Answer:
See below
Step-by-step explanation:
<u>Given</u><u> </u><u>:</u><u>-</u><u> </u>
<u>To </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Proof</u><u> </u><u>:</u><u>-</u><u> </u>
Here we are required to prove that ,
And here it's given that , y || z . Therefore ,
- ∠3 = ∠6 ( alternate interior angles )
- ∠1 = ∠5 ( alternate interior angles )
Now we know that the measure of a straight line is 180°. Therefore ,
Hence Proved !
if I am not mistaken, it is asking what the least amount of sap any of the trees produced. The answer would be 1/4
Answer:
18 gallons containing 20% solvent and 6 gallons containing 60% solvent
Step-by-step explanation:
the painter needs 24 gallons of paint containing 30% solvent = 7.2 gallons of solvent
let a = 20% solvent paint
let b = 60% solvent paint
a + b = 24
0.2a + 0.6b = 7.2
(replace a = 24 - b in the second equation)
a + b = 24
0.2(24 - b) + 0.6b = 7.2
4.8 - 0.2b + 0.6b = 7.2
0.4b = 7.2 - 4.8 = 2.4
b = 2.4 / 0.4 = 6
a = 24 - 6 = 18
The sum of the angles in a triangle is 180°, so the angles do form a triangle. Since two of the three angles are congruent, the triangle is an isosceles triangle. An infinite number of isosceles triangles exist with different side lengths.
Therefore, more than one triangle exists with the given angle measures.
Answer:
The answer is 10
Step-by-step explanation:
The longer leg of this triangle is √3 times longer than the shorter leg. Since the longer leg is 5√3, then the shorter leg will be 5. The hypotenuse is twice the size of the shorter leg, so 5*2 is 10.