Answer:
JNM=42
Step-by-step explanation:
JNM is equal to LNK so you can set the equations equal to each other.
7x-21=4x+6, subtract 4x from both sides
3x-21=6, add 21 to both sides
3x=27, divide by 3
x=9, then you plug it into an equation
4 times 9 + 6
36+6
42
<JNM = [tex]42[/tex] degrees.
What is horizontal angle?The angle made by two ground lines is measured horizontally , and is called a horizontal angle.
According to the question
Line J L and line M K slightly inclined with horizontal intersects at N.
<JNM = <LNK
[tex]4x + 6 = 7x - 21[/tex]
Subtract 4x from both sides
[tex]6 = 3x -21[/tex]
[tex]3x=27[/tex]
Divide by 3
[tex]x=\frac{27}{3}[/tex]
[tex]x =9[/tex]
<JNM = [tex]4x+6[/tex]
<JNM = [tex]4(9)+6[/tex]
<JNM = [tex]42[/tex] degrees
Find out more information about horizontal angle here
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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.
I need this one quick it depends on my first grade for this quarter, What is the equation of the line that passes through the points (4, 15) and (0, 3)?
A.
B.
C.
D.
Answer:
y=3x+3
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.
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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 x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Step-by-step explanation:
1.5x + 6-3= 4.5x- 2
1.5x+3=4.5x-2
we transposed
4.5x-1.5x= 3+2
3x= 5
we divide both sides by 3
3x/3= 5/3
x= 5/3
CAN SOMEONE PLEASE DO THE WORK FOR NUMBER 3 ILL MARK AS BRAINLIEST
Answer:
I THINK its 1.5?
Answer:3/2
Step-by-step explanation:
hope this helps, LOOK AT THE PICTURE
Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas. How much gas would be in the tank after driving for 2 hours? How much gas would be left after tt hours?
Answer: 9
12-1.5t
Step-by-step explanation:
1.5*2=3
12-3=9
1.5*t=1.5t
If he used 3 gallons of gas. Then the amount of the gas in the tank after driving for 2 hours will be 9 gallons.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Mason is driving on a long road trip. He currently has 12 gallons of gas in his car. Each hour that he drives, his car uses up 1.5 gallons of gas.
Then the amount of the gas in the tank after driving for 2 hours will be
The amount of gas used in 2 hours will be
Used gas = 2 x 1.5
Used gas = 3 gallons of gas
Then the remaining amount will be
Remaining amount of gas = 12 - 3
Remaining amount of gas = 9 gallons
More about the Algebra link is given below.
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What is the value of this expression?
6.4−2.4÷0.1
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
What is the slope of the line in the graph? slope =
Is the slope 1/1 or 1
Or do I put both?
Answer:
The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.
Step-by-step explanation:
Plsssssssssss help me!!! I’m not good at algebra!!
What is the value of x?
The screenshot is down below.
Answer:
x=50
Step-by-step explanation:
This is a vertical angle, so the angle on top and the bottom are equal
[2(x+10)]=3x-30
2(x+10)=3x-30
2x+20=3x-30
50=x
Determine which relations represent function if relation is not a function state why not
Does the Tilt of the Earth's axis shine on different latitudes at different angles throughout the Year?
True
False
True
Step-by-step explanation:
cause the tint of the earth's axis dose shine on different latitudes at different angles throughout the year
0.9x+20=830 Solve for X
Answer:
X = 900
Step-by-step explanation:
0.9x = 830 - 20
0.9x = 810
x = 900
What is the division of 6/11? Like how do you solve it with the work.
Answer
0.5454...
Step-by-step explanation:
0.5454
11⟌60000
- 0
60
- 55
50
- 44
60
- 55
50
- 44
6
Simplify this fraction. -8/-4
Answer:
2/1 or 2
Step-by-step explanation:
-8/-4= 8/4= 4/2= 2/1
Hope this helps!
If correct pls mark brainliest:)
Both negatives will eliminate each other, and 8/4 is 2.
2
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:
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
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:
Someone help plz make sure the answers right will mark brainiest:)
someone please help me
Answer is corresponding angle
Is -1/3 - 4/5 positive, negative, or zero?
HELP PLS ILL GIVE BRAINLIEST FOR THE CORRECT ANSWER
Answer:
Negative, -17/15
Step-by-step explanation:
Which is the equation of the function in the graph?
Help me plz
Solve the following equation using the completing the square method:
x2+8x=3
Answer:
x= plus or minus square root of 19 -4
Step-by-step explanation:
x^2+8x ___=3
take half of your b term (8) and then multiply by two and add or subtract it to both sides
x^2+8x+16=3+16
then combine like terms
x^2+8x+16=19
then factor your quadratic equation
(x+4)^2=19
now solve for x
take the square root of (x+4)^2 to get rid of the ^2
you then also have to square the 19 because what you do to one side you have to do to the other
(x+4)= square root of 19
subtract 4 from both sides
x= plus or minus square root of 19 -4
Answer:
Step-by-step explanation:
Divide the coefficient of x by 2
8/2 = 4. Now find the square of 4 = 4² = 16
Add 16 to both sides of the equation
x² + 8x + 16 = 3 + 16
x² + 2* x * 4 + 4² = 19
{Compare with a² + 2ab + b² = (a + b)² }
(x + 4)² = 19
Both sides take square root,
[tex]\sqrt{(x+ 4)^{2}}=\sqrt{19}\\\\x + 4 = \sqrt{19}[/tex]
x + 4 = ± 4.36
x + 4 = 4.36 ; x + 4 = -4.36
x = 4.36 -4 ; x = -4.36 - 4
x = 0.36 ; x = - 8.36
. The area of a rectangle is 8x2 + 10x + 2 cm2. The length is 4x + 2 cm. What is the width of the
rectangle?
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
what does x equal, find the value of x
Answer:
Step-by-step explanation:
180 -
What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, .
Answer:
The common difference is -5
Step-by-step explanation:
45-40=5, 40-35=5, etc.
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
what is 4x + 3x in simplest form
Answer:
7x
Step-by-step explanation:
Answer:
7x
Step-by-step explanation:
4x+3x
4+3=7
add x, same answer of 7x
