(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
~
Let m = 10 and n = 2
We know:
y^2 = (m+n).m
y^2 = (10+2).10
y^2 = 120
y = √(120)
Then,
m^2 + x^2 = y^2
10^2 + x^2 = ( √( 120) )^2
100 + x^2 = 120
x^2 = 120 - 100
x^2 = 20
x = √(20)
x = √(4×5)
x = √(4) × √(5)
x = 2√(5)
I hope this has helped!
(2,4)
I marked them on coordinate plane
Answer:
Step 2
18 over 8 to a decimal is 2.25
Step-by-step explanation:
Step 1, 20, subtract 16 labeled as
Step 2, 40 labeled as
Step 3, subtract 40, and 0 labeled as Step 4.
Divisor = 8
Divided = 18
Quotient = 2.25
2.25
8 √18
- 16
2 0
- 16
4 0
- 40
0
The first error is at step 2
18 over 8 to a decimal is 2.25
See the attached image for better understanding
