Answer: 5
Step-by-step explanation:
use formula a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
- 144 -144
a^2 = 25
sqrt sqrt
a = sqrt (25)
a = 5
Answer:

Step-by-step explanation:
Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:
The side opposite to 30 degree angle: n
The side opposite to 60 degree angle: 
The side opposite to 90 degree angle: 2n
Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = 
A pattern of being late for work or for appointments is usually DIRECTLY RELATED TO ONE'S PERSONALITY TYPE.
There are 16 personality types. These are the following:
1) the duty fulfiller - NOT LATE
2) the mechanic - MAY BE LATE
3) the nurturer - NOT LATE
4) the artist - NOT LATE
5) the protector - NOT LATE
6) the idealist - NOT LATE
7) the scientist - NOT LATE
8) the thinker - NOT LATE
9) the doer - MAY BE LATE
10) the guardian - NOT LATE
11) the performer - MAY BE LATE
12) the caregiver - NOT LATE
13) the inspirer - MAY BE LATE
14) the giver - NOT LATE
15) the visionary - MAY BE LATE
16) the executive - NOT LATE
7, 9, 11, and 12 are all over 15sq. Inches
Hope I didn’t get it wrong and it helps❤️
<h2>
Answer: 31 & 32</h2>
Step-by-step explanation:
So we first need to assign letters to represent the numbers.
Let 'a' be the larger number and 'b' the smaller.
Now we can use this to write equations that we can solve simultaneously to find both 'a' and 'b'.
according to the question:
a + 4b = 156 [1]
a - b = 1 [2] (this is because the integers are consecutive
We can rearrange [2] to make 'a' the subject: a = b + 1 [3]
We can then substitute [3] into [1] and solve for b
(b + 1) + 4b = 156
5b = 155
b = 31
Now we can find 'a' using [3]
a = 31 + 1
a = 32