Answer:
The measures of the three interior angles of the triangle are {40,55,85}.
Step-by-step explanation:
Let a = the measure of the first angle of the triangle.
Let b = the measure of the second angle of the triangle.
Let c = the measure of the third angle of the triangle.
The problem statement tells us that
(1) a = a
(2) b = a + 15 and
(3) c = a + 45
Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get
(4) a + b + c = 180 or by substitution we get
(5) a + (a + 15) + (a + 45) = 180 or
(6) a + a + 15 + a + 45 = 180 or
(7) 3*a + 60 = 180 or
(8) 3*a = 180 - 60 or
(9) 3*a = 120
Now divide both sides of (9) by 3 to get
(10) 3*a/3 = 120/3 or
(11) a = 40
Using (2) and (3) we get
(12) b = 40 + 15 or
(13) b = 55 and
(14) c = 40 + 45 or
(15) c = 55
Always check the answer. Use (4)
Is (40 + 55 + 85 = 180)?
Is (95 + 85 = 180)?
Is (180 = 180)? Yes
The measures of the three interior angles would be as follows:
40°,55°,85°
If we assume the first angle(∠1) to be [tex]x[/tex],
so, the second angle(∠2) [tex]= x + 15[/tex]
while the third angle(∠3) [tex]= x + 45[/tex]
Through the Angle Sum Property, we know:
∠1 + ∠2 + ∠3 = 180°
By applying the above expressions, we get
[tex]x + (x + 15) + (x + 45) = 180[/tex]°
⇒ [tex]3x + 60 = 180[/tex]
⇒ [tex]3x = 180 - 60[/tex]
⇒ [tex]x = 120/3[/tex]
∵ [tex]x = 40[/tex]°
Therefore,
∠1 = 40°
∠2 = 40° + 15°
= 55°
∠3 = 40° + 45°
= 85°
Thus, the measures of the angles are 40°,55°, and 85°
Learn more about "Angles" here:
brainly.com/question/11990585
22 miles in 20 minutes 38 miles in 30 minutes
Answer:
22 miles in 20 minute, would be 1.4 miles per minute
While 38 miles in 30 minutes would be 1.266.. miles per minute
Step-by-step explanation:
I have no idea what the question may be
Answer: I think its 38 miles in 30 minutes
Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are shown on the blue print
This Answer is:
4x^2+18x+18
WILL CROWN BRAINLIEST Find the quotient.
29,424 divided by 15
Answer:
1961.6 as decimal
Step-by-step explanation:
I divided it
Which of these problems could be solved using the equation 16x=80.
Step-by-step explanation:
D) Marisol has 80 baseball cards. that is 16 times more than her brother Ernesto has. how many baseball cards does Ernesto have?
Darnell bought a leaf blower priced at $437. Shipping and handling cost an additional 20%
of the price. What was the total cost of the leaf blower, including shipping and handling?
-8 (6x -2) = -3x -29
Answer: X= 1
1. 16=−3x−29+48x
2. 16=45x−29
3. 16+29=45x
4. 45=45x
5. 1=x
Tessa has $42 to spend at the county fair. Her admission
ticket cost $7.50. How much money could she spend on
games and food? Write an inequality to represent this
situation and solve.
can someone help me?
Answer
g is less than or equal to 34.50
Step-by-step explanation:
$42-$7.50=$34.50
What is the slope of the line shown below?
Answer:
D
Step-by-step explanation:
Slope formula: m = (y2 - y1) / (x2 - x1)
First coordinate: (1, 3)
Second coordinate: (3, 9)
m = (9 - 3) / (3 - 1)
m = (6) / (2)
m = 3
1
A horizontal line passes through the
point (0,4). A vertical line passes
through the point (-16,0). What is
the intersection of the two lines?
Given:
A horizontal line passes through the point (0,4).
A vertical line passes through the point (-16,0).
To find:
The intersection point of these two lines.
Solution:
A horizontal line passes through the point (0,4). It means the y-coordinate of each point on the line is 4 and the equation of the line is
[tex]y=4[/tex]
A vertical line passes through the point (-16,0). It means the x-coordinate of each point on the line is -16 and the equation of the line is
[tex]x=-16[/tex]
So, the coordinates of the intersection point of these two lines are (-16,4).
Therefore, the required point is (-16,4).
The point of intersection of the two lines is at point: (-16, 4).
According to the question;
The horizontal line passes through the point (0,4).The vertical line passes through the point (-16,0).If a horizontal line passes through the point (0,4).
In essence, the y-coordinate of each point on the line is 4 and the equation of the line is; y = 4If a vertical line passes through the point (-16,0).
In essence, the x-coordinate of each point on the line is -16 and the equation of the line is; x = -16Ultimately, the intersection point of the two lines as described is (-16,4).
Read more on coordinates;
https://brainly.com/question/17206319
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer:
The mean is 46.
Step-by-step explanation:
To find the mean of these points add the values together. So that's one 40, two 41's, one 45, two 48's, three 49's and one 50.
40 + (2 * 41) + 45 + (2 * 48) + (3 * 49) + 50
Multiply what's in the parentheses.
40 + 82 + 45 + 96 + 147 + 50
Add, going from left to right
122 + 45 + 96 + 147 + 50
167 + 96 + 147 + 50
263 + 147 + 50
410 + 50
460
Now, divide that by how many dots there were (10).
460/10
The mean of the values in this dot plot is 46.
Please do number 16 for me
my closet guess is 85°
Answer:
75 degrees
Step-by-step explanation:
Since lines A and B are parallel you can assume that angle 1 and angle 5 will be the same measurement. (You can see it better if you remove the other line)
What is 3:00 AM in Spanish?
Answer:
tres de la mañana
Step-by-step explanation:
im mexican
Answer: tres am
Step-by-step explanation:
Plz help i will give the first person with the correct answer branliest (show work)
what number is closer to 693? 630 or 720?
Answer: 720
Step-by-step explanation: So this question really is just about subtraction and addition so as you can tell 630 is lower than 693 so if you add to where it is a 693 you need to add 63. But if you look at 720 its higher so you need to subtract and if you subtract to 693 then you need to subtract 27. So 27 is less than 63.
Please check my answer!!!!!
Answer:
I think it should be correct
Good Luck!
solve the problem for number 13.
Answer:
m ∠Y = 39°
Step-by-step explanation:
The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°
Answer:
if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.
The auditorium where the spring musical will be performed has 10 seats in the 1st (front) row. Each row behind the Ist row has 4 more seats than does the row in front of it.
how many seats are in the 7th row?
Answer:
38 seats
Step-by-step explanation:
10 + 4x = y
yo does anyone know how to solve this
(-7, 0)
i promise im right
k-1234=5678
what does k equal
Answer:
k=6,912
Step-by-step explanation:
5678+1234=6912
Solve the system by substitution y=5x-9
-3x+7y=1
Answer:
{ 62/45,19/9}
Step-by-step explanation:
Maya has 54 cubic feet in her garden she already has 4.5 cublc feet of soil .Soil bags have 1.5 how many bags should maya purchace.
Answer: 33
Step-by-step explanation:
The cubic feet needed is 54 and she already has 4.5 cubic feet of soil. This mean that she will need 49.5 more.
= 54 - 4.5
= 49.5
Since each soil bag has 1.5, the number of soil bags needed will be:
= 49.5 / 1.5.
= 33
Therefore, she'll need 33 bags
What is 14 more than n ?
Answer:
n+14
Step-by-step explanation:
you just add 14 to n and since you can't put the n and the 14 together it's just n+14
Please someone help meeeee
Answer:
2nd water freezes at 0 C and 32 F and boils at 100 C and 212 F
Step-by-step explanation:
How do I solve 5x(3x2 + 2x - 1)
Answer:
10x+25
Step-by-step explanation:
the length=2.3m and breath=90cm find the perimeter and area of rectangle
Answer:
the length=2.3m and breath=90cm find the perimeter and area of rectangle
Step-by-step explanation:
length ( l ) = 2.3m breadth ( b ) = 0.9mperimeter = 2( l + b ) = 2 (2.3 + 0.9) = 2 × 3.2 = 6.4marea = l × b = 2.3 × 0.9 = 2.07m²MARK ME BRAINLISTNeed help, you know the deal lol
Answer:
É correto afirmar: *
1 ponto
a) O tempo profano é o tempo cronológico, pois não está associado ao sagrado, ao religioso. Trata-se do tempo que é medido por meio de vários instrumentos.
b) O tempo profano é o tempo mítico, primordial, o tempo da origem das coisas.
c) O tempo não tem relação com o sagrado. O sagrado somente tem relação com o espaço.
d) Para as religiões não há diferenças entre tempo sagrado e tempo profano.
2. Sobre temporalidade sagrada é correto afirmar: *
1 ponto
a) As festas sagradas não estão ligadas à temporalidade sagrada, afinal têm somente como objetivo o entretenimento dos fiéis.
b) A cronologia Budista inicia-se a partir da saída do profeta Muhammad da cidade de Meca.
c) O calendário cristão gregoriano inicia a contagem dos dias a partir da ressurreição de Jesus Cristo.
d) Rituais e Festas Sagradas são importantes para que as pessoas rememorem e revivam os acontecimentos sagrados, atualizando, desse modo, sua fé, sua devoção e seu comprometimento com a religião.
Outro:b
arithmetic sequence
Answer: Arithmetic Sequence
Step-by-step explanation:
An Arithmetic Sequence is a sequence where each term increases by adding/subtracting some constant k. This is in contrast to a geometric sequence where each term increases by dividing/multiplying some constant k.
A cube has a surface area of 150
cm squared. Find the side length of the cube in cm.
Answer:
Step-by-step explanation:
6 faces have an area of 150 cm^2
1 face has an area of 150/6 = 25 cm^2
The formula for the area of one face of a cube = s^2 which is the length of a side squared.
s^2 = 25
sqrt(s^2) = sqrt(25)
s = 5
b) Work out 4 =
5
Give your answer as a mixed number in its simplest form.
Answer:
Step-by-step
explain your question more please.
express 5000 gm as kg using decimals
Answer:
5000gm=5kg
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
divide the mass by 1000