Answer:
<u>The smaller angle measures 44° and the larger measures 136°</u>
Step-by-step explanation:
Smaller angle = x
Larger angle = 3x + 4
Therefore, we have:
x + 3x + 4 = 180
4x = 180 - 4
4x = 176
x = 176/4
x = 44 ⇒ 3x + 4 = 136
The smaller angle measures 44° and the larger measures 136°
<u>Can I get a brainliest plz?</u>
(3/4) /(4/5) = x/1
cross multiply
4/5x = 3/4
x = 3/4 * 5/4
x = 15/16 tons of pebbles are needed to cover the entire garden
Answer:
x=23, y=157
Step-by-step explanation:
23 and x are on equalivent sides of the rhombus so they are equal. To solve for y you have to multiple 23 by 2. Getting 46 you subtract that from 360 to get 314. Dividing 314/2 you get 157.
Answer:
110 yards of string
Step-by-step explanation:
Converting the feet of the string of 1 balloon to yard
1 foot = 1/3 yard
6 feet = x
x = 6 × 1/3 yard
x = 2 yard
Hence 1 balloon uses 2 yard of string
Since:
1 balloon = 2 yard of string
55 ballons = x
x = 55 × 2 yard of string
x = 110 yards of string
Hence, for 55 balloons he would need 110 yards of string.
The cross product of two vectors gives a third vector

that is orthogonal to the first two.

Normalize this vector by dividing it by its norm:

To get another vector orthogonal to the first two, you can just change the sign and use

.