9514 1404 393
Answer:
- The are congruent.
- They are non-adjacent.
Step-by-step explanation:
Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are <em>alternate exterior angles</em>.
Alternate exterior angles are congruent.
The share a side (the transversal, but not a vertex. So they are non-adjacent.
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<em>Additional comment</em>
In this geometry, <em>corresponding</em> angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.
Answer:
y=-3x+4
Step-by-step explanation:
The question is asking for the equation in slope-intercept form. This is y=mx+b where m is the slope and b is the y-intercept.
The slope can be found by counting the units in between two points on the graph. Remember that slope is rise over run or y/x. Two points on the graph are (2,-2) and (1,1). The y is increasing by 3 while x is decreasing by 1. This means the slope is -3.
The y-intercept is where the line intersects with the y-axis. In this case, that point is (0,4). Therefore, b=4.
The final answer is y=-3x+4.
Answer:
286 mm²
Step-by-step explanation:
A trapezium is given with ,
- Parallel sides = 24mm , 28 mm
- Height = 11mm .
<u>The </u><u>area </u><u>is </u><u>given</u><u> by</u><u> </u><u>:</u><u>-</u><u> </u>
Area = 1/2 ( b₁ + b ₂) × h
Area = 1/2 ( 24 + 28)×11 mm²
Area = 1/2 × 52× 11mm²
Area = 286 mm²
<h3>
<u>Hence </u><u>the</u><u> </u><u>area </u><u>of</u><u> the</u><u> </u><u>trapezium</u><u> </u><u>is </u><u>2</u><u>8</u><u>6</u><u> </u><u>mm²</u><u>.</u></h3>
4(2 + 3) - [7 - [4 - (8 + 5)]]
First, do the parentheses:
4(5) - [7 - [4 - 12]]
Then complete the rest from the inside out:
20 - [7 - (-8)]
20 - 15 = 5
Answer:
1/4
Step-by-step explanation:
you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose
an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.
