Answers
Answer:
1) x = 29; m∠3 = 6º
2a) scalene
2b) acute
Step-by-step explanation:
1) We can first solve for m∠3, as it is supplementary to 174º.
174º + m∠3 = 180º
m∠3 = (180 - 174)º
m∠3 = 6º
Then, we can solve for x by setting the sum of the measures of the interior angles of the triangle to 180º.
m∠1 + m∠2 + m∠3 = 180º
↓ substitute in given and solved values
(3x + 2)º + (5x - 60)º + 6º = 180º
↓ combine like terms
8xº - 52º = 180º
↓ add 52 to both sides
8xº = 232º
↓ divide both sides by 8º
x = 29
2a) We know that this triangle is not equilateral, as the measure of one of its interior angles (m∠3) is 6º. However, the triangle may be isosceles if m∠1 = m∠2. We can check for that by substituting x into each angle measure expression.
m∠1 ≟ m∠2
(3x + 2)º ≟ (5x - 60)º
↓ substitute in x-value
3(29)º + 2º ≟ 5(29)º - 60º
↓ simplify
(87 + 2)º ≟ (145 - 60)º
89º ≠ 85º
m∠1 ≠ m∠2; the triangle is not isosceles. Therefore, it must be scalene.
2b) All of the triangle's angles are less than 90º. Hence, it is an acute triangle.
Related Questions
If seven is subtracted from six times a number, the result is ten
Answers
Answer:
17/6
Step-by-step explanation:
6x-7=10
6x=10+7
6x=17
x=17/6
A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answers
Answer:
22.4 ft
Step-by-step explanation:
The side of the ladder from the house will be 22.4 ft far.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that a 45-foot ladder is set against the side of a house so that it reaches up to 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house.
The distance will be calculated as,
a² + b² = c²
a² + (39)² = 45²
a² = 45² - 39²
a=√504
a = 22.4 ft
Therefore, the side of the ladder from the house will be 22.4 ft far.
To know more about the Pythagorean theorem follow
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HELP!!!
And please don’t send a link it won’t let me download it
What is the standard deviation of the distribution?
0.89
The owner of a local movie theater keeps track of the
number of tickets sold in each purchase and makes a
probability distribution based on these records. Let X
represent the number of tickets bought in one
purchase. The distribution for X is given in the table.
0.95
O 1.41
1.99
Number of
Tickets
1
2
3
5
Probability
0.29
0.44
0.19
0.06
0.02
Answers
Answer:
The number of tickets purchased typically varies from the expected value by 0.95 tickets.
Step-by-step explanation:
The standard deviation of the distribution is 0.95.
What is Standard Deviation?The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
We have
P (X = 1)= 0.29
P (X = 2) = 0.44
P( X= 3) = 0.19
P (X = 4) = 0.06
P (X = 5) = 0.02
The expected value is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0.29(1) + 0.44(2) + 0.19(3) + 0.06(4) + 0.02 (5)
E(X) = 2.08
As, The standard deviation is the square root of the total of the difference squared between each value and the mean, multiplied by the likelihood of each value.
[tex]\sigma[/tex] = √0.29 (1- 2.08)² + 0.44(2- 2.08)² +.....+ 0.02 (5- 2.08)²
= 0.95
Thus, the standard deviation is 0.95.
Learn more about Standard Deviation here:
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Find the measure of one interior angle.
A) 108°
C) 90°
B) 120°
D) 135°
Answers
Answer:
If that's a square or rectangle, any corner will be 90°
Step-by-step explanation:
Answer:
Step-by-step explanation:
Option C - 90 DegreesMark as brainliest for further answers
Matt made a trip to his friend's house and back. On
the trip there he drove 24 miles per hour and on the
return trip he went 30 miles per hour. How long did
the trip there take if the return trip took 4 hours
Answers
24 mph (? hour trip there)
<————
30 mph (4 hour return trip)
If the return trip took 4 hours, then that means the total miles away would be 120. Matt was driving at 30 mph and drove for four hours, After multiplying 30 by 4, you will get 120. Once you’ve done that, you can do 120 divided by 24. Now that you know how many miles away his friend’s house is, you can estimate the time it took him to arrive by driving at 24 mph. 120 / 24 = 5
Answer: 5 hours
HELP MEEEEEEEEE WITH THISS PROBLEMMN
Answers
Answer:
A-18.84
Step-by-step explanation:
just do 6×3.14=18.84
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square feet? Use 3.14 for pi
Answers
Answer:
20 feet
Step-by-step explanation:
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1256.00 square feet? Use 3.14 for pi
From the above question, we are to find the radius of the circular pattern
The formula for the Area of the circle = πr²
To find r
r² = A/π
r = √A/π
In the above question, Area = 1256 square feet
π = 3.14
r = √1256/3.14
r = √400
r = 20 feet
The radius/distance from the sprinkler that can spread water = 20 feet
2. Find the slope of the line graphed below!
Remember
Rise
Run
10
Answers
Answer:
-1/3
Step-by-step explanation:
PLS ACTUALLY ASNWER
Answers
Answer:
the first one, no
the second one, yes I think?(its def not no)
the third one, yes
Step-by-step explanation:
14. 6 • _____ = 3 • ____
Answers
Answer: 143°
Step-by-step explanation:
140+146=286
360-286=74
74/2=37
vertical angles are equal so using supplementary angles or vertical angle rule I can prove the angle labeled x is 143°
Round 2.486 to the nearest hundredth.
Answers
Answer:
2.490
Step-by-step explanation:
It is over the half point so, if it's over round up. if not, round down.
Mr. Wedmore works at a car dealership and earns
a monthly salary of $2,000. He also earns 25%
commission on the gross profit of the car sales. If
Mr. Wedmore brought in $10,000 worth of profit
for the dealership, how much would he earn this
month?
Answers
Answer: $2,000. + 25% + $10,000= 12,500 Or $2,000. - 25% - $10,000=8500
Step-by-step explanation:
Answer: $4,500
Step-by-step explanation: First, the monthly salary is $2,000 so this is part of the total already. The 25% commission is on the profit they earn and the profit they earned was $10,000. To find 25% of $10,000, you do 10,000 times 0.25 which is $2,500.
Total Earned: $2,000 (Monthly Salary) + $2,500 (Commission Amount) = $4,500
What is the area of the shaded region?
3 cm
Answers
Answer:
7.74cm ^2
Step-by-step explanation:
a=pie * r ^2
3.14*3^2=3.14*9=28.26 then you know all sides of a square are equal and 3 is half of 1 side so 6*6-=36 36-28.26=7.74
What is the term for a straight line extending from the center of a circle to the outside surface of a circle?
Answers
Answer:
radius
Step-by-step explanation:
hope this helps
¿De quién nos habla el texto ?¿pudiste imaginar como ese personaje? ¿porque?
Answers
Answer:
lo siento, no entiendo esta pregunta, pero esta aplicación es para ayudar con cosas como las matemáticas.
Step-by-step explanation:
what is 3c-9d+7c+5d simplified
Answers
Answer:
3c-9d+7c+5d becomes this when it is simplified 10c - 4d
Step-by-step explanation:
Which of the following expressions is equal to 5 - 2m
Answers
Answer:
You didn't show any of the expressions
Step-by-step explanation:
Help pls, my mother will beat me.
Answers
Answer: I think it is 521 inches cubed
Step-by-step explanation:
First, I found the surface area of the shape on the bottom. Then I did the same thing for the shape on the top and added them together. But I noticed there was one side on the top shape that I had to subtract from the total. That is how I got 521. But I'm not sure.
Please help, my computer is about to die and this is due in a few minutes. Will mark brainlist if correct
Answers
Answer:
x = 1.5
Step-by-step explanation:
Based in the tangent-secant theorem,
KI*JI = HI²
KI = (x + 0.5)
JI = 0.5
HI = 1
Plug in the values
(x + 0.5)(0.5) = 1²
0.5x + 0.25 = 1
0.5x = 1 - 0.25
0.5x = 0.75
x = 0.75/0.5
x = 1.5
Which phrase best describes the translation from the graph y=6x^2 to the graph of y=6 (x+1)^2?
6 units right
6 units left
1 unit right
1 unit left
Answers
Answer:
1 unit left
Step-by-step explanation:
Here, we want to get the kind of transformation applied
From the given equations, we can see that the value 1 being added to 1 in the second equation is the difference
What this mean is that we have an issue with the x value
For x to move to x + 1, there is a translation to the tune of 1 unit in the left direction
The theater from the previous question sold a total of 97 tickets on the night they made $1048. Write and solve a system of equations to determine the number of adults who bought tickets that night.
Answers
Answer:
116.444$
Step-by-step explanation:
Intr un album numarul de fotografii s a micsorat cu 50%. Cu cat trebuie sa se mareasca pentru a reveni la numarul initial? Raspunsul trebuie sa fie 100%.
Answers
Răspuns:
100%
Explicație pas cu pas:
Permiteți numărul inițial de fotografii = x
x - 50% din x = x - 0,5x = 0,5x
0,5x + câte% din 0,5x = x
x - 0,5x = y% de 0,5x
0,5x / 0,5x = 1
Prin urmare,
100% = 1
Prin urmare, x trebuie mărit cu 100% pentru a reveni la numărul original.
PWEASEEEEEE HELP MEEEEEEE
Answers
Answer:
x = 65
Step-by-step explanation:
x + 115 = 180
x = 65
Figure ABCD Is a parallelogram
What are the measures of angles B and D
Answers
PLEASE help plssss no links and silly answers
Answers
Answer:
(H)
Step-by-step explanation:
Less than signs are <
Greater than signs are >
Since in this case x is the number
7 has to be less than x which is x<7
Answer:
f
Step-by-step explanation:
PLEASE HELP DUE IN 1 HOUR
Answers
Answer:
18
Step-by-step explanation:
just add them unless you have to find the numbers for the 2 little squares
Answer:
27
Step-by-step explanation:
cut shapes. then 6x2 is 12, 3x5 is 15, then add
Ifm AGD = 72°, then what is m DGB?
G/1
B
3/2
E
1
6
Answer for: m DGB
Answers
Answer:
Cheeeeseeeeii
Step-by-step explanation:
Cheeeeseee
-2(p-1)+7p>32
I don’t know help
Answers
Ana can eat 15 hamburgers in 3 minutes. How many hamburgers can she eat in one minute?
(2 points)
A.Ana can eat 50 hamburgers in one minute.
B.Ana can eat 3 hamburgers in one minute.
C.Ana can eat 5 hamburgers in one minute.
Answers
Answer:
C Ana can eat 5 hamburgers in one minute
Step-by-step explanation:
A is wrong you can tell B if you eat 3 burgers in one minute then you eat another 3 thats only 6 then for the three minutes she eats 9 so C is correct
Which expression is not equal to 1?
sin θ csc θ
cos θ sec θ
tan θ cot θ
sin θ cos θ
Answers
Answer: sin 0 cos 0
sin θ cos C
Step-by-step explanation:
Suppose, θ=30°
Suppose,
sin θ cos θ=1
⇒sin30°cos30°=1
⇒[tex]\frac{1}{2}[/tex]×[tex]\frac{\sqrt{3\\} }{2}[/tex]=1
⇒[tex]\frac{\sqrt{3} }{4}[/tex]≠1