Answers
Answer:
8
Step-by-step explanation:
To find the median, look at the line in the box. it lines up with 8 on the number line. Therefore, 8 is the median.
Related Questions
three times the sum of a number squared and 4
Answers
Answer:
2
Step-by-step explanation:
3(N² + 4)
3N² = 12
3N² ÷ 3 = 12 ÷ 3
N² = 4
√N² = √4
N = 2
It took Valerie 80 minutes to drive 120 miles. Which of the following unit rates expresses how fast Valerie was traveling?
60 miles per hour 70 miles per hour
80 miles per hour 90 miles per hour
Answers
Answer:
90 miles per hour
Step-by-step explanation:
Divide distance by time to get speed.
[tex]\frac{120}{80}[/tex]=1.5 miles per minute
60 minutes in an hour
1.5(60)=90 miles an hour
Given f(x) and g(x)
f(x) + k, use the graph to determine the value of k.
Answers
Answer:
k =4
k is the amplitude of f(x)
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
Answers
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.
The measure of the third angle in an isosceles triangle is 55.5 more than the measure of either of the two equal angles. Find the measure of the third angle
Answers
Answer:
The third angle is 97º
Step-by-step explanation:
a triangle has 180º total
so 180-55.5=124.5
124.5÷3=41.5
then add the 55.5 back
41.5+55.5=97
97º
If two angles add up to 180 how many angles are there?
Answers
Answer:
Step-by-step explanation:
According to Supplementary Angles rules: two angles add up to 180
ind all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
Answers
Answer:
All even natural numbersStep-by-step explanation:
This is an AP with:
The first term = 1Number of terms = nCommon difference = 2Find the sum of the first n terms:
[tex]S_n= n(1+2n-1)/2=n^2[/tex]The sum is divisible by 4 if n is even number:
n = 2k ⇒ n² = 4k² ≡ 0 mod 4The question is in the pic! Please help :)
Answers
The answer is D.
If you go to point E and count back 4 units, you will land on point B.
Hope this helps! :)
Which equation best represents the line graphed above?
Answers
Answer: x=2 because for any y value the x value is always 2.
whats 3+6÷2
PLEASE EXPLAIN
Answers
Answer:
6
Step-by-step explanation:
6 devide 2 is 3. 3 plus 3 is 6
Answer:6
Step-by-step explanation: It is solved by BODMAS
BODMAS is a code which means
B= brackets
O=of(*)
D=division
M=multiplication
A=addition
S=subtraction
So first of all 6 divide by 2 then add 3 you will get answer 6
what is an equation of the line in the slope- intersepct is (0,3)
Answers
Answer:
using the formula x/a + y/b =1
a: slope intercept on the x axis
b:slope intersect on the y axis
x/0 + y/3 = 1 (since x/0 is undefined ,the slope doesn't exist and it is impossible for a slope to be linear)
Explain why x2+7x+4=7x has no solutions.
Answers
[tex]x^2+7x+4=7x[/tex]
[tex]x^2+4=0[/tex]
[tex]x^2=-4[/tex]
Square of any real number cannot be negative because - * - = + so this equation has no solutions
During a hot summer week, Mr. Singh sold 60 watermelons. On Monday, he sold
he sold half the number of watermelons he sold on Monday. On Thursday, Mr. Singh sold 18
watermelons. On Tuesday, he sold twice as many watermelons than Monday. On Wednesday,
watermelons. On Friday, he sold four more than twice the amount he sold on Monday and
Tuesday combined. How many watermelons did he sell on Friday?
Help please
Answers
A house was originally listed for sale at $250,00. After 3 months, the seller dropped the price to $235,000. What percent of decrease in the price
Answers
Enter the polynomial function with the least degree and a leading coefficient of 1 that has the given zeros. Enter your answer in standard form. 1,-1(multiplicity 3), and 3i
Answers
Answer:
0
Step-by-step explanation:
What is the weight, in kg, shown by the arrow on the scale below?
See pic attached
Answers
Step-by-step explanation:
according to arrow the weight is 1400 g.
we know,
1 kg = 1000 g
so,
1 g = 1/1000 kg
so,
1400/1000 = 1.4 kg ans
hope this answer helps you dear!
Answer:
1.4 kg
Step-by-step explanation:
1400 grams, to find kg you have to divide by 1000
(2x+3y)²+(2x-3y)²
a) 4(2x)(3y)
b) 4(2x)(4y)
c) 6(3x)(5y)
d) 2((2x)²+(3y)²)
e) 2((x)²+(y)²)
Answers
Answer:
d) [tex]2 ({(2x)}^{2} + {(3y)}^{2} ) \\ [/tex]Step-by-step explanation:
[tex] {(2x + 3y)}^{2} + {(2x - 3y)}^{2} \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\ {4x}^{2} + 6xy + 6xy + {9y}^{2} + {4x}^{2} - 6xy - 6xy + {9y}^{2} \\ {4x}^{2} + 12xy + {9y}^{2} + {4x}^{2} - 12xy + {9y}^{2} \\ {4x}^{2} + {9y}^{2} + {4x}^{2} + {9y}^{2} \\ {8x}^{2} + {18y}^{2} \\ 2( {4x}^{2} + {9y}^{2} ) \\ 2( {2}^{2} {x}^{2} + {3}^{2} {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\[/tex]
Step-by-step explanation:
d num i think 2((2x)^2+(3y)^2)
what is the average hourly pay of someone making $45,000per year. Assuming wage growth of 5% a year, how much would he make the second year
Answers
Answer:
When it’s time for annual performance reviews, if you plan on including pay raises, you need to know the simple math behind calculating pay increases correctly. Raises can be based on any number of things including a worker’s piers, standard industry rates, length of time on the job, the amount of work to do, and even whether or not the boss likes the employee or not. There are few, if any, laws that govern how and when increases are granted, so it’s up to you to determine what you’re willing to give.
Answer:
See belowStep-by-step explanation:
Assume the person works 40 hours a week and 52 weeks a year.
The hourly pay would be:
$45000 ÷ (40*52) = $45000 ÷ 2080 =$21.63The yearly income the second year:
$45000 + 5% = $45000*1.05 = $47250Write the equation of a parabola in vertex form.  vertex (2,3) point (3,-2). F(x)= ?
Answers
Which property of addition is shown here? (4+5)+6=4+(5+6)
Answers
Answer:
I am pretty sure it is Associative property of addition
Step-by-step explanation:
Help this is due tmr!!
Answers
Answer:
A is correct
Step-by-step explanation:
What are the coordinates of the office? Enter the coordinates like this: (x,y) without any spaces. *
Answers
Answer:
Step-by-step explanation:
(6,9) it think its that
Which fraction is equal to 0.7 repeating
Answers
Answer:7/9
Step-by-step explanation:
Answer:
7/9
Step-by-step explanation:
I hope this helps you.
help me please please
Answers
Answer:
9875 dollars I believe is your answer
Answer:
9,875
Step-by-step explanation:
u just multiply the number of boxes by 395
-19=-14v+14v
Solve for V
:) gets brainliest
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Let's solve for v :
[tex] - 19 = - 14v + 14v[/tex]here, the the terms associated with v, that us -14v and 14v gets cancel out, so there's no solution for v and hence it's value can't be determined.
( BRAINLIEST QUEATION)
Find the HCF and LCM of 72 and 56
Answers
for detailed and showed working my answer is in the picture above
lcm = 504
hcf = 8
Answer:
The HCF of 72 and 56 is 8
and, the LCM is 504
4 2/3x4=something/3x4/1=
Answers
Answer:
4 2/3x4= 14x^4/3
3x4/1 = 3^4
Step-by-step explanation:
Can someone help me with part B?? I already did part A
Thank you so much :)
Answers
Answer:
-150
Step-by-step explanation:
this is because you do 250 - 100 which equals -150
In part A you subtracted 100 from 100 giving you 0.
Continuing to part B you would subtract 100 from 250 leaving you with 150.
Find the total cost of a $32 Uber ride with a 15% tip.
Answers
Answer:
$36.8
Step-by-step explanation:
i just calculated it!
32*15% = 4.8
32+4.8= 36.8
Trey is taking his friends out to dinner to celebrate graduation. It will cost him $72 to reserve a table, and another $5 per guest. How many people can he invite if he can only spend up to $130?
Answers
Answer:
11 people
Step-by-step explanation:
first, youd subtract the table reservation price from the max price.
130 - 72 = 58
then, since each person costs $5, you find the highest multiple of 5.
in this case, its 55, which has 11 groups of 5 in it.
to make sure:
you can then subtract 55 from 58 to make sure there isnt any extra 5's.
58 - 55 = 3.