Answer:
50cm²
Step-by-step explanation:
Let the width be x cm
The length will be x + 5 cm
Perimeter is 30cm
Perimeter is given by (2 × length) + ( 2 × width)
2(x + 5) + 2x = 30cm
2x + 10 + 2x = 30cm
4x = 20cm , x = 20/4 = 5cm
x (width) = 5cm
Length = 5 + 5 = 10cm
Area = Length × width
Area = 10cm × 5cm = 50cm²
D. When you reflect over the y axis, the coordinates change from (x,y) to (-x,y). Since all of the numbers are negative, the x coordinate would be positive
Answer:
36
20 percent * 180 =
(20:100)* 180 =
(20* 180):100 =
3600:100 = 36
Now we have: 20 percent of 180 = 36
Question: What is 20 percent of 180?
Percentage solution with steps:
Step 1: Our output value is 180.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$180=100\%$.
Step 4: Similarly, $x=20\%$.
Step 5: This results in a pair of simple equations:
$180=100\%(1)$.
$x=20\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{180}{x}=\frac{100\%}{20\%}$
Step 7: Again, the reciprocal of both sides gives
Step-by-step explanation:
Hope it is helpful.....
Answer:
See explanation
Step-by-step explanation:
Consider triangles PTS and QTR. In these triangles,
- given;
- given;
- as vertical angles when lines PR and SQ intersect.
Thus,
by AAS postulate.
Congruent triangles have congruent corresponding sides, so

Consider segments PR and QS:
![PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}]](https://tex.z-dn.net/?f=PR%3DPT%2BTR%5C%20%5B%5Ctext%7BSegment%20addition%20postulate%7D%5D%5C%5C%20%5C%5CQS%3DQT%2BTS%5C%20%5B%5Ctext%7BSegment%20addition%20postulate%7D%5D%5C%5C%20%5C%5CPT%3DQT%5C%20%5B%5Ctext%7BProven%7D%5D%5C%5C%20%5C%5CST%3DRT%5C%20%5B%5Ctext%7BGiven%7D%5D)
So,
![PR=SQ\ [\text{Substitution property}]](https://tex.z-dn.net/?f=PR%3DSQ%5C%20%5B%5Ctext%7BSubstitution%20property%7D%5D)
Answer:
Step-by-step explanation:
Given that in a high school graduating class of 202 students, 95 are on the honor roll. Of these, 71 are going on to college, and of the other 107 students, 53 are going on to college.
Total students = 202
Honor roll = 95
College going out of honor = 71
Non college going out of honor = 24
Not in honor roll = 107
Not going to college from not in honour = 53
The probabilities that the person chosen is
(a) going to college, = 
(b) not going to college, =
(c) on the honor roll, but not going to college
=