Answer:
<em>w= 1</em>
<em>x = 6</em>
Step-by-step explanation:
<em>Congruent Triangles</em>
When two triangles are determined to be congruent, their side lengths and angles have the same measure.
We are given the condition that triangles FGH and ABC are congruent. This implies that sides FH and AC have the same measure, or, equivalently:
x + 12 = 18
Solving:
x = 18 - 12 = 6
x = 6
Similarly, sides HG and CB have the same length, thus:
w + 45 = 46
Solving:
w = 46 - 45 = 1
w= 1
Answer:
5 inches every two weeks
Step-by-step explanation:
Answer:
20+40=60
60*3 = 180
It will take 180 minutes.
Step-by-step explanation:
A = a^2
112 = a^2
sqrt 112 = a
sqrt 16 * sqrt 7 = a
4 sqrt 7 = a
so 4 sqrt 7 is the length of each side
Answer:
a = 7, b = 24 if quadrant 1
a = -7, b = -24 if quadrant 2
Step-by-step explanation:
Tan theta = sin(theta) × sec(theta)
a/24 = (7/25) × (25/b)
ab = 168
a = 168/b
1 + tan²(theta) = sec²(theta)
1 + a²/576 = 625/b²
1 + 168²/576b² = 625/b²
1 = 576/b²
b = 24 (+ or -)
a = 168/24 = 7 (+ or -)