Answer:
Theresa's height is 60 inches
Step-by-step explanation:
The given parameters are;
The height of Paul = The height of Steve
Paul's height = 
times Theresa's height - 16 inches
Steve's height = 
times Theresa's height - 6 inches
Let 'T' represents Theresa's height, we have;
Paul's height = ×T - 16
Steve's height = ×T - 6
Paul's height = Steve's height
Therefore;
×T - 16 = ×T - 6
×T - ×T = 10
×T - 
×T = 10
×T = 10
T = 10 × 6 = 60
Theresa's height, T = 60 inches
<span>First, we determine the factors of 45. We can immediately note that 45 is the product of 9 and 5. Out of 9 and 5, 9 can further be expressed into the product of 3 and 3. The prime factorization therefore is,
45 = 3 x 3 x 5
Since the factors in the right-hand side of the equation are already prime numbers then, this factorization can no longer be written in simpler forms.</span>
Answer:
4
Step-by-step explanation:
Write an equation of a line in slope-intercept form for the given conditions.
-intercept and -intercept
(Hint: Write the intercepts as ordered pairs)
Answer:
∠1 - 40°
Step-by-step explanation:
∠1 - 40°
b/c it's a right triangle and we have two angles given, 50° and 90°. Add them and subtract by 180° and get 40°.
∠2 - 140°
b/c an exterior (outside) angle is equal to the two most isolated / farthest angles added. The two most is angles are 105° and 35°, add them and get 140°.
∠3 - 40°
b/c ∠'s 1 and 3 are vertical angles meaning they're equal so since ∠1 is 40°, so is ∠3.
∠4 -
b/c ∠' s 2 and 4 are vertical angles meaning they're equal so since ∠2 is 140°, so is ∠4.
∠5 - 35°
b/c we have two angles, 105° and 40°. Add them and subtract by 180° and get 35°.
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I hope that helps you out!!
Answer:
it's 12
Step-by-step explanation:
5(12) =60
60+17=77
