A.) The SAS Triangle Congruence Postulate states that if if a pair of corresponding sides, a pair of corresponding angles, and another pair of corresponding sides in two triangles are congruent, then the two triangles are congruent. Therefore, we can see that in both triangles, we are only shown a corresponding, congruent right angle. We need two pairs of sides with the corresponding right angles to prove that the triangles are congruent via SAS. We would need to know the length of side VX, and it’s corresponding side length, XV. We would also need to know the side lengths of WV and it’s corresponding side length, XK. We would then need some sort of symbol to represent a congruent relationship if the side lengths are congruent. Then, we would have two pairs of corresponding, congruent sides, and a pair of corresponding, congruent angles. Then, we would have a Side-Angle-Side.
b.) We are given two triangles with a pair of corresponding, congruent sides. We need to have a pair of corresponding, congruent angles, another pair of corresponding, congruent sides to follow SAS. Therefore, we would need to know the angle measures of angles UVW and KVM. We know that they are vertical angles, so they are indeed congruent. Now, we would need to know the side lengths of sides WV and VM. If those sides are congruent, then we have a pair of corresponding, congruent sides, a pair of corresponding, congruent angles, and another pair of corresponding, congruent sides, making SAS.
c.) The Angle Side Angle Postulate states that if there is a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles in two triangles, then the two triangles are congruent. We have a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, but we need another pair of congruent, corresponding angles. Therefore, we would need to know the angle measures of angles MLK and STU. Then we would have a a pair of corresponding, congruent angles, a pair of corresponding, congruent sides, and another pair of corresponding, congruent angles.
Please give Brainliest! This took a lot of time!
Answer:
1. $1.5 per pound
2. 8 pounds
3. 3.2 apples
4. 25.6 apples
Step-by-step explanation:
The cost of per pound of apples on sale: 3/2 = 1.5
For $12, the pounds of apples: 12/1.5 = 8
1 lb = 16 oz so 1 apple is 5/16 lb: 1/(5/16) = 3.2
for $12, the number of apples: 8/(5/16) = 25.6
Answer:
a) 6°C
b) upward
Step-by-step explanation:
a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:
maximum temperature: 18 °C
minimum temperature: 12 °C
Then:
range of temperatures: 18-12 = 6°C
b) The trend is upward because, given any temperature, the next one is higher.
<span>(x-h)^2 + (y-k)^2 = r^2
</span><span>where r is the radius of the circle, </span>
<span>and h,k are the coordinates of its center;
( x - 8 )^2 + ( y - ( - 2 ) )^2 = 1 ^2 ;
r = 1 ;
h = 8 ; k = - 2.</span>
Answer:
5/8, 3/4, 2/3, 1/2
Step-by-step explanation:
8 is more than 4, 4 is more than 3, 3 is more than 2.
