A side of the triangle below has been extended to form an exterior angle of 164". Find
the value of x.
1649
Answers
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
[tex]x^\circ+53^\circ=164^\circ[/tex]
[tex]x^\circ=164^\circ-53^\circ[/tex]
[tex]x^\circ=111^\circ[/tex]
[tex]x=111[/tex]
Therefore, the value of x is 111.
Related Questions
what is the simplified expression for this ?
Answers
Answer:
I think it is 14.1421356237. I needed you can round it down to 14.14.
g(x) = 3(x - 8) Find g(-2)
Answers
Answer:
Step-by-step explanation:
if g(x)=3x-8
replace x with -2
g(-2)=3(-2)-8=-6-8=-14
What is the distance between the points R(5, 7) and S(-2, 3)?
Answers
Answer:
Step-by-step explanation:
D
The distance between points is √65.
What is distance?The length of the line that connects two points is the distance between them. The distance can be determined by subtracting the coordinates that are not the same if the two points are on the same horizontal or vertical line.
The distance formula is used in analytic geometry to determine the distance between two lines, the sum of the lengths of all sides of a polygon, the perimeter of polygons on a coordinate plane, the area of polygons, and a variety of other measurements.
Given coordinates
R(5, 7) and S(-2, 3)
to find the distance between
the formula of distance for coordinates is
d = [tex]\sqrt{(y_{2} - y_{1} )^{2} + (x_{2} - x_{1} )^{2} }[/tex]
here y₂ = 3, y₁ = 7
x₂ = -2, x₁ = 5
substitute value in equation we get
d = [tex]\sqrt{({3 - 7 )^{2} + (-2 - 5 )^{2} }[/tex]
d = [tex]\sqrt{({-4 )^{2} + (-7 )^{2} }[/tex]
d = √(16 + 49)
d = √65
Hence the distance is √65.
Learn more about distance;
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The auditorium holds 200 people. Tickets cost $12 at the door and $8.50 if purchased in advance. The Honor Society has a goal of selling at least $1000 worth of tickets to the show.
Write a system of inequalities that can be used to model this scenario.
If 50 tickets are sold in advance, what is the minimum number of tickets that must be sold at the door so that the club meets its goal?
Answers
Answer:
they have to sell 575 tickets so they could reach their goal.
Animal Kingdom - You won the lottery and decided to buy all of the cats and dogs at a shelter and let them all roam free on a farm. You forgot to ask exactly how many dogs and how many cats they were giving you, but you know that there are 152 animals altogether and there are 3 times as many dogs as there are cats. Write an equation to find out the number of dogs and cats and then solve it.
Answers
Answer:
3x=152
Step-by-step explanation:
You know that there are 152 animals intotal so that goes at the end. if we say that the dogs are x because we dont know how many there are, then there are 3 times more cats then there are x.
An object flies 450 m/s. How many meters will is
travel in one hour?
Answers
Answer:
1,620,000 meters
Step-by-step explanation:
Speed- 450 meter----- 1 second
1 minute = 60 seconds
60 minutes (1 hour) = 3600 seconds
Distance in 1 hour
1 ------ 450
3600---- X
X= 3600 x 450
x= 1,620,000 meters
PLEASE HELP ME!!!!
The graph below shows the price of different numbers of cans of beans at a store:
The graph below shows the price of different numbers of cans of beans at a store:
Which equation can be used to determine p, the cost of b cans of beans? (5 points)
p = 9.50 + b
p = 9.50b
b = 9.50 + p
b = 9.50p
Which equation can be used to determine p, the cost of b cans of beans? (5 points)
p = 9.50 + b
p = 9.50b
b = 9.50 + p
b = 9.50p
Answers
Answer:
a
Step-by-step explanation:
What is standard deviation for 110 120 120 130 140 140 150 160 160 170
Answers
Answer:
Standard Deviation (cont’d)Weights(pounds):110 120 130 140 150 150 160 170 180 190Deviation scores(x) forM = 150:-40 -30 -20 -10 0 0 10 20 30 40 Squared deviation scores(x2):1600 900 400 100 0 0 100 400 900 1600Sum of squared deviation scores:1600+900+400+100+0+0+100+400+900+1600 = 6000SD= √(6000/(N-1) = SD= √(6000/(9) = 25.82Standard Deviation Interpretation•Provides a “standard”—the SDindicates the average amount of deviation of scoresfrom the mean•Tells you how wrong, on average, the mean is•An SDprovides valuable information when the distribution is normal:–There are approximately three SDsabove and below the meanin a normal distribution•In a normal distribution, a fixed percentage of cases lie within certain distances from themeanSDs and Individual Scores•A person who scores one SDbelow the mean has a higher score than 16% of the cases (2.3% + 13.6%)•A person who scores one SDabove the mean has a higher score than 84% of the cases (50.0% + 34.1%)Example: Midterm marks:
help help help PLS TY
Answers
Write a unit rate for the situation.
$100 donated for every 5 volunteers
PLZZZ I NEED HELP
Answers
Answer:
50 dollors
Step-by-step explanation:
if a 6-kg bowling ball is rolled down the bowling lane with a velocity of 3.5m/s what is the momentum of the ball. show can you please use the formula p=M x V. And can you show me how to do it.
Answers
Answer:
Hello, and I would like to help you. Would you mind if I just gave you the answer? If you would like me to explain say so in thec h a t
if you just want the answer tell me in c h a t I can always edit my answer.
Step-by-step explanation:
9 + 10 HURRY UP ASAP!1!!!!!!!!!!
Answers
Answer:
19
Step-by-step explanation
adding 9+10 makes 19
2. Find the distance between the two points on the coordinate plane given below.
Answers
What value of m would make the expression below simplified to 6x
Answers
Tickets to an outdoor concert cost $15 for general admission tickets and $25 for VIP tickets. Ticket sales totaled $4500. Write an equation that models this relationship. Let x = the number of general admission tickets sold Let y = the number of VIP tickets sold
Answers
Answer: 15x + 25y = 4500
Step-by-step explanation:
The cost per general admission tickets is $15 and if x is used to represent the number of general admission tickets then 15 has to be multiplied by x and that gives the expression 15x
The same with the VIP tickets, each one cost $25 and y is used to represent the number of VIP tickets sold, so if you want to find out how much a number of VIP tickets cost then you will have to multiply 25 by y and that derives the expression 25y.
A combination of both tickets has to equal $4500 because that is amount they were both sold to get in total.
15x + 25y = 4500
What is the quotient of (x cubed + 3 x squared minus 4 x minus 12) divided by (x squared + 5 x + 6)?
Answers
Answer:
x – 2
Step-by-step explanation:
Answer:
B. x-2
Step-by-step explanation:
Simplify the expression
6s-6s=?
Answers
Answer:
0
Step-by-step explanation:
6-6=0 so when you multiply s by 0 its 0
write two numbers that multiply on top and add to the volume on bottom.
Answers
Answer:
-3*9=27
-3+-9=-12
Step-by-step explanation:
hope it helps
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.75 per mile. Katie has no more than $10 to spend on a ride. How many miles can Katie travel without exceeding her limit?
Answers
Answer:
11 miles
Step-by-step explanation:
10-1.75=8.25
8.25÷.75=11
help me fast for brainiest!
Answers
I hope this helpss!!!
40 is what percent of 50?
%
5
%
4
90%
80%
Answers
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
50 times .8 aka 80 percent is 40
Consider the rectangle enlargement. Pls answer the three questions I will mark brainliest!!
Answers
Answer:
Perimeter of the original Rectangle is2(4.5+4.3)=2×8.8= 17.6 mm
Side length of the enlarged rectangle is[tex] \frac{4.5}{4.3} = \frac{24.3}{x} \\ x = \frac{24.3 \times 4.3}{4.5} \\ \boxed{x = 23.22 \: mm}[/tex]
Perimeter of the enlarged rectangle2(24.3+23.22)= 2×47.52= 95.04 mm
Can i have some help please
Answers
Answer:
C) [tex] -1\frac{5}{8}x + 3 [/tex]
Step-by-step explanation:
[tex] \frac{1}{2}(\frac{3}{4}x + 10) - 2(x + 1) = [/tex]
[tex] = \frac{3}{8}x + 5 - 2x -2 [/tex]
[tex] = \frac{3}{8}x + 5 - \frac{16}{8}x - 2 [/tex]
[tex] = -\frac{13}{8}x + 3 [/tex]
[tex] = -1\frac{5}{8}x + 3 [/tex]
Answer: C) [tex] -1\frac{5}{8}x + 3 [/tex]
I need helppppp with this please
Answers
i need help with that tooooo
2(x-6)+3x+4=
Helpppppp.
Answers
Answer:
5x + (-8)
Step-by-step explanation:
2(x-6)+3x+4=
Distribute:
(2)(x)+(2)(−6)+3x+4
=2x+−12+3x+4
Combine Like Terms:
(2x+3x) + (-12+4)
= 5x+(-8)
What number is 40% of 160?
Answers
Answer:
64
Step-by-step explanation:
Jamaican sprinter Usain Bolt 100 m sprint gold medal in the 2012 Summer Olympics Iran the hundred meter race and 9.63 seconds there are about 3.28 feet in a meter and 5280 feet in a mile what was used on Ballz average speed for the hundred meter race in miles per hour
Answers
Answer: 23.2 miles per hour
Step-by-step explanation:
He ran 100 meters in 9.63 seconds.
First convert the number of meters he ran to miles:
= 100 * 3.28
= 328 feet
= 328/5,280
= 0.062121212 miles
Convert the seconds to hours:
= 9.63 / 60
= 0.1605 minutes
= 0.1605/60
= 0.002675 hours
Speed in miles per hour is:
= 0.062121212 / 0.002675
= 23.22
= 23.2 miles per hour
What is the simplified expression in the box by combing like terms and removing zero pairs?
-4 ( 2x+ 4) + 5
Answers
9514 1404 393
Answer:
-8x -11
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Then combine the constant terms.
-4(2x +4) +5
= -8x -16 +5
= -8x -11
[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]
[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]
[tex]\sf \longmapsto−8x+−16+5[/tex]
[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]
[tex]\sf \longmapsto−8x+−11[/tex]
[tex]\sf \longmapsto - 8x - 11[/tex]
What is the constant for 5c2+7d
Answers
Answer:
2
Step-by-step explanation:
5 and 7 are the coefficients if you need them
What is the area of a rectangle with side lengths of 1/2 and 2/3
Answers
Answer:
2/6 square units
Step-by-step explanation:
What is the area of a rectangle with side lengths of 1/2 and 2/3
Step one:
given data
L= 1/2 units
W=2/3 units
Step two:
Area= L*W
substitute
Area= 1/2*2/3
Area=2/6 square units
