In the figure below, lines and k are parallel
M21 = m28
m23 = m25
1/2
3/4
26 = m27
19
m24+ m26 = 180°
10
5/6
7/8
→K
m25+ m2g + m2 10 = 180°
Select all the equations that must be true.
180°
27 = m29 + m2 10
Answers
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The true statements of the angles of the parallel lines are
a) m∠1 = m∠8
b) m∠6 = m∠7
c) m∠4 + m∠6 = 180°
d) 180° - m∠7 = m∠9 + m∠10
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The true statements are
a) m∠1 = m∠8 ( alternate exterior angles )
b) m∠6 = m∠7 ( vertically opposite angles )
c) m∠4 + m∠6 = 180° ( co-interior angles are supplementary )
d) 180° - m∠7 = m∠9 + m∠10 ( triangle exterior angle theorem )
Hence , the angles of the parallel lines are solved
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Related Questions
Alice's age is 5 years less than 4 times her brother's age. Alice's age is 15 minus her brother's age. How old is Alice?
Answers
Answer:
Alice is 6 1/9
Step-by-step explanation:
a is Alice and b is brother
a=4b-5
a=b-15
I prefer to use elimination
a=4b-5
-a=-b15
-3b=10
b=-10/3
a=4(10/3)-5
a=-55/3
Sharon needs 64 credits to graduate from her community college. So far she has earnedc56 credits. What percent of the required credits does she have?
Answers
Answer:
87.5
Step-by-step explanation:
56/64*100
Use the Distributive Property to simplify the expression: 2(4a+6b)
Answers
Hope that helped :)
Answer:
[tex]\huge\boxed{\sf{8a+12b}}[/tex]
Step-by-step explanation:
Hello.
Use the Distributive property to simplify the expression.
The Distributive property states that
a(b+c)=ab+ac
Simplify:
2(4a+6b)
8a+12b (Answer)
I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
PLEASE HELP! (Image of question is attached)
Answers
Answer:
a the answer is a
Step-by-step explanation:
what is meant by even symmetry? and odd symmetry? for polynomial functions
Answers
Answer:
1. the quality of being made up of exactly similar parts facing each other or around an axis.
2. For something to be an odd function, it has to have symmetry to the origin, not the x-axis. This means that if it has a point like (a, b), it also has the point (-a, -b). For example, y = x is an odd function because it does this.
Please help me !!! I’m very behind and my grade is an F
Answers
Answer:
3
Step-by-step explanation:
3 x 8 = 24
24/8 = 3
-x + 7y = 8 if x equals 6
Answers
Answer:
y=2
Step-by-step explanation:
-6+7y=8
7y=8+6
7y=14
y=2
6.Kelly has been training to run across the country. On the first day, she ran 4 miles, the
second day, she ran 12 miles, and the third day, she ran 36 miles.
a) Write an equation that models Kelly's situation?
Answers
Answer:
D= d₁ + d₂ + d₃ : where D is total distance covered in the training.
Step-by-step explanation:
Let this equation model the total distance covered in the training.
Let the total distance covered in the training to be: -------D
Let the distance covered in 1st day be ----------d₁ = 4 miles
Let the distance covered in 2nd day be ----------d₂= 12 miles
Let the distance covered in 3rd day be ----------d₃ = 36 miles
D= d₁ + d₂ + d₃
D= 4 + 12 + 36
D= 52 miles
Evaluate the expression when b=-2 and y=4.
-y+5b
Answers
giving you the equation
-4+5(-2)
when you solve that you’d get
-14
Answer:
-14
Step-by-step explanation:
-y+5b
insert the values
-4+5(-2)
multiply
-4-10
subtract
-14
If f(x) = x + 3 then what is f(5)?
Answers
Answer:
f(5)=5+3=8is a required answer
ANSWER ASAP PLEASE. I CANT FAIL ALGEBRA
Answers
Answer:
124.8 and 39.6
Step-by-step explanation:
120 * .04 = 4.8
it says to increase so 120 + 4.8 = 124.8
45 * .12 = 5.4
it says to decrease so 45 - 5.4 = 39.6
What’s the connection between input and output in this question
Answers
ITS MUltipling by 3 silly its 243
Answer:
243,y = 3^xStep-by-step explanation:
We can observe that:
3^1 = 33^2 = 93^3 = 273^4 = 813^5 = 243The rule is:
y = 3^xThe value of x is ___
°, and the value of y is
Answers
Answer:
y=50
x=60
Step-by-step explanation:
x= 180-(50+70)
x=60
y=50
X= 60 I’m pretty sure that’s the answer
— 3х – 4y = 2
—5 = 5x +5y
Systems of equations with substitution
Answers
Answer:Rewrite
(
3
x
−
4
y
)
2
as
(
3
x
−
4
y
)
(
3
x
−
4
y
)
.
(
3
x
−
4
y
)
(
3
x
−
4
y
)
Expand
(
3
x
−
4
y
)
(
3
x
−
4
y
)
using the FOIL Method.
Tap for fewer steps...
Apply the distributive property.
3
x
(
3
x
−
4
y
)
−
4
y
(
3
x
−
4
y
)
Apply the distributive property.
3
x
(
3
x
)
+
3
x
(
−
4
y
)
−
4
y
(
3
x
−
4
y
)
Apply the distributive property.
3
x
(
3
x
)
+
3
x
(
−
4
y
)
−
4
y
(
3
x
)
−
4
y
(
−
4
y
)
Simplify and combine like terms
Simplify each term.
9
x
2
−
12
x
y
−
12
y
x
+
16
y
2
Subtract
12
y
x
from
−
12
x
y
.
9
x
2
−
24
x
y
+
16
y
2
Step-by-step explanation:
Which of the points are solutions to the inequality check all that apply identifying solutions to any quality
Answers
Answer:
(0, -4)
Step-by-step explanation:
Valerie is 30 inches tall and casts a shadow that is 12
inches long. At the same time, ber teddy bear casts a
shadow that is eight inches long. How tall is the teddy
bear?
Answers
Answer:
20
Step-by-step explanation:
30:12 is the original ratio. So if you divide both sides by the numbers' GCF of 6 you'll get a simplified ratio of 5:2. Then multiply both sides by 4 to keep the ratio constant, then you'd get 20:8. So when the teddy bear casts a shadow of 8 inches long the actual teddy bear is 20 inches tall. Hope this helps!
plz show how you got the answer
Answers
Hi there! I'm here to help. :)
Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.
To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.
Begin by converting both fractions into improper fractions:
1 1/4 = 5/4
3 1/2 = 7/2
So now our equation looks like this: x + 5/4 = 7/2
Now we need to make it to where we our fractions have the same denominator.
Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.
Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4
Now we have:
1 1/4 = 5/4
3 1/2 = 14/4
Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.
Now our equation looks like this:
x = 9/4
LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.
So, x = 2 1/4. :)
Which situation can be represented by this inequality? 50 < 6m + 8
Answers
Answer:
Jim played minecraft for 3 days gathering resources, he wants more than 50 iron ingots. He mines for iron, each time he finds 6 ores per search. He returns to his base and find 8 more in his chest.
Answer:
We need to set up a room for a program. There are 50 chairs available. 8 are needed on the stage. There will be 6 rows on the main floor. What is the maximum number of chairs we can put in each row?
write the multiplier or divisor for each pair of equivalent fractions 1/4 = 7/28
Answers
Jack has two square-based pyramids that are the same size. He sticks the square faces together to make a new 3-D shape. How many faces and how many edges does his new 3-D shape have?
Answers
Answer:
8 sides, 12 edges
Step-by-step explanation:
Best to just visualize gluing the pyramids together and then counting the sides and edges
a sequence is given by the rule 4n -5.
what is the tenth term in the sequence?
Answers
Answer: 35
because the sequence is given by the rule 4n -5 => a(n) = 4n - 5
the tenth term in the sequence is a(10) = 4.10 - 5 = 35
Step-by-step explanation:
Find the vertex of this parabola:
y = -x2 - 6x - 10
Answers
Answer:-10
Step-by-step explanation: The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Find the values of
m
m
and
b
b
using the form
y
=
m
x
+
b
y
=
m
x
+
b
.
m
=
−
6
m
=
-
6
b
=
−
10
b
=
-
10
The slope of the line is the value of
m
m
, and the y-intercept is the value of
b
b
.
Slope:
−
6
-
6
y-intercept:
−
10
-b
——
2a
So for this problem that would be:
-(-6)
——— = x= -3
2(-1)
Now that you have x, to find y you need to just simply plug the number that you got for x back into the original equation and solve. Like this-
y= -(-3)2-6(-3)-10
y= 6+18-10
y= 4
This means that your vertex is (-3, 4).
I’m not sure if the 2 next to the x is meant to be squared instead of just 2, so let me know if it was meant to be that and I’d be happy to redo it for you!
Hope this helped! If it did I would appreciate it if you considered marking me brainliest!
Please help!!!!! I've been stuck for a while
Answers
Answer:y=2x
(Slope=2)
Step-by-step explanation:
The ratio is 1 to 2y is to times x y=2x
please help me on this will give you brainliest
Answers
Or they are equal to each other :)
Rewrite this expression using the distributive property.
(3x2 + 4x-7)(x-2)
Answers
Answer:
D
Step-by-step explanation:
Each factor on the right has to be multiplied by the equation on the left and then you add them.
The expression (3x² + 4x - 7) ( x- 2) can be rewritten as 3x³- 2x²- 15x + 14.
To rewrite the expression (3x² + 4x - 7) ( x- 2) using the distributive property, we need to distribute each term in the first polynomial to each term in the alternate polynomial.
(3x² + 4x - 7) ( x- 2)
= 3x²( x- 2) + 4x( x- 2)- 7( x- 2)
Now, distribute each term
= 3x³- 6x²+ 4x²- 8x- 7x + 14
Combine like terms
= 3x³- 2x²- 15x + 14
Thus, using the distributive property, the expression (3x² + 4x - 7) ( x- 2) can be rewritten as 3x³- 2x²- 15x + 14.
Learn more about Distributive Property here:
https://brainly.com/question/30321732
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help plz asap ????????????
Answers
Answer:
6
hope it is ❤❤❤❤
THANK YOU.
Answer:
Step-by-step explanation:
the answer is 18
please help me I need some help asap
Answers
Answer:
The answer is 4.
Step-by-step explanation:
Subtracy 2 from 4.
Then divide 2 by 8
Can anyone help me with this question please :( .
Answers
Answer:
I think it's non linear because the 1 to 1 wouldn't work
Joe's cell phone cost him $21 per month plus $3 for every 1GB downloaded. What is the limit to the number of GBs he can download to stay within his monthly budget of $30?
Answers
Answer:
3GB’s you just add 21 to 3 and keep adding 3 until you reach 30
21+3=24 24+3=27 27+3=30
Step-by-step explanation:
joe can only use 3gb of data . bill is 21
21+9+30
1gb=3
3*9=9
3(3)+21=30
3×3=$9
$21+9= $30
he can download up to 3 gbs anymore and he'll go over budget.
Next year, the company expects to have a production represented by the equation y = 4x.
Which of the following describes how the graph of the line would change if the company meets its goal?
A.
The line will be shifted up four units.
B.
The line will be shifted up two units.
C.
The slope of the line will be half as steep.
D.
The slope of the line will be twice as steep.