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Given: y || z
Prove: mZ5+ m2 2 + m26 = 180°
Angles Lines Statements Reasons
21
23
25
26
m21
m23
m25
m26
L
A
M
1
2
3
y
Statements
Reasons
4
5
6
7
z
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Intro
D
Using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is the Triangle Sum Theorem?The triangle sum theorem states that, when we add the all three interior angles of a triangle together, it will give us a sum of 180°.
Given that y || z:
∠1 ≅ ∠5 and ∠3 ≅ ∠6 based on the interior angles theorem. This implies that:
∠1 = ∠5 and ∠3 = ∠6 (Eqn. 1)
m∠LAM = 180° (def. of straight line angle)
Thus, using the angles addition theorem, we have:
∠1 + ∠2 + ∠3 = m∠LAM
∠1 + ∠2 + ∠3 = 180° (eqn. 2).
Using eqn. 1 and eqn. 2, substitute ∠1 = ∠5 and ∠3 = ∠6 into eqn. 2.
∠5 + ∠2 + ∠6 = 180° (substitution).
Therefore, using the above statements and reasons can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
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The proof for the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
What is Angle Sum Property?According to the triangle sum theorem, if we total up a triangle's three internal angles, we receive a value of 180°.
We have, y || z.
So, ∠1 ≅ ∠5 and ∠3 ≅ ∠6 (Alternate Interior Angle)
Using Linear Pair
∠1 + ∠2 + ∠3 = m ∠LAM
∠1 + ∠2 + ∠3 = 180°
Now, substitute ∠1 = ∠5 and ∠3 = ∠6 in above equation
∠5 + ∠2 + ∠6 = 180° .
Thus, using the above statements can be used to prove the triangle sum theorem, which is: ∠5 + ∠2 + ∠6 = 180°
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Help please I really don’t understand due in 2 days
Answer:
-3 ≤ x < 2
Step-by-step explanation:
if a woman sells bitcoins for £42000 which is 12%more than she originally bought them for then calculate the original value of her bitcoin
A principal of $4300 is invested at 3% interest, compounded annually. How much will the investment be worth after 5 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
You would have 4945 dollars in 5 years.
Step-by-step explanation:
First we look for what 3% of 4300 is
After we find it we have 129 dollars
Every year we gain 129 dollars for 5 years
129 · 5 = 645
Now we add : 4300 + 645 = 4945 dollars after 5 years
what is the answer help
Answer:
$29.88
Step-by-step explanation:
$12.45 / 5
$2.95 each pound
2.95 * 12
29.88
plsssssssssssssssssssssssssssssssssssssss
What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.
Answer:
200 cubic centimeter
Step-by-step explanation:
Answer:
201.1 cc
Step-by-step explanation:
r = d/2
v = πr^2 h
---------------------
r = 4/2
r = 2
v = π * (2^2) * 16
v = 3.14159 * 4 * 16
v = 201.06176
Rounded
v = 201.1 cc
--------------------
note:
if 3.14 is used for π
v = 200.96
which rounds to
v =201.0
evaluate the expression when c=4and d=6
36/c +d
Answer:
15
Step-by-step explanation:
36/c + d = 36/4 + 6 = 9 + 6 = 15
Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6
The answer is -2 -1
notah decides to buy a new phone.He pays $ up front and then will pay the same amount each month for 8 months.The total cost of the phone is $600.How much will Notah pay each month?
Answer:
75 dollars a month
Step-by-step explanation:
To find The amount we need to divide 600 by 8 which gives us 75
Answer:
75
Step-by-step explanation:
600 divided by 75 = 8 so his rent fee will be 75 a month
sally has 10 cups of oatmeal. she needs 1/4 cup of oatmeal to make 1 batch of cookies. how many batches of cookies can sally make
answer please answer please
Step-by-step explanation:
angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.
the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.
similarly, the angle AEB is 180 - 4x.
and then we know the sum of all angles in a triangle is airways 180 degrees.
so,
180 = 2x + 180 - 4x + 180 - 6x
0 = 180 - 8x
8x = 180
x = 22.5
If 12 inches = 1 foot, and 3 feet = 1 yard, how many inches are there in 2.5 yards? step by step
Answer:
There are 90 inches in 2.5 yards.
Step-by-step explanation:
12 inches per foot and 3 feet per yard means 36 inches per yard.
[tex]12*3=36[/tex]
Now, just multiply 2.5 yards by 36 inches/yard.
[tex]2.5*36=90[/tex]
There are 90 inches in 2.5 yards.
Which is a component of cell theory
○ Cells come from bacteria.
○ Cells come from cells.
○ Cells come from nonliving matter.
○ Cells come from non-cells.
Together, Sierra and Gavin earned $5,404. Sierra earned four-sevenths
of the money
5/7 of $5,404 is $3088.
Sierra earned $3088 and Gavin earned $2316
[tex]log_{4} (x+3)(x-3) = 2[/tex]
solve for x
Answer:
x = √11
Step-by-step explanation:
(x + 3)(x - 3) = 2
=> x² - 3x + 3x - 9 = 2
=> x² - 9 = 2
=> x² = 11
=> x = √11
Hoped this helped.
Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
answer of 42.7. Form an equation with x
Answer:
2(x + 1.7) = 42.7
Step-by-step explanation:
"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.729 divided by 3/8.
help
Answer:
1.20833333333
3-(1/3) to the fourth power
Answer:
i dint know about you but i got 2.98765432099
Step-by-step explanation:
im not sure if in right though
If any doubt please comment what you need clarification on.
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verizon wireless charges $85 for a 5 person plan and $65 for a 3 person plan.
Answer:
so whats the question. ...........
A chef uses 7
7
cups of tomatoes per batch to make pasta sauce.
Choose the equation that models the situation, where
t
represents the number of cups of tomatoes and
n
represents the number of batches of sauce.
Answer:
t=7n
because for 1 batch is 7 cups so let's say you made 3 batchs 3*7= 21 cups.
The correct equation that models the situation is t = 7n. Hence option 4 is true.
Given that;
A chef uses 7 cups of tomatoes per batch to make pasta sauce.
Let us assume that;
t represents the number of cups of tomatoes.
And, n represents the number of batches of sauce.
Hence the equation that models the situation is,
t = 7n
Therefore, option 4 is true.
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Help fast, please!!!!!!!!!!!!!!
Answer: 25% or B
Step-by-step explanation:
1. Money in November - Money in October
2. 50 - 40 = 10 dollars increased
3. 10/40 = 0.25 or 25%
1/2(12w+8)-1/8(10w-5) This confuses me very much pls help
Answer:
3 8 + 3 7 divided by 8
Step-by-step explanation:
HURRY PLS HELP IN 5 MINS
Answer:
P is the incorrect answer
What is the distance between the points (-3, 5) and (-3, -6) on the coordinate plane?
please help!!
solve for x
Answer:
4
Step-by-step explanation:
These both angles are vertically opposite angles. And, vertically opposite angles are equal. So,
→ 5x ― 6 = 3x + 2
→ 5x ― 3x = 2 + 6
→ 2x = 8
→ x = 8/2
→ x = 4
Therefore, the value of x is 4.
3x - 1 = 4x - 10 solve for x
Answer:
3x - 1 = 4x - 10
-1 = x - 10
9 = x
Step-by-step explanation:
10-1=4x-3x
9=X
this is the answer with steps
use the table to work out the values of a, b, c and d
PLEASE HELP!!!
Answer:
a = 10, b = 5, c = 14, d = 25
Step-by-step explanation:
Plug in -2 for x ....
y = 2(-2)^2 + -2 + 4
y = 2(4) + 2
y = 10
Plug in -1 for x ....
y = 2(-1)^2 + -1 + 4
y = 2(1) + 3
y = 5
Plug in 2 for x ....
y = 2(2)^2 + 2 + 4
y = 2(4) + 6
y = 8 + 6
y = 14
Plug in 3 for x ....
y = 2(3)^2 + 3 + 4
y = 2(9) + 7
y = 18 + 7
y = 25
The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.
Answer:
Independent variable = m
dependent variable = c
Step-by-step explanation:
c = 25 + 0.6m
where,
m = number of miles
c = total cost of rent
2. What is the average rate of change of the function f(x)=3x2 - 12 over the interval [1, 3]?
Answer:
5.2. Explanation: The average rate of change of the function f(x) on the interval [a,b] is: average rate of change=f(b)−f(a)b−a.
Step-by-step explanation: