Answer:
Step-by-step explanation:
we have the expression:
To factor this expression we need to indentify the components that are common in both terms.
At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:
so we can substitute this into the expression:
and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:
Answer:D
Step-by-step explanation:y-4=3(x-1)
y-4=0 3(x-1)
y=-4 , 3x-3
y=-4=3x-3
3 3
y=-4, = x=1
y-x=1+4=5
The slope is 1/2.
You can figure it out using the rise over run method
Answer:
Prisms have two congruent -- or identical -- bases, and pyramids only have one base. The shape of the base on pyramids and prisms can vary, depending on the shape of the overall three-dimensional object. For example, the base could have a square, rectangle, triangle, hexagon, pentagon or octagon shape.
Step-by-step explanation:
Answer:
All angles in this diagram are 51 or 129. See below for a specific angle.
Step-by-step explanation:
Parallel lines cut by a transversal have specific angle relationships.
- Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 3, 6, 7, and 10 are all congruent and are pairs of alternate interior angles. 4, 5, 8, and 9 are congruent as well.
- Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 2 & 11 are congruent alternate exterior angles. 1 and 12 are another set.
- Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 2 = 129, then Angle 1+ 129 =180. Angle 1 must be 51 degrees.
- Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 3 are both 129.
Using these relationships, the following angles have the following measures:
Angle 1 = 51
Angle 2 = 129
Angle 3 = 129
Angle 4 = 51
Angle 5 =51
Angle 6 = 129
Angle 7 = 129
Angle 8 = 51
Angle 9 = 51
Angle 10 = 129
Angle 11 = 129
Angle 12 = 51
