5. If a = b, and b = c then a = c is the transitive property.
6. The converse is switching the order of the statement.
The answer would be If A <15, then a <10: true
7. You have RS + ST = RT
Using subtraction property solve for RS by subtracting ST from both sides to get: RS = RT-ST
8. The addition property would be adding the same thing to both sides:
So. If p=q, then p+s = q+s
9. Vertical angles are the same:
6x-22 = 4x+2
Subtract 4x from both sides:
2x-22 = 2
Add 22 to both sides:
2x = 24
Divide both sides by 2:
x = 12
Answer:
Total number of tables of first type = 23.
Total number of tables of second type = 7
Step-by-step explanation:
It is given that there are 30 tables in total and there are two types of tables.
Let's call the two seat tables, the first type as x and the second type as y.
∴ x + y = 30 ......(1)
Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:
2x + 5y = 81 .....(2)
To solve (1) & (2) Multiply (1) by 2 and subtract, we get:
y = 7
Substituting y = 7 in (1), we get x = 23.
∴ The number of tables of first kind = 23
The number of tables of second kind = 7
Answer:
C
Step-by-step explanation:
The perimeter of a figure is found by adding the sides of all the figures. The figure has sides 13 and 9. Its height is 4 so each of those sides is about 4 feet. So the perimeter is 13+9+4+4 = 30
C is the best solution.
Answer:
900 sample size
Step-by-step explanation:
To determine the sample size for a proportion, the margin of error formula is used to determine this:


Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p,
is the z score.
Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5
E = 5% = 0.05,
= 3. Hence:

Answer:
THE CORRECT OPTION IS A) Δ ABC
Δ BDC
Δ ADB
Step-by-step explanation:
The first option is in correct order of triangle ,we can easily the their sides are proportionate . And having eqal angles.