Answer:
Step-by-step explanation:
"Two times one number added to three times a second number is 21.
2x + 3y = 21
"The second number is ten less than five times the first number"
y = 5x-10
Substitution
2x+3(5x-10) = 21
2x + 15x - 30 = 21
17x = 51
x = 3
y = 5x-10 = 5
Slope = -4-5/8-2
Slope = -9/6
Answer:
19.48 m
Step-by-step explanation:
The formula that is used to find arc length is:
arc length = 2πr 
In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.
arc length = 2 × π × 9 ×
= 2 × π × 9 × 0.3444
= 19.48 m
We know that
tan ∅=opposite side angle ∅/adjacent side angle ∅
adjacent side angle ∅=opposite side angle/tan ∅
in this problem
see the attached figure to better understand the problemangle ∅=80°
opposite side angle ∅=12 ft (AB)
adjacent side angle ∅=? (AC)
adjacent side angle ∅=12/tan 80°------> 2.12 ft
the answer is2.12 ft
Answer:
Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.