Based on the triangle inequality theorem, the possible values of h in cm is: A. 4x < h < 10x
What is the Triangle Inequality Theorem?Based on the triangle inequality theorem, two sides of a triangle must be equal or more than the third sides.
Given a values of the side lengths of a triangle as, 3x, 6x, and h cm, the possible values would be determined as shown below:
h < 3x + 7x or 7x - 3x < h
h < 10x or 4x < h
The possible values of h would be: 4x < h < 10x.
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Nancy was baking a cake for her mom’s birthday. She spent 1/3 of her time measuring the ingredients and 1/4 of her time mixing. Next, she put the cake in the oven to bake. If Nancy spent 35 minutes altogether on measuring ingredients and mixing them, how much total time did it take her to complete all the steps involved in baking the cake?
What is the measure of m?
m = [?]√
Give your answer in simplest form.
Answer:
[tex]m=4\sqrt{6}[/tex]
Step-by-step explanation:
[tex]n^2 = {8*4}[/tex] (By geometric mean theorem)[tex]\rightarrow n^2={32}[/tex][tex]m=\sqrt{n^2+8^2}[/tex] (By Pythagoras Theorem)[tex]\rightarrow m=\sqrt{32+64}[/tex] [tex]\rightarrow m=\sqrt{96}[/tex] [tex]\rightarrow m=4\sqrt{6}[/tex]Step-by-step explanation:
first find the relation between n,m and x
Ms. Kilicoglu wants to buy a total of 45 volleyballs and basketballs. She has $435 to spend. Each volleyball costs $8 and each basketball costs $11. How many of each type of ball can she purchase?
An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,
x + y = 45
x = 45 - y
Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,
8x + 11y = 435
8(45 - y) + 11y = 435
360 - 8y + 11y = 435
3y = 75
y = 25
Substitute the value of y in the first equation,
x + y = 45
x + 25 = 45
x = 20
Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.
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Explain how the angle-angle-side congruence theorem is
an extension of the angle-side-angle congruence
theorem. Be sure to discuss the information you would
need for each theorem.
These thoughts show you that AAS theorem is straight extension of ASA theorem.
What is Triangle?A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.
ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Consider two triangles ΔABC and ΔA'B'C' .
If m∠A = m∠A'
and m∠B = m∠B'
AB = A'B'
then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.
Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.
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Answer: The Sample Response is the answer Edge uses as a correct answer. Answer varies depending on your response.
Step-by-step explanation:
This answer is correct I got it right on Edge 2022. The proof is down below.
Sample Response: The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.
As long as you explain and include these in your answer it should be correct: (If you decide to answer using your own words)
The interior angles sum to 180 degrees.Solve for the third or unknown angle. The given side becomes the included side.
Hope this helps someone. Good luck! :)
The list price of a commodity is RM420 and the percentage profit is 40%. If the commodity is sold at a discount of 10%, the profit is____.
Answer:
56
Step-by-step explanation:
you first had to get the marked price so t you can get the profit.
just as illustrated in the picture above.
Please help me do the equation and figure out the right solution. I am supposed to be correcting the one in the picture.
Answer:
The correct answer is if you want no roots in the denominator, the correct answer is [tex]\frac{2x}{y}[/tex]* [tex]\sqrt[3]{2y^{2} }[/tex]
Step-by-step explanation:
The mistake is that you can't take a cube root of a square at step 3 when [tex]y^{2}[/tex] is taken out.
a tree surgeon reduces the height of a beech tree by 32%.
the tree is now 4.42m tall.
how tall was it before it was reduced?
Let original Hieght be X
reduction = 32% = 32/100 X
new hieght = 4.42 m
now, 4.42 = X + 32/100 X
4.42 = 132/100 X
X = 4.42 * 100 / 132
X = 3.34 m
Original Hieght = 3.34 m
Determine the period
Answer:
2 units
Step-by-step explanation:
From one crest (high point) to the next crest point is one period....
this covers 2 units on this graph
What is the domain of the function y=√x?
Answer:
[0, ∞)
(all real numbers greater than or equal to 0)
Explanation:
the domain of a function is all possible x-values (and the range is all possible y-values)
We know that you cannot have a negative square root, so all negative x-values are not possible--only values 0 to infinity.
So the domain of this function is [0, ∞).
{ [brackets] in math mean the number is included, (parentheses) in math means the number is not included.}
All [real] numbers ≥ 0
is the domain of y=√x
(written as: all real numbers greater than or equal to 0)
can't understand tbh anyone willing give a go?
Answer:
nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls
total number on rolls on nr.3 and nr.4= 99
Step-by-step explanation:
Calculate the probability for nr.3
Always try to get 100%
1=13%
2=5%
3=?
4=21%
5=19%
6=30%
Add all the percentage
1+2+4+5+6= 88%
now calculate the percentage for nr.3
100%-88%=12%
give a estimated total number of times the dice will land on nr.3 or nr.4 after 300 rolls
nr.3 300x0.12=36rolls
nr.4 300x0.21=63 rolls
total number on rolls on nr.3 and nr.4= 99
find the value of y when x equals 0
-7x+3y=30
The polygon shown is a regular pentagon.
K
108⁰
L
N
M
What is the sum of the measures of all the interior angles of this
pentagon?
OA) 504°
OC) 960°
O B) 540°
OD) 1080°
The sum of the measures of all the interior angles of the pentagon is 540°. Option B
How to determine the sumNote that
Sum of Interior Angles in a Pentagon = 540°
A pentagon is formed from three triangles, so the sum of angles in a pentagon = 3 × 180° = 540°
If one of the interior angles = 108°, then the other two angles = 2 * 108° = 216°
The sum of the interior angles = 108° + 216° = 540°
Therefore, the sum of the measures of all the interior angles of the pentagon is 540°
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A rectangle has a
perimeter of 20 cm.
Its longest side is 6 cm.
What is its area?
Answer:
[tex]\boxed {24 cm^{2}}[/tex]
Step-by-step explanation:
Finding the smaller side :
⇒ P = 2(l + w)
⇒ 20 = 2(6 + w)
⇒ 6 + w = 10
⇒ w = 4 cm
Finding area :
⇒ 6 × 4
⇒ 24 cm²
Use your knowledge to set up equations and solve for the variables.
Answer:
x = 45 degrees
Step-by-step explanation:
Using the alternate exterior angle theorem, the angles are equal. You can set the expressions equal to each other:
3x = x + 90
2x = 90
x = 45
Solve the discriminant
Answer:
a
Step-by-step explanation:
given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
then the discriminant
Δ = b² - 4ac
• if b² - 4ac > 0 then 2 real solutions
• if b² - 4ac = 0 then 2 real and equal solutions
• if b² - 4ac < 0 then no real solutions
given
[tex]\frac{3}{4}[/tex] x² - 3x = - 4 ( add 4 to both sides )
[tex]\frac{3}{4}[/tex] x² - 3x + 4 = 0 ← in standard form
with a = [tex]\frac{3}{4}[/tex] b = - 3 , c = 4
then
b² - 4ac = (- 3)² - ( 4 × [tex]\frac{3}{4}[/tex] × 4) = 9 - 12 = - 3
since b² - 4ac < 0 then equation has no real solutions
Answer:
a. -3; no real solutions.
Step-by-step explanation:
Discriminant
[tex]\boxed{b^2-4ac }\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{When }\:b^2-4ac > 0 \implies \textsf{two real solutions}.[/tex]
[tex]\textsf{When }\:b^2-4ac=0 \implies \textsf{one real solution}.[/tex]
[tex]\textsf{When }\:b^2-4ac < 0 \implies \textsf{no real solutions}.[/tex]
Given equation:
[tex]\dfrac{3}{4}x^2-3x=-4[/tex]
Add 4 to both sides of the equation so that it is in standard form:
[tex]\implies \dfrac{3}{4}x^2-3x+4=-4+4[/tex]
[tex]\implies \dfrac{3}{4}x^2-3x+4=0[/tex]
Therefore, the variables are:
[tex]a=\dfrac{3}{4}, \quad b=-3, \quad c=4[/tex]
Substitute these values into the discriminant formula to find the value of the discriminant:
[tex]\begin{aligned}\implies b^2-4ac&=(-3)^2-4\left(\dfrac{3}{4}\right)(4)\\&=9-(3)(4)\\&=9-12\\&=-3\\\end{aligned}[/tex]
Therefore, as -3 < 0, the discriminant is less than zero.
This means there are no real solutions.
Help I need this today before 12:50pm
1.
Answer:
<B ≅ <F
<C ≅ <G
<D ≅ <H
<A ≅ <E
Explanation:
Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.
You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).
2.
Answer: x = 8 and y = 19
Explanation:
Triangle MLN ≅Triangle SRT
Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.
<M ≅ <S
<S= 93 (Given)
<M=93
<N=63 (Given)
Line segment ML ≅ Line segment SR
Line segment ML = 43
Line segment SR = 3x + y
Now, we need to find the values of x and y.
43 = 3x + y
<M+<N+<L=180 (Interior angles measure of a triangle is always 180)
93+63+z=180
156+z=180
z= 24
24 is the measure of <R.
<R=3x
24=3x
x=8
Now if we plug in the 8, the value of x, into our equation above,
43=3x+y
43=3(8)+y
43=24+y
43-24=y
19=y
3.
Answer:
<K ≅ <M
<J ≅ <N
<Q ≅ <P
<L≅ <L
Explanation:
Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.
4.
Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.
Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?
Step-by-step explanation:
It's answer is x_> -27 by using inequality rule
Is augmented matri invertible if linear system has a unique solution
An augmented matrix is invertible if the linear system has a unique solution.
What is an augmented matrix?
The augmented matrix is known as a rectangular matrix.
The properties of an augmented matrix includes:
The number of columns is equal to the number of variables in the linear equations. The number of rows is the same as the number of linear equations.The rows of the augmented matrix can be also be interchanged.Note that the inverse of a matrix must be unique
And If A is invertible, then its inverse is unique.
If the linear system is unique, then the augmented matrix is invertible.
Thus, an augmented matrix is invertible if the linear system has a unique solution.
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What is the volume of the cone shown below?
A. 1344 cu. units
B. 504 cu. units
C. 4032 cu. units
D. 2016 cu. units
Volume = PI x r*2 x h/3
r = radius which is shown as 8
h is the height which is shown as 63
Volume = 3.14 x 8^2 x 63/3
Volume = 3.14 x 64 x 21
Volume = 4,220.16 cubic units.
Find the area of a regular octagon with an apothem of 2 cm.
The area of a regular octagon with an apothem of 2 cm is 3cm ^2.
The area of a regular octagon with an apothem of 2 cm.
Given the apothem length,
What is the area of the regular polygon?the area of a regular polygon becomes,
[tex]A=\frac{1}{2}\times P\times A[/tex]
P= the perimeter of the regular polygon
A is the apothem of the regular polygon
Here, we get
p=2=2cm, a=3cm.
So, plugging in the given values, we get
[tex]A=\frac{1}{2} \times 2cm\times 3cm[/tex]
A=1cm⋅3cm
A=3cm^2
Therefore the area of a regular octagon with an apothem of 2 cm is 3cm ^2.
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Can anyone help me with this it would be great.
Answer:
11. The student put 24 as the diameter instead of the radius.
12. 48 pi
Step-by-step explanation:
The formula for the circumference of a circle is c = pi x diameter.
However, the question says that the radius is 24m, not the diameter.
To fix it, all you need to to is double the radius to get 48m for the diameter.
48 x pi = 48 pi
Answer:
The error is that he made the radius a diameter.The circumstances is 150.8571428 mStep-by-step explanation:
π = 22/7 or 3.14
Circumference= diameter × 22 / 7
= 2 × radius × 22 / 7
= 2 × 24 × 22/ 7
= 48 × 22 / 7
= 48 / 1 × 22 / 7
= 1056 / 7
= 150.8571428 m
Shea and Chris drive to work.
Shea drives 30 miles in 1.25 hours.
Chris drives 62 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Answer:
11.2 km/hr
Step-by-step explanation:
Shea's speed: 48km/1.25hr=38.4 km/hr
Chris's speed: 62km/1.25hr= 49.6 km/hr
Vav= 49.6-38.4= 11.2 km/hr
Complete the proof that ∠PST≅∠QRT.
S
P
Q
R
T
Answer: Transitive property of congruence
Answer:
5. Substitution
6. Substitution
Step-by-step explanation:
The properties of congruence generally match those of equality;
A ≅ A . . . . reflexive property
A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property
A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution
__
In this proof, the conclusions (statements 5 and 6) are based on substitution. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.
PLEASE HELP MAX POINTS AND BRAINLIEST!!!
(04.03 MC)
A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:
f(d) = 7(1.06)d
Part A: When the biologist concluded her study, the radius of the algae was approximately 13.29 mm. What is a reasonable domain to plot the growth function? (4 points)
Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)
Part C: What is the average rate of change of the function f(d) from d = 4 to d = 11, and what does it represent? (4 points)
#1
As d is days
So days can't be negative
hence domain is W or Whole numbers set.
But according to the equation
y=7(1.06)^d13.29=7(1.06)^d1.06^d=1.898dln1.06=ln1.898d=1.79Round to next whole as it's no of days
d=2
Domain=[2,oo)
#b
Put d=0
f(0)
7(1.06)^(0)7It passes through (0,7)
But 0 is not in domain ,hence no y intercept in real
#C
f(11)
7(1.06)¹¹13.28f(4)
7(1.06)⁴8.83Rate of change
f(11)-f(4)/11-413.28-8.83/70.6It represents change in radius
help please ……………………
Answer:
y = 20 , x = 30
Step-by-step explanation:
they're equilateral triangles, meaning that each angle MUST be the same (60 Degrees).
So y = 20
And x = 30
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?
A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.
What are Variables ?Variables are generally alphabets that are used to denote the unknown values in any process or equation.
If Jack is x years old
Todd is y years old
Todd is 3 years older than his brother Jack.
a rule that relates their ages over time is given by
y = x+3
When Jack is 28 years old
Todd will be
y = 28+3
y = 31 years
Therefore Todd will be 31 years old.
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there are 3 3/4 cookies. if there is 1/4 of a cookie in each bag, how many bags are there?
Answer:
15 bags
Step-by-step explanation:
3 = 12/4
3 3/4 = 3+3/4 = 12/4 + 3/4 = (12+3)/4 = 15/4
(15/4) ÷ (1/4) = 15
The graphs below have the same shape. The equation of the blue graph is f(x)
=|x|. Which of these is the equation of the red graph, g(x)?
y f(x) = |x|
A. g(x)=|x-5|
B. g(x)=|xl-5
C. g(x)=|x + 5|
D. g(x)=|x|+5
The required correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units.
What are functions?Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Since both graphs have the same shape, the red graph is a transformation of the blue graph.
When we compare the two graphs, we can see that the red graph is shifted horizontally to the left by 5 units. This means that the equation of the red graph must involve the term "x+5" or "x-5" in some way.
Also, we can see that the red graph intersects the y-axis at the point (0, 5). This means that the equation of the red graph must involve the term "+5" in some way.
The correct answer is C. g(x) = |x + 5|. This equation satisfies both conditions we identified above: it involves the term "x+5", and it shifts the graph of f(x) = |x| to the left by 5 units. When we plot this equation, we get a graph that has the same shape as f(x) = |x|, but is shifted to the left and intersects the y-axis at (0, 5).
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find the inverse of the given function f(x) = (-2x+1)^2 where x _< 1/2
Answer:
((√x) - 1 )/-2 = y (3rd answer)
Step-by-step explanation:
Swap the x and y in the original equation:
x = (-2y+1)^2
√x = -2y + 1
((√x) - 1 )/-2 = y
I believe the final answer is the third answer.
(-7)(-7)(3) integer operations
Answer:
-×-=+
49×3
147
Step-by-step explanation:
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