Answer:
m∠1=80°, m∠2=35°, m∠3=33°
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
step 1
Find the measure of angle 1
In the triangle that contain the interior angle 1
∠1+69°+31°=180°
∠1+100°=180°
∠1=180°-100°=80°
step 2
Find the measure of angle 2
In the small triangle that contain the interior angle 2
∠2+45°+(180°-∠1)=180°
substitute the value of angle 1
∠2+45°+(180°-80°)=180°
∠2+45°+(100°)=180°
∠2+145°=180°
∠2=180°-145°=35°
step 3
Find the measure of angle 3
In the larger triangle that contain the interior angle 3
(∠3+31°)+69°+47°=180°
∠3+147°=180°
∠3=180°-147°=33°
Answer:
2.25
Step-by-step explanation:

Answer:
0.5
Step-by-step explanation:
1/2 is one half, and if you divide 1 by 2 using long division you get 0.5
Answer:
A.
Step-by-step explanation:
From the given information:
If A = m × n matrix
where;
b is a vector in 
Then; the statement that doesn't fit and is not related to the other three from the given options is Option A.
This is because the statement in Option A appears to be inconsistent. For the model Ax=b to have a solution, A must be non-singular and b must be in A's column space.
Option c and d are equivalent, also option b and c are equivalent.
Answer:
A) See attached.
B) Cheryl owes the bank more.
Step-by-step explanation:
Given account balances:
- John: -$2.75
- Cheryl: -$3.00
- Andrew: $2.75
(Andrew has as much savings in his account as the amount John owes).
<h3><u>Part A</u></h3>
- Draw a straight, horizontal line with arrows on both ends.
- Place a tick in the center of the line and label it zero.
- Draw 4 evenly spaced ticks either side of the zero.
- Number the ticks to the right of the zero 1, 2, 3 and 4.
- Number the ticks to the left of the zero -1, -2, -3, and -4.
- Mark -2.75, -3 and 2.75 on the number line.
- Label the marks with John, Cheryl and Andrew.
(See attached number line).
<h3><u>Part B</u></h3>
The <u>absolute value</u> of a number is its <u>positive numerical value</u>.
To calculate how much John and Cheryl owe the bank, take the absolute values of their account balances:
As 3.00 > 2.75, Cheryl owes the bank more.