Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
Answer:
=36.0
Step-by-step explanation:
We use the sine rule to find the missing sides as follows;
Lets find the missing angle C by using the summation of interior angles in a triangle.
C=180-(44+48)
=88°
Then,
a/Sin A=c/Sin C
25/Sin 44=c/Sin 88
c=(25 Sin 88)/Sin 44
c=35.97
The side c=36.0 to the nearest tenth.
Answer:
13, 4, -11
Step-by-step explanation:
g(-3) = 4-3(-3) = 4+9 = 13
g(0) = 4-3(0) =4-0 = 4
g(5) = 4-3(5) = 4-15 = -11
2. 653.5 m^3
3. 706.9 m^3
4. 141.4 m^3
5. 2309.1 m^3
6. 402.1 m^3
7. 1900.1 m^3
8. 2001.2 m^3
9. 461.8 m^3
Answer:
£16
the t-shirt increased by 0.25. let's convert that to percentage
therefore it increased by 25%
By using cross multiplication we can write as follows:
125%=£20
100%=£ x
(100×20)/125= £16