Answer:
The smallest angle in the triangle is 30°
Step-by-step explanation:
You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:
[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]
The smallest angle then is x + 37, or 37 - 7, giving us 30°
If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given,
The three angles of a triangle measure x+37, 90, and x+67.
We need to find the measurement of smaller angle.
From angle sum property we know that the sum of three angles is equal to 180 degrees.
x+37+90+x+67=180
2x+194=180
Subtract 194 from both sides
2x=180-194
2x=-14
Divide both sides by 2.
x=-7
Substitute the value of x in smallest angle
x+37
-7+37=30
Hence the measurement of the smallest angle in degrees is 30
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
I NEED HELPPPPPPPPPPPPPPP
It should be either A or B but I can’t figure it out from there, it at least slims down your choices
1. If you randomly select a piece of fruit from this jar, what is the P(orange)? Write answer as a simplified fraction.
2 oranges and 6 apples are in the jar
Solve by using substitution
x=3y-1
x+2y=9
Answer:
x=3y−1x=3y-1
x+2y=9x+2y=9
Replace all occurrences of xx with 3y−13y-1 in each equation.
Tap for fewer steps...
Replace all occurrences of xx in x+2y=9x+2y=9 with 3y−13y-1.
(3y−1)+2y=9(3y-1)+2y=9
x=3y−1x=3y-1
Add 3y3y and 2y2y.
5y−1=95y-1=9
x=3y−1x=3y-1
Solve for yy in the first equation.
Tap for fewer steps...
Move all terms not containing yy to the right side of the equation.
Tap for fewer steps...
Add 11 to both sides of the equation.
5y=9+15y=9+1
x=3y−1x=3y-1
Add 99 and 11.
5y=105y=10
x=3y−1x=3y-1
Divide each term by 55 and simplify.
Tap for fewer steps...
Divide each term in 5y=105y=10 by 55.
5y5=1055y5=105
x=3y−1x=3y-1
Cancel the common factor of 55.
Tap for fewer steps...
Cancel the common factor.
5y5=1055y5=105
x=3y−1x=3y-1
Divide yy by 11.
x=5,y=2
Step-by-step explanation:
please mark me as brainliest thank you
Martin has 13 liters of soda.
Each glass can hold of a liter
of soda. How many glasses can
Martin completely fill with soda?
Answer:
13
Step-by-step explanation: If each glass can hold 1 liter than 13 glasses can hold 13 liters.
-17=x-15 what does x equal?
Answer:
-17=x-15 +15
-2=x
Step-by-step explanation:
prove me wrong
-17 = x - 15
Move -15 over to -17, it becomes a positive.
15 - 17 = x
15 - 17 = -2
x = -2
Can someone help me with question 12A please? Thank you!
Answer:
Step-by-step explanation:
SOORY
In a study of 82 Halo game players, it was found that the ages of these players were normally distributed, with a mean age of 17 years and a standard deviation of 3 years. Find the z score for a 21 year old.
A.) 2
B.) -2
C.) -1.33
D.) 1.33
Answer:
c
Step-by-step explanation:
and bro i am i have a brother that always on my account makes me that im cheating that im not and he always blames me so thats why my bro has too many gfs and always blames me
the measure of ∠G is 82°. What is the measure of its compliment?
Answer:
First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.
Step-by-step explanation:
In a survey of 2,200 people who owned a certain type of car, 440 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
nothing% of the people surveyed were satisfied with the car.
Answer:
20%
Step-by-step explanation:
20% of people were satisfied with the car.
Dylan, Alan, Bruce, and Cecil are brothers. Dylan weighs d pounds. Alan weighs 3 pounds more than twice what Dylan weighs. Bruce weighs 12 pounds less than three times what Dylan weighs. If Cecil weighs the same as the combined weight of Bruce and Alan, what is Cecil’s weight in terms of Dylan’s weight (d)?
Part A
Alan weighs 3 pounds more than twice what Dylan weighs. Write an expression to represent Alan’s weight in terms of Dylan’s weight.
Part B
Bruce weighs 12 pounds less than three times what Dylan weighs. Write an expression for Bruce's weight in terms of Dylan's weight
Part C
Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression for Cecil's weight in terms of Dylan’s weight.
Part D
Assume that Dylan weighs 45 pounds. Use the expression from part C to calculate Cecil’s weight.
Part E
Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Part F
Simplify the expression (2d + 3) + (3d − 12).
Part G
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Part H
Did you get the same answer for Cecil’s weight in parts D and G? What can you conclude about the expressions you developed in parts D and G?
Part I
Let's try something a bit different. The four brothers know that Bruce weighs more than Alan. Write an expression to represent how much more Bruce weighs than Alan. Write the in terms of Dylan’s weight, d.
Part J
Dylan weighs 45 pounds. Use the expression you derived in part I to calculate how much more Bruce weighs than Alan.
Part K
Now simplify the expression (3d − 12) − (2d + 3) you wrote in part I.
art L
Dylan weighs 45 pounds. Use the simplified expression you found in part K to recalculate how much more Bruce weighs than Alan. Did you get the same answer as in part J? If not, be sure to check your work, particularly the positive and negative signs.
PLEASE HELP I WILL DO YOUR WORK IF YOU DO THIS FOR ME PLZZZZZZZZZZZZZZZ
Answer:
PART A- 3+D POUNDS
PARTB- 3D-12
Step-by-step explanation:
dylan-d pounds
alan-3+d pounds
bruce-3d-12
Answer:
Alan = A
Bruce = B
Cecil = C
Dylan = D
Part A A = 2 x D + 3
Part B B= 3 x D - 12
Part C C= A+B A = 2 x D + 3 B= 3 x D - 12
Part D Cecil weighs 216 pounds
Part E Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Part F 5d-9
Part G Cecil’s weight in terms of Dylan’s weight is 5d – 9. Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:
(5 × 45) − 9 = 225 − 9 = 216.
If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.
Part H Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.
Part I Bruce's weight in terms of Dylan’s weight is 3d − 12. Alan's weight in terms of Dylan’s weight is 2d + 3.
So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.
Part J The expression is (3d − 12) − (2d + 3). Evaluate the expression by substituting Dylan’s weight (d = 45) into it: (3 × 45 − 12) − (2 × 45 + 3) = (135 − 12) − (90 + 3) = (123) − (93) = 30.
Bruce weighs 30 pounds more than Alan weighs.
Part K (3d − 12) − (2d + 3).
First remove the parentheses:
3d − 12 − 2d − 3.
Then group the like terms:
3d − 2d − 12 − 3.
Finally, subtract the like terms:
d − 15.
The expression (3d − 12) − (2d + 3) simplifies to d − 15.
Part L The expression is d − 15. Evaluate the expression by substituting Dylan’s weight (d = 45) into it: 45 − 15 = 30.
Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.
Step by step explanation:
So you basically want to focus on Alan and Bruce they will help you get the rest of your answers
Note:
Some of these are direct answers from Edmentum
Jason is installing new carpet in a room. The dimensions of the room are shown in the diagram. what is the area of the floor?
19. Find the equation of the line that contains the given points. Write the equation in slope-
intercept form, if possible.
(-5,-5) and (1,7)
Please solve step by step
Answer:
y = 2x +5
Step-by-step explanation:
1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)
2. solve --> 7-(-12) / 1-(-5) = 2
3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b
4. solve --> 7 = 2(1) + b --> b = 5
5. put the equation together --> y = 2x + 5
Help? Show work!
(TV ) ⃗ bisects ∠STU,m∠STV=(1/4 x+8)°,
and m∠UTV=(x+2)°.Find m∠STU.
Answer:
m∠STU = 20 °
Step-by-step explanation:
Since the line bisects the angle, we have that the two bisected angles are equal
Thus, mathematically;
x + 2 = x/4 + 8
Multiply through by 4
4x + 8 = x + 32
4x-x = 32-8
3x = 24
x = 24/3
x = 8
So to find the value of the original angle, we input 8 into each of the bisected angles and add together
mathematically, that will be ;
10 + 10 = 20
Mike recorded the number of hours he slept each night for a period of 5 days as shown in the table below.
Based on the information in the table, what was the total number of hours that Mike slept from Monday through Friday?
Step-by-step explanation:
8+9= 17
7 3/4 + 7 1/4= 15
15 + 5 1/2= 20 1/2
17 + 20 1/2 = 37 1/2
Write the ratio of ears to toes on an average person? (in simplest form)
type your answering using one of the following... (NO SPACES)
to
Answer:
1:5
Step-by-step explanation:
DivideByTwo
Which number line shows the solution of 4x - 36 <-12?
Answer: Other guy is right.
Step-by-step explanation:
PLEASEEEE HELP I HAVE NO IDEA WHAT THIS IS
Jordan is driving on a long road trip. He currently has 13 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?
Answer:
ok so 13- 1.75(5)
do this equation
Step-by-step explanation:
Name the vertical angles in the diagram below:
Hey there!
The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.
Hope it helps and have a good day!
If there are 1.61 kilometers in a mile and also 5,280 feet in a mile, then how many feet are there in 3 kilometers?
Answer:
There are 9838.5 feet in 3 kilometers.
Step-by-step explanation:
Given that:
There are 1.61 kilometer in a mile.
1 mile = 1.61 km
Also,
1 mile = 5280 feet
Comparing,
1.61 km = 5280 feet
1 km = [tex]\frac{5280}{1.61}[/tex] feet
1 km = 3279.50
3 km = 3279.50 * 3
3 kilometers = 9838.5 feet
Hence,
There are 9838.5 feet in 3 kilometers.
A distance of 3 kilometers is equal to 9,838.5 feet.
Given to us:
1 miles = 1.61 kilometers,
1 miles = 5,280 feet,
from the above to equations we can conclude,
[tex]1\ miles = 1.61\ kilometers = 5,280\ feet\\ 1.6\;kilometers = 5,280\ feet\\\\1\ kilometers =\dfrac{ 5,280\ feet}{1.61} \\\\1\ kilometers = 3,279.5\ feet[/tex]
So, now for 3 kilometers we can conclude that,
[tex]1\ kilometers = 3,279.5\ feet\\3\ kilometers = (3,279.5\times3)\ feet\\3\ kilometers = 9,838.5\ feet[/tex]
Hence, A distance of 3 kilometers is equal to 9,838.5 feet.
To know more visit:
https://brainly.com/question/1844971
What is the slope line through 1,-1 and 6,2
Answer:
[tex]\huge\boxed{slope=\dfrac{3}{5}=0.6}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (1, -1) and (6, 2).
Substitute:
[tex]m=\dfrac{2-(-1)}{6-1}=\dfrac{2+1}{5}=\dfrac{3}{5}=0.6[/tex]
Reflect shape A in the line y = x
Factor: -12n - 20 they are asking for an expression
Answer:
-4(3n+5)
Step-by-step explanation:
Factored -4 out of -12n-20. Let me know if this answers the question!
Can y’all plz help me for brainliest
the awnser is #3
k=96
Answer:96
Step-by-step explanation:
4 can go into 96 24 times
Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the nearest tenth is 16.3. ? 16.32 rounded to the nearest hundredth is 16.33. ? Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. true or false 16.32 rounded to the nearest tenth is 16.3. true or false 16.32 rounded to the nearest hundredth is 16.33. true or false plz explain
Answer:
a)16.32 rounded to the nearest whole number is 16 feet per second? True
b) 16.32 rounded to the nearest tenth is 16.3.? True
c) 16.32 rounded to the nearest hundredth is 16.33. ? False
Step-by-step explanation:
Select True or False for each statement.
a) 16.32 rounded to the nearest whole number is 16 feet per second. ?
16.32 to nearest whole number = 16 feet per second. This statement above is true.
b) 16.32 rounded to the nearest tenth is 16.3. ?
The number in the tenth position is 3, the number after it is 2.
Hence, 16.32 to the nearest tenth = 16.3
Hence, the above statement is true.
c) 16.32 rounded to the nearest hundredth is 16.33. ?
The number in the hundredth position is 2. There is no number after 2.
Hence,
16.32 to the nearest hundredth is 16.32
Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.
Can someone help me please
Answer:
7,-7 or -7,-7
Step-by-step explanation:
7,-7 or -7,-7
Answer:
It is either (7,-7) or (-7,7)
Step-by-step explanation:
Hope this helps!
Given the equation kx – 17 = 51 + x, where k=1, solve for X.
Answer:
No solution for x, when k = 1x = 68/(k - 1), when k≠ 1Step-by-step explanation:
Given the equation
kx – 17 = 51 + x, where k = 1,Solve for x:
1*x - 17 = 51 + xx - 17 = x + 51x - x = 51 + 170 = 68,Incorrect equation, no solution for x when k=1
Solving for x when k ≠ 1
kx - 17 = 51 + xkx - x = 51 + 17x(k - 1) = 68x = 68/(k - 1)Use the system of equations to answer the question.
x + y = 3
y = x - 5
What is the solution to the system of equations?
Answer:
the answer to the system of equation is (4, -1)
what function is the sequence 5, 10, 15, 20, 25, 30
Answer:
a[tex]n[/tex]=5n
Step-by-step explanation:
Can somebody help me with these 3. Will mark brainliest.
Find the missing values in the ratio table. Then write the equivalent ratios.
Forks 16 8 _
Spoons 10 _ 30
Answer:
the missing blank for forks is 0 and the missing blank for spoons is 20
Step-by-step explanation: