Answer:
Part a) <1=72°
Part b) <2=108°
Part c) <3=72°
Part d) <4=108°
Step-by-step explanation:
step 1
Find the measure of angle 1
we know that
<1+108°=180° -----> by supplementary angles
so
<1=180°-108°=72°
step 2
Find the measure angle 2
we know that
<2=108° -----> by corresponding angles
step 3
Find the measure angle 3
we know that
<3=<1-----> by corresponding angles
so
<3=72°
step 4
Find the measure angle 4
we know that
<4=108° -----> by alternate exterior angles
Answer:
Reject H0 since test statistic <-2.492
Step-by-step explanation:
Given that the American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day.
n = 25
x bar = 69
s= 8.3
std error = s/sqrt n = 
H0:
Ha: 
(Left tailed test at 5% significance level)
a) Reject H0 if t
-2.492
b) Test statistic = mean difference/std error
= 
=-3.01
df =24
c) Reject H0
AD = 5
BC = 15
AB = 5
Area = 1/2(AD + BC)*AB
Area = 1/2(5 + 15)(5)
Area = 1/2(20)(5)
Area = 50
Answer:
Shortest side = 7 inches.
Medium side = 9 inches.
Longest side = 10 inches.
Step-by-step explanation:
Let the shortest side be x.
Translating the word problem into an algebraic equation, we have;
Shortest side = x
Medium side = x + 2
Longest side = x + 3
The perimeter of a triangle is given by the addition of all its three (3) sides.
Mathematically, the perimeter of a triangle is given by the formula;
Substituting into the equation, we have;
26 = x + x + 2 + x + 3
26 = 3x + 5
3x = 26 - 5
3x = 21
x = 21/3
x = 7 inches.
<em>Therefore, the length of the three sides are;</em>
<em>Shortest side = x = 7 inches. </em>
<em>Medium side = x + 2 = 7 + 2 = 9 inches. </em>
<em>Longest side = x + 3 = 7 + 3 = 10 inches. </em>