========================================================
Explanation:
Add the first two sides to get 7+10 = 17 which is larger than the third side (9)Add the first and last sides to get 7+9 = 16 which is larger than the second side (10)Add the last two sides to get 10+9 = 19 which is larger than the first side (7)As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.
In general the triangle inequality theorem is:
a+b > ca+c > bb+c > aThe order doesn't matter. All that's important is that all three conditions are met.
Points J and K are midpoints of the sides of triangle FGH.
Triangle F G H is cut by lines segment J K. Point J is the midpoint of side G H. Point K is the midpoint of side H F. Line segments G J and J H are congruent. Line segments H K and K F are congruent. The Length of J K is 2 y + 5 and the length of G F is 5 y + 3.
What is the value of y?
2
5
7
8
Answer:
C. 7
Step-by-step explanation:
Points J and K are midpoints of the sides of triangle FGH.
=> JK = 1/2FG
2y + 5 = 1/2(5y + 3)
4y + 10 = 5y + 3
5y - 4y = 10 - 3
y = 7
The value of y is 7 for the given triangle.
What are the properties of Triangle?The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
We know that GJ = JH, and HK = KF.
Also, J and K are midpoints of GH and HF, respectively.
Therefore, we can say that:
GJ + JH + HK + KF = GF
2(GJ + HK) = GF
2(2y + 5) = 5y + 3
4y + 10 = 5y + 3
y = 7
Therefore, the value of y is 7.
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A shark can swim at a speed of 172 miles per hour. At this speed, how far does it travel in 5 hours? 2
Answer:
860 miles
Step-by-step explanation:
172 miles per hour x 5 hours = 860 miles
Answer:
860 miles
Step-by-step explanation:
172 x 5 = 860
the shark has moved 172 miles in one hour, so to figure out how far it has traveled in 5 you can multiply the speed by the time.
(PLS HELP ASAP ⚠️⚠️)
ITS IXL
What is the result of adding -2.9x + 6.8 and 4.4x - 7.3
1.5x-0.5 should be the answer
When I see an equation with parentheses, I need to use the Distributive Property.
O True
O False
A convex pentagon has interior angles that measure 60, 80, 120, and 140. What is the measure of the fifth interior angle?
A convex pentagon has interior angles that measure 60, 80, 120, and 140. What is the measure of the fifth interior angle?
Explanation -:Given -
First interior angle = 60°Second interior angle = 80°Third interior angle = 120°Fourth interior angle = 140°To Find -
Fifth interior angleSolution -
Let us assume fifth interior angle as x
We know,
Sum of interior angles of a pentagon is 540°
60° + 80° + 120° + 140° + x° = 540°
→ 400° + x° = 540°
→ x° = 540° - 400°
→ x = 140°
Fifth interior angle of a pentagon = 140°
[tex] \rule{185pt}{7pt}[/tex]
Solve for x and y.
y
6
X
2
X=
(Simplify your answer. Type an exact answer, using radicals as needed.)
Answer:
How to solve your problem
Step-by-step explanation:
1.1 x2 multiplied by x1 = x(2 + 1) = x3
Final result
y6x3
Find the area of a triangle
Answer:
½*b*h
Step-by-step explanation:
½*base*height
you can use the above formula to answer the following questions.The Thompson family was moving and hired Town Movers to move them for a fee of $30 plus $15 per hour. City Movers called and offered a fee of $72 plus $8 an hour, which they thought might be a better deal. The family made a graph of the two offers. When would City Movers be the better deal?
If the Thompsons need the movers for more than 6 hours, City movers would be the better deal. Therefore, option D is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Given that, the Thompson family was moving and hired Town Movers to move them for a fee of $30 plus $15 per hour.
Let the number of hours be x.
Now, 30+15x
Movers called and offered a fee of $72 plus $8 an hour, which they thought might be a better deal
72+8x
From the graph, both the movers have same charge at 6th hour and City movers charge is decreasing then compare to Town Movers.
Therefore, option D is the correct answer.
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find the centrroid of the triangle with the given vertices F(1, 5), G(-2, 7) and H(-6, 3)
[tex]\qquad \textit{Centroid of a Triangle} \\\\ \left(\cfrac{x_1+x_2+x_3}{3}~~,\cfrac{y_1+y_2+y_3}{3}~~ \right)\quad \begin{cases} F(\stackrel{x_1}{1},\stackrel{y_1}{5})\\\\ G(\stackrel{x_2}{-2},\stackrel{y_2}{7})\\\\ H(\stackrel{x_3}{-6},\stackrel{y_3}{3}) \end{cases} \\\\\\ \left( \cfrac{1-2-6}{3}~~,~~\cfrac{5+7+3}{3} \right)\implies \left( \cfrac{-7}{3}~~,~~\cfrac{15}{3} \right)\implies \left( -2\frac{1}{3}~~,~~5 \right)[/tex]
Factor x^2 + 9 in the complex numbers.
Answer:
Multiply
3
by
−
1
.
(
x
+
3
i
)
(
x
−
3
i
)
help please i beg you!!
Answer:
Step-by-step explanation:
-x + 3y =9
substitute y with 2/3x as mentioned in the question
so,
-x+3 (2/3x) = 9
cancelling 3 we get..
-x+2x=9
x=9
hope it helps
thanks
Answer:
y = 6
Step-by-step explanation:
- x + 3y = 9 ( add x to both sides )
3y = 9 + x → (1)
y = [tex]\frac{2}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
3y = 2x → (2)
substitute 3y = 2x into (1)
2x = 9 + x ( subtract x from both sides )
x = 9
substitute x = 9 into (1)
3y = 9 + 9 = 18 ( divide both sides by 3 )
y = 6
What is 1 3/8 equals to
Answer:
1.375 in decimal form
Step-by-step explanation:
What is the ratio of the Patio?
Answer:
B
Step-by-step explanation:
the are of the square would be: 4*6=24
the are of one triangle would be: (6*2)/2=6 (12 in total because there are two triangles
to find the whole area, you add 24 and 12 which is B) 36 meters squared
Why is math literacy important?
Answer:
Math literacy (also known as numeracy) means having the ability to problem-solve, reason, and analyze information.
Step-by-step explanation:
The ratio of the number of pears to the number of oranges in a basket
is 5:3. The rest of the fruits are apples. There are 54 more pears than
oranges and 3 more apples than oranges.
(a) How many pears are there in the basket?
(b) What percentage of the fruits are apples?
Answer:
(a) 135
(b) 28%
Step-by-step explanation:
We can write equations relating pears to oranges, solve them, and then find the number of apples. Let p, o, and 'a' represent the numbers of pears, apples, and oranges.
p/o = 5/3 . . . . . the ratio of pears to oranges is 5:3
p -o = 54 . . . . . there are 54 more pears than oranges
a -o = 3 . . . . . . there are 3 more apples than oranges
__
a)Multiply the first equation by 3/5o to get ...
3/5p = o
Substitute that into the second equation:
p -(3/5)p = 54
2/5p = 54 . . . . . . simplify
p = 54(5/2) = 135 . . . . multiply by 5/2 to get the number of pears
There are 135 pears in the basket.
__
b)a = 3 +o = 3 +3/5p = 3 +3/5(135) = 3 +81 . . . . solve for the number of apples
a = 84
The percentage of fruits that are apples is ...
apples/total = 84/(135 +81 +84) = 84/300 = 28/100 = 28%
28% of the fruits are apples
what’s the answer? its due in 5h
Answer:
Andre scored 14 points
Step-by-step explanation:
We make an equation describing the problem:
x + 9 = 5 + 9
x = 14
We compare Noah and Andre by doing:
2x + 10
and x = 5
This means Diego scored 5 points.
Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in slope intercept form. State the slope and y-intercept. (1,-3) (0,-1)
Answer:
Step-by-step explanation:
Consider a game board that has 49 squares. You place 1 grain of wheat on the first square, 2 on the next, 4 on the next, 8 on the next, and so on to the 49th square. How many total grains of wheat will there be? Write your answer using scientific notation.
Approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.
Describe Geometric Series?A geometric series is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This constant is called the common ratio, and it is denoted by the letter "r".
The formula for the sum of the first n terms of a geometric series is:
S_n = a(1 - rⁿ)/(1 - r)
where S_n is the sum of the first n terms, a is the first term of the sequence, r is the common ratio, and n is the number of terms in the series.
The number of grains of wheat on each square of the board can be found by raising 2 to the power of the square number minus 1. For example, the number of grains of wheat on the first square is 2⁰ = 1, the number on the second square is 2¹ = 2, the number on the third square is 2² = 4, and so on.
So, the total number of grains of wheat on the board is the sum of 2⁰ + 2¹ + 2² + ... + 2⁴⁸. This is a geometric series with first term 1 and common ratio 2. Using the formula for the sum of a geometric series, the total number of grains of wheat is:
2⁰ + 2¹ + 2² + ... + 2⁴⁸ = (2⁴⁹ - 1)/(2 - 1) = 2⁴⁹ - 1
This is approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.
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Amy and Jack have candies in a ratio of 1:3. Together, they have a total of 40 candies. How many candies does Amy have?
Amy has 10 candies.
Jack has 30 candies.
1 out of 4 is Amy's
3 out of 4 is Jack's
Amy's = 1/4×40=10
Jack's = 3/4×40=30
A triangle is equilateral if
sides are the same length.
What is the area of the shaded region of the figure pictured? Round your answer to the nearest tenth.
Answer:
use Pythagoras to find diameter of circle.
use half of diameter as radius to find area of circle.
subtract area of square from area of circle.
the steps are very simple so I didn't want to waste time drawing it out. added a photo outlining each step for you. feel free to ask if you need a step explained
A server makes $200 a week working at a local restaurant. The server saves 35% of the $200 weekly earnings each week for 4 weeks.
If the server saves 78 of the 5th week’s $200 earnings, how much money will the server have saved in total after the 5 weeks?
please i need help and i taking a test
Answer:
He would of saved 455$
Step-by-step explanation:
Because for 4 weeks he saved 35% of 200$ which would be 70 and 70+70+70+70 is 280$ and then he saved 175 dollars on the 5th week because 7/8 of 200 is 175 so 280+175= 455
I hope this helps!
the squar of any rational number is non negative
[tex]\mathbb{FINAL\:ANSWER:}[/tex]
[tex]\huge\boxed{\sf{True}}[/tex]
[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]
Hi! Hope you are having a nice day!
Yes, the square of a rational number is always positive.
We know that a negative times a negative equals a positive only.
Well, a negative squared also equals a positive.
For example, (-4)² is equal to 16.
Because
(-4)×(-4)=16
A negative times a negative is a positiveHope you could understand everything.
#CarryOnLearning
Janelle plans to paint her bedroom, which is the shape of a
rectangular prism. Its length is 10 feet, its width is 12 feet, and the
ceilings are 9 feet tall. She does not need to paint the floor or ceiling. How many square feet of wall space will she be covering?
Answer:
19 feet tall
Step-by-step explanation:
What is the y-intercept in y= -2x + 5
Answer: 5
Step-by-step explanation:
the y intercept is the "b" value in the form y = mx + b
Write this in an equation: 5 less than a number is twice the sum of that number and 9
Answer:
n-5=2n+9
Step-by-step explanation:
PLEASE HELP!
In the drawing, the symmetries of the sides AB and AC of triangle ABC intersect at point O and <MAN = 84°. Find the magnitude of:
A) <BOC B) <MON
Answer:
∠BOC = 96°∠MON = 48°Step-by-step explanation:
Really Easy, Help pleaseee
1 minute = 0.25km
Step-by-step explanation:
divide both numbers that were given by 8. 8÷8 is 1 and 2÷8 is 0.25.
what is the volume of 5cm 2cm 8cm.
Answer:
80 cm
Step-by-step explanation:
(5 x 8) x 2
40 x 2
80 cm
Answer:
80cm
Step-by-step explanation:
5x8=40x2=80cm