For lines a , c , and d , line c is parallel to line d and m ∠ 1 = 55 ° . Part A: For the given diagram, use the measure of ∠ 1 to find the measure of the remaining seven angles. Part B: In two or more complete sentences, explain the relationship between angle pairs a) ∠ 1 and ∠ 7 and b) ∠ 1 and ∠ 2 . in your explanation, include how you calculated each of the angle measures in the special angle pairs.
Answers
Answer:
Part A:
1, 4, 5, and 8 = 55 degrees.
3, 2, 6, and 7 = 125 degrees.
Part B:
I know that angle 1 is 55 degrees so angle 7 would be 125.
I know that angle 1 is 55 and to get angle 2, both angles should add up to 180 so 180 - 55 is 125, that is how I find angle 2 = 125 degrees.
Step-by-step explanation:
This is what I wrote, I hope it helps and tell me if I am wrong but I think it is right.
Have a Meowgical day!
Part A:
The values of the angles are:
∠1 = 55
∠2 = 125
∠3 = 125
∠4 = 55
∠5 = 55
∠6 = 125
∠7 = 125
∠8 = 55
Part B:
∠1 and ∠7 are exterior angles on the same side.
∠1 and ∠2 form a straight angle.
We have,
Part A:
From the figure,
∠1 and ∠5 are corresponding angles.
So,
∠1 = ∠5 = 55
And,
∠1 and ∠8 are alternate exterior angles.
∠1 = ∠8 = 55
And,
∠1 and ∠4 are vertical angles.
∠4 = 55
And,
∠5 and ∠8 are vertical angles.
∠5 = 55
Now,
∠1 and ∠2 form a straight angle.
This means,
∠1 + ∠2 = 180
∠2 = 180 - 55
∠2 = 125
And,
∠5 and ∠6 forms a straight angle.
This means,
∠5 + ∠6 = 180
∠6 = 180 - 55
∠6 = 125
Now,
∠2 and ∠3 are vertical angles.
∠6 and ∠7 are vertical angles.
This means,
∠3 = 125
∠7 = 125
Part B:
∠1 and ∠7 are exterior angles on the same side.
This means,
∠1 + ∠7 = 180
Substituting the values.
55 + 125 = 180
180 = 180
This is true.
And,
∠1 and ∠2 form a straight angle.
This means,
∠1 + ∠2 = 180
55 + 125 = 180
This is true.
Thus,
The values of the angles are:
∠1 = 55
∠2 = 125
∠3 = 125
∠4 = 55
∠5 = 55
∠6 = 125
∠7 = 125
∠8 = 55
And,
∠1 and ∠7 are exterior angles on the same side.
∠1 and ∠2 form a straight angle.
Learn more about corresponding angles here:
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Step-by-step explanation:
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Answer:
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use either box, foil, or distribution method in order to multiply and solve
(4m-6)(8m-4)
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Answer:
You already know how to simplify an expression like
7
(
4
x
+
3
)
, right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of
28
x
+
21
. Pretty simple. But - What if you have something like this:
(
4
x
+
6
)
(
x
+
2
)
? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.
You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve
(
4
x
+
6
)
(
x
+
2
)
:
First - multiply the first term in each set of parenthesis:
First
4
x
∗
x
=
4
x
2
Outside - multiply the two terms on the outside:
Outside
4
x
∗
2
=
8
x
Inside - multiply both of the inside terms:
Inside
6
∗
x
=
6
x
Last - multiply the last term in each set of parenthesis:
Last
6
∗
2
=
12
Now just add everything together to get
4
x
2
+
14
x
+
12
. This method only works easily with two binomials. To multiply something complicated like
(
4
x
+
6
)
(
5
x
−
3
)
(
15
−
x
)
, just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.
Here are some more examples of FOIL multiplication:
Example:
Multiply the following:
(
6
x
+
1
)
(
2
x
+
9
)
Solution:
Just follow the letters in FOIL:
First:
6
x
∗
2
x
=
12
x
2
Outside:
6
x
∗
9
=
54
x
.
Inside:
1
∗
2
x
=
2
x
.
Last:
1
∗
9
=
9
.
Sum it all up and you get:
12
x
2
+
56
x
+
9
.
Example:
Multiply the following:
(
2
x
−
5
)
(
x
−
4
)
Solution:
Just follow the letters in FOIL:
First:
2
x
∗
x
=
2
x
2
Outside:
2
x
∗
(
−
4
)
=
−
8
x
Inside:
−
5
∗
x
=
−
5
x
Last:
(
−
5
)
∗
(
−
4
)
=
20
Sum it all up and you get:
(
2
x
2
−
13
x
+
20
)
.
The FOIL method is not too difficult to learn once you remember what it stands for. Just repeat first, outside, inside, last and you'll remember it. Other than that, it's just a matter of multiplying each of those steps and adding everything together. Even if the numbers are really ugly with fractions and negative signs and such just follow the steps and the method will work.
Step-by-step explanation
Only answer if you 100% KNOW its correct! :)
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Step-by-step explanation:
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Answer:
3. equivalent
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Step-by-step explanation:
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what are you doing step bro!!??
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-22
O
O
11
11
50
O
22.
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Didn't get it!
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