In ANOP, NP is extended through point P to point Q,
mZOPQ = (6x – 15)°, mZPNO = (2x + 18)°, and
mZNOP = (2x – 13). What is the value of x?
Answers
Answer:
x = 10
Step-by-step explanation:
Form the information given, we can deduce that:
m<OPQ is an exterior angle of ∆NOP = (6x - 15)°
m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.
Therefore, based on the exterior angle theorem:
m<OPQ = m<PNO + m<NOP
(6x - 15)° = (2x + 18)° + (2x - 13)°
Solve for x
6x - 15 = 2x + 18 + 2x - 13
6x - 15 = 4x + 5
6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)
2x - 15 = 5
2x - 15 + 15 = 5 + 15 (addition property of equality)
2x = 20
2x/2 = 20/2 (division property of equality)
x = 10
Related Questions
Sixty-eight percent of tickets of a particular football team are owned by season-pass holders. At a recent game, the home team decides to have a raffle where 100 seats in the stadium are randomly selected, and the people with the tickets to those seats will each receive a free team shirt. Seventy-three percent of those selected were season-pass holders.
Which statement is true?
68% is the parameter, and 73% is the statistic.
73% is the parameter, and 68% is the statistic.
68% is the population, and 73% is the sample.
73% is the population, and 68% is the sample.
Answers
Answer: 68% is the parameter, and 73% is the statistic.
Step-by-step explanation:
I got it right
This equation shows how the amount of cheese Hannah has left is related to the number of
sandwiches she makes.
C = -5s + 67
The variable s represents the number of sandwiches she makes, and the variable c
represents the amount of cheese remaining. How many sandwiches can Hannah make, at
most, and still have 52 pieces of cheese left?
sandwiches
Submit
Answers
Answer:
3 sandwiches
Step-by-step explanation:
if she has 52 pieces of chees left,
C = 52
52 = -5s + 67
solve for s
-5s = -15
s = 3
The scatter plot below shows the relationship between years of education and income for a representative sample of adults. Which of the following is the best estimate of the average change in a person's income that is associated with going to school for an additional year?
Answers
Answer:
the answer is D also known as $7000
Step-by-step explanation:
Answer:
The answer is D 7000
Step-by-step explanation:
Find the value of x if C= AE
Answers
Answer:
x=11°
Step-by-step explanation:
If we stretch line segment B(and use the theorem of same side interior angles) we see that 2x+33°=5x
5x-2x=3x
33°=3x
x=11°
Answer:
x = 11
Step-by-step explanation:
55-22=33
all these numbers are multiples of 11
The soccer club has planned a trip to a tournament. The cost of the van is
$210. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $5.83. How many soccer club
members are going to the tournament?
O A. -12,9
O B. -12
O C. 9
O D. 12
Answers
The number of members going to the tournament is 9(optionC)
What are word problemsWord problem are mathematical problems written and words or sentence. To solve this type of problem we need to interpret the problem into mathematical equation.
Represent the number of members of the club by x and the cost per person be y. The total cost for the trip is $210
therefore 210/x = y equation 1
When 3 students join, the cost per person drops by $5.83
210/(x+3 )= y - 5.83
y = 210/(x+3 )+5.83
210/x = 210/(x+3) + 5.83
multiply all terms by x(x+3)
210(x+3) = 210x + 5.83(x²+9)
210x +630 = 210x + 5.83x²+52.47
630-52.47 = 5.83x²
577.53 = 5.83x²
x²= 577.53/5.83
x² = 99.06
x =✓99.06
x = ± 9.95
since 0.95 is not Up to a person and number of persons is a specific value, then the number of members going for the tournament is 9
learn more about word problem from
https://brainly.com/question/21405634
#SPJ1
Solve 3[-X + (2 x + 1)] = x-1.
Answers
Answer:
x=-2
Step-by-step explanation:
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]3[-x+(2x+1)]=x-1[/tex]
[tex]-3x+3(2x+1)]=x-1\\-3x+6x+3=x-1\\3x+3=x-1\\2x+4=x\\2x+4=0\\2x=-4\\x=-2[/tex]
Show that b^2 is greater than equal to or less than ac, according as a, b, c are in A.P., G.P.
Or HP
arithmetic mean is 25 and geometric mean is 20.
Answers
Answer/Step-by-step explanation (ac > b² or b² < ac. )
A/c to question, we have to show:-
b² >ac in A.P ........ (1)
b² = ac in G.P .....(2)
b² < ac in H.P. ..... (3)
b = a+c/2 (A.P)
b = √ac ( G.P)
b = 2ac/a+c (H.P)
In A.P :
b² > ac = b² - ac
= (a+c/2)² - ac
= (a²+2ac+c²/4) - ac = a² + 2ac + c² - 4ac / 4
= a² - 2ac + c² / 4 = ( a - c ) ² / 4 > 0 Hence, b²>ac
In G.P:-
b = √ac
Hence, b² = ac
In H.P :- b² < ac = ac > b² = ac - b² = ac - ( 2ac / a+c)
= ac(a+c) - 2ac / a+c
= a²c + ac² - 2ac / a+c
= ac(2ac - 2) / a+c > 0
Hence, ac > b² or b² < ac.
1. The dash triangle always has altitude outside itself.
Answers
Answer:
The ______ triangle always has altitude outside itself.
0.123 ROUNDED OFF TO THE NEAREST WHOLE NUMBER IS...
Answers
what is the value of the function y = 3/4x - 5 for x = -4
Answers
Answer:
y= 5.33333
Step-by-step explanation:
i think this is right DON'T MARK BRAILIST
4 people can paint a house in 6 hours
a)how long will it take 1 person to paint a house
b)how long will it take for 3 people to paint a house
Answers
Answer:
a
Step-by-step explanation:
Answer:
a is your answer hope this helps :)
Step-by-step explanation:
write one way to read the expression 1/4×(48+8)
Answers
Answer:
14
Step-by-step explanation:
= 1/4(56)
= 14
step by step
2. The ratio of boys to girls in Spanish class is 2:4. If there are 24 total students in class, how many boys and
girls are there?
Boys
Girls
Answers
Answer:
there are 8 boys and 16 girls
hope this helped :-)
Step-by-step explanation:
24:4=6
6+2=8
8+8=16
8:2=4
8+8+4+4=24
4+4=8
udy Guide
The difference between 3 times a number x and 2 is 19. What is the value of x?
Answers
PLZ HELP ME I BEG OF YOU!?!?!
Answers
3 - 7 = -4
Why?
7 is a bigger number than 3 which makes the answer a negative number.
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
that is a number line and if you start from 3 and go back 7 spaces it would be -4.
In conclusion,
-4 is the absolute value of 3 - 7.
Please solve 8÷ 1/6 with an explanation, any false information or jokes will be reported.
Answers
Answer:
48
Step-by-step explanation:
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
81×61=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
8×61×1=481
Since 48 divided by 1 equals 48 then,
481=48
Therefore:
81÷16=48
hope this helps
16 ??
What is the additive inverse of
OA 16 17
OB. -16
JIOT
Oc. -16
A
OD.
-16
Answers
last math question. pls help
Answers
Step-by-step explanation:
H² = 12² + 5²
H² = 144 + 25
H² = 169
H = √169
H = 13
Sin © = 5 / 13
16 - 2x = x - 8
Help
Answers
Answer:
x=8
Step-by-step explanation:
-2x + 16 = x - 8
Take away 16 from both sides
Simplify
-2x - x = x - 24 - x
-3x = -24
Divide both sides by -3
X = 8
Which expressions have a value of 128 when x = 4? Type your answer
choices in the box below. Click on the box by your answer.
A.
NIX
B.
C.
(2x)
D.
4x3
E.
8x2
Answers
( not a question this is a answer ) What number is 20% of 40? =8
Numerical Answers Expected!
Answer for Blank 1: 8
Answers
Answer:
Step-by-step explanation:
b
what is the slope of a vertical line?
Answers
Answer:
undefined
Step-by-step explanation:
Can some one please help me
Answers
Answer:
A
Step-by-step explanation:
The y-intercept is where the line meets the y axis
To do this x has to =0
Your table tells you that when x=0 y=6
this means that 6 is the y intercept
The answer is A
Answer:
the first one
Step-by-step explanation:
slope formula: y2-y1/x2-x1
12-6/3-0
6/3
2
slope=2
from the table, you know the y-intercept is 6
(sorry that took so long. I was distracted by an epic anime fight scene)
I don’t understand this problem
Answers
Answer:c
Step-by-step explanation:When you see that it means you need to find square root .That the symbol for square root.
Answer:Your answer is b because
Step-by-step explanation:
Sally has 1/2 yard of ribbon. How many 1/6 yard pieces can she cut?
Answers
Explanation: To find this, you convert 1/2 into 3/6 by multiplying the numerator and denominator by 3. The numerator is your answer.
ratio of 25 cm : 15m
answer fast
Answers
Answer:
soln
1m= 100cm
25cm÷15m×100cm
25cm÷1500cm
60:1
is a answer
Step-by-step explanation:
hope you like my answer
Hope this helps!
Help me with this question please I’m confused!!!
Answers
Answer:
The answer is 273/64. In decimal form it is 4.109375 Good luck!
Small baskets of tomatoes are sold at a stand for S3 per basket. Large baskets of tomatoes are
sold at the stand for $5 per basket. A customer purchases a total of 8 baskets of tomatoes and
pays $36.
Write and solve a system of equations that models the number of small baskets (x) and the
number of large baskets (y) that the customer purchases. Show or explain all your work.
Answers
Answer:
x = 2, y = 6
Step-by-step explanation:
Hi there!
The equation for the cost of baskets of tomatoes can be represented as
3x+5y = 36
The number of baskets can be represented as
x + y = 8
I will be using the substitution method for this question.
First, we have to solve for a variable. X will be easiest in this case.
Multiply the bottom equation by -3 to cancel out 3x and -3x.
Your equation will become [tex]-3x - 3y = -24[/tex]
After the x values are cancelled out, add the values from the top equation into the values of the bottom equation.
this becomes [tex]2y = 12[/tex], or y = 6.
Now that we know the y-value, plug it in either original equation to find x.
x = 2
HELO URGENT WILL GIVE BRAINLIEST IF CORRECT
Answers
Circle
Explanation:
Hope this helps
The basketball team will need 196 fluid ounces of Gatorade for their tournament. How many cups will this equal?
Answers
Answer:
24.5
Step-by-step explanation: