Answer:
First Box: Factor by difference of squares
Second Box: It has all perfect squares
Third Box: see my work
Step-by-step explanation:
We have the equation 
Before we do anything, let us bring all of the terms to the left side
Now that we have moved the terms to one side, it is clear that we have a difference of squares.
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Answer:
Step-by-step explanation:
Property of a right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
If the length of sides of the given triangle are 7mm, 14mm and 15mm.
(15)² = (7)² + (14)²
225 = 49 + 196
225 = 245
False
Therefore, the given triangle is not a right triangle.
Answer:
3. x = 17
4. a. m<NMP = 48°
b. m<NMP = 60°
Step-by-step explanation:
3. Given that <BAM = right angle, and
m<BAM = 4x + 22, set 90° equal to 4x + 22 to find x.
4x + 22 = 90
Subtract 22 from both sides
4x + 22 - 22 = 90 - 22
4x = 68
Divide both sides by 4
4x/4 = 68/4
x = 17
4. a. m<NMQ = right angle (given)
m<PMQ = 42° (given)
m<PMQ + m<NMP = m<NMQ (angle addition postulate)
42 + m<NMP = 90 (substitution)
m<NMP = 90 - 42 (subtracting 42 from each side)
m<NMP = 48°
b. m<NMQ = right angle (given)
m<NMP = 2*m<PMQ
Let m<PMQ = x
m<NMP = 2*x = 2x
2x + x = 90° (Angle addition postulate)
3x = 90
x = 30 (dividing both sides by 3)
m<PMQ = x = 30°
m<NMP = 2*m<PMQ = 2*30
m<NMP = 60°
In order to use the simple interest formula, we first define the variables. The interest would be equal to Samuel's desired amount $ 2,488 minus the principal amount of $ 1,800 which is then equal to $ 688. The rate must be in decimal form which is equal to 0.12 while t is expressed in years. Substituting the values, t is equal to 3. Thus, it will take 36 <span>months for Samuel's account balance to reach $2,448. </span>
To find $9,567 rounded to the nearest hundred you must first find the hundreds place which is where 5 is then according to the number behind it you either round up or you keep 5 the same since the number behind 5 is 6 you round 5 up one which brings 5 to 6 now everything behind your new number is turned to 0. so your new amount would be $9,600
