Which of the following sets of numbers could represent the three sides of a triangle?
Answer:
{5, 15, 19}
Step-by-step explanation:
According to the triangle inequality theorem, the sum of the lengths of any two sides of a ∆ must be greater than the length of the third side.
Thus, any of the given sets of numbers will represent the 3 sides of a ∆, if the following condition is satisfied:
a + b > c
b + c > a
a + c > b
Where a and b are the smaller side lengths, and c is the length of the longest side.
Let's check each set of numbers given to see if any satisfies this condition.
✍️Option 1: {6, 20, 28}
6 + 20 is not greater than 28
20 + 28 > 6
6 + 28 > 20
❌This set of numbers does not represent the sides of a ∆.
✍️Option 2: {4, 11, 15}
4 + 11 = 15
11 + 15 > 4
4 + 15 > 11
❌This set of numbers does not represent the sides of a ∆.
Option 3: {9, 19, 30}
9 + 19 is not greater than 30
19 + 30 > 9
9 + 30 > 19
❌This set of numbers does not represent the sides of a ∆
Option 4: {5, 15, 19}
5 + 15 > 19
15 + 19 > 5
5 + 19 > 15
✅This set of numbers does not represent the sides of a ∆
Only option 4, satisfied the condition stated earlier, therefore, based on the triangle inequality theorem, {5, 15, 19}, is the set of numbers that represents the 3 sides of a triangle.
Can someone please help me with this proof?!
Given: AC and BD bis, each other.
Prove: ABCD is a parallelogram
Answer:
because AC and BD bis => AX = XC; BX = XD
ΔAXD ≅ ΔCXB (SAS) because: AX = CX
DX = BX
m∠AXD = m∠BXC ( 2 opposing angles)
because ΔAXD ≅ ΔCXB (SAS)
=> AD = BC and m∠DAX = m∠BCX
because m∠DAX = m∠BCX => AD//BC
ABCD has AD = BC and AD//BC => ABCD is a parallelogram
Step-by-step explanation:
Which line is perpendicular to y=1/3+9
Answer: The perpendicular slope is [tex]-3[/tex]
Step-by-step explanation:
Find the perpendicular slope (the negative reciprocal of [tex]\frac{1}{3}[/tex]):
[tex]-3[/tex]
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
4 graphs. Graph A is a curved line, graph b is horizontal, vertical, and then horizontal, graph C is a line with positive slope, graph D is a parabola.
Answer:
vertical line
Step-by-step explanation:
If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function.
Answer:
the answer is b
Step-by-step explanation
Help mee pleaseeeeee!!!!
Answer:
c bye have a good day
Step-by-step explanation:
Brenna saved 36% on a $15 pair of sunglasses. Choose the correct expression to find 36% of $15.
A 36 x 15
B 36 x 0.15
C 3.6 x 15
D 0.36 x 15
Answer:
D
Step-by-step explanation:
HoPe THiS hElpSCalculate the side lengths a and b to two decimal places.
Answer:
Can confirm, it’s a=16.23 and b=17.99
Picture shown below help
Answer:
measure of angle 2 and angle 3 are both 97
Step-by-step explanation:
angle 2 and angle 3 are vertical angles
what’s the value of y??
Answer:
90.6
Step-by-step explanation:
that what i think and thanks
5) A firm has $30,000 in a bank account at the beginning of the year. Interest will be paid at a rate of 2% at the end of the year. How much interest will the firm receive for the year?
Answer:
10%
Step-by-step explanation:
10% i think
Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?
k squared minus 4
k cubed minus 4
k squared + 4
k cubed + 4
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
Answer:A. k squared minus 4
Step-by-step explanation:
Please help meeeeeee
I need the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
4x + 6x + y = 180
6x + y = x + 5y
10x + y = 180 ........... (1)
5x - 4y = 0 .............. (2)
(1) - 2 × (2)
y + 8y = 180 ⇒ y = 20
6x + 20 = x + 100 ⇔ 5x = 80 ⇒ x = 16
64° , 116°
“Explain or show why 4:3 and 3:4 are not equivalent ratios.” Pls this is due today at 12:00 p.m
PLEASE HELP ILL GIVE BRAINLEST
Circle the like terms:
⅓ x 4x2 8xy -x -5x
Answer:
8xy im pretty sure
Step-by-step explanation:
5)Ten less than 6 times a number is greater than or equal to 2 more than twice the number.
Answer:
6n-10 >= 2+2x2
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x - 10 ≥ 2x + 2 Subtract 2x from both sides
6x-2x - 10 ≥ 2x - 2x +2 Combine
4x - 10 ≥ 2 Add 10 to both sides
4x - 10+ 10 ≥ 2 + 10 Combine
4x ≥ 12 Divide by 4
4x/4 ≥ 12/4 Combine
x ≥ 3
Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?
find the slope of the graph given below
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
PLEASE HELP I DONT WANT TO FAIL
A rollercoaster rises 160 feet into the air before dropping 190
feet. What is the height of the rollercoaster
Answer:
190
Step-by-step explanation:
27686+05446535
gfytf+ wtdf gufyhfedhe. b1+3533
Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles
B. 240 miles
C. 300 miles
D. 360 miles
Help please!!! Solve for a: a+3(4a+8)=128
Answer:
A= 8 !!
Step-by-step explanation:
Answer:
a=8
Explanation:
distribute and simplify the left side of the equation
a
+
12
a
+
24
=
128
13
a
+
24
=
128
subtract 24 from both sides
13
a
=
128
−
24
=
104
divide both sides by 13
a
=
104
13
=
8
A rectangular prism has a length of 9 units and width of 6 units. The prism has been completely packed with unit cubes. Which statements are correct? Select three that apply.
A. If prism’s height is 12 units, the prism has been packed with 27 unit cubes.
B. If the prism’s height is 15 units, the prism has been packed with 135 unit cubes.
C. if the prism’s height is 18 units, the prism has been packed with 972 unit cubes.
D.if the prism’s height is 21 units. The prism has been packed with 1134 unit cubes.
E. If the prism’s height is 24 units, the prism has been packed with 1296 unit cubes.
F. If the prism’s height is 26 units,the prism has been packed with 156 unit cubes.
Answer: Calculator online for a rectangular prism. Cuboid Calculator. Calculate the unknown defining surface areas, lengths, widths, heights, and volume of a rectangular prism with any 3 known variables. Online calculators and formulas for a prism and other geometry problems.
Step-by-step explanation: mark me branliest
please help ASAP!
i will give brainliest!! :)
Answer:
its c i took the test trust me
Step-by-step explanation:
A line is to be graphed through the point
(–3, 0).
A coordinate plane with a point at (negative 3, 0).
Which points can be used to create a line with an undefined slope through (–3, 0)? Check all that apply.
(–5, –3)
(–3, –6)
(–3, 2)
(–1, 0)
(0, –3)
(3, 0)
Answer:
B and C
Step-by-step explanation:
Answer:
B/C
Step-by-step explanation:
i just did it :)
⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50
Answer:
The answer is A
Step-by-step explanation:
Camie: $5x + $50 = $55 ( for now/i think)
Jorge: $7x
The equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
The correct option is (A)
What is equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.
Given:
Camie saves $5 per week plus $50 she receives for her birthday.
Jorge saves $7 per week.
Now, Jorge have to achieve the same amount as Camie.
let w be the number of weeks.
Then equation can be represented as
7w = 5W + 50
Here 7w is amount by Jorge and 5W + 50 is amount of Camie.
Hence, the equation to represent Jorge has saved at least the same amount as Camie is 7w = 5W + 50.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ2
PLEASE HELP NEED ASAP
write an equation in point slope form to represent a line that passes through the points (-6,-14) and (12,16)
Answer:
y + 14 = 3/5(x + 6)
The perimeter of the rectangle below is 94 units. Find the length of side WX.
Write your answer without variables.
Answer:
24units
Step-by-step explanation:
2(4y + 3) + 2(5y - 1) = 94
18y + 4 = 94
y = 5
WX = 5y - 1 = 5(5) - 1 = 24units
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
First we need to find the value of y .
[tex]Perimeter = 2 \times ( \: (4y + 3) + (5y - 1) \: ) \\ [/tex]
[tex]Perimeter = 2 \times (9y + 2)[/tex]
[tex]Perimeter = 18y + 4[/tex]
Question told us that perimeter is 94 ,
Thus :
[tex]94 = 18y + 4[/tex]
[tex]18y + 4 = 94[/tex]
Subtract sides 4
[tex]18y + 4 - 4 = 94 - 4[/tex]
[tex]18y = 90[/tex]
Divide sides by 18
[tex] \frac{18y}{18} = \frac{90}{18} \\ [/tex]
[tex]y = 5[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The face sides in the rectangular are same.
Thus :
[tex]VY = WX[/tex]
So ;
[tex] WX = 5y - 1[/tex]
[tex]WX = 5(5) - 1[/tex]
[tex]WX = 25 - 1[/tex]
[tex]WX = 24[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
I give Brainliest!
Using Angle Side Relationship Theorem, use the side measures to list the angle measures of the triangle in order from biggest to smallest.
Q
R
P
Answer:
∠Q, ∠P, ∠R
From largest to smallest.
Step-by-step explanation:
Remember that the largest side is always opposite from the largest angle.
26 is the longest side. The angle opposite is 26 is ∠Q. So, ∠Q is the largest angle.
21 is the second longest side. ∠P is the angle opposite to 21. So, ∠P is the second largest angle.
Finally, 17 is the shortest side and ∠R is opposite to 17.
So, ∠R is the smallest angle.
Therefore, the measures of the angles from biggest to smallest is:
∠Q, ∠P, ∠R
f(x)=2(x+2)²-1 determine the vertex (h,k)
Answer:
The vertex will be (-2,-1)
Find the inverse of
y=2x-10
Answer:
[tex]y=\frac{x}{2} +5[/tex]
Step-by-step explanation:
[tex]y=2x-10\\x=2y-10\\x+10=2y\\\frac{x+10}{2} =y\\y=\frac{x}{2} +5[/tex]
First, we swap x and y. Then, we solve for y in the new equation.