Answer:
See proof below.
Step-by-step explanation:
Statements Reasons
1. Line AB is parallel to line CD 1. Given
2. <A is congruent to <ECD 2. If parallel lines are cut by a
transversal, then corresponding
angles are congruent.
3. <B is congruent to <EDC 3. If parallel lines are cut by a
transversal, then corresponding
angles are congruent.
4. Tri. AEB is congr. to tri. CED 4. If two angles of a triangle are
congruent to to angles of another
triangle, then the triangles are
similar.
4x + 3y = 26
x = 3/2y + 2
solving for y:
4 (3/2y + 2) + 3y = 26
6y + 8 + 3y = 26
9y + 8 =26
9y = 18
y = 2
solving for x:
x = 3/2(2) + 2
x = 3 + 2
x = 5
done.
**optional: use second equation to check
Answer: <u>21x</u>
Step-by-step explanation:
Change 25% to a decimal
0.25
Multiply 84 and x
84x
Multiply 84x by 0.25
21x
The new expression would be -12x-20, this can be done using distributive property.
Answer:
a. should not be rejected
Step-by-step explanation:
H0 : σ² = 0.003
H1 : σ² > 0.003
We obtain the test statistic :
χ² = [(n - 1) * s²] ÷ σ²
s = sample standard deviation = 0.06
n = sample size = 26
σ² = 0.003
χ² = [(26 - 1) * 0.06²] ÷ 0.003
χ² = (25 * 0.06²) / 0.003
χ² = 30
Using the Pvalue from χ² calculator :
Pvalue = 0.2242
Using α = 0.05
Pvalue > α; we fail to reject the Null