Answer:
The group of line segments that could form the other 2 sides of the triangle is;
B. 7 cm and 8 cm
Step-by-step explanation:
The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side
The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm
Let, 'a', and 'b', represent the remaining two sides of the triangle
Therefore, by the triangle inequality theorem, we have;
(1) a + b > 10 cm
(2) 10 cm + a > b
(3) 10 cm + b > a
The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;
7 cm + 8 cm = 15 cm > 10 cm
10 cm + 7 cm = 17 cm > 8 cm
10 cm + 8 cm = 18 cm > 7 cm
9 cm + 10 cm = 19 cm > 10 cm
10 cm + 9 cm = 19 cm > 10 cm
10 cm + 10 cm = 20 cm > 9 cm
Therefore, the possible combination of the other two sides are;
7 cm and 8 cm or 9 cm and 10 cm
However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.
Answer:
B 7cm and 8cm
Step-by-step explanation:
What is the measure of arc AC? Pls explain and I will mark brainliest!
Answer:
D. 146°Step-by-step explanation:
Arcs in the circle sum to 360°
Arc AB = 2*∠C = 2*(48°) = 96°Arc BC = 138° - givenArc AC = 360° - (96° + 118°) = 146°The population of a city decreases by 1.6% per year. If this year's population is 320,000, what will next year's population be, to the nearest individual?
Answer:
314,880
Step-by-step explanation:
If the population decreases by 1.6% per year, this means the population is 98.4% of the population of the previous year. What this means is we can multiply the current population, 320,000, by 98.4/100, as 98.4/100 is equivalent to 98.4%. This gets us 314,880.
Answer:
314880
Step-by-step explanation:
The Beechcraft 1900D is a commuter airplane with a fuel capacity of 665 gallons. The function that represents how the amount of fuel changes as a function of distance flown is f(x)=−0.9x+665, where x represents miles flown, and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?
Given:
The function that represents how the amount of fuel changes as a function of distance flown is
[tex]f(x)=-0.9x+665[/tex]
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
[tex]f(x)=-0.9x+665[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-0.9[/tex]
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.
3x - 6 less than or equal to -3 on a graph
What is the missing value of 5x-2y=30 (8,)
Answer:
In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).
What is the value of x?
Enter
X :
(Look at the photo)
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
What is the y-intercept of y=5x-2
Answer:
the y intercept is -2
Step-by-step explanation:
the y intercept is always the value on the end
Answer slope-intercept form is y = mx+ b y = m x + b, where m m is the slope and b b is the y-intercept. y = mx +b y = m x + b Find the values of m m and b b using the form y = mx+b y = m x + b.
Step-by-step explanation:
PLEASE HELP ASAP Will MAKE BRAINLIST
Answer:
The second answer is correct
In the figure shown below, line “m” and line “n” are parallel what is the value of x?
Answer:
x = 20°
Step-by-step explanation:
3x - 10° + 5x + 30° = 180° { being co-interior angles }
8x + 20 ° = 180°
8x = 180° - 20°
8x = 160°
x = 160° / 8
x = 20°
Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest.
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
I think it is $15
Step-by-step explanation:
Taking the test now.
help me please!!!!!!!!!!!!!!!!
Answer:
The second store is cheaper
1st store is $290 and the 2nd is $257
Carter and his children went into a bakery where they sell cupcakes for $3 each and
cookies for $0.50 each. Carter has $35 to spend and must buy a minimum of 15
cupcakes and cookies altogether. If x represents the number of cupcakes purchased
and y represents the number of cookies purchased, write and solve a system of
inequalities graphically and determine one possible solution. (I need 2 inequality’s)
Expression 3x²+4x-5
x=0
Answer:
x = {1/3, 0}
Step-by-step explanation:
355+480 is the same as 335+ ?
Answer:
355+480 is the same as 335+500
Step-by-step explanation:
355+480=835
835-335=500
∴355+480 is the same as 335+500
3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP
Answer:
Step-by-step explanation:
90(5/6)
450/6
75
9514 1404 393
Answer:
75
Step-by-step explanation:
90 = 6 × 15
There are 15 6-day periods in 90 days. The gardener will have mowed ...
15 × 5 = 75
times in those 15 periods.
He will mow 75 times in a 90-day period.
__
If you like, you can set up a proportion for the unknown number of mowings (m).
mows/days = m/90 = 5/6
Multiply by 90 to solve for m.
m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above
-2(v - 2) = -3 – 2v
Answer:
no solution
Step-by-step explanation:
Given
- 2(v - 2) = - 3 - 2v ← distribute left side
- 2v + 4 = - 3 - 2v ( subtract 4 from both sides )
- 2v = - 7 - 2v ( add 2v to both sides )
0 = - 7 ← not possible
This indicates the equation has no solution
Which equation represents circle A?
(x – 4)2 + (y + 5)2 = 12
(x + 4)2 + (y – 5)2 = 12
(x – 4)2 + (y + 5)2 = 36
(x + 4)2 + (y – 5)2 = 36
Answer:
c on edge
Step-by-step explanation:
just took the quiz
The equation representing the circle A is (x – 4)² + (y + 5)² = 36.
What is circle?A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry.
The general equation of circle is given by equation
( x - h )² + ( y - k )² = r²
Where, ( h, k ) is the centre and 'r' is the radius.
As, the circle has a shift of 4 units on the +x axis.
The circle has a shift of the 5 units on the -y axis.
As, the circle has a radius of 6 units from the graph.
So, (h,k) = (4, -5).
Substitute the values of (h,k) in the general equation of the circle.
( x - 4 )² + ( y - (-5) )² = 6²
( x - 4 )² + ( y + 5 )² = 36
Therefore, the equation of circle becomes ( x - 4 )² + ( y + 5 )² = 36.
To know more about the general form of equation of circle, here
https://brainly.com/question/1506955
#SPJ2
The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house
Answer:
12 i think
Step-by-step explanation:
peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?
5/7 = 35 kg
1/7 = 7 kg
Peter weighs 49 kg
49 - 8 = 41 kg
Ailen weighs 41 kg
49 + 41 = 90kg
Their total weight is 90 kg
Pls help me ASAP thank you!!
Select all that apply.
Which of the following are proportions?
Answer:
A, C and D
Step-by-step explanation:
both A, C and D are both porportions because they both equal the other fraction.
Answer:
1, 3, 4
Step-by-step explanation:
i had this on my test- im doing it rn.
HElppppppppppp
I don’t get it
Answer:
You have to use a cacolator. 5 boxes and its 9 pounds of beans in each. 5x9 is 45 pounds. Rice should be the 80 pounds hope that helps
Step-by-step explanation:
Kaytelyn makes $10 an hour and receives weekly bonus of $25. How many hours dose she need to work this week to make more than $250
Answer:
$22.5
Step-by-step explanation:
[tex]250\leq 10x +25\\225\leq 10x\\x\geq 22.5[/tex]
Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the width of the piece of carpet? Solve this problem any way you choose.
Answer:
The breadth of rectangular carpet is 1.8 m
Step-by-step explanation:
23.4/13=1.8 sorry if this is not enough explanation
Leila bought lunch at school. She had a sandwich and a shake that cost her $8. Her shake cost
$3.75. Solve the equation 8 =s +3.75 to find the cost of Leila's sandwich, s.
Answer: I think that the sandwich is $4.25 (I'm not sure)
Answer:
s=4.25
Step-by-step explanation:
look at the screenshot for the steps! :)
A community service club has 12 seventh-graders and 12 eight-graders. The name of each student is put in a hat, and a name is drawn at random. Which number or number range describes the probability that the student selected is a seventh-grader
Answer:
1/2
Step-by-step explanation:
12 out of 24 is 1/2
The equation represents the area, A, of a rectangle, in square units.
A = x2 – 3 – 6
Which expression could represent the length of the rectangle, in units?
O (2-3)
O (2-2)
Ox
O 6.2
Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test.
What is the measurement of angle B*
A
112
с
51
Someone please helppppp!
Answer:
AB=24.5
Step-by-step explanation:
5x+7=7x
7=2x
x=3.5
7(3.5)=24.5
graph the equation...
0.5s+4a=15
Answer: look at the picture if you want me to solve for s or a here
Step-by-step explanation: hope this help