Answer:
C 4.5 the two triangles in the diagram are similar.
Step-by-step explanation:
Since, the two triangles in the diagram are similar.
Therefore,
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
11x - 3 = x - 13
-x -x
10x - 3 = -13
+13 +13
10x = 10
---- -----
10 10
x = 1
Answer:
identity property
Step-by-step explanation:
The sum of 0 and any number is that number is the identity property of addition
a+0=a
15+0=15
Answer:
<h3>135°</h3>
Step-by-step explanation:
Find the diagram attached
From the given diagram, since AB is parallel to CD, this means both lines have similar properties.
For the triangle GEF, AFB, ∠GEF = ∠GED - ∠FED
Given ∠GED = 135 and ∠FED = 90
∠GEF = 135-90
∠GEF = 45°
Also, sum of angle in the triangle GEF is 180°, hence;
∠GEF + ∠EGF + ∠GFE = 180°
45°+∠EGF+90° = 180°
∠EGF+135° = 180°
∠EGF = 180-135
∠EGF = 45°
since the sum of angle on the straight line AGF = 180°, then;
∠AGE+∠EGF = 180°
∠AGE+45° = 180°
∠AGE = 180°-45°
∠AGE = 135°
<em>Hence the value of ∠AGE is 135°</em>