Answer:
x = 32
y = 51
m∠N = 14°
Step-by-step explanation:
Given:
ΔMNP ≅ ΔTUS
By the property of similarity,
MN ≅ TU, NP ≅ US and MP ≅ TS
m∠M = m∠T = 142°,
m∠N = m∠U = (2x - 50)°
m∠P = m∠S = 24°
Since, m∠N = [180°- (m∠M + m∠P)]
(2x - 50) = 180 - (142 + 24)
2x - 50 = 14
2x = 64 ⇒ x = 32
Since, NP = US,
2x - y = 13
2(32) - y = 13
64 - y = 13
y = 51
m∠N = 180° - (142 + 24)°
= 14°
Answer:
50
Step-by-step explanation:
Answer:
Let x be the number.
Given the statement: Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen.
" sum of a number and four" translated to x + 4
"Three sets of a sum of a number and four" translated to 3(x+4)
"sum of seven times the same number and thirteen" translated to 7x + 13
then;
the expression for the given statement become;
Using distributive property: 
Combine like terms;
Therefore, the simplified expression for Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen. is,
Answer:
sin A = opp / hyp = 0.82
Step-by-step explanation:
The sine function is defined as the ratio of "opposite side" to "hypotenuse."
In the given triangle, sin A = opp / hyp = 10.3 / 12.6 = 0.82 (to the nearest hundredth). That's all you have to do here.
The cosine function is the ratio of "adjacent side" to "hyp." In the given triangle, the side adjacent to angle A has length 7 .2. Thus,
cos A = adj / hyp = 7.2 / 12.6 = 0.57 (to the nearest hundredth).
