Answer:
Since this is a parallelogram it's congruent (the angles on one side are equal the other basically). The angles on the other side are already given and they have to be congruent to the others since it's a parallelogram. As such <TUV would be 48° and <UTV would be 54°
The answer is 9 3/7 the last one
Answer:
Almonds cost $8 per pound and Cashews cost $10 per pound.
Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:
8a + 10c = 60
Only Cashews:
This means that Almonds would be zero.
8(0) + 10c = 60
10c = 60
c = 60/10
c = 6 pounds of cashews
Only Almonds
8 * a + 10(0) = 60
8a = 60
a = 60/8
a = 7.5 pounds of almonds
A mixture of both.
We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.
Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:
8 * 5 + 10c = 60
40 + 10c = 60
10c = 60 - 40
c = 20/10
c = 2 pounds of cashews
Answer:
Step-by-step explanation:
If the 2 is an exponent, it needs to be written as ^2.
(5+√3)² = 5² + 10√3 + 3 = 28 + 10√3
Answer: Translate triangle ABC so that point B lies on point D to confirm ∠B ≅ ∠D.
Step-by-step explanation: Since we already know that angle A is congruent to itself by the reflexive property, all we need is another pair of corresponding angles to be congruent according to the AA (angle-angle) similarity postulate. This postulate states that; If two corresponding angles of two or more triangles are congruent, the triangles are similar. So when we translate triangle ABC so that point ∠B lies on ∠D, we prove that these two angles are congruent.
I also got it right on the test. So... yeah.
hope this helps dood.