Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,
Answers
The line segment AC (side a) is the longest side of triangle ABC.
To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.
Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.
To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
a, b, c are the side lengths of the triangle.
A, B, C are the angles opposite to sides a, b, c, respectively.
Let's calculate the length of side AC (a) using the law of sines:
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(45°) = b/sin(75°) = c/sin(60°)
a/√(2) = b/sin(75°) = c/sin(60°)
Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.
a = √(2) * b and a = (√(3)/2) * c
Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.
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The complete question is:
A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest
Related Questions
a-17.9=32.4
i don't know the answer please help
Answers
Step-by-step explanation:
a-17.9=32.4
a=32.4+16.9
a=50.3
NEED HELP QUICKLY! WILL OFFER BRAINIEST!!
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I had $3
My ma gave me$10
My uncle n auntie gave me $20
My grandpa gave me $100
I still had $6 more
How much did i have before this??
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Answer:
133 bucks can i get brainliest
Step-by-step explanation:
Can anyone help me with this question??
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Answer:
The asnwer is 83.6 :)
Step-by-step explanation:
7.6x11=83.6
Answer:
i think its B .-.
Step-by-step explanation:
the other numbers are less than the ones up above
it’s late! Help asap!
Answers
Answer:
Both are correct
Step-by-step explanation:
All the angles are equal, therefore causing the triangles to be similar.
Which triangle congruence is this a picture of?
SSS
SAS
AAS
HL
Answers
Answer:
sas
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
SAS
1+1
Brainliest is in the deal first one to answer
Answers
Step-by-step explanation:
2 !!!
hope it helps
have a great day:))
Answer:
2 :D
Step-by-step explanation:
......thank you....
HELPPP ACELLUS ALGEBRA 2
Divide.
3x^3 + 2x^2 – 3x + 54
/x + 3
Answers
Answer:
The answer is 5
Step-by-step explanation:
Find the measure of each acute angle.
(3x + 2)∘ = and x∘ =
Answers
Answer:
The measure of one of the acute angles is 22 degrees, and the measure of the other acute angle is 68 degrees.
Step-by-step explanation:
The angles of a triangle add up to 180 degrees; we know this by the Sum of Angles of a Triangle Theorem.
Then one angle is marked as a right angle meaning it has a measure of 90 degrees.
Using this information and the labels on the diagram we can set up an equation:
x+3x+2+90=180
Now we can solve for x.
4x+92=180
4x=88
x=22 degrees
The measure of one of the acute angles is 22 degrees.
Now to solve for the measure of the other acute angle.
Subsitute the value of x first.
x=22
(3x+2)=?
3*22+2=68 degrees
The measure of the other acute angle is 68 degrees.
In the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
The triangle given is a right triangle having an angle tat is 90 degrees and two other acute angles given as: x and (3x + 2)
Thus:
[tex]x + (3x + 2) + 90 = 180^{\circ}[/tex] (sum of triangle)
Solve for the value of x[tex]x + 3x + 2 + 90 = 180[/tex]
Add like terms[tex]4x + 92 = 180\\\\[/tex]
Subtract 92 from each side[tex]4x = 180 - 92\\\\4x =88[/tex]
Divide both sides by 4x = 22
Measure of one of the acute angles is 22 degrees.
To find the second acute angle measure, substitute the value of x
3x + 2 = 3(22) + 2 = 68 degrees
Therefore, in the right-angled triangle given, the measure of each of the acute angles in the given diagram are:
[tex]\mathbf{22^{\circ}}\\\\\mathbf{68^{\circ}}[/tex]
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through: (1,-1), Parallel to y = 1/4× - 4
Answers
Answer:
I believe it is y=1/4x.
Please help me!! 15 pts and Brainliest!
Question and graph is in image, thanks and please answer correctly!
Answers
Answer:
the measure of angle sbt is 95 degrees
Step-by-step explanation:
50+35=85
180-85+95
Please help me answer this for a test im having trouble
Answers
Answer:
x + 1
y = 9
Step-by-step explanation:
In order to solve this question we need to represent "y "in terms of "x" in the first equation, and the plug in the "y" value in the first equation into the second one. Luckily for us in the first equation it already shows what "y" is equal to in terms of "x" (based on the first equation y = -x + 10). Now we just need to plug in the value that we got instead of "y" in the second equation, and so we get....
y = 7x + 2
(plug in the y value and get the following ….)
-x + 10 = 7x + 2
(now just solve the following equation)
-x + 10 + x = 7x + 2 + x
10 = 8x + 2
10 - 2 = 8x + 2 - 2
8 = 8x
8/8 = 8x/8
1 = x
Now that we know the value of "x", all we need to do now is substitute the value of "x" into any of the equations and we will get the value of "y". So we do the following.....
y = 7x + 2
y = 7(1) + 2
y = 7 + 2
y = 9
Joy added 26 new contacts to her phone list. She now has a total of 100 contacts. Let c represent how many contacts joy had on her phone before she updated it
Answers
Answer:
c=74
Step-by-step explanation:
Let c represent how many contacts Joy had on her phone before she updated it.
Because Joy added 26 new contacts, we can say that c+26 is equal to her new total of 100 contacts.
c+26=100
Therefore, the equation that represents this situation is c+26=100
Now, we can use our equation to solve for c.
c+26=100
Subtract both sides by 26 to isolate c
c+26-26=100-26
c=74
Therefore, Joy had 74 contacts on her phone before she updated it.
I hope this helps!
Math item stem image
does this figure have symmetry
Answers
Answer: yes
Step-by-step explanation:
Write the product 3i(5 - 3i) in the form a + bi.
Answers
An imaginary number is denoted by i.
The value of i is √-1.
Imaginary number.
i= √-1
i² = -1
i³ = -i = -√-1
The product of 3i (5 - 3i) in the form of a + bi is
9 + 15i.
What is an imaginary number?An imaginary number is denoted by i.
The value of i is √-1.
We have,
Imaginary number.
i= √-1
i² = -1
i³ = -i = -√-1
Now,
3i (5 - 3i)
Removing the parenthesis.
= (3i x 5) - (3i x 3i)
= 15i - 9(-1)
= 15i + 9
= 9 + 15i
This is in the form of a + bi
Thus,
The product of 3i (5 - 3i) in the form of a + bi is
9 + 15i.
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ill help just cal me MAMAS
Answers
Answer:
Bet
Step-by-step explanation:
please help ASAP due tomorrow!!!
Answers
Answer:
1. b =1/2 (4)(3.5)
v=(14)(8)
2.b= 1/2 (9)(12)
V=(54)(13)
3.b= 1/2(7)(6.1)
v= (21.35)(9)
I NEED HELP WITH THIS ( IM IN LIVE ADN I NEED IT DONE TODAY)
all you need to do is explain it.
Answers
Explanation: To find the rate of change we need to plug the numbers into the formula of x1-x2/y1-y2
So we need to get the biggest and smallest numbers for each row so the equation would look like this
500-300/40-0 so the answer would be 5 have a nice day (:
Please give working step and the answer
Answers
Answer:
Probability = [tex]\frac{22}{31}[/tex]
Step-by-step explanation:
Number of students working part time, living in dorm = 22
Total number of students working part (either living in dorm or not in dorm)
= 22 + 9
= 31
Probability of the students working part time and living in dorm,
P = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex] = [tex]\frac{\text{Students working part time either living in dorm}}{\text{Total number of students working part time either living in dorm or not}}[/tex]
P = [tex]\frac{22}{31}[/tex]
Therefore, probability of the students chosen that he/she is working part time given that he/she lives in dorm is [tex]\frac{22}{31}[/tex].
what is the distance between points C and D
C(2,1)
D(4,1)
Answers
Step-by-step explanation:
let c=x1, y1 and d=x2,y2
Then distance=√(4-2)²+(1-1)²
= √4+0
=2
ans is 2 units
Last one for tonight. This really confused me. Please help.
Answers
Answer:
In the top green thing goes X in the bottom one it goes Y
X: 1,2,3,4,5
Y: 20, 28, 36, 46, 52
Step-by-step explanation:
Complete the proof. help me answer this please!!
Answers
Answer:
2. Definition of supplementary angles
3. [tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]
4. [tex]\angle 2 = \angle 3[/tex]
5. Definition of congruent angles
Step-by-step explanation:
Required
Fill in the gaps
1. Given
Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Supplementary angles: [tex]\angle 1[/tex] and [tex]\angle 3[/tex]
2. Supplementary angles add up to 180.
So:
[tex]\angle 1 + \angle 2 = 180[/tex]
[tex]\angle 1 + \angle 3 = 180[/tex]
3. Apply transitive property on (2)
[tex]\angle 1 + \angle 2 = 180[/tex] and [tex]\angle 1 + \angle 3 = 180[/tex], then
[tex]\angle 1 + \angle 2 = \angle 1 + \angle 3[/tex]
4. Subtract [tex]\angle 1[/tex] from both sides
[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 + \angle 3 - \angle 1[/tex]
[tex]\angle 1 - \angle 1 + \angle 2 = \angle 1 - \angle 1+ \angle 3[/tex]
[tex]\angle 2 = \angle 3[/tex]
This property is called the subtraction property
5. If [tex]\angle 2 = \angle 3[/tex],
Then [tex]\angle 2[/tex] and [tex]\angle 3[/tex] are congruent
At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour. Which equation models the relationship between total cost, y, and the number of hours, x, that the bike is rented?
Answers
Answer:
y = 15 + 7.50x
Step-by-step explanation:
It is given that, At a park, the cost to rent a bike has an initial fee of $15.00 plus $7.50 per hour.
Let the number of hours is x and the total cost is y.
When the bike is rented for x hours, its cost will be 7.50x.
Total cost (y) in terms of number of hours is given by :
y = 15 + 7.50x
Hence, this is the required equation.
A 3 ounce box of pudding mix cost $0.52, and a 6 ounce box of pudding cost $0.90. What is the difference in cost per ounce between the larger and the smaller boxes?
Answers
Answer:
.17 per once for the smaller box and .15 for the bigger box
Step-by-step explanation:
how do you solve 4devided by
12
Answers
Answer:
0.33333333
Step-by-step explanation:
4 divided by 12 would be written like this: 4/12
it's always good to simplify if possible, so it should look like this: 1/3
3 which is the denominator would be divided by 10, so 3/10 = 0.33333333
0.33333333 is the answer because the numerator is how many times you multiply it, and 1*0.33333333 = 0.33333333
Jordan is painting his kitchen. To get the color he wants, he mixes 2 parts red paint and 6 parts yellow paint. 1) Write the ratio of parts red paint to parts yellow paint as a fraction. 2) Then, write the unit rate of red paint to yellow paint.
Answers
Answer:
1. 1/3 or 1 red paint : 3 yellow paint
2. 3/1 or 3 or 3 yellow paint : 1 red paint
Step-by-step explanation:
First figure out red to yellow
2 parts red : 6 parts yellow
simplified it is 1 part red : 3 parts yellow or 1/3
Repeat for ratio of yellow to red
6 parts yellow : 2 parts red
simplified is 3 yellow : 1 red or 3/1 or 3
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- 8.5а - 4.5+ За = - 24.5
Answers
Answer:
a=3.63
Step-by-step explanation:
Isolate the variable by dividing each side by factors that contain the variable.
hope this helps:)
6. Compare the line passing through the points (-2, -9) and (4, 6) with the line given by the equation
y=2/5x-4.
А They have the same slope.
B They have the same x-intercept.
с The two lines are
perpendicular.
D They have the same y-intercept.
Answers
(6+9)/(4+2) = 15/6 = 5/2
Y = 5/2x + b
-9 = 5/2(-2) + b
-9 = -5 + b, b = -4
Same y intercept
Solution: D
State all integer values of x in the interval [1, 8] that satisfy the following inequality:
4x- 5> 4
Answers
Step-by-step explanation:
4x - 5 > 4
4x > 9
x > 2.25
Hence the integer values of x that satisfy are 3, 4, 5, 6, 7 and 8.
Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon.
Answers
Answer:
Percent air is calculated as:
Percent air = Current amount/Total amount *100Solve for total amount of air:
Total amount = Current amount / Percent air * 100Substitute the values in hand to get the answer