HELP Explain the Triangle Inequality Theorem as it relates to angles.
Answer:
If two sides of a triangle are unequal, then the measures of the angles opposite these sides are unequal, and the greater angle is opposite the greater side.
have a great day and easter
The Inequality Theorem states that, If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.
What are triangles?A triangle is a polygon with three edges and three vertices.
Triangle Inequality Theorem :-
If two angles of a triangle are unequal, then the measures of the sides opposite these angles are also unequal, and the longer side is opposite the greater angle.
For example :-
Consider a triangle RQS,
List the sides of this triangle in increasing order.
Because 30° < 50° < 100°, then RS < QR < QS.
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In the triangle shown below, the side lengths are given in terms of x.
What is the length of the longest side of the triangle when x=8
Step-by-step explanation:
In a triangle, the hypotenuse is the longest side
=>7x+3
=7(8)+3
=56+3
=59
(WILL GIVE BRAINLIEST IF RIGHT PLEASE HELP 20 POINTS!!!)
What is the value of x?
Enter your answer in the box.
x = ?
Answer:
46
explanation:
its supposed to make up 180 so you will subtract 180 from 134 and thats your answer
I really need help...Will mark brainiest
Answer:
[tex]x^{2} -1[/tex]
Step-by-step explanation:
You will need to multiply and distribute out the equation.
[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]
. 3(a - 2) – 4(2a - 3)
Answer:
a = 0.5454545455
Step-by-step explanation:
Simplifying
3(a + 2) + 4(2a + -3) = 0
Reorder the terms:
3(2 + a) + 4(2a + -3) = 0
(2 * 3 + a * 3) + 4(2a + -3) = 0
(6 + 3a) + 4(2a + -3) = 0
Reorder the terms:
6 + 3a + 4(-3 + 2a) = 0
6 + 3a + (-3 * 4 + 2a * 4) = 0
6 + 3a + (-12 + 8a) = 0
Reorder the terms:
6 + -12 + 3a + 8a = 0
Combine like terms: 6 + -12 = -6
-6 + 3a + 8a = 0
Combine like terms: 3a + 8a = 11a
-6 + 11a = 0
Solving
-6 + 11a = 0
Find the length of side x.
Give your answer to 1 decimal place.
105°
18 cm
15 cm
Х
help asap
which best describes this equation
10+6 x=15+9 x-3 x
a one real solution
b the solution is 0
c no real solutions
d an infinite number of solutions
Answer:
c. no real solutions
Step-by-step explanation:
because:
1. 10+6x=15+9x-3x
6x+10=15+9x-3x
2. 6x+10=15+9x-3x
6x+10=15+6x
3. 6x+10=15+6x
6x+10=6x+15
4. 6x+10=6x+15
6x+10-10=6x+15-10
5. 6x=6x+5
6. 6x=6x+5
6x-6x=6x+5-6x
Then you get:
0=5
remember, If you want to know if an equation has no equation:
the constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur. Use distributive property on the right side first.
I hope this helps :)
In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).
Answer:
In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).
Step-by-step explanation:
The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].
Vectorially speaking, a translation is defined by the following formula:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.If we know that [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (3, 2)[/tex], [tex]C(x,y) = (4, -2)[/tex], [tex]D(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-4,2)[/tex], then the resulting points of the rectangle are:
[tex]A'(x,y) = (0, 0) + (-4, 2)[/tex]
[tex]A'(x,y) = (-4, 2)[/tex]
[tex]B'(x,y) = (3, 2) + (-4,2)[/tex]
[tex]B'(x,y) = (-1, 4)[/tex]
[tex]C'(x,y) = (4,-2) + (-4, 2)[/tex]
[tex]C'(x,y) = (0, 0)[/tex]
[tex]D'(x,y) = (3, -3) + (-4, 2)[/tex]
[tex]D'(x,y) = (-1, -1)[/tex]
The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].
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When you became a manager, your 49478 annual salary increased 22%. You found the new job too stressful and requested a return to your original job. You
resumed your former duties at a 23% reduction in salary. How much are you making at your old job after the transfer and return? Estimate your answer to 0
places after the decimal.
Answer:
$46,479
Step-by-step explanation:
22% of 49478 is 10885.
You add them.
60363.
Then take 23% of that which is 13883.
Then subtract them.
$46,479
Hope this helps
Madeline needs to find the slope of the line that passes through the points (9, 12) and (7,4) she sets up the following work
Answer:
4Step-by-step explanation:
The slope of the line passing through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
(9, 12) ⇒ x₁ = 9, y₁ = 12
(7, 4) ⇒ x₂ = 7, y₂ = 4
So, the slope:
[tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]
For two independent events A and B, Pr(A or B) = 0.8 and Pr(B) = 0.3. From this, find Pr(A).
Answer:
please give me brainlist and follow
Step-by-step explanation:
Correct option is
A
5/7
As A and B are independent
0.8=P(A∪B)=P(A)+P(B)−P(A)P(B)
=0.3+P(B)−(0.3)P(B)
⇒0.5=(0.7)P(B)⇒7P(B)=5
Please help due at 7AM!!
Answer:
For 1: C & D
For 2: A & C
(Do the Short answer on your own)
Step-by-step explanation:
What is the slope of the line that contains the points (6,4) and (13,5)
Answer: 1/7
Step-by-step explanation:
Answer:
(4,2) (11,3)
Step-by-step explanation:
Organization by the largest component of an ecosystem to the smallest
Answer:
first 2, second 4, third 3, and the last one 1
Given segment AC and point B lies on AC
Find CB if AC = 51, AB = 6-5x, and CB = 49 + 6x
Answer
3.9 round to 4 ish
Step-by-step explanation:
hey, I'm not sure if I did this right but the way I did it it's what I'm learning so if you get it wrong I apologize.
A circular swimming pool has a radius of 15 feet. What is the circumference of the pool?
Answer: 706.5
Step-by-step explanation:
A= pi r squared
A= 3.14x15 squared
15 squared = 225
A= 3.14x225
A rectangular table is 64 inches long and 35 inches wide. What is the perimeter of this table
The perimeter of a rectangular table is 198 inches.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Given that, a rectangular table is 64 inches long and 35 inches wide.
Now the perimeter of table is
2(64+35)
= 2×99
= 198 inches
Therefore, the perimeter of a rectangular table is 198 inches.
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Q1.
Laila has a biased 5-sided spinner.
The table below shows the different possible outcmes of the spinner.
1
2
3
4
Outcome
Probability
0.12
0.15
0.24
Work out the probability of the spinner landing on 4.
Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?
The side lengths of 8 cm, 5 cm and 13 cm _______ form a triangle.
Drop down options:
cannot
can
The rule says that the sum of any two sides has to be smaller than the third side so, no it can't
My brain is destroying itself so i need a little help I give brain award
In ΔKLM, l = 26 cm, k = 56 cm and ∠K=22°. Find all possible values of ∠L, to the nearest degree.
Answer:
10 degrees
Step-by-step explanation:
sdfsdfs
The possible value of ∠L in ΔKLM is approximately 22 degrees.
What is geometry?Geometry is the study of two-dimensional and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles.
A square triangle is a diagram made by using the squares and the triangle simultaneously. Here in the image below you can see we can make the square triangle by using one square and three triangles.
To find the possible values of ∠L in triangle ΔKLM, we can use the Law of Cosines, which relates the sides and angles of a triangle:
c² = a²+ b²- 2abcos(C)
Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.
In our case, we know that:
KL = l = 26 cm (the side opposite to ∠M)
KM = k = 56 cm (the side opposite to ∠L)
∠K = 22° (angle opposite to KL)
To find the length of LM (the side opposite to ∠K), we can use the Law of Cosines:
LM² = KL² + KM^2 - 2KLKMcos(K)
LM² = 26² + 56² - 2(26)(56)cos(22°)
LM ≈ 61.3 cm
Now we can use the Law of Sines, which relates the lengths of the sides and the opposite angles of a triangle:
a/sin(A) = b/sin(B) = c/sin(C)
In our case, we can use this formula to find the value of sin(∠L):
sin(∠L)/KM = sin(∠K)/LM
sin(∠L)/56 = sin(22°)/61.3
sin(∠L) ≈ 0.374
∠L ≈ arcsin(0.374)
∠L ≈ 22° (rounded to the nearest degree)
Therefore, the possible value of ∠L in ΔKLM is approximately 22 degrees.
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Read this excerpt from The People Could Fly
He turned into a dove. Anton flew and he flew, until he came to the inhabitants of the moon. He saw the tower of the moon. He flew to the window; he called for the ant:
"Ai, ai! Make of me an ant
That goes where nobody knows."
And he turned into an ant again. He went straight to the beautiful girl's room.
He said,
"Ai, ai! Make of me Anton,"
When he spoke, Anton turned into himself.
How does the plot influence characterization in this excerpt?
The exposition introduces Anton as a crafty planner.
The exposition suggests that the beautiful girl is lonely.
The rising action shows Anton creatively solving problems.
The rising action shows Anton falling in love with the girl.
Answer:
C. The rising action shows Anton creatively solving problems.
Step-by-step explanation:
Answer:
the person above me is right
Step-by-step explanation:
100 points for test plz help!!!
Construct a residual plot of the amount of money in a person’s bank account and their age that would indicate a linear model.
Answer:
I can't draw models on here but i can walk you through it
Step-by-step explanation:
A linear model is usually a graph of a line were it is going left to right. Start by collecting your data and simply place the points from decreasing order to increasing and draw a line to collect them.
Have a great day! :)
Answer:
heres a pic of what linear models look like
hope u have a great day :P
Step-by-step explanation:
What is the probability of landing on red and rolling a number greater than 2?
1/6
1/4
1/3
1/2
In which step did Daniela make the first error?
David Is saving money to buy a game. The game costs $15, and so far he has saved one-third of this cost. How much money has David saved?
Answer:
5$
Step-by-step explanation:
He has 15$. divide 15 by 3
Answer: 5
Step-by-step explanation:
15÷3= 5
a cyclist rides his bike at a rate of 5 kilometers per hour.what is this rate in
miles per hour? how many miles will the cyclist travel in 5 hours? in your
computations assume that 1 mile is equal to 1.6 kiolmeters. Do not round your
answers
Answer:
rate is 8 miles per hour and he travels 40 miles per 5 hours
Step-by-step explanation:
The story problem told that i should assume that 1 mile is 1.6 km
so 5km/hr is equal to 8m/h
i got it by multiplying 5 by 1.6 so i can change from the unit km to mile
so about the miles per 5 hours just multiply the 8 mph by 5 so it is 40
40miles per 5hrs
hope i made it clear
help please!! im so confused and this is a mid-term for a major grade!!
Answer:
the secend equation
[tex]y = - x + 9[/tex]
Step-by-step explanation:
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Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A
[tex]-2\sqrt{18} +2\sqrt{2}[/tex]
Answer:
- 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify [tex]\sqrt{18}[/tex] using this rule
[tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Then
- 2[tex]\sqrt{18}[/tex] + 2[tex]\sqrt{2}[/tex]
= - 2(3[tex]\sqrt{2}[/tex] ) + 2[tex]\sqrt{2}[/tex]
= - 6[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{2}[/tex]
= - 4[tex]\sqrt{2}[/tex]