Answer:
Step-by-step explanation:
Step 1:
Step 2:
Step 3:
Step 4:
To complete the square, add 
to both sides.
Step 5:
Step 6:
Taking square roots on both sides.
Answer:
Robyn's model is logical, while Mark's is illogical.
Step-by-step explanation:
This question doesn't require calculations. What we need to do is analyze each model logically.
Mark's
Mark's representation indicates 20 instead of 2, which signifies that 200 is ten times greater than 20, making it nonsensical.
Robyn's
Robyn's representation displays 2, suggesting that 200 is 100 times greater than 2, which is not only accurate but also reasonable since 100 * 2 equals 200.
Answer:
Angle x = angle 115°.
Step-by-step explanation:
Given: We have two parallel lines intersected by a transversal.
To find: The value of x.
Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.
Thus, angle x = angle 115, being corresponding angles.
Therefore, angle x = angle 115.
Answer:
The photographer sold 72 small photos and 54 large photos.
Step-by-step explanation:
We can create a system of equations based on the details provided. Let X represent small photos and Z represent large photos.
It is given that the total number of photos sold is 126:
X + Z = 126
Additionally, she generated $2,250 from selling specific amounts of small and large photos, stated as:
$2,250 = $11X + $27Z
From the first equation, we know X=126-Z. Substituting this into the second equation gives:
2,250 = 11(126-Z) + 27Z
2,250 = 1,386 - 11Z + 27Z
2,250 - 1,386 = 16Z
864 = 16Z
Z = 864/16
Z = 54, which indicates the number of large photos sold. To find X:
X = 126 - Z
X = 126 - 54
X = 72, representing the small photos sold.
Answer:
Example Response: The diagram ought to consist of five columns; one for each 25% segment and an additional one for the total, since 25% represents 1
4
of 100%. There should be 2 rows, one designated for percentages and another for dollar figures.
Step-by-step explanation:
Edg2020
