Answer:
Given
Step-by-step explanation:
Consider triangle ABD and triangle DCA,
AC=BD ( given that they are diameters)
Diameters of the same circle are equal
AD=AD (common side for both triangles)
<BAD= <CDA (angles in semicircles are 90°)
So since the right angle, hypotenuse and side are equal..
ABD is congruent to CDA
(Rhs congruence rule)
Hence proved..
3. x: 180-99 = 81º (angles on a straight line equals 180)
y: 115-81 = 34º (exterior angle is sum of opposite interior angles)
4. y: 180-64 = 116 (angles on a straight line equals 180)
x: 126º
two steps
angles on straight line equals 180: 180-118 = 62º
exterior angle is sum of opposite interior angles: 62+64 = 126º
sorry if i misread any of the numbers, let me know if i did and i'll fix it
Answer: the value of the test statistic is 2.11
Step-by-step explanation:
Given that;
sample mean x" = 95
standard deviation σ = 3
sample size n = 40
Null hypothesis H₀ : μ = 94
Alternative hypothesis H₁ : μ ≠ 94
Level of significance ∝ = 0.02
Test statistic value
z = (x" - μ) / ( σ/√n)
we substitute
z = (95 - 94) / ( 3/√40)
z = 1 / 0.4743
z = 2.11
Therefore, the value of the test statistic is 2.11
Y=radical 3
just cancel out the 2 on both sides
Answer:
$70.20
Step-by-step explanation:
We need to first find the cost per gallon of the gas.
The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:
40.50 / 15 = $2.70
You need to buy 26 gallons. The cost will be:
26 * 2.70 = $70.20
You will spend $70.20.
