(a) 95 = (x+7)*(x-7)
(b) 95 = (x+7)*(x-7)
Expand the brackets:
95 = x² -7x + 7x -49 = x² - 49
Subtract x² from both sides:
95-x² = -49
Subtract 95 from both sides:
-x²=-49-95
-x²= -144
Divide both sides by -1 to get rid of the negative numbers:
-x²/-1=-144/-1
x²=144
Take the square root of 144:
x = ± squareroot of 144
x = 12 or -12
x = 12 because you cannot have a negative age so Trina is 12 years old.
Answer:
scale factor : 3.5
Step-by-step explanation:
56/16=3.5

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with
,
,
, and
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to
.

Now, simplify.

Subtract
on both sides.

Divide both sides by
.

Since Louise's score is
, the answer is
.
<h3>Double-checking</h3>
To verify our answer, add the point totals
,
,
, and
.
This equals
, so we can be sure the answer is correct.
Answer:
D. 73°
Step-by-step explanation:
The inside angles of a triangle always equal 180° so if we know that a right angle is already 90° we only need one more angle to know all of them:
1. 90° + 17° + ?° = 180
2. 90° + 17° = 107°
3. 180° - 107° = 73°
4. 90° + 17° + 73° = 180
5. XD
Answer:
Range:35
Mean:27.6
Step-by-step explanation:
Range is the highest number minus the smallest number 40-5=35
Mean is adding up all the numbers,then divide by how many numbers there are 414 divided by 15