Answer:
<A= 65 & <B=78
Step-by-step explanation:
this is because first we must find X, so in order to do so we must add together all angle measures, then make that equal 180. So
(2x-9)+(2x+4)+x=180
2x+2x+x-9+4=180
5x-5=180
5x=180+5
5x=185
X=185/5
x=37
Then we just have to plug in the value of x into the angle measurements.
Considering that the powers of 7 follow a pattern, it is found that the last two digits of
are 43.
<h3>What is the powers of 7 pattern?</h3>
The last two digits of a power of 7 will always follow the following pattern: {07, 49, 43, 01}, which means that, for
, we have to look at the remainder of the division by 4:
- If the remainder is of 1, the last two digits are 07.
- If the remainder is of 2, the last two digits are 49.
- If the remainder is of 3, the last two digits are 43.
- If the remainder is of 0, the last two digits are 01.
In this problem, we have that n = 1867, and the remainder of the division of 1867 by 4 is of 3, hence the last two digits of
are 43.
More can be learned about the powers of 7 pattern at brainly.com/question/10598663
Answer:
(a) f(7) = 23
(b) x = 13/3
Step-by-step explanation:
Step 1: Define
f(x) = 3x + 2
(a) f(7) is x = 7
(b) f(x) = 15
Step 2: Substitute and Evaluate
(a) f(7) = 3(7) + 2
f(7) = 21 + 2
f(7) = 23
(b) 15 = 3x + 2
13 = 3x
x = 13/3
Setup
0.8x + 0.4y = 50
0.1x + 0.2y = 10 - Multiply by -2 and add
get
0.6x = 30
x = 50 mg compound A
.1 (50) + .2y = 10
5 + .2y = 10
.2y = 5
y = 25 mg compound B
Answer:
A = 80 m^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base length and h is the height
A = 1/2 (16) *10
A = 80 m^2