49.09
4r – 4s+ 4 = - 4
4r + s - 2t=5
- 3r - 3s - 41= -16
Help please
Answers
Answer:
r=-2.00000
s=2.00000
What is the measure of angle F?
A. Cannot be determined
B. 65°
C. 55°
D. 75°
Answers
Answer:
65 degrees since both opposite sides are 10
Answer:
65 degrees
Step-by-step explanation:
Just took the test
Cape Corp. Will pay a dividend of $4.40 next year. The company has stated that it will maintain a constant growth rate of 5 percent a year forever. a. If you want a return of 17 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.) b. If you want a return of 10 percent, how much will you pay for the stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.G., 32.16.)
Answers
Answer:
Step-by-step explanation:
a. If you want a return of 17 percent, how much will you pay for the stock?
The price of the stock can be calculated as:
= dividend next year/(required return - growth rate)
= 4.4/(17% - 5%)
= 4.4/12%
= 4.4/0.12
= 36.67
b. If you want a return of 10 percent, how much will you pay for the stock?
At 10%
= 4.4/(10% - 5%)
= 4.4/5%
= 4.4/0.05
= 88
How do I get the rule
Answers
HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6
A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90
Answers
8/15 = x/6
Using cross multiplication let us find the value of x .
= 15 × x = 6 × 8
= 15x = 48= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )
= x = 3.2
Therefore , the equation that can be used to solve the proportion :-
B. 15x = 48Answer:
its B
Step-by-step explanation:
What is 4 divided by 3/5
Answers
Answer:
20/3 or 6 2/3
Step-by-step explanation: 4/1 times 5/3 multiply and you get 20/3
Answer:
6 2/3
Step-by-step explanation:
plz i need help -8 = p -5
Answers
4
rtbnjtfbu7yhjujkuf. ,i
Mrs. Sing invest $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will mrs. sing substitute for r in the simple interest formula?
Answers
Answer:
The number that she will substitute is 7
Step-by-step explanation:
Mathematically, simple interest can be calculated using the formula ;
S.I = PRT/100
where P is the principal which is the amount invested = $12,876
T is the time which is 3 years
and R is the rate which is 7%
Answer:
Answer:
The number that she will substitute is 7
Step-by-step explanation:
i just took he test
X=square root of y + 1 / y_ 2
Make y the subject.
Can you please solve it..
Answers
Answer:
I think is c
Step-by-step explanation:
Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12
Answers
Answer:
the 2nd and 4th i think
Step-by-step explanation:
I’m pretty sure the answer would be
x(5) =10.
I WILL GIVE 30 POINTS PLEASE Sinorice put $7.200 in a savings account that pays 3.295 interest compounded annually.
After 3 years, he deposited another $5.000 in the account. What is the value of the account
after 8 years?
A $14 98240
B $15.116.25
C $15.596.30
D $16.073.60
Answers
0.333 repeating times 15. Please help me out and answer this question.
Answers
Answer:
4.995
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4):
(a) Reflection: in the y-axis (b) Translation (x,y) —> (x-5,y+7)
A. (4,7)
B. (-5,7)
C. (1,0)
D. (-4,7)
Answers
Answer:
093006570
Step-by-step explanation:
Rut ectjyvtjyhrjtjtj5j6
simply the following (z⁵)²
Answers
Answer:
Z^10
Step-by-step explanation:
Answer:
multiply 5*2=10
your answer will be =z^10
Step-by-step explanation:
DUE 10 MIN PLEASE HELP
show work
Answers
Answer:
10
Step-by-step explanation:
△PQR is rotated 180° about the origin. What is the coordinate for Q' ?
(3, 2)
(2, -3)
(-3, 2)
(-2, 3)
Part: 2
△PQR is reflected across the y-axis. What is the coordinate for R' ?
(-3, -4)
(-4, 3)
(4, -3)
(3, 4)
Answers
Answer:
Part 1:
Q’ = (2, -3)
Part 2:
R’ = (-3, -4)
Hope this helps!
if 3n-4=8 then what is the value of 5n-3
Answers
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17