Answer:B
Step-by-step explanation:
2. Theorem 2-10 states that through a point not on a line, there
is one and only one line parallel to the given line. How does this
justify the construction of the line through C that is parallel to
the line AB?
When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.
When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.
The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.
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I'm thinking of a number that is 24 hundred less than half of 860 tens. what is my number?
Answer:
the answer is 4276, hope this helps :)
-16=m/5 -18 prove m=10
Answer:
[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]
Step-by-step explanation:
Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]
1. The first is sum both sides by 18
[tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]
2. The second is multiply both sides by [tex]5[/tex]
[tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]
So of this way you can proof that [tex]m = 10[/tex]
x =
A )10
B) 8
C) 9
Help me please this note is just so it will stop saying this is to short
Answer:
8
Step-by-step explanation:
it just makes sense, 5=10, therefore 4=8.
Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=
Step-by-step explanation:
4+(3+2)2
4+(5)2
4+10
14
Faz a continha de 86496÷6 pra hoje pfvr
Answer:
14416
Step-by-step explanation:
youre welcome
Answer:
14416
Step-by-step explanation:
check the steps for answers
QuestionSolve the system of linear equations by substitution.8x−13y=012x+3=y
Answer:Y=6/37
Step-by-step explanation:
2. The perimeter of a rectangle is 56m. The length is two less than four times the width. Find the length.
Answer:
Length=22 cm
Step-by-step explanation:
Perimeter=56 cm
let width=x
According to given condition:
length=4x-2 ...........(A)
Perimeter=2(length+width)
Substitute the values in above formula:
56cm=2(4x-2+x)
56cm=2(5x-2)
56cm=10x-4
(56+4)=10x
60 cm=10x
x=60cm/10
x=6cm
For the value of length :
Substitute the value of x in equation (A):
Length=4x-2
Length=4(6)-2 cm
Length=24-2 cm
Length=22 cm
If you have any confusion in this question, please let me know.
Directions: Answer the following questions below on a separate sheet of paper.
Compute for the Income Tax Due of the following:
1. Gross income of 350,000
2. Gross income of 600,000
3. Gross Income of 1,000,000
4. Gross Income of 2,500,000
5. Gross Income of 10,000,000
Answer:
5. gross income of 10,000,000
help me please
only the 22. (c)
Answer:
d.
took the test
Step-by-step explanation:
A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the truck? Explain.
Answer:
13 refrigerators and 7 pianos will NOT overload the truck
Step-by-step explanation:
For x refrigerators, their total weight is 300x.
For y pianos, their total weight is 525y.
The total weight of both of these together must not exceed 7600, so the inequality is ...
300x +525y ≤ 7600
__
The point (x, y) = (13, 7) lies in the solution area. The truck will not be overloaded.
__
Check
300(13) +525(7) = 7575 . . . this is less than 7600
Answer:
Step-by-step explanation:
Represent the number of refrigerators by r and that of pianos by p.
Then the total weight in the truck bed is calculated and we determine whether or not this total is less than the truck capacity.
Find the total weight of the load consisting of 13 refrigerators and 7 pianos. The inequality given above becomes:
w(r, p) = (300 lb)r + (525 lb)p ≤ 7600 lb
w(13, 7) = (300 lb)13 + (525 lb)7 ≤ 7600 lb becomes:
w(13, 7) = 3900 lb + 3675 lb = 7575 lb
Since 7575 lb is just under the truck's capacity (7600 lb), the truck will not be overloaded.
Complete the following proof. Given: (BD) is the perpendicular bisector of (AC) Prove: ∢A≅∢C
Statement Reason
1. (BD) is the perpendicular bisector of (AC) 1. Given
2. Point B is the midpoint of (AC) 2. Definition of perpendicular bisector
3. 3. Definition of midpoint
4. ∢ABD and ∢CBD are right angles 4. Definition of perpendicular bisector
5. ∢ABD and ∢CBD are congruent 5. All right angles are congruent.
6. 6. Reflexive property of congruence
7. 7.
8. ∡A≅∡C 8.
Answer:
I dont know if this is right but... i tried XD
Step-by-step explanation:
Angle A is congruent to angle C.
What is Triangle?A triangle in geometry is a polygon with three sides and three angles. The sum of the interior angles of a triangle is 180°.
If XYZ is a triangle, it is represented as ΔXYZ
Here, it is given that BD is the perpendicular bisector of AC.
Then by the definition of perpendicular bisector, B is the midpoint of AC.
Consider ΔABD and ΔCBD
ΔABD and ΔCBD are right triangles with ∡ABD = ∡CBD = 90°.
So, ∡ABD ≅ ∡CBD (∵ all right angles are congruent)
Now, by the reflexive property of congruence, every side or angles are congruent to itself.
So BD ≅ BD
Since B is the midpoint of AC, AB = BC.
Hence AB ≅ BC
By SAS theorem, if two sides and an angle of a triangle are congruent to two sides and angles of another triangle, then both triangles are congruent.
Hence ΔABD ≅ ΔCBD
So, Angle A is congruent to angle C.
Hence ∡A ≅ ∡C if BD is perpendicular bisector of AC.
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Which multiplication problem is represented by this grid?
Answer:
The last one is the answer.
CAN ANYONE SAY WHAT IS 1 + 1 PLZ FAST FAST PLZ
Answer:
1+1???????? 1+1=2. :/
f(x)={x+4….
for f(x)
Answer:
x+4 x<5
8 5<_x<7
2x -1 7<_x<_10
Find the perimeter. Simplify your answer.
S+1
s
S+1
Please help please please
Answer: Profit
Step-by-step explanation:
1. She made profit
2. She got 300 more than what she bought it for.
3. Her percentage was I think 25% more ( i am not sure on this one)
PLZ HELP ASAP! I'LL GIVE BRAINLIEST AND POINTS JUST HELP PLZ
plz no links
Divide these numbers in scientific notation.
(9.6*10^-8) divided by (3*10^-7)
Answer:
3.2 *10^-1
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\dfrac{9.6*10^{-8}}{3*10^{-7}}==\dfrac{9.6}{3}*10^{-8-[-7]}\\\\\\= 3.2*10^{-8+7}\\\\\\=3.2*10^{-1}[/tex]
Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
Answer:
Exponential Growth
Step-by-step explanation:
Lines m and n are parallel. Find the following angle pairs in the diagram. if you cant find any, write none.
Answer:
1. Alternate exterior: None
2. Corresponding angles: None
3. Same side exterior angles: <1 and <5
4. Alternate interior: <3 and <4
5. Same side interior: <2 and <4
Step-by-step explanation:
Please help me. What is 5 3/4 - 2 11/12? I'm almost done for the year
Answer:
2.83
Step-by-step explanation:
helppppp plzzzz is fue today
Answer:
0
Step-by-step explanation:
There is no gradient there.
3y + 2 = 4x , x+ 5y = 3 what is the solution to the system of equations shown above? (in fraction form)
Answer:
19/23, 50/23
Step-by-step explanation:
We can take the first equation and isolate the x:
x + 5y = 3 ⇒ -5y ⇒
x = 3 - 5y.
Then we can substitute the x in the first equation by this:
3y + 2 = 4(3-5y) ⇒
3y + 2 = 12 - 20y ⇒ +20y
23y + 2 = 12 ⇒ -2
23y = 10 ⇒ ÷23
y = [tex]\frac{10}{23}[/tex]
Then we can add the value of y into the equation equaling x we made:
x = 3 - 5([tex]\frac{10}{23}[/tex]) ⇒
x = 3 - [tex]\frac{50}{23}[/tex] ⇒
x = [tex]\frac{19}{23}[/tex]
Hope this helps! :)
What is meant by Sets ?
Answer:
In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a single element is a singleton.
find the square root of 48
[tex] \: \: \: \: \: [/tex]
6.92820323step-by-step explanation
refer to the attachment
hope it helps(a) 3 - 2/3÷4/3 × 7
(b) [(2/3)/(5/6)]-2/5
(c) {(-3/4) +( 1/2)}/{(2/5)-(5/2)}
Step-by-step explanation:
a. (3 - 2/3) ÷ (4/3 x 7)
= [(3 x 3) / (1 x 3) - 2/3] ÷ 28/3
= (9/3 - 2/3) ÷ 28/3
= 7/3 x 3/28
= 21/84
= (21 x 1) / (21 x 4)
= 1/4
b. 2/3 ÷ 5/6 - 2/5
= 2/3 x 6/5 - 2/5
= 12/15 - 2/5
= (3 x 4) / (3 x 5) - 2/5
= 4/5 - 2/5
= 2/5
c. (- 3/4 + 1/2) ÷ (2/5 - 5/2)
= [- 3/4 + (1 x 12) / (2 x 2)] ÷ [(2 x 2) / (5 x 2) - (5 x 5) / (2 x 5)]
= (- 3/4 + 12/4) ÷ (4/10 - 25/10)
= 9/4 ÷ (- 21/10)
= 9/4 x - 10/21
= - 90/84
= (6 x - 15) / (6 x 14)
= - 15/14.
If you have any doubt, then you can ask me in the comments.
Dakota earned $12.50 in interest in Account A and $11.25 in interest in Account B after 15 months.
If the simple interest rate is 4% for Account A and 3% for Account B, which account has the greater
principal? Explain.
Answer:
You haven't explained the time for account A - we will assume 12 months or the answer is obvious:
for Acct(A) : I = 12.5 = A1 * .04 A1 = $312.50
for Acct(B) I = 11.25 = A2 * .03 * 5/4 = 300
Note that annual interest in B is .03 or I = .03 + .03 * 1/4 = .0375 for 15 mos.
11.25 = .0375 * A2 A2 = 300
Account A will have the greater principal
hi! I need help ! Triangles geometry angles table.
Answer:
145°
Step-by-step explanation:
[Finding the non-label angled in the triangle] 180° - 75° = 105°
Finding 3: (x = angle 3)
[Sum of a triangle's angles] 105° + 40° + x (angle 3) = 180
[combine like terms] 145° + x = 180°
[subtracting 145 from both sides] 35° = x
() We can test that this is correct by adding 40 and 35 together, to get angle 1 as it is an exterior angle
Finding 4: (x = angle 4)
180 - 35 = 145°
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.
1st___
2nd___
3rd___
Answer:
1st = 13
2nd = 21
3rd = 36
Step-by-step explanation:
Let the first number be
f
The second of three numbers is 8 more than the first,
f + 8
third number is 3 less than 3 times the first.
3f - 3
---------------------------
the third number is 15 more than the second,
3f - 3 = (f + 8) + 15
3f - 3 = f + 23
Subtract f from both sides
2f - 3 = 23
add 3 to both sides
2f = 26
Divide both sides by 2
f = 13
f + 8 = 13 + 8 = 21
3f - 3 = 3(13) - 3 = 36
PLEASE HELP 7th GRADE MATH ASAP!
I dont know what the constant of proportionality is, so HELP
Answer:
a. 28.7 miles
b. 40 miles
Step-by-step explanation:
See attachment.
Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph). Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.
a. 28.7 miles
b. 40 miles