Answer:
m∠U = 54°
m∠T = 72°
Step-by-step explanation:
The triangle shown is an isosceles triangle. Therefore, the 2 sides and angles that are marked must be congruent:
m∠S = m∠U
m∠S = 54°
m∠U = 54°
All angles in a triangle add up to 180°:
m∠S + m∠U + m∠T = 180°
54° + 54° + m∠T = 180°
108° + m∠T = 180°
m∠T = 72°
Answer:
Step-by-step explanation:
The system of equations given are:
5x - y + z = -6 ------------- i
2x + 7y + 3z = 8 ---------- ii
x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z;
5x - y + z = -6 x 7
2x + 7y + 3z = 8 x 1
35x - 7y + 7z = -42 ---- iv
2x + 7y + 3z = 8 ---- v
Add equation iv and v;
37x + 10z = -34 ------vi
So, let us solve equation vi and iii:
x + 2z = 6 - ---------- iii x 10
37x + 10z = -34 --- iv x 2
10x + 20z = 60 vi
74x + 20z = -68 vii
Subtract vi - vii;
-64x = 128
x = -2
So; put x = -2 into iii;
x + 2z = 6
-2 + 2z = 6
2z = 6 + 2 = 8
z = 4
Put x = -2 and z = 4 into equation i;
5(-2) - y + 4 = - 6
-10 -y +4 = -6
-6 - y = -6
-y = 0
y = 0
Answer:
Step-by-step explanation:
50t/(t^2+25)
4(t) = [50(t^2+25)-50t(2t)]/(t^2+25)^2 = (-50t^2+1250)/(t^2+25)^2
= -50(t^2-25)/(t^2+25)^2
Roots of 4(t) are 5 and -5
Answer:




Step-by-step explanation:
Given


Required
Select Yes or No for the given options

Considering the sine of angle B, we have:


Make AB, the subject


Considering the cosine of angle B, we have:


Make AB the subject


Considering the cosine of angle B, we have:


Make AB the subject


<em>This has been shown in (c) above</em>