<h2>
a) Select all that apply</h2>
<em> are each perpendicular to the line of reflection</em>
<em></em>
This option is the only one that is correct. The line of reflection is . When we talk about reflection, we are talking about reflecting across a line, or axis. Reflecting a shape means looking at the mirror image on the other side of the axis. So in this case, this mirror is the line of reflection. As you can see, these three segments <em> </em>form a right angle at the point each segment intersects the line .
<h2>
b) Find each length</h2>
Since the line is an axis that allows to get a mirror image, therefore it is true that:
To find those values , count the number of units you get from the point S to L, which is 3 units. Do the same to find but from the point T to M, which is 6 units and finally, for but from the point U to N, which is 4 units. Therefore:
<h2>
c) Correct Statement</h2>
<em>The line of reflection is the perpendicular bisector of each segment joining a point and its image. </em>
<em />
A bisector is the line dividing something into two equal parts. In this case, the line of reflection divides each segment into two equal parts and is perpendicular because this line form a right angle with each segment. As we demonstrated in a) each segment is perpendicular to the line of reflection, so the first statement is false. On the other hand, each side of the original triangle is not perpendicular to its image and this is obvious when taking a look at the figure. Finally, as we said the line of reflection is perpendicular to each of the mentioned segments, so they can't be parallel as established in the last statement.
If m∠Q = m∠R, then:
2x+5 = x+7
2x-x = 7-5
x = 2
m∠R = x+7 = 2+7 = 9°
Answer: 9°
Answer:
no solution
Step-by-step explanation:
Simplifying
11q + -6 = 3q + 8q
Reorder the terms:
-6 + 11q = 3q + 8q
Combine like terms: 3q + 8q = 11q
-6 + 11q = 11q
Add '-11q' to each side of the equation.
-6 + 11q + -11q = 11q + -11q
Combine like terms: 11q + -11q = 0
-6 + 0 = 11q + -11q
-6 = 11q + -11q
Combine like terms: 11q + -11q = 0
-6 = 0
Solving
-6 = 0
Couldn't find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.
Answer:
she will need about 7 baskets, the proper number is 6.7 but round up and its 7
Step-by-step explanation:
hope this helps!
Answer:
Yes, his collection will be complete by the time his grandfather visits
Step-by-step explanation:
Here, we want to know if his collection would be complete by the time his grandfather visits.
From the question;
he has collected 13 different quarters in 2.25 months
At the same rate, x different quarters will be collected in 9 months
Thus, mathematically;
x * 2.25 = 13 * 9
x = (13 * 9)/2.25 = 52
Thus, at this rate he would have collected 52 quarters in 9 months.
Since he has only 50 to collect, it means his collection would be complete by the time his grandfather visits