Answer:
x=8
Step-by-step explanation:
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.
Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
![AC = AB + BC](https://tex.z-dn.net/?f=AC%20%3D%20AB%20%2B%20BC)
If we know that
and
, then:
![AC = 8 + 24](https://tex.z-dn.net/?f=AC%20%3D%208%20%2B%2024)
![AC = 32](https://tex.z-dn.net/?f=AC%20%3D%2032)
The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
![AC = AB + BC](https://tex.z-dn.net/?f=AC%20%3D%20AB%20%2B%20BC)
![BC = AC - AB](https://tex.z-dn.net/?f=BC%20%3D%20AC%20-%20AB)
If we know that
and
, then:
![BC = 68-17](https://tex.z-dn.net/?f=BC%20%3D%2068-17)
![BC = 51](https://tex.z-dn.net/?f=BC%20%3D%2051)
The length of BC is 51 units.
Answer:
yes yes no
Step-by-step explanation:
Answer:
a= 4.993
c = 5.824
A= 59°
C = 90°
Step-by-step explanation:
b=3, B=31°
Since it's a right angle.
C = 90°
A = 180-90-31
A= 59°
For side a and c
a/sin A = b /sin B
a = sinA * b/sin B
a= sin 59 * 3/sin31
a= 4.993
a = 5
c/sin C = b/sin B
c = sin C * b/sin B
c = sin90 * 3/sin 31
c = 1* 5.824
c = 5.824