Answer: y≥2
Step-by-step explanation:
Step-by-step explanation:
[tex]2y \geqslant 4[/tex]
[tex]y \geqslant \frac{4}{2} [/tex]
[tex]y \geqslant 2[/tex]
17. Determine if the following segments can or cannot be a triangle.
3 m., 4 m., and 1 m.
⬜ Yes ⬜ No
12 ft., 3 ft., and 11 ft.
⬜ Yes ⬜ No
24 in., 13 in., and 5 in.
⬜ Yes ⬜ No
9.81 m., 16 m., and 6.19 m.
⬜ Yes ⬜ No
5 yds., 13 yds., and 10 yds.
⬜ Yes ⬜ No
2.5 cm., 2.5 cm., and 2.5 cm.
⬜ Yes ⬜ No
6 mm., 4 mm., and 9 mm.
⬜ Yes ⬜ No
7 ft., 7 ft., and 7 ft.
⬜ Yes ⬜ No
Answer:
Step-by-step explanation:
1. 5 cm, 7 cm, 10 cm
SOLUTION:
The sum of the lengths of any two sides of a triangle
must be greater than the length of the third side.
5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
Thus, you can form a triangle with side lengths 5 cm,
7 cm, and 10 cm.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
PROOF Write a two-column proof.
5. Given:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Substitution Property.)
ANSWER:
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
No;
9. 2.1 in., 4.2 in., 7.9 in.
ANSWER:
No;
10.
No;
11.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
ANSWER:
4 ft < n < 12 ft
13. 5 m, 11 m
ANSWER:
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
ANSWER:
17.
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. (Conv. Isos. Thm.)
3. BC = BD (Def. of segments)
4. AB + AD > BD ( Inequal. Thm.)
5. AB + AD > BC (Subst.)
19. Given:
Prove: KJ +KL> LM
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequality Thm.)
4. KJ + KL > LM (Substitution Property)
ANSWER:
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
Notice that is always true for any whole
number measure for x.The range of values that
would be true for the other two inequalities is
and , which can be written as
.
ANSWER:
6 < x < 17
21.
ANSWER:
22. TRAVEL Keyan wants to take the most efficient
route from his hotel to the hockey game at The
Sportsplex. He can either take Highway 521 or
take Highway 3 and Route 11 from his hotel to the
arena.
a. Which of these two possible routes is the shorter?
Explain your reasoning.
b. Suppose Keyan always drives the speed l
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
1. 5 cm, 7 cm, 10 cm
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
ANSWER:
B
Given:
Prove: YZ + ZW > XW
Proof:
Statements (Reasons)
1. (Given)
2. XW = YW (Def. of segments)
3. YZ + ZW > YW ( Inequal. Thm.)
4. YZ + ZW > XW (Subst.)
Is it possible to form a triangle with the given
side lengths? If not, explain why not.
6. 4 ft, 9 ft, 15 ft
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
SOLUTION:
T
No;
9. 2.1 in., 4.2 in., 7.9 in.
No;
10.
ANSWER:
No;
11.
.
ANSWER:
Yes;
Find the range for the measure of the third side
of a triangle given the measures of two sides.
12. 4 ft, 8 ft
4 ft < n < 12 ft
13. 5 m, 11 m
6 m < n < 16 m
14. 2.7 cm, 4.2 cm
ANSWER:
1.5 cm < n < 6.9 cm
15. 3.8 in., 9.2 in.
13.
ANSWER:
5.4 in. < n < 13 in.
16.
Proof:
Statements (Reasons)
1. (Given)
2. JL = LM (Def. of segments)
3. KJ + KL > JL ( Inequal. Thm.)
4. KJ + KL > LM (Subst.)
SENSE-MAKING Determine the possible
values of x.
20.
SOLUTION:
Set up and solve each of the three triangle
inequalities.
ANSWER:
6 < x < 17
21.
ANSWER:
Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5
2. 3 in., 4 in., 8 in.
ANSWER:
No;
3. 6 m, 14 m, 10 m
ANSWER:
Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6
4. MULTIPLE CHOICE If the measures of two
sides of a triangle are 5 yards and 9 yards, what is
the least possible measure of the third side if the
measure is an integer?
A 4 yd
B 5 yd
C 6 yd
D 14 yd
The correct option is B.
ANSWER:
B
ANSWER:
No;
7. 11 mm, 21 mm, 16 mm
SOLUTION:
ANSWER:
Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11
8. 9.9 cm, 1.1 cm, 8.2 cm
ANSWER:
No;
9. 2.1 in., 4.2 in., 7.9 in.
0.9x+20=830 Solve for X
Answer:
X = 900
Step-by-step explanation:
0.9x = 830 - 20
0.9x = 810
x = 900
Asking again cause some idiot broke my other question, What is the equation of the following graph in vertex form?
parabolic function going down from the left through the point zero comma twelve and through the point two comma zero and turning at the point four comma negative four and going up through the point six comma zero and continuing towards infinity
Courtesy of Texas Instruments
y = (x − 4)2 − 4
y = (x + 4)2 − 4
y = (x + 2)2 + 6
y = (x + 2)2 + 12
Answer:
Hi there!
The vertex form equation is y=a(x-d)^2+c where the vertex is (d, c).
The vertex is always the turning point when the y-values start to travel in the opposite direction from which they began traveling on the opposite side of the turning point. Therefore the point (4, -4) is the vertex.
y=a(x-4)^2-4
We can sub in a point on the graph in order to solve for the a-value. Let's use (6, 0), and sub that in for x and y.
0=a(6-4)^2-4
0=a(2)^2-4
4=4a
a=4/4
a=1
Therefore the equation is y=(x-4)^2-4
Hope this helps!
Step-by-step explanation:
will give brainlist 2 best answer
Reflect (7, 3) in (a) the x-axis and (b) the y-axis.
a. x-axis reflection: ( , )
b. y-axis reflection: ( , )
Answer:
(a) (7, -3)
(b) (-7, 3)
Step-by-step explanation:
Simplify the expression 3/2(5/3)−1 1/4+1/2 . Given the answer as a simplified fraction.
The simplified expression is a/b .
Answer:
3/2(5/3) - 1 1/4 + 1 1/2
= 11/4
Step-by-step explanation:
Plot the point (11, 7) on the coordinate plane.
Answer:
Step-by-step explanation:
When you're asked to plot a point on a coordinate plane just remember that the coordinate given is of the form [tex](x,y)[/tex].
So, first, we need to plot 11 on the [tex]x[/tex]-axis (the line going left to right, horizontal) then plot 7 on the [tex]y[/tex]-axis (the vertical line)
So we first go 11 units to the right along the [tex]x[/tex]-axis then go up 7 units along the [tex]y[/tex]-axis.
Hope this helped.
Plot a point on a coordinate plane just remember that the coordinate given is of the form . Follow this simple steps and the image given below.
Identity the variable range .Determine the scale of the graph.Number and label each axis and title of the graph.Show the positive and negative x-axis and y-axisFirst , find the value of x on the x-axis . give x = 11 .Find the value of y on the y-axis . given y = 7.Mark the point x=11 in the positive x - axisMark the point y=7 in the positive y - axis,.After this meet the points by the help of scale and write the co-ordinates.For more details about graph plot click the link given below.
https://brainly.in/question/10164601
look at the image and answer please .
Answer:
(-2, 0)
Step-by-step explanation:
Least to greatest 3%,00.8,2/50
Answer:
3% , 2/50 , 0.08
Step-by-step explanation:
I believe the easiest way to go about this is to convert all the numbers t0o decimals!
0.08 is already given, so we just need to figure out what 3% and 2/50 are in decimal form.
When converting percents to decimals, a good rule of thumb to remember is to divide the percent by 100.
3 ÷ 100 = 0.03
For fractions, simply divide the numerator by the denominator:
2 ÷ 50 = 0.04
Now we just order the numbers based on their value...
0.03, 0.04, 0.08
So the final answer should be:
3% , 2/50 , 0.08
Hope this helps :D
9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
Answer:
55.2
Step-by-step explanation:
First Multiply
9.2*6
Answer:52
Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
a boat traveled 14 miles per hour downstream. the trip upstream was at a speed of 10 miles per hour. what is the speed of the boat in still water? what is the speed of the current
Answer:
(im not sure what the first question is asking me)
Speed of the current is 2 miles per hour
Step-by-step explanation:
The reason the current is 2 miles per hour is because it when going down stream they were going 14 miles per hour, going upstream they went 10. The difference is 4mph. So if the current pushes you 2mph when going down stream and holds you 2 mph when going up, the constant speed is 12mph then you add and subtract 2 becuase of the two directions youre traveling. hence 10mph and 14mph.
At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that
each cost the same amount, but each was $1.50 less than the items that Beast Boy bought. Both Beast Boy
and Cyborg paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Beast Boy's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) What was the individual cost of each person's items? State the solution in complete sentences.
Answer:
slow down plz
Step-by-step explanation:
there ain't no way that is ur work
What is the value of this expression?
6.4−2.4÷0.1
Lois is baking pies and cakes for a family party. The pie recipe calls for cups
of vegetable ol, and the cake recipe calls for 1 cups of vegetable oil. If Lois
wants to bake 2 pies and 2 cakes, how many cups of vegetable oil does she
need?
Answer:
the answer to your question is is 5 and more
2% of what amount is $200
Answer:
200×100÷2=10000
Step-by-step explanation:
i think that is right
8/5 minus 1/6 their are four answers 22/15 43/30 1/6 or 48/30
Answer:
43/30
Step-by-step explanation:
please help, lots of points!!!
v₁ = at + v₀
Step-by-step explanation:
[tex]\begin{aligned}\tt a&=\tt\frac{v_1 - v_0}{t}\\\tt a\cdot t&=\tt v_1 - v_0\\\tt a \cdot t +v_0&=\tt v_1\end{aligned}[/tex]
Please solve the math problem... I will mark you brainliest
Answer: the solution set is {19}
Step-by-step explanation:
AC = DF
6x+41=8x+3
-2x=-38
x = 16
POSTING THIS AGAIN PLEASE I NEED HELP I CAN'T FAIL THIS TEST
1) Which set of equations shows a way to find 729 : 9? 721 : 7 = 103 8: 2 - 4 . 729 : 3 = 243 729 ; 3= 243 So, 729 : 9 = 103 + 4 So, 729 : 9 = 243 + 243 720 : 9 = 80 9 : 9 = 1 72 :9= 8 9:9=1 So, 729 : 9 = 80 +1 So, 729=9= 8+1
Answer:
729 : 9 = 80 +1 is correct
La gran pirámide de Guiza se terminó de construir alrededor del año 2570 antes de nuestra era ¿Cuántos milenios han transcurrido desde entonces?
Answer: La Gran Pirámide de Giza se terminó en 2490 a. C.
Tiempo necesario para construir la Gran Pirámide de Giza: 2550 a 2490 a. C.
Chicken Itza se construyó alrededor del año 600 d.C.
Step-by-step explanation:
leo writes the incorrect equation below. how can leo change the equation to make it true
ummmm where is equation
my own
2x = 9 and x = 3
it shld be 3x instead of 2x
someone please help me
Answer is corresponding angle
PLEASE PLEASE HELP ME
A pole that is 3m tall casts a shadow that is 1.56m long. At the same time, a nearby building casts a shadow that is 47.45 long. How tall is the building? Round your answer to the nearest meter.
Answer:
49.0?
Step-by-step explanation:
its probably wrong lol
I would say 50 meters
I needdddddd help! Please : )
Answer:
Stop being so desperate.
Step-by-step explanation:
Determine which relations represent function if relation is not a function state why not
Write an equation in slope intercept form that contains the points (-6,3) and
(-2,1)..
Answer:
y= (-1/2)x+1
Step-by-step explanation:
The general equation of a line in the slope intercept form is y= mx+b, where
m = the slope, and b = y-intercept (where the line crosses the y-axis)
for points (x1 = -6, y1 = 3) and (x2 = -2, y2 = 1)
m= (y2-y1)/ (x2-x1) = (1 - 3)/ (-2 - -6) = -2 / 4 = -1/2
the equation is now y= (-1/2)x+b
substitute the x and y coordinates of any of the points in the equation
for point (-2, 1) we will have 1 = (-1/2)(-2)+b, so b=1
The equation in slope intercept form that contains the points (-6,3) and
(-2,1) is y = (-1/2)x+1
Copy the picture and put a dot on where i put it
Step-by-step explanation:
This is the best I could do. Good luck!
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
Median. Explanation to each part below.
Step-by-step explanation:
a) Starting with calculating the mean, which is all the values added divided by the number of values (in this case he has 6 scores total).
[tex]mean/average=\frac{81+87+93+89+61+81}{6} =\frac{492}{6} = 82[/tex]
b) To find the median, arrange all the test scores in increasing order and find the middle/median value. We have 6 scores, so we will have 2 middle scores. If we had 7 scores, we would find only 1 score in the middle which would be the median. We will have to find the average of the two scores.
[tex]61,81,81,87,89,93[/tex]
The middle values will be 81 and 87 so find the average of those 2 scores.
[tex]Median: \frac{81+87}{2} =\frac{168}{2} =84[/tex]
c) The mode is the score which occurs the most. In this case, Jack has 2 scores that are 81, which is his mode.
d) The measure that would make his performance sound good would be the median. The mode and mean are below the score of 84 that he gets for the median. He would want to flaunt this measure to show he performs well.
The graph of a linear function f passes through the point (3, -10) and has a slope of -5. What is the zero ?
A. 1
B. -1
C. 5
D. -5
Really need help.
Answer:A
Step-by-step explanation:
I wrote an equation to show that two amounts were equal.
Answer:
what equation?
Step-by-step explanation:
Can't remember how we did it in 7th grade now these 9th graders are doing it and I don't remember.
Any ways to help?
