Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.
It’s false!!! Hope this helped;)
Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2
3
(9x−6)=14
(
2
3
)(9x)+(
2
3
)(−6)=14(Distribute)
6x+−4=14
6x−4=14
Step 2: Add 4 to both sides.
6x−4+4=14+4
6x=18
Step 3: Divide both sides by 6.
6x
6
=
18
6
x = 3
Firstly, this is the most important thing to know (x,y). This means that you plot the first number in the x axis and the second number in the y axis. For example, (4,10). You would plot the 4 on the right side of the x axis and you would plot the 10 all the way at the top in the y axis.
Answer:
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
(
x
+
5
)
(
x
+
2
)
becomes:
(
x
×
x
)
+
(
x
×
2
)
+
(
5
×
x
)
+
(
5
×
2
)
x
2
+
2
x
+
5
x
+
10
We can now combine like terms:
x
2
+
(
2
+
5
)
x
+
10
x
2
+
7
x
+
10
Step-by-step explanation:
